Unit 4: Thermodynamics-I (13HOURS) 4 OctEntropy 3 Black

Government of Karnataka Department of Collegiate Education

Government First Grade College, KGF

LESSON PLAN FOR THE ACADEMIC YEAR 2017-18

Programe; BSc

Course/Paper Name: Paper-: Phy- T101 Mechanics-I Heat and Therraodynamies-I Semester I SEM

Class: T.B.Sc Name of the Faculty:M.KRISHNAMURTHY

R.SOUNDAR

S.MALLIGA

( ANNEXURE-1.2) Criterion 01

(Metric-1.1.1)

B.SWATHA Total Hours; 58

SL

No.

Topic covered No. of Lecture

Hours

Methodology

/pedagogy

2017-2018 Initi

al

Unit 1: Mechanics-I (13HOURS)

1 Motion 4 Black board

July 2nd week RS

2 Friction 4

Black board July 3rd week RS

3 Planetary motion 2

Black board July 3rd week RS

4 Satellite motion 3 Black board July 4th week RS

Total hours 13

Unit 2 : Mechanics-I and Heat (13HOURS)

1 Work energy 4

Black board Augl51 week BS

2 System of particles 4 Black board Aug2,'d week BS

3 Black body of radiation 5 Black board Aug3rd week SB

Total hours: 13

Infernal Assessment Test/Quiz/Assignment - 01 3

lA/Test/Assignment Aug 3rd week RS

Unit 3:Therniodynamics-l (13HOURS)

I Kinetic Theory of Gases 6 Black board

Seplsl2Veek MK

2 Transport phenomena 2 Black board Sep 3rd week BS

3 Real Gases 5 Black board Sep4th week MK

Total hours:13

Govt.

\L

Grade College

K." ak - 563 122

Unit 4: Thermodynamics-I (13HOURS)

1 Basic Concepts and the Zeroth law of

thermodynanucs 3 Black board Oct 1st week SM

2 First law of thermodynamics 3 Black board Oct2nd week SM

3 Second law of thermodynamics 4 Black board OctBrd week RS

4 Entropy 3 Black board Oct 4th week RS

Total hours: Total hours:13

Internal Assessment

Test/Quiz/Assignment - 02

3 lA/Test/Assignment Oct 4,h week BS

Date of submission of IA Marks :05/ll/2017

Signature of Faculty Signature of HOD Rib

GOVt. CollSQG

K. G. F. - 563 122

Goverament of Karnataka Department of Collegiate Education


LESSON PLAN FOR TILE ACADEMIC YEAR 2017-18 (ANNEXURE-1.2)

Criterion 01

(Metric-1.1.1) Programe; BSc Course/Paper Name; Paper-1: Phy-102 PHYSICS-P 102, PRACTICAL PHYSICS-1

Semester I SEM Class: I.B.Sc Name of the Faculty :M.KRISHNAMURTHY

R.SOUNDAR

S.MALLIGA B.SWATHA Total Hours: 33

SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

PHYSICS-P 102, PRACTICAL PHYSICS-1

1

Verification of principle of

conservation of energy 3

PHYSICS LAB 11/07/2017 BS

2 Simple pendulum- 3 PHYSICS LAB 18/07/2017 SM

3 Determination of coefficient of

viscosity by stokes method

3 PHYSICS LAB 25/07/2017

4 Work done by variable force 3 PHYSICS LAB 01/08/2017 SM

5 Interfacial tension by drop weight

method

3 PHYSICS LAB 08/08/2017 BS

6 Specific heat by Newton's law of

cooling

3 PHYSICS LAB 22/08/2017 SM

7 Verification of Newton's law of

cooling

3 PHYSICS LAB 29/08/2017 MK

8 Determination of Stefan's constant by

emissivity method

3 PHYSICS LAB 05/09/2017 RS

9 Verification of Stefan's law 3 PHYSICS LAB 19/09/2017 MK

10 Determination of coefficient of static

kinetic and rolling friction


Internal Assessment


3 1 A/Test/Assignraent 02/10/2017 RS

Date of submission of IA Marks :05/l 1/2017

Signature of Faculty Signature \of HOD EN

Govt. FirsTGrade College

K. G. F. - 563 122



LESSON PLAN FOR THE ACADEMIC YEAR 2017-18 (ANNEXURE-L2)

Criterion 01

(Metric -1.1.1)

Programc: BSc Course/Paper Name: Paper-: Phy III- T301 Electricity and Magnetism

Semester III SEM

Class: ILB.Sc Name of the Faculty:M.KRISHNAMURTHY

R.SOUNDAR S.MALLIGA B.SWATHA Total Hours: 58

SL

No.


Hours

Methodology

/pedagogy

2017-2018

Initial

Unit 1: Electricity (13HOURS)

1 DC Circuit Analysis 8 Black board

July2nd,3Rl

week RS

2 Transient Current 5

Black board July ,4th week RS

3 Total hours 13

Unit 2 : Magnetism (13HOURS)

1 Magnetic Field and Forces 13

Black board Augl^'wee

k BS

Total hours:13

Internal Assessment Test/Quiz/Assignment - 01 3

lA/Test/Assit 28/08/2017 RS

Unit 3: Magnetism (13HOURS)

1 Scalar and Vector Field 3 Black board

Sep 1st Week BS

2 Electromagnetic waves 10 Black board Sep l3'-!81

Week BS

Total hours: 13

Unit 4: Electricity (I3HOURS)

1 Alternating Current

6 Black board Oct 1, 2nd week RS

2 Thermoelectricity 7 Black board Oct S.dSveek BS

Total hours; Total hours;!3

Internal Assessment

Test/Quiz/Assignment - 02 3 LA/Test/Assigmnent 30/10/2017 MK

Date of submission of IA Marks :05/ll/20I7

Signature of Faculty

A-a

Signature oXHOD 5AL

Govt. FTfst Grade College

K. G. F. - 563 122




(ANNEXURE-1.2) Criterion 01

(Metric-L 1.1) Programe: BSc Course/Paper Name Paper-3: Phy-302 PHYSICS-P 302, PRACTICAL PHYSICS-III Semester III SEM Class; II.B.Sc Name of the Faculty:M.KRISHNAMURTHY

R.SOUNDAR

S.MALLIGA B.SWATHA Total Hours;27

SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

PHYSICS-P 302, PRACTICAL PHYSICS-III

1 To find L and C by equal voltage method


2 Resonance in LCR series circuit 3 PHYSICS LAB 22/07/2017 RS

3 Resonance in LCR parallel circuit 3 PHYSICS LAB 29/07/2017 BS 4 Verification of The venin's theorem 3 PHYSICS LAB 05/08/2017 SM 5 Verification of Snperposition theorem 3 PHYSICS LAB 19/08/2017 BS

6 Verification of maximum power transfer theorem


7 Maxwell's Impedance bridge 3 PHYSICS LAB 06/09/2017 SM 8 Density's bridge 3 PHYSICS LAB 12/09/2017 RS

Internal Assessment

Test/Quiz/Assignment - 02 3 TA/Test/Assignment 19/09/2017 BS

Date of submission of IA Marks ; 05/11/2017

Signature of laculty Signature oft HOD

nnvt First Grade College




(ANNEXURE-L2) Criterion 01

(Metric -1.1.1) Frograme; BSc

Course/Paper Name: Papcr-V: Phy-T (Course 501) (STATISTICAL PHYSICS, QUANTUM

MECHANICS-1, ATMOSPHERIC PHYSICS AND NANOMATERIALS) Semester V SEM Class: IILB.Sc

Name of the Faculty:M.KRISHNAMURTHY R.SOUNDAR


SI.

No.


Hours

Methodology

/pedagogy-

2017-2018 Initial

Unit 1 STATISTICAL PHYSICS (151 OURS)

1 Basic concepts of state of the system 2 Black board

July 2nd week RS

2 Maxwell- Boltzmann Statistics

3

Black board July2nd week RS

3 Bose-Einstein Statistics

5

Black board July3fd week RS

4 Ferrai-Dirac Statistics 5 Black board July4fll week RS

Total hours:

15

Unit 2 :QUANTUM MECHANICS-1 (15HOURS)

1 Introduction to Quantum Mechanics

Classical physics 5

Black board Aug 1st, week RS

2 De-Broglie's hypothesis of matter

waves

10 Black board Sep2nd - 4th,

week

RS

Total hours: 15

Internal Assessment

Test/Quiz/Assignment - 01 3

lA/Test/Assignment Sep- 4th, week RS

Unit 3; ATMOSPHERIC PHYSICS AND NANOMATERIALS (16HOURS)

1

Earth Atmosphere 4 Black board

Oct 1st week SM

2 Atmospheric Motion 6 Black board Oct 2nd „3rd

week

SM

3 Nano Material 6 Black board Oct 4th week SM

Total hours : 16

internal Assessment

Test/Quiz/Assignment- 02 3 lA/Test/Assignmenl 25/10/2017 RS

Date of submission of IA Marks :05/ll/2017

Signature of Faculty Signature of HOD AL R

Govt. Rrst Grade College K. G. F.-563 122

Government of Karnataka

Department of Collegiate Education Government First Grade College, KGF

LESSON PLAN FOR THE ACADEMIC YEAR 2017-18 (ANNEXURE-1.2)

Criterion 01 (Metric -1.1.1)

Programc: BSc Course/Paper Name; Paper-V: Phy-(Course 502) PHYSICS-P 502, PRACTICAL PHYSICS-V (A)

Semester V SEM Class: lEB.Sc Name of the Faculty:M.KRISHNAMURTHY

R.SOUNDAR

S.MALLIGA B.SWATHA Total Hours:33

SI.

No.


Hours

Methodology

/pedagogy

Date Initial

1 PHYSICS-P 502, PRACTICAL PHYSICS-V(A)

2 Monte Carlo Experiments and error

analysis


3 Dice experiments-to study statistical

nature of result


4 Characteristics of a photo cell-

determination of stopping potential


5 Determination of plank's constant 3 PHYSICS LAB 28/07/2017 RS

6 Regulated power supply- (Zener diode) 3 PHYSICS LAB 10/08/2017 SM

7 Determination of transistor h-

parameters


8 Frequency response of a CE amplifier 3 PHYSICS LAB 24/08/2017 SM

9 Transistor as a switch and active

device


10 Emitter follower 3 PHYSICS LAB 21/09/2017 BS

11 Application of CRO in the (a) study of

Lissajous fig(b) calculation of rms

velocity (c Calculation of frequency

of AC


Internal Assessment


3 IA/T est/Assignment 19/10/2017 SM

Date of submission ofIA Marks :05/11/2017 M

sum* Signature of Faculty Signature of HOI

Govt. First Grade College K « F - 503 122




(ANNEXURE-1.2) Criterion 01

(Metric -I.I.I) Programe: BSc Course/Paper Name; Paper-V: Phy-T503 Astrophysics, Solid State Physics and Semiconductor

physics Semester V SEM Class: III.B.Sc Name of the FacultyrM.KRISHNAMURTHY

R.SOUNDAR S.MALLIGA

B.SVVATHA Total Hours: 51 SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Enitia 1

Unit 1: Astrophysics (15HOURS)

1 Parallax and distance,

Luminosity of stars 3 Black board

July 2nd week SM

2 Stellar classification Gravitational potential energy 2

Black board July 2nd week SM

3 Surface or effective temperature and colour of a star 5

Black board July 3rd week SM

4 Evolution of Stars

5

Black board July 4lh week SM

Total hours:

15

Unit 2 : Solid State Physics (15HOURS)

1 Crystal System and x-ray

2

Black board Aug 181 week SM

9 Continuous and Characteristic x-ray

Spectra 4

Black board Aug2,3rd week

SM

3 Free Electron theory of Metals

5

Black board Aug 4th ,sep

Is1 week

SM

4 Hall Effect

1

Black board Sep 2nd week SM

5

Superconductivity

3

Black board Sep 3,4111 week SM

Total hours;]5

Internal Assessment


IA/T est/Assignment 25/09/2017 BS

Unit 3: Semiconductor Physics(I5HOURS)

1

Semiconductor Physics 4 Black board

Oct 1st week RS

2 P-N Junction Diode 2 Black board Oct 2ni week RS

3 Special Diode 4 Black board Oct3ld week

RS

4 Transistors 5 Black board Oct 4Ul week RS

Total hours ; 15

Internal Assessment


1A/T est/Assignment 22/10/2017 BS

Date of submission of TA Marks :05/l 1 /2017

Signature of Faculty

fV\

Signature of HOD

Govt Grads College

K. G. F.-563 122

Government of Kamatalui Department of Collegiate Education



Criterion 01

(Metric -1.1.1) Programe: BSc Course/Paper Name: Paper-VI; Phy-(course504) PHYSICS-P 504, PRACTICAL PHYSICS-V (B) Semester V SEM

Class: IHB.Sc Name of the Faculty: M.KRISHNAMURTHY'

R.SOUNDAR S.MALLIGA

B.SWATHA Total Hours:33

SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

PHYSICS-P 504, PRACTICAL PHYSICS-VB)

1 Parallax Method-Distance object using

Trigonometric parallax


2 HR-Diagram 3 PHYSICS LAB 04/08/2017 SM

3 Analysis of stellar Spectra 3 PHYSICS LAB 10/08/2017 BS

4 Analysis of Sun sport Photographs and

solar rotation period


5 Mass luminosity curve-Estimation of

mass of a star)


6 Mass of binary stars 3 PHYSICS LAB 02/09/2017 BS

7 Semiconductor temperature sensor 3 PHYSICS LAB 0909/2017 RS

8 Temperature coefficient of resistance

and energy gap of thermistor

3 PHYSICS LAB 16/09/2017 "RS

9 LED Characteristics and spectral

response


10 Analysis of X-ray diffraction pattern 3 PHYSICS LAB 30/09/2017

MK

11 Determination of Fenni energy of a

metal

PHYSICS LAB 03/10/2017 SM

Internal Assessment


3 IA/T est/Assignment 10/10/2017 BS

Date of submission of IA Marks :05/l 1/2017 '"V

AL CI Signature of racuitv Signature oTHOD

Govt. First Grade Collegi

K. G. F. - 563 122




Criterion 01 (Metric-1.1.1)

Prograrae; BSc Course/Paper Name: Paper-: Phyll- T 201 Mechanics-2 Heat and Tliermodynamics-2 Semester IISEM

Class: I.B.Sc Name of the Faculty: M.KRISHNAMURTHY

R. SOUND A R


SI.

No.


Hours

Methodology

/pedagogy-

2017-2018 Initial

Unit 1: Mechanics-2(13HOURS)

1 Oscillation 6 Black board

Jan 3rd week BS

2 Elasticity 7

Black board Jan,4'h week

Feb I st week BS

Total hours: 13

Unit 2 : Heat and Thermodvnamics-2 13HOURS) 1 Thermodynamics potentials

4 Black board Feb 2nd week RS

2 Phase transition of the first order 3 Black board Feb S"1 week BS

3 Low temperature physics 4 Black board Feb 4^ week MK

4 Liquefaction of gases 2 Feb 4U:1 week BS

Total hours: 13


lA/Test/Assignmenl 26/2/2018 SM

Unit 3; Heat and Therinodynaraics-2 13HOURS)

1 Frames of reference 5 Black board

March!81 week RS

2 Special Theory of Relativity 8 Black board Mar2nd ,3rd

week RS

Total hours;13

Unit 4: Heat and Thermodynaniics-2 (13HOURS)

1 Moment of Inertia

9 Black board

Marc4til week

April 1st week

SM

2 Waves 4 Black board April 2nd

week

SM

Total hours ; Total hours:!3

Internal Assessment


lA/Test/Assignment May 1st week BS

Dale of submission ofIA Marks ;10/05/2018

Signature of Faculty Signature of HOD

L IN

Govt CollegQ

K. G. F. - 563 122

Government of Karnatakn Department of Collegiate Education




(Metric -1.1.1) Programe: BSc Course/Paper Name: Paper-2: Phy-202 PHYSICS-P 202, PRACTICAL PHYSICS-II Semester II SEM

Class: I.B.Sc Name of the Faculty:M.KRISHNAMURTHA'

R.SOUNDAR


SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

PHVS1CS-P 102, PRACTICAL PHYSICS-II

1 Bar pendulum-determination of- g 3 PHYSICS LAB 27/01/2018 BS 2 Spring mass Static case to determine

'k' 3 PHYSICS LAB 04/02/2018 ss

3 Couple oscillator-string coupled with change of tension


4 Verification of parallel and perpendicular axis theorem


5 Searle's double bar 3 PHYSICS LAB 25/02/2018 BS 6 Q by single Cantilever 3 PHYSICS LAB 04/03/2018 SM 7 q by uniform beading 3 PHYSICS LAB 11/03/2018 8 Fly wheel 3 PHYSICS LAB 18/03/2018 SM 9 N bv dvnamic method 3 PHYSICS LAB 25/03/2018 MK 10 q by stretching 3 PHYSICS LAB 02/04/2018 MK

Internal Assessment

Tcst/Quiz/Assigoment - 02 3 LA/Test/Assigmnent 15/04/2018 BS

Date of submission of IA Marks :10/05/2018

Signature of Faculty Signaturepf HOD

Govt. Firs

Au

rade College

K, <?. F. - 563 122





Programe: BSc Course/Paper Name: Paper-: Phy- T401- OPTICS AND FOURIER SERIES

Semester 1VSEM

Class: II.B.Sc Name of the Faculty:M.KRISHNAMLFRTHY

R.SOUND AR


SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

Unit 1: OPTICS (13HOURS)

1 Wave optics 3 Black board

Jan 3rd week RS

2 Interference 1

Black board Jan 3rd week RS

3 Coherent source by division of wave front 5

Black board Jan4la week RS

4 Coherent source by division of amplitude

4 Black board Jan 4lh ■ week RS

Total hours: 13

Unit 2 ; OPTICS (13HOURS)

1 Diffraction-Fresnel diffraction 7

Black board Feblst, 2ndweek

SM

2 Fraunhoffer diffraction 6 Black board Feb S^week SM

Total hours: 13


iA/Test/Asst 22/02/2018 RS

Unit 3: OPTICS (13HOURS)

1 Polarization 6 Black board

Marcl51

Marc2nciweek BS

2 Lasers 7 Black board Marc3rd week

BS

Total hoiirs:13

Unit 4; FOURIER SERIES (13HOURS)

1 Fourier series

9 Black board Marc4th week

April 1st week

MK

2 Optical Fibers 4 Black board April 2nd

week

MK

Total hours ; Total hours:13

Internal Assessment


T A/Test/Assi gnment 28/04/2018 MK

Date of submission of IA Marks ;10/05/2018

Signature of Faculty Signature\of HOD L R

F Go

(-

TGrade College

F. - 563 122





Programe: BSc Course/Paper Name: Paper-4: Phy-402 PHYSICS-P 402, PRACTICAL PHYSICS-IV

Semester IV SEM

Class: II.B.Sc Name of the Faculty:M.KRISHNAMURTHY

R. SOUND AR S.MALLIGA

B.SWATHA Total Hours:27

SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

PHYSICS-P 402, PRACTICAL PHYSICS-IV

1 Refractive index of a liquid by parallax 3 PHYSICS LAB 27/01/2018 BS 2 Focal length of combination of lenses

separated by a distance 3 PHYSICS LAB 04/02/2018 BS

3 Air wedge 3 PHYSICS LAB 11/02/2018 SM 4 Newton's rings 3 PHYSICS LAB 18/02/2018 SM 5 Diffraction grating in normal incidence 3 PHYSICS LAB 25/02/2018 MK 6 Diffraction grating in minimum

deviation 3 PHYSICS LAB 04/03/2018 MK

7 Diffraction of Laser t a metal scale 3 PHYSICS LAB 11/03/2018 RS 8 Diffraction of Laser at a wire 3 PHYSICS LAB 18/03/2018 RS 9 Internal Assessment

Tcst/Quiz/Assignment- 02 3 lA/Test/Assigmneut 25/03/2018 BS

Date of submission of IA Marks : 10/05/2018

Signature of Faculty Signatured of HOD Wl]

Govt. Grade College

K. G. F. -563 122





(Metric -1.1.1) Programe; BSc Course/Paper Name: Paper-VII: Phy-T 601 ATOMIC, MOLECULAR AND NUCLEAR PHYSICS

Semester VI SEM Course 601

Class: HLB.Sc Name of the Faculty; M.KRISHNAMURTHY

R.SOUND AR S.MALLIGA B.SWATHA Total Hours: 51

SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

Unit 1; ATOMIC,MOLECULAR PHYSICS(15HOURS)

1 Vector Model of Atom

10 Black board

Jan 4lh Feb 1st

2nd week

SM

2 Molecular Physics

5

Black board Feb 3rd week SM

"3 Total hours:

15

Unit 2 : RADIOACTIVE DECAY DETECTOR AND ACCELERATORS (15HOURS)

1 Alpha practical scattering

2

Black board March 151 week RS

2 Radioactive Decay

3

Black board Marchl31 week RS

3 Alpha decay

3

Black board Marc 2nd week RS

4 Beta decay

2

Black board Marc3rd week RS

5

Detectors

3

Black board

Marc4th week

RS

6 Particle accelerators 2 Black board April Is1 week RS

Total hours: 15

Internal Assessment


3 lA/Test/Assignment 15/04/2018 SM

UNIT-III NUCLEAR REACTOR

AND PARTICAL PHYSICS 15

HOURS

1 Nuclear Reactor 8 Black board April2nd ,3rd

week SM

2 Elementary Particles 7 Black board April 4ai

week

SM

Total hours : 15

Internal Assessment


lA/Test/Assignment 28/04/2018 SM

Date of submission of IA Marks :10/05/20i8

Signature of Faculty Signature o^HOD AL IN

Govt. FksrGrade College

K. G. F. - 663 122

Government of Knrnataka Department of Collegiate Education


LESSON PLAN FOR THE ACADEMIC YEAR 2017-18 (AJNNEXURE-L2)


Programe: BSc Course/Paper Name: Paper-VII: Phy-(course 602) PHVSICS-P 602, PRACTICAL PHYSICS-VI (A)

Semester VI SEM

Class: III.B.Sc Name of the Faculty:M.KRISHNAMURTHY

R.SOUNDAR


SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

PHYSICS-P602, PRACTICAL PHYS CS-VI(B)

1 Somerfield fine structure constant

determination 3 PHYSICS LAB 28/01/2018 RS

2 Determination of e/m by Thomson's

method


3 Characteristics of GM counter 3 PHYSICS LAB 13/02/2018 SM

4 Analysis of band spectrum of PN

molecule


5 Analysis of rotational spectrum of

HBR


6 To verify and design AND,OR,using

NAND gates, OR gates


7 Digital Half adder using logic gates 3 PHYSICS LAB 12/03/2018 BS

8 Digital Full adder using logic gates 3 PHYSICS LAB 19/03/2018 BS

9 Half Subtract or using logic gates ICs 3 PHYSICS LAB 26/03/2018 RS

10 Full Subtract or using logic gates ICs 3 PHYSICS LAB 04/04/2018 RS

Internal Assessment

Test/Quiz/Assignraeot - 02

3 lA/Test/Assignment 25/04/2018 RS

Date of submission of IA Marks ;10/05/2018

Signature of Faculty Signaturaof HOD PHwrj

Govt. FirsfGrade College

K. G. F. - 563 122



LESSON PLAN FOR THE ACADEMIC YEAR 2017-18 (ANNEXljRE-L2)

Criterion 01

(Metric -Ll.I) Programe: BSc Course/Paper Name: Paper-VTII: Phy-T 603 ELECTRONICS, MAGNETIC MATERIAL AND

QUANTUM MECHANICS-!! Semester VI SEM

Class: IHB.Sc Name of the Faculty :M.KRISHNAMURTHY

R.SOUNDAR


SI.

No.


Hours

Methodology

/pedagogy

2017-2018 initial

Unit 1: OPAMPS (15HOURS)

1 Operational amplifiers 2 Black board

Jan 3 rd week RS

2 Feedback Concept

2

Black board Jan 4th week RS

3 Linear Application

2

Black board Feb 13 week RS

4 Op amp Oscillators

2

Black board Feb2I,d week RS

5 Digital Electronics. Number System

2

Black board Feb 3rd week RS

6 Logic gates and truth tables 1 Black board Feb 3rd week RS

7 Boolean laws and theorems 2 Black board Feb 4th week RS

8 Combination Logic 2 Black board Feb 4lh week RS

Total hours:

15

Unit 2 : Magnetic properties of matter and Dielectrics (15HOURS)

1 Magnetic properties of matter

3

Black board March Iweek SM

2 Classical Langevin Theory

5

Black board March2nd

week SM

3 Dielectrics

7

Black board March3rd

week

SM

Total hours;!5

Internal Assessment


IA/T est/Assignment March 4^

week

BS

Unit 3:QUAJNTUM MECHANICS-II (15HOURS)

1

Concept of wave function 1 Black board

Aprill5' week RS

2 Development of time dependent and

independent equation

1 Black board April l51 week RS

3 Quantum mechanical operators 1 Black board April lsl week RS

4 Application of Schrodmger equation 2 Black board April 2nd week RS

5 Particle in one dimensional box 1 Black board April 2nd week RS

6 ^Derivation of Eigen function and Eigen

values 1

Black board April 2ri,i week RS

7 Development of Schrodmger equation

for one dimensional Linear harmonic

oscillator

2

Black board April 3rd week RS

8 Rigid rotator 2 Black board Maylst week RS

9 Hydrogen atom 2 Black board Maylst week RS

10 Mention of Eigen function and Eigen

value for ground state.

2 Black board Maylst week RS

Total hours ; 15

Internal Assessment


3 IA/T est/Assignment May 1a week BS


Signature of Faculty Signature of HO

Govt. FirsMSrade College

K. G. F. -563 122

Government of Karnalaka Department of Collegiate Education




(Metric -1.1.1) Programe: BSc Course/Paper Name: Paper-VIII: Phy-(course604) - PHYSICS PRATICALS VI (B) Semester VI SEM

Class: IH.B.Sc Name of the Faculty :M.KRISHNAMURTHY

R.SOUNDAR S.MALLIGA B.SWATHA Total Hours: 27

SI.

No.


Hours

Methodology

/pedagogy

2017-2018 Initial

PHYSICS-P 604, PRACTICAL PHYSICS-VT (B)

1 Low pass filter op-am 3 PHYSICS LAB 28/01/2018 RS

2 High pass filter op-ara 3 PHYSICS LAB 05/02/2018 RS

3 OP-amp inverting amplifier ac and dc 3 PHYSICS LAB 12/02/2018 SM

4 OP-amp non -inverting amplifier ac

and dc


5 OP-amp Summing amplifier ac and dc 3 PHYSICS LAB 26/02/2018 MK

6 Determination of dielectric 3 PHYSICS LAB 04/03/2018 MK

7 Verification of inverse square law

using GM counter


8 Determination of mass absorption

coefficient of gamma rays


9 Internal Assessment


3 IA/T est/Assignmen t 26/03/2018 BS


Signature of Faculty Signature of HOD AT

Govt. FirsTGrade College

K. G. F. - 563 122

GOVERNMENT FIRST GRADE COLLEGE, KGF

COURSE PLAN SPECIFICATION: ACADEMIC YEAR 2017-2018

DEPARTMENT OF MATHEMATICS

Subject:

1. Course title and code : MATHEMATICS -1 (paper-I)

2. Credit hours ; 56

3. Level / Year: 1 Sem

Faculty InchargerRadhika.M, AmmthaJUC

Aim and Objectives: This course introduces basic concept of Algebra, differential calculus and Integral Calculus

The objectives of this course include the following:

Explain the elementary row and column operation

• Homogeneous and Non - Homogeneous systems of ra linear equations • Successive Differentiation - nth derivatives of the functions: eax , (ax + b)n, etc.... • Partial differentiation -Function of two and three variables

Reduction formulae for sin x dx , cos x dx , tan x dx , cot x dx Course Description:

UNIT-I [14 hours]

Matrices Elementary row and column transformations(operations), equivalent matrices, theorems on it. Row- reduced echelon form. Normal form of a matrix , Rank of a matrix. Problems. Homogeneous and Non — Homogeneous systems of m linear equations in n unknowns consistency criterion -

criterion for uniqueness of solutions. Solution of the same by elimination method. Eigenvalues and Eigenvectors of a square matrix of order 2 and 3,standard properties, Cayley-Hamilton theorem (with proof).

Topics No. of Hours

Introduction -Matrices Elementary row and column transformations(operations) 02

Equivalent matrices, theorems on it. Row- reduced echelon form, Normal form of a matrix, 02

Rank of a matrix. Problems. 02

Homogeneous and Non — Homogeneous systems of m linear equations in n unknowns consistency criterion 02

Criterion for uniqueness of solutions. Solution of the same by elimination method. 02

Eigenvalues and Eigenvectors of a square ma, Cayley-Hamilton theorem (with proof). 02

Application of Cayley Hamilton theorem 02

'N -

*■ G-

UNIT-II (28 hrs)

a) Successive Differentiation - nth derivatives of the functions: eax , (ax + b)n, log(ax + b), sin(ax + b),

cos(ax + b), eaxsin(bx+ c), eaxcos(bx + c) - Problems Leibnitz theorem {with proof) and its applications. Partial differentiation —Function of two and three variables - First and higher derivatives - Homogeneous functions - derivatives- Euler's theorem and its extension (with proof) - Total derivative and differential - Differentiation of implicit functions and composite functions - Problems -

Jacobians — Properties of Jacobians problems.

b) Reduction formulae for nnnn sin x dx , cos x dx , tan x dx , cot x dx , JJII n n m n sec x dx , cosec x dx , sin x cos x dx , J1 j with definite limit. Differentiation under integral sign by Leibnitz rule.

Topics No. of Hours

a) Introduction-Successive Differentiation - nth derivatives of the functions: eax , (ax + b)n. 02

]og(ax + b), sin(ax + b) , cos(ax + b), eaxsin(bx+ c), eaxcos(bx + c) - Problems 02

Leibnitz theorem (with proof) and its applications 02

Partial differentiation -Function of two and three variables - 02

First and higher derivatives - Homogeneous functions — 02

derivatives- Euler's theorein and its extension (with proof) 02

Total derivative and differential - Ditferentiation of implicit functions 02

composite functions - Problems - Jacobians - P 02

Introduction and Re Capsulation of integration and standard formula 02

Reduction formulae for sin x dx , cos x dx , 02

tan x dx , cot x dx and problems on standard forms 02

sec x dx , cosec x dx, sin x cos x dx 02

Integration with definite limit. Differentiation under integral sign by Leibnitz rule. 02

Overall problems 02

UNIT-III [14 hours)

Analytical Geometry Of Three Dimensions

Recapitulation of elements of three dimensional geometry - Different forms of equations of straight line and plane. Angle between two planes - Line of intersection of two planes - Plane coaxal with

given planes - Planes bisecting the angle between two planes - Angle between a line and a plane -

Coplanarity of two lines - Shortest distance between two lines. Equation of the sphere in general and standard forms - equation of a sphere with given ends of a diaineter.Tangent plane to a sphere,

orthogonallity of spheres. Standard equations of right circular cone and right circular cylinder.

Topics No. of Hours

Recapitulation of elements of three dimensional geometry 02

Different forms of equations of straight line and plane. Angle between two planes - 03

Line of intersection of two planes - Plane coaxal with given planes 02

Planes bisecting the angle between two planes - Angle between a line and a plane - Coplanarity of two lines 02

diameter.Tangent plane to a sphere, orthogonallity of spheres. 03

Standard equations of right circular cone and right circular cylinder. 02

Learning Resources:

1. B S Vatssa, Theory of Matrices, New Delhi; New Age International Publishers, 2005. 2. ARVashista, Matrices, Krishna PrakashanaMandir, 2003.

3. G B Thomasand R L Finney, Calculus and analytical geometry,Addison Wesley, 1995. 4. J Edwards, An elementary treatise on the differential calculus: with applications and numerous

example. Reprint. Charleston, USA:BiblioBazaar, 2010. 5. NP Bali, Differential Calculus, India: Laxmi Publications (P) Ltd.,, 2010. 6. S Narayanan & T. K. ManicavachogamPillay, Calculus.; S. Viswanafhan Pvt. Ltd., vol. [ & 111996.

7. Frank Ayres and Elliott Mendelson, Schaum's Outline of Calculus, 5th ed USA: Mc. Graw Hill.,

2008. 8. S.P.Mahajan& Ajay Aggarwal, Comprehensive Solid Geometry , 1st ed.: Anmol Publications ,

2000.

List of Assignments :Bangaiore University prescribed assignment questions given.

Web links:

1. http://wvAv.cs.columbia.edu/~zeph/3203s04/lectures.htinl 2. http://home.scarlet.be/math/matr.htm

3. hltp://www.themathpage.com/ 4. htto://www.abstractmath. ore/

5. http://ocw.mit.edu/courses/mathematics/

6. http://planetmath.org/encycIopedia/TopicsOnCalculus.html 7. http://ocw.mit.edu/OcwWeb/Mathematics/l 8-01Fall-

2005/CourseHome/index.htm 8. http://mathworid.wolfram.com/CaIcuIus.html 9. http://ocw.mit.edu/courses/mathematics/


COURSE PLAN SPECIFICATION:ACADEMIC YEAR 2017-2018


Subject:

1. Course title and code : MATHEMATICS - If (paper -2)

2. Credit hours : 56

3. Level / Year : II Sent

Faculty InchargerRadhika.M, Amrutha.R.K

Aim and Objectives:

This course introduces basic concept of Algebra, differential calculus ,Integral Calculus and

Differential equation


• Explain the binary operation and algebraic structure/Semi group and group,abeIian group

• Problems on finite and infinite groups and Subgroups

Course Description:

1. ALGEBRA - II Group Theory

Binary operation, algebraic structure-problenis on finding identity and inverse.

Definitions of semigroup and group, abelian group - problems on finite and infinite groups. Properties of group with proof — standard problems on groups — A finite

semigroup with both the cancellation laws is a group - Any group of order less than five is abelian - permutation groups.

Subgroups- theorems on subgroups (with proof)- problems.

(14 lecture hours)

Topic covered No. of Lecture Hours

Binary operation, algebraic structure-problems on

finding identity and inverse

02

Definitions of semigroup and group, abelian group

- problems on finite and infinite groups.

02

Properties of group with proof 02

standard problems on groups 02

A finite semigroup with both the cancellation laws

is a group .Any group of order less than five is

abelian

02

Permutation groups 02

Subgroups- theorems on subgroups (with proof)-

problems

02

Total hours: 14

14 hours

UNIT-II

a) Differential Calculus Polar coordinates - Angle between the radius vector and the tangent - Angle of

intersection of curves (polar form) polar sub-tangent and polar subnormal-

perpendicular from pole on the tangent - Pedal equations. Derivative of an arc in

Cartesian, parametric and polar forms.

Curvature of plane curves - formula for radius of curvature in Cartesian, parametric,

polar and pedal forms - centre of curvature - evolutes. Singular points — Asymptotes -

Envelopes. General rules for tracing of curves..

b) Integral Calculus

Applications ol Integral Calculus: computation of length of arc, plane area and surface area and volume of solids of revolutions for standard curves in Cartesian and Polar

forms.

(28 lecture hours)

Unit 2 :CALCULUS — llfDifferential Calculus and Integral Calculusl a) Differential Calculus

Polar coordinates - Angle between the radius

vector and the tangent 02

Angle of intersection of curves (polar form) 02

polar sub-tangent and polar subnormal- perpendicular from pole on the tangent

02

Pedal equations 02

Derivative of an arc in Cartesian, parametric and

polar forms

02

Curvature of plane curves - formula for radius of curvature in Cartesian, parametric, polar and pedal

forms

02

Centre of curvature - evolutes 02 Singular points, Asvmptotes 03

Envelopes 02

General rules for tracing of curves 01

b) Infegral Calculus

Applications of Integral Calculus for computation of length of arcof standard curves in Cartesian and

Polar forms.

02

Applications of Integral Calculus for computation of plane areaof standard curves in Cartesian and

Polar forms.

02

Applications of Integral Calculus for computation of surface areaof standard curves in Cartesian and

Polar forms.

02

Applications of Integral Calculus for computation of volume of solids of revolutions of standard

curves in Cartesian and Polar forms.

02

Total hours: 28

UMT-11I

4.DIFFERENTIAL EQUATIONS - I

Solutions of ordinary differential equations of first order and first degree: (i) Linear equations, Bernoulli equation and those reducible to these.

(ii)Exact equations(excluding reducible to Exact)

Equations of first order and higher degree — non linear first order, higher degree -

(Mention) solvable for p - solvable for y - solvable for x - Clairaut's equation -singular

solution - Geometric meaning.Orthogonal trajectories in Cartesian and polar forms. (14 lecture hours) [28 hours]

Unit 3: difperential equations -1

Solutions of ordinary differential equations of first order and first degree:

(i) Linear equations ,Bernoulli equation and those reducible to these.

03

(ii)Exact equations

(excluding reducible to Exact) 02

Equations of first order and higher degree — non linear

first order, higher degree -(Mention) solvable for p -

solvable for y - solvable for x

03

Clairaut's equation 02 Singular solution - Geometric meaning 01 Orthogonal trajectories in Cartesian and polar fonm. 03 Total hours: 14

14 hrs

Resou rces:

LBS Vatssa, Theory of Matrices, New Delhi: New Age International Publishers, 2005.

2. A R Vashista, Matrices, Krishna PrakashanaMandir, 2003.

3. G B Thomasand R L Finney, Calculus and analytical geometry,Addison Wesley, 1995.

4. J Edwards, An elementary treatise on the differential calculus: with applications and

numerous example, Reprint. Charleston, USA: BiblioBazaar, 2010.

5. N P Bali, Differential Calculus, India: Laxmi Publications (P) Ltd.., 2010.

6. S Narayanan & T. K. ManicavachogamPillay, Calculus.: S. Viswanathan Pvt. Ltd., vol. I

& 111996.

7. Frank Ayres and Elliott Mendelson, Schaum's Outline of Calculus, 5th ed.USA: Mc. Graw

Hill., 2008,

8. S.P.Mahajan& Ajay Aggarwal, Comprehensive Solid Geometry , 1st ed.: Anmol

Publications, 2000.

List of Assignments :Bangalore University prescribed assignment questions given.

Weblinks:

http://www.theraathpage.com/ 2. http://www.abstractmath.org/


4. http://planetmath.org/encyc3opedia/TopicsOnCaIculus.hlml

5. http://ocw.mit.edu/OcwWeb/Mathematics/18-OlFan-

2005/CourseHome/index,htm

6. http://mathworld.wolfram.com/Calculus.html 7. http;//ocw.mit.edu/courses/mathematics/ 8. http://www.univie.ac.at/future.media/moe/galerie.htmI

9. http://tutorial.math.lamar.edu/classes/de/de.aspx

10. http://www.sosmath.com/diffeq/diffeq.html

11. http://www.analy2emath.com/calculus/Differential_Equations/applications.

GOVERNMENT FIRST GRADE COLLEGE, KGF COURSE PLAN SPECIFICATION:ACADEMIC YEAR 2017-2018


Subject:

1. Course title and code : MATHEMATICS - III (paper -3)


3. Level / Year: III Sem

Faculty lncharge:Radhika.M,Shahda Anjum Aim and Objectives:

This course introduces basic concepts of Algebra , Sequence of real numbers, Series of real numbers, Differential Calculus

The Objectives of this course include the following:

Explain order of an element, Coset decomposition and cyclic groups

Limit of a sequence ^monotonic sequence and to explain standard sequence

Infinite series-Tests for convergence of series

Continuity and Differentiability of a function -Mean value theorem

Course Description;

Unit-1

GROUPS [14 hours]

Order of an element of a group — properties related to order of an element- subgroup generated by an element of a group -coset decomposition of a group, Cyclic groups- properties- modulo relation- index of a group -Lagrange's theorem- consequences.

Topics No of hours Introduction 01 Definition and standard properties of groups and subgroups 01 Integral powers of an element ot group 01 Order of an element of a group 01 properties related to order of an element 02 coset decomposition of a group 02 Cyclic groups- properties 02 Order of a subgroup of group 01 Lagrange's theorem 02 consequences-Lagrange's theorem 01

14 hours

UNIT-11

a) Sequences Of Reai Numbers [ 12 hours] Definition of a sequences-Bounded sequences- limit of a sequences- convergent, divergent and

QSciHatory sequences- Monotonic sequences and their properties- Cauchy's criterion.

Topics No of Hours Introduction to sequence of real numbers 01 Definition of sequence-bounded sequences 03 Limit of a sequences 02 Convergence Divergent and Oscillatory sequences 03

Monotonic Sequence and their properties cauchy's criterion 03

12 hours

b) Series Of Real Numbers [ 18 hours]

Definition of convergence, divergence and oscillation of series -properties of Convergence series - properties of series of positive terms— Geometric series Tests for convergence of series -p-series -

comparison of series Cauchy's root Test -D Alembert's test. Raabe'stest,-Absolute and conditional convergence-D' Alembert test for absolute convergence - Alternating series - Leibnitz test. Summation of binomial, exponential and logarithmic series.

Topics No of hours

Introduction to series of Real numbers 01

Terms related to series of real numbers 01

Properties of convergent series 01

Test P-series 02

Comparison of series 02 Cauchy's root test 01 D'Alemberts test. Raabe's test 02 Absolute and conditional convergence 01 Alternating series 01 Leibnitz test 01 Summation of Binominal series 02 Exponential series 02 Logarithmic Series 02

18 hours

3. CALCULUS - HI [14 hours]

Differential Calculus

Recapitulation of Equivalence Class and partition of a set. Definilion of the limit of a function in e-5 form -continuity- types of discontinuities. Properties of continuous function on a closed interval

(boundedness, attainment of bounds and taking every value between bounds). Differentiability - Differentiability implies Continuity - Converse not true. Rolle's Theorem- Lagrange's and

Cauchy's First Mean Value Theorem (Lagrange's form ) - Maclaurin's expansion. Evaluation of limits by L' Hospital's rule

Topics No of hours Recapitulation of Equivalence Class and partition of a set. 02 Definition of the limit of a function 01 continuity- types of discontinuities 02 Properties of continuous function on a closed interval 02 Mean value theorems 02 Taylor's theorem , Lagrange's and Cauchy's, Maciaurin'sexpansion 03 Evaluation of limits by L' Hospital's rule 03

Learning Resources:

1. Michael Artin, Algebra, 2nd ed. New Delhi, India: PHI Learning Pv Ltd., 2011.

2. Vashista, A First Course in Modem Algebra, 11th ed.: Krishna PrakasanMandir, 1980.

3. John B Fraleigh, A First course in Abstract Algebra, 3rd ed.; Narosa Publishing House., 1990.

4. R Balakrishan and N.Ramabadran, A Textbook of Modem Algebra, 1st ed. New Delhi, India;

Vikas publishing house pvt.Ltd„ 1991.

5. Richard R Goldberg, Methods of Real Analysis, Indian ed. New Delhi, India: Oxford and 1BH

Publishing Co., 1970.

6. G B Thomasand R L Finney, Calculus and analytical geometry, Addison Wesley, 1995.

7. J Edwards, An elementary treatise on the differential calculus: with applications and numerous

example, Reprint. Charleston, USA :Bib]ioBazaar, 2010.

8. N P Bali, Differential Calculus, New ed. New Delhi, India: Laxmi Publications (P) Ltd.., 2010

. 9. S Narayanan & T. K. ManicavachogamPillay, Calculus.: S. Viswanathan Pvt. Ltd., vol. I & II1996.

10. Frank Ayres and Elliott Mendelson, Schaum's Outline of Calcuius, 5th ed, USA: Mc. Graw Hill., 2008. 11. E Spiegel, Schaum's Outline of AdvancedCalculus, 5th ed. USA: Mc. Graw Hill.,2009


PPT on Groups

Web links:

http://www.themathpage.coin/ 2. http ://www. abstractmath.org/

3. http://ocw.mit.edu/courses/mathematics/ 4. http ://www, math, unl.edu/~webnotes/contents/chapters.htm

5. http;//www-groups.mcs.st-andrews.ac.uk/~john/analysis/index.html

6. http://web01 .shu.edu/projects/reaIs/index.htmI

7. http ://www.mathcs. org/analysis/reals/index, html

8. http://pIanetmath.org/encyclopediayTopicsOnCalculus.html

9. http://ocw.mit.edu/OcwWeb/Mathematics/18-0IFaIl-2005/CourseHome/mdex.htm 10. http;//mathworld.woIfram.com/CaIcuIus.htm]





Subject:

1. Course title and code : MATHEMATICS - IV (paper -4)


3. Level / Year : IV Sem

Faculty Incharge:Radhika.M,Shahda Anjum

Aim and Objectives:

This course introduces basic concepts of Algebra, Fourier Series, Differential Calculus differential Equations,Mathematical methods

The Objectives of this course include following:

• Explain Normal Subgroups -Homomorphism and Isomorphism of groups

• Fourier series and it's functions

• Continuity and differentiability of a function of two and three variables

• Laplace transforms - derivatives and inverse Laplace transforms

• Complementary function- particular integrals and solutions of ODE with different methods

Course Description:

UNIT-I

Groups [15 hours]

Normal subgroups-examples and problems -Quotient group-Homomorphism and Isomorphism of groups-Kernel and image of a homomorphism-Normality of the KemelFundamental theorem of

homomorphism- properties related to isomorphism-Permutation group-Cay ley's theorem.

Topics No of hours Introduction of group theory 01 Normal subgroups-examples and problems 02 Quotient group 01 Homomorphism and Isomorphism of groups 02 Kernel and image of a homomorphism 02 Normality of the Kernel 01 Fundamental theorem of homomorphism 02

properties related to isomorphism 02 Permutation group-Cavley's theorem 02

15 hours

Unit -II

Fourier Series [10 hours]

Trigonometric Fourier series of functions with period In and period 2L - Half range Cosine and sine series.

Topics No of hours Introduction of Fourier transformers 01 Trigonometric Fourier series of functions with period 27i and period 2L

05

Half range Cosine and sine series. 04

Unit- 111

10 hours

Differentia! Calculus [9 hours]

Continuity and differentiability of a function of two and three variables - Taylor's Theorem and

expansion of functions of two variables- Maxima and Minima of functions Of two variables. Method of Lagrange multipliers.

Topics No of hours Continuity and differentiability of a function of two and three variables

02

Taylor's Theorem and expansion of functions of two variables

03

Maxima and Minima of functions Of two variables.

02

Method of Lagrange multipliers 02

9 hours

4. MATHEMATICAL METHODS -I [12 hours]

Definition and basic properties Laplace transform of some common functions and Standard results — Laplace transform of periodic functions- Laplace transforms ,of derivatives And the integral of function- Laplace transforms, Heaviside function convolution theorem (statement only) Inverse Laplace transforms.

T opics No of hours Introduction of laplace transforms 01 Definition and basic properties 02 Laplace transform of some common functions and Standard results

02

Laplace transform of periodic functions 01 Laplace transforms of derivatives And the integralof function

02

Laplace transforms- Heaviside function 01 convolution theorem Inverse Laplace transforms.

01

Laplace transform method of solving ODE of ISk and 2rd orders with constant Co- efficients

02

5. DIFFERENTIAL EQUATIONS -II [14 hours]

Second and higher order ordinaiy linear differential equations with constant Coefficients-

complementary function (two variables) with constant coefficients. Solutions of second order ordinary linear differential equations with variables coefficients by the following methods.

(i). When a part of complementary function is given

(ii). Changing the independent variable

(iii). Changing the dependent variable

(iv). Variation of parameters

(v). Conditions for exactness and the solution when the equation is exact.

Topics No of hours Second and higher order ordinary linear differential equations with constant Coefficients

01

complementary function 01 particular integrals (standard types) 02 Cauchy-Euler differential equation 01 Simultaneous linear differential equations (two variables) with constant coefficients

02

Solutions of second order ordinary linear differential equations with variables coefficients by the following methods.

(i) When a part of complementary function is given

02

Changing the independent variable 01 Changing the dependent variable 01 Variation of parameters 01 Conditions for exactness and the solution when the equation is exact. 02

14 hours

Learning Resources:

Reference Books :I. Michael Arlin, Algebra, 2nd ed. New Delhi, India: PHI Learning Pvt. Ltd

201L

2. Vashisla, A First Course in Modem Algebra, 11th ed.: Krishna PrakasanMandir, 1980.

3. John B Fraleigh, A First course in Abstract Algebra, 3rd ed.: Narosa Publishing House., 1990.

4. R Balakrishan and N.Ramabadran, A Textbook of Modem Algebra, 1st ed. New Delhi, India: Vikas

publishing house pvt.Ltd., 1991.


6. J Edwards, An elementary treatise on the differential calculus: with applications and numerous

example. Reprint. Charleston, USA: BiblioBazaar, 2010.

7. N P Bali, Differential Calculus, Laxrai Publications (P) Ltd.., 2010.

8. S Narayanan & T. K. ManicavachogamPillay, Calculus.: S. Viswanathan Pvt. Ltd., vol. I & II1996.

9. Frank Ayres and Elliott Mendelson, Schaum's Outline of Calculus. 5th ed USA: Mc. Graw Hill.,

2008. 10. E Spiegel, Schaum's Outline of AdvancedCalculus, 5th ed. USA: Mc. Graw Hill., 2009

11. Raisinghania M.D., Laplace and Fourier Transforms. New Delhi, India: S. Chand and Co. Ltd. ,

1995. 12. M D Raisinghania, Advanced Differential Equations, S Chand and Co. Pvt. Ltd., 2013.

13. FAyres, Schaum's outline of theory and problems of Differential Equations, 1st ed. USA:

McGraw-Hill, 2010.

14. S Narayanan and T K ManicavachogamPillay, Differential Equations.; S V Publishers Private Ltd., 1981.

15. G F Simmons, Differentia! equation with Applications and historical notes, 2nd ed.: McGraw-Hill

Publishing Company, Oct 199


Web links:

1 .http://www.themathpage.com/

2. http://www.abstractmath.org/ 3. http://vvww.Fourier-series.coni/ 4. http://mathvvor!d,wolfram,com/ 5. http://www.princeton.edu/--rvdb 6. http://www.zweigmedia.com/RealWorId/Summary4.html 7. http://ocw.mit.edu/courses/mathematics/

8. http://planetniath.org/encycIopediayTopicsOnCaiculus.htmI

9. http://ocw.mit.edu/OcwWeb/Mathematics/18-01 FaU-2005/CourseHome/index.htm

10. http://mathworld,wolfram.com/Calculus.html


12. http://www.univie.ac.at/future.media/moe/gaIerie.htmI

13. http://tutorial.malh.lamar.edu/cIasses/de/de.aspx 14. http://www.sosmath.com/diffeq/difFeq.html

15. http://www.analyzemath.coin/calculus/Differential_Equations/applications.html

GOVERNMENT FIRST GRADE COLLEGE, KGF COURSE PLAN SPECIFICATIONrACADEMIC YEAR 2017-2018


Subject:

1. Course title and code : MATHEMATICS - V (paper -5)

2. Credit hours ; 56

3. Level/Year: V Sem

Faculty Incharge:Radhika.M, Amrutha.R.K

Aim and Objectives:

This course introduces basic concepts of Rings ^differential calculus of scalar and vector fields, numerical methods-I


Explain the concepts of rings Jntegral domains and fields

Explain the concepts of scalar field, vector field and divergence and curl of a vector field

Various numerical methods such as Newton —Gregory forward and backward interpolation

formulae,Quadrature formula

Unit-1

Rings, Integral Domains, Fields ( 14 hours)

Rings, Types of Rings properties of rings - Rings of integers modulo n - Subrings - Ideals ,Principal, Prime and Maximal ideals in 2 commutative ring - examples and standard properties following the

definition - Homomorphism, Isomorphism - Properties - Quotient rings - Integral Domain- Fields - properties following the definition — Fundamental Theorem of Homomorphism of Rings - Every field is an integral domain — Every finite integral domain is a field — Problems.

Topic No of hours Introduction of Rings, Integral domains, fields 01 Rings, Types of Rings properties of rines 01 Subrings 01 Ideals principal. Prime and Maximal ideals 03 Homomorphism, Isomorphism 02 Quotient rings 01 Integral Domain 01

Fields - properties following the definition 02 Fundamental Theorem of Homomorphism ofRin^s 01 Every field is an integral domain 01

14 hours

2. CALCULUS - V (14 hours)

Differential Calculus Of Scalar And Vector Fields Scalar field - gradient of a scalar field, geometrical meaning — directional derivative — Maximum directional derivative - Angle between two surfaces -

vector field — divergence and curl of a vector field — solenoidaland irrotational fields — scalar and vector potentials - Laplacian of a scalar field — vector identities. Standard properties. Harmonic

functions, Problems.

Topics No of hours Introduction to vector differential calculus 01 Scalar field - gradient of a scalar field 01 Maximum directional derivative 01 Angle between two surfaces 01 vector held 01 divergence and curl of a vector field 02 solenoidal and irrotational fields 01 scalar and vector potentials 01 Laplacian of a scalar field 02 vector identities 01 Harmonic functions, Problems. 01

Standard properties 01 14 hours

3. NUMERICAL METHODS -1 (14 hours)

Finite differences - Definition and properties of p and E, the relation between them - The nth

differences of a polynomial, Factorial notations, separation of symbols, divided differences and related theorems. Newton -Oregory forward and backward interpolation formulae - Lagrange's and Newton's interpolation formulae for unequal intervals - Inverse interpolation. Numerical Integration: Quadrature

formula - Trapezoidal rule -Simpon's 1/3 and 3/8 rule(wilhout proofs) Trapezoidal rule -Simpon's 1/3 and 3/8 rule, (without proof) and problems

T opics No of hours Introduction of numerical Analysis 01 Finite differences-definition and properties 02 nth differences of a polynomial. Factorial notations

01

Newton -Gregory forward and backward interpolation formulae

02

Computation of first and second derivatives 02 Quadrature formula 01

Trapezoidal rule -Simpon's 1/3 and 3/8 rule 02 problems 01 Numerical differential using forward and backward interpolation formulae

02

Learning Resources:

1. Michael Artin, Algebra, 2ncl ed. New Delhi, India; PHI Learning Pvl Ltd., 2011.

2. Vashista, A First Course in Modem Algebra, 11th ed.: KrishnaPrakasanMandir, 1980.

3. John B Fraleigh, A First course in Abstract Algebra, 3rd ed.: Narosa Publishing House,, 1990.

4. R Balakrishan and N.Ramabadran, A Textbook of Modem Algebra, 1st ed. New Delhi, India:

Vikas publishing house pvt.Ltd., 1991.


6. B Spain,Vector Analysis, ELBS, ! 994.

7. D E Bouraesand, P C Kendall, Vector Analysis, ELBS, 1996.

8. S SSastry, Introductory methods of Numerical Analysis, Prentice Hall of India

List of Assignments :Solving the given question bank

Weblinks:

http://www.themathpage .com/

2. http://www.abstractmath.org/

3. http://ocw.rait.edu/coui-ses/mathematics/ 4. http://pIanetmath.org/encyclopedia/TopicsOnCalcutus.html

o. http://ocw.mit.edu/Ocw Web/Mathe mat}cs/18-01Fall-2005/Course Ho me/index. htm

6. http ;//mathworld. wolfram.com/Caiculus.html

2. http://www.univie.ac.at/future.inedia/moe/galerie.html 8. http://www.math,gatech.edu/~harreH/calc/

9. http://www.amtp.cara.ac.Ldc/lab/people/sd/lectures/nummeth98/index.htra

10. http://math.fullerton,edu/mathews/numericaI.htmI

11. http;//www.onesmartclick.com/engineering/numerical-methods.html




Subject:

1. Course title and code : MATHEMATICS - V (paper -6)


3. Level / Year : V Sem

Faculty Incharge:Radhika.M, Shahda Anjum Aim and Objectives:

This course introduces basic concepts of calculus of variation,Line And Multiple Integrals and

integral theorem

The Objectives of this course include the following

Explain the variation of a function extremalof a functional and some standard problems

Line integrals and it's properties, double integrals and triple integrals

Green's theorem divergence theorem and Stokes theorem

Unit-1

1. MATHEMATICAL METHODS - II

Calculus Of Variation ^4 hours)

V ariation of a function f = f(x, y, y) — variation of the corresponding functional — extremal of a

functional — variational problem — Euler's equation and its particular forms - Examples - standard problems like geodesies, minimal surface of revolution, hanging chain, Brachistochrone problem -

Isoperimetric problems

Topics No of hours Introduction of Calculus Of Variation Oi Variation of a function f = f(x, y, v) 02 variation of the corresponding functional - extremal of a functional

02

variational problem 02 Euler's equation and its particular forms - Examples — standard problems like geodesies,

03

minimal surface of revolution 02 Brachistochrone problem -Isoperimetric problems

02

14 hours

2. CALCULUS-VI

a). Line And Multiple Integrals (18 hours)Definition of line integral and basic properties examples evaluation of line integrals. Definition of double

integral — its conversion to iterated integrals .Evaluation of double integrals by change of order of integration and by change of variables - computation of plane and surface areas 3volume

underneath a surface and volume of revolution using double integrals. Deflnilionof triple integral and evaluation - change of variables - volume as a triple integral.

Topic No of hours Introduction 01 line integral over a plane curve 01 Independent of path 01 Definition and Evaluation of double integral

01

change of order of integration 02 Change of variables in a double integral 01 double integral in a polar form 01 Applications of double integrals to find area and volume

02

Computation of plane areas in Cartesian and polar form

02

computation of surface areas 01 Volume of surface using double integrals 01 Triple integral 01 triple integral in cylindrical and spherical polar coordinates

02

Compulation of volume by triple integrals 01 18 hours

b). Integral Theorems (14 hours)

Green's theorem (with proof) - Direct consequences of the theorem.The Divergence theorem (with proof) - Direct consequences of the theorem.The Stokes' theorem (with proof) - Direct

consequences of the theorem.

Topics No of hours Introduction 01 Green's theorem in the plane 02 Proof of Green's theorem in the plane 01 Extensions of Green's theorem 02 Gauss divergence theorem 02 Stokes' theorem 02

Learning Resources;

1. F B Hildebrand, Methods in Applied Mathematics,

2. B Spain,Veclor Analysis . ELBS, 1994. 3. D E Boumesand, P C Kendall Vector Analysis, ELBS, 1996


Weblinks:

1.http;//ocw .mit.edu/courses/mathematics/ 2. http://planetmath.org/encyclopedia/TopicsOnCalculus.html

3. ht1p://mathworld.wolfram.com/Calculus.html

4. http://www.univie.ac.at/fumre.media/moe/calerie.html 5. http://www.math.gatech.edu/~harrell/calc/

GOVERNMENT FIRST GRADE COLLEGE, KGF COURSE PLAN SPECIFICATION: ACADEMIC YEAR 2017-2018


Subject:

1. Course title and code : MATHEMATICS - VI (paper -7)


3. Level / Year : VI Sem

Faculty Iiicharge:Radhika.M,Shabda Anjum

Aim and Objectives:

This course introduces concepts of Linear Algebra. Orthogonal Curvilinear Co ordinates, and Partial Differential Equations.

The objectives of this course include the following

Explaining vector space with examples, its properties. Subspaccs, linear combination, linear independent and dependent subsets, basis and dimensions. Linear transformation, matrix of linear transformation, change of basis, range and kernel, rank and nullity theorem Orthogonal curvilinear co ordinates, spherical curvilinear system, Cartesian , cylindrical, spherical co ordinate system Total ditferential equations, simultaneous equations, formation of PDE, lsl order Lagrange's linear equation, solution oi second order linear PDE in two variables with constant coefficients by finding complementary function and particular integral Solution of one dimensional heat and wave equations using Fourier series.

UNIT-1

ALGEBRA-V

Linear Algebra (14 hours)

Vector space-Examples-Properties-Subspace-criterion for a subset to be a subspace-iinear span of a set-linear combination-linear independent and dependent subsets-Basis and

dimensions-standard properties-Examples illustrating concepts and results.

Linear transformations-properties-matrix of linear transfonnation-change of basis-range and kernel-rank and nullity- Rank-Nullity theorem- Non-singular and singular linear transformations- standard properties-examples

Topics No. of hours

Introduction of Linear algebra 01 Vector space, examples, properties, subspaces 01 Criterion for subset to be a subspace 01 Linear span of a set 01 Linear combination 01 Linear dependent and independent subsets 02 Basis and dimensions, standard properties 02 Examples illustrating concepts and results 01 Linear transformation 03 Matrix of a linear transformation 01 Range and kernel 01 Rank- Nullity theorem 01

UNIT-n

2. Differeotial Equations III

a). Orthogonal Curvilinear Coordinates (10 hours)

Definition of orthogonal curvilinear coordinates. Fundamental vectors or base vectors, scale factors or material factors-quadratic differential form, spherical curvilinear system: Cartesian, cylindrical- conversion of cylindrical to orthogonal spherical polar coordinates. Theorem: The spherical coordinate system is orthogonal curvilinear coordinate system, (without proof) No problems on conversions of one system to another.

Topics No. of hours

Introduction of orthogonal curvilinear co-ordinates 01 Definition of orthogonal curvilinear co-ordinates, fundamental vectors 02 Scale factors or material factors 01 Spherical curvilinear system . 02 Cartesian cylindrical-conversion of cylindrical to orthogonal spherical polar co-ordinates

02

The spherical co-ordinate system is orthogonal curvilinear co-ordinate system 02

b). Partial Differential Equations (18 hours)

Total differential equations- Ncessary condition for the equation Pdx+Qdy+Rdz=0 to be

integrable-simultaneous equations of the form V = ^

Formation of partial differential equation. Equations of First Order Lagrange's linear equation-charpit's method, standard types of first order non-linear partial differential equation(By known substitution).

Solution of second order linear partial differential equations in two variables with constant coefficients by finding complementary function and particular integral

Solution of one-dimensional heat equations, Solution of one-dimensional wave equatrions using Fourier series.

Topics No. of hours Introduction to PDE 01 Necessary condition for the equation Pdx+Qdy+Rdz=0 02 Formation of Partial Differential Equation 03 Equations of First Order Laerange's linear equation 03 Finding complementary function and particular integral 05 One-dimensional heat equations 02 Solution of one-dimensional wave equation using Fourier series 02

Learning resources:

Reference Books:

1. Krishnamoorty V K and Mainra V P and Arora J L, An Introduction to Linear Albegra, Reprint, New Delhi, India: Affiliated East West Press Pvt, Ltd, 2003

2. M D Raisinghania, Vector Calculus, S Chand Co. Pvt. Ltd, 2013


PPT on Linear algebra

Web links:

1. http://ocw.niit.edu/courses/mathematics/

2. http://mathworld. wolfram .com/Calculus.html

3. httD://mvw.math.gatech.edu/-harrell/calc/ 4. http://tutoriaLmath.lamar.edu/cIasses/de/de.aspx

5. http.7/ww\v.sosmath.com/diffeq/diffeq.html 6. http://www.analy2emath.com/calcuIus/Differential_Equations/applications.html


COURSE PLAN SPECIFICATIONrACADEMIC YEAR 2017-2018


SUBJECT:

1. Course title and Code: MATHEMATrCS-VHI(paper 8)

2. Credit hours :42

3. Level/Year:VI Sem

Faculty Incharge:Radhika.M, Amrutba.R.K

Aim and Objectives:

This course introduces concepts Complex Analysis and Numerical Methods II

The objectives of this course include the following

• Representing complex numbers in Cartesian and polar form, Euler's formula, limit and continuity, Analytic function Cauchy-Riemann eqns in Cartesian and polar form, harmonic function, and Milne Thomsan method. Complex integration, Cauchy's inequality, Liouville's theorem, fundamental theorem of algebra. Conformal transformation, bilinear transformation,

• Numerical solutions of algebraic and transcendental equations, bisection method, regula falsi, newton-raphson method, jacobi's method. Gauss seidel method. Solution of initial value problems for linear I s1 order DE by Taylor's series, Euler's and Euler's modified method and Runge-kutta 4tn ordered method

UNIT-I

1. ANALYSIS-III

Complex Analysis (28 hours)

Complex numbers- Cartesian and polar form- geometrical representation- complex plane-

Euier's formula- e'6 = cosQ + isinB. Functions of a complex variable-limit, continuity and differentiability of a complex function. Analytic function Cauchy-Riemann equations in Cartesian and Polar forms- Sufficiency conditions for analyticity- Harmonic function- standard properties of analytic functions-construction of analytic function when real or imaginary part is given- Milne Thomson method.

Complex integration -properties-problems. Cauchy's Integral theorem-proof using Green's theorem- direct consequences Cauchy's integral formula with proof-Cauchy's generalized formula for the derivatives with proof and applications for evaluation of simple line integrals- Cauchy's inequality with proof- Liouville's theorem with proof. Fundamental theorem of algebra with proof.

Transformations- conformal transformation- some elementary transformations namely Translation, rotation, magnification and inversion- examples

The bilinear transformation- cross ratio- invariant points of BT-properties

B.T. sets up one to one correspondence between the extended z-plane and the extended w- plane Preservation of cross ratio under a B.T A B.T. transfomis circle onto circles or straight lines

Problems on finding a BX. and finding images under a B.T., and invariant points of a B.T. Discussion of transformations w=z2

5 w-sinz, w=coshz and w=e2

Topics No. of hours Introduction of complex analysis 01 Cartesian and Polar form-geometrical representation 02 Complex-plane- Euler's formula 01 Functions of complex variable- limit 01 Continuity and differentiability of a complex function 02 Analytic function, Cauchy's Riemann equation 02 Harmonic function- standard properties analytic functions 02 Analytic functions 01 Milne Thomson method 01 Complex integration, properties- problems 02 Cauchy's integral theorem- proof using Green's theorem 02 Direct consequences 01 Cauchy's integral formula with proof 01 Applications for evaluation of simple line integrals 02 Cauchy's inequality with proof 01 Liouville's theorem with proof 01 Fundamental theorem of algebra 01 Transformations- Conformal transformation 01 Translation, rotation, magnification and inversion- examples 01 Bilinear transformation and properties 01 Problems on finding B.T 01

NUMERICAL METHODS (14 hours)

Numerical solutions of algebraic and transcendental equations — method of successive bisection -method of false position- newton-raphson method. Numerical solutions of non- Homogeneous system of linear algebraic equations in three variables by jacobi's method and Gauss-seide! method. Computation of largest Eigen value of a square matrix method. Solution of initial value problems for linear lSl order DE by Taylor's series, Euler's and Euler's modified method and Runge-kutta 4th ordered method.

Topics No. of hours

Introduction of Numerical Analysis 01 Solution of algebraic and transcendental equations 01 Method of false position and Newton- Raphson method 02 Numerical solutions of non-homogeneous system 01 Linear algebraic equations in 3 variables by Jacobi's and Gauss-Seidel methods

02

Computation of largest eigen value of a square matrix by power method 01 Using inverse power method finding least eigen value 03 Solution of initial value problems by ordinary linear first order differential equations by Taylor's series

02

Euler's and Euler's modified method 01 Runge kutta method of order 4 02

Learning resources:

Reference Books:

1. R V Churchil & JW Brown, Complex Variables and Applications, 5lh ed.: McGraq Hill Companies, 1989.

2. S S Sastry. Introductory methods of Numerical Analysis, PRENTICE Hall of India, 2012

List of Assignments :Bangalore University prescribed assignment questions given,

PPT on complex analysis

Web links:

1.http://wrww.mathcs.org/analysis/reals/index,htmI

2. http://www.amtp.cam.ac.uk/lab/people/sd/lectees/nummeth98/index.htm

3. http;//math.fullerton.edu/mathews/numerical.html 4. httpi/Zwww.onesmaitclick.conVengineermg/numericabmethods.html

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Programe: BSc Course/Paper Name; PROGRAMMING CONCEPTS USING C Semester:! Semester Class: PMCs Name of the Faculty: PRIYA.S Total Hours;60 Si.

No.


Hours

Methodology/pedagogy Date Initial

Unit 1:

1 Introduction to Programming Concepts: Software, Classification of Software, Modular Programming

2 Black board /Lecture Method/ICT

July 2nd

week 2017

2 Structured Programming, Algorithms and Flowcharts with examples

3 Black board / Lecture method/ ICT

July 3rd

week 2017

3 History of C, Character set, C tokens. Identifiers, Keywords,

2 Blackboard/Lecture method/ ICT

July 3rd

week 2017

4 Data types, Variables, Constants, Symbolic Constants, Operators in C,


July 4th

week 2017

5 Hierarchy of Operators, Expressions, Type Conversions and Library Functions


August 1st

week 2017

Total hours:

12

Quiz/Assignment - 01 Unit 2 :

6 Managing Input and Output Operation: Formatted and Unformatted I/O Functions


August 2nd

week 2017

7 Decision making, branching and looping: Decision Making Statements - if Statement, if- else statement, nesting of if-else statements, else-if ladder, switch statement, ?: operator


August 3rd

week 2017

8 Looping - while, do-while, for loop. Nested loop, break, continue, and goto statements

- 3 Blackboard/Lecture method/ ICT

August 4th

week 2017

9 Functions: Function Definition, prototyping, types of functions, passing arguments to functions, Nested Functions,


August 5th

week 2017

10 Recursive functions 1 Blackboard/Lecture method/ ICT

August 5th

week 2017

Total hours; 12

Internal Assessment Test-01 Assignment - 02 Unit 3:

11 Arrays: Declaring and Initializing, One Dimensional Arrays, Two Dimensional Arrays, Multi Dimensional Arrays - Passing arrays to functions


September 1st week

2017

12 Strings: Declaring and Initializing strings. Operations on strings, Arrays of strings, passing strings to functions


September 2nd week

2017

13 Storage Classes - Automatic, External, Static and Register Variables


September 3rd week

2017 Total hours : 12

Unit 4; 14 Structures - Declaring and Initializing,

Nested structure. Array of Structure, Passing structures to functions.


September 4,h week

2017

15 Unions, typedef, enum. Bit fields 2 Blackboard/Lecture method/ ICT

September 5th week

16 Pointers - Declarations, Pointer arithmetic. Pointers and functions, Call by value. Call by reference

3 Black board/Lecture method / ICT

October 1st

week 2017

17 Pointers and Arrays, Arrays of Pointers, Pointers and Structures. Meaning of static and dynamic memory allocation. Memory allocation functions

4 Black board/Lecture method / ICT

October 2nd

week 2017

Total hours : 12

Internal Assessment Test-02 Assignment - 03 Unit 5:

18 Files - File modes, File functions, and File operations. Text and Binary files


October 3ld

week 2017

19 Command Line arguments. C Preprocessor directives, Macros - Definition, types of Macros


October 4th

week 2019

20 Creating and implementing user defined header files


October 5th

week 2019

Total hours: 12 Preparatory Exam-01

Date of submission of IA Marks :

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Programme: BSc Course/Paper Name: DATA STRUCTURES Semester:!! Semester Class: PMCs Name of the FacuIty:PRIYA.S Total Hours;60 SI.

No.

Topic covered No. of

Lecture

Hours

Methodology/pedag

ogy

Date Initial

Unit 1:

1 Introduction and Overview: Definition, Elementary data organization, Data Structures,data structures operations.

2 Black board/ Lecture method/ PPT

January 3rd

week 2018

2 Abstract data types, algorithms complexity, time-space tradeoff.


January 3rd

week 2018

3 Preliminaries: Mathematical notations and functions. Algorithmic notations, control structures. Complexity of algorithms, asymptotic notations for complexity of algorithms.


January 4th

week 2018

4 String Processing: Definition, Storing Stings, String as ADT, String operations.


January 5th

week 2018

5 word/text processing, Pattern Matching algorithms


Feb 1st

week 2018

Total hours: 12

Unit 2 : 6 Arrays: Definition, Linear arrays, arrays as

ADT, Representation of Linear Arrays in Memory,

Black board/ Lecture method/ PPT

Feb 2nd

week 2018

7 Traversing Linear arrays. Inserting and deleting.


Feb 3rd

week 2018

8 Sorting: Bubble sort. Insertion sort. Selection sort.


Feb 4th

week 2018

9 Searching: Linear Search, Binary search. Multidimensional arrays. Matrices and Sparse matrices


Marchlst

week 2018

Total hours 12:

Internal Assessment Test/Quiz/Assignment - 01

Unit 3; 10 Linked list; Definition, Representation of

Singly linked list in memory. 2 Black board/ Lecture

method/ PPT March 2nd

week 2018

11 Traversing a Singly linked list. Searching a Singly linked list.


March 2nd

week 2018

12 Memory allocation. Garbage collection. Insertion into a singly linked list


March 3rd

week 2018

13 Deletion from a singly liked list; Doubly liked list


March 4,h

week 2018

14 Header liked list. Circular linked list 2 March 5th

week 2018 Total hours : 12

Unit 4: 15 Stacks - Definition, Array representation of

stacks. Linked representation of stacks.


April 1st

week 2018

16 Stack as ADT, Arithmetic Expressions: Polish Notation, Application of Stacks, Recursion, Towers of Hanoi, Implementation of recursive procedures by stack.


April 2nd

Week 2018

17 Queues - Definition, Operations on Queues Array representation of queue. Linked list representation of queues


April 3rd

Week 2018

18 Types of queue: Simple queue. Circular queue. Double ended queue , Priority queue,Applications of queues


April 4th

Week 2018

Total hours ; 12 Internal Assessment Test/Quiz/Assignment - 02

Unit 5: 19 Graphs: Graph theory terminology. Sequential

representation of Graphs: Adjacency matrix,


April 5th

Week 2018

20 traversing a Graph.-Breadth first search and Depth first search

3 PPT May 1st

week2018

21 Tree - Definitions, Binary trees. Representing binary trees in memory.

3 PPT May 1st

Week 2018

22 Operations on Binary Trees,Travering binary trees

3 PPT May 2nd

Week 2018

Total hours: 12:

Preparatory Exam-01


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Programme;!}. Sc Course/Paper Name DATABASE MANAGEMENT SYSTEM AND SOFTWARE ENGINEERING Semester:III Class: II year PMCs Name of the Faculty: TANAJI Total Hours: 60

SI.

No.

Topic covered No. of

Lecture

Hours


Unit 1:

7. Introduction: Data, Database, DBMS, Characteristics of Database Approach, Database Users, Advantages of DBMS.

2 July 2nd

week 2017

Database System Concepts and Architecture; Data Models, Schemas, and Instances, DBMS Architecture and Data Independence, Database languages and interfaces. The Database system Environment, Classification of Database Management Systems.

5 Black board. Lecture,

Case Studies.

July 3rd

week 2017

Data Modeling Using the Entity- Relationship Model: High level Conceptual Data Models for Database Design with an example, Entity types, Entity sets. Attributes, and Keys, ER Model Concepts, Notation for ER Diagrams, Proper naming of Schema Constructs.

5

July 4th week 2017

Total hours : 12

Unit 2 :

8. RDBMS: Relational database concepts & attribute, tuple, types of attributes - single, multi-valued, stored, derived etc., keys - primary, index, candidate.

4 Black board. Lecture, PPT, Case Studies.

July 5th

week2017

alternate, foreign. Relationships,

Relational algebra operations- UNION, INTERSECTION, DIFFERENCE, CARTESIAN PRODUCT, SELECTION, PROJECTION, JOIN, DIVISION, relational calculus. Domain, Domain integrity. Integrity rules - Entity integrity, referential integrity, Normalization and its properties, I, II and III Normal forms.

4

4

July 5,h

week to August 1st

week 2017

August 2nd week to August 3rd

week 2017

9. Internal Assessment Test, Assignment - 01

1

Total hours : 12 Unit 3;

4. DDL and DML in SQL: DDL commands - create table/views/index, drop, alter, DML commands - select, insert, delete, update, etc.,

DCL commands - grant, revoke, commit, TCL commands, SQL- query, sub-query, nested query, Joins - natural, inner, outer join, aggregate functions in SQL.

PL / SQL; Introduction, Exceptions & Cursor Management, Database Triggers, Functions,

4

5

3

Black board, Lecture, PPT, Seminar, Case

Studies.

August 4th week to August 5th week

September 1 st week to 3rd week 2017

September 3rdWeek to September 5th week 2017

Internal Assessment Test, Assignment - 01

Total hours :12 Unit 4:

22 Defining software,software engineering and its application characteristics

2 Black board/ Lecture

23 Software process (generic and umbrella activities) and myths


24 Generic process models-waterfall model 2 PPT October 1st

week to 25 V-model ,incremental model and

Evolutionary process model (prototype and spiral model)

2 PPT October 3rd

week 2017

26 Agile model 1 PPT

27 Extreme programming 1 Black board/ Lecture

28 Other Agile process models 1 PPT

29 Understanding requirements and requirement engineering tasks


30 Establishment of Groundwork 1 Black board/ Lecture


1

Total hours 13

Unit 5:

31 Requirement Analysis 1 Group Discussion October 3rd

32 Modeling- Requirement modeling. Scenario based modeling, UML models, Data modeling. Class based modeling. Flow oriented modeling. Behavioral modeling

4 PPT week to November

1st week 2017

33 Design concepts( Architectural design, Component-Level design,User Interface design and Pattern-Based design)

3 PPT

34 Quality Concepts : Software Quality Assurance, Reviews and Techniques


35 Testing (White box and Black box) Software Testing Strategies and Software Testing Fundamentals

3 PPT/ Black board


1

Total hours . :13


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B.O.D of COMPUTER SCIENCE

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programe: B.Sc Course/Paper Name: Operating System and Unix

Semester: IV Semester Class: PMCS

Name of the Faculty: MADHAVI Total Hours: 60

SI.

No. Topic covered

No. of Lecture

Hours

Methodology/

pedagogy Date Initial

Unit 1: Introduction to operating systems. Process Management

1 Introduction, Types of Operating System

2 Black board/ Lecture Jan 5th

week 2018

2 Functions of Operating System 1 Black board/ Lecture Feb 1st

week 2018 3 Components of Operating System 1 Black board/ Lecture

4 Operating system services and System call


5 Process concepts. Process Scheduling 1 Black board/ Lecture/ PPT/ Seminar

Feb 2nd

week 2018 6 Intercrosses Communication, CPU

Scheduling Criteria.


7 Scheduling algorithms, Types of Scheduling Algorithms.

3 Black board/ Lecture Feb 3rd

week 2018

8 Multiple processor scheduling , Real time scheduling.


Total hours: 12

Unit 2 : Process Synchronization, Deadlocks

9 The critical section problem 1 Black board/ Lecture Feb 4th

week 2018 10 Synchronization hardware 1 Black board/ Lecture

11 Semaphores 1 Black board/ Lecture

12 Classical problems of synchronization

2 Black board/ Lecture March 1st week 2018 13 Critical regions 1 Black board/ Lecture

14 Monitors 1 Black board/ Lecture

15 Introduction, system model, deadlock

characteristics. 1 Black board/ Lecture March

2nd week 2018 16 Handling deadlocks 1 Black board/ Lecture/

PPT/ Seminar 17 Deadlock prevention 1 Black board/ Lecture

/ PPT/ Seminar

18 Deadlock avoidance 1 Black board/ Lecture 19 Detection, recovery from deadlock 1 Black board/ Lecture

Total hours: 12 20 Internal Assessment

Test/Quiz/Assignment - 01 1 Offline

Unit 3: Memory management. File management. Disk management

21 Functions, Single contiguous partitioned memory management.

2 Black board/ Lecture /PPT

March 2nd week

2018 22 Paging, Segmentation 1 Black board/ Lecture 23 Demand paging. Virtual memory

management. 1 Black board/ Lecture

24 File concepts, File access methods 1 Black board/ Lecture March 3rd week 2018

25 Directory structures 1 Black board/ Lecture 26 File sharing. File allocation methods 1 Black board/ Lecture 27 Free space management 1 Black board/ Lecture

28 Disk Structure 1 Black board/ Lecture March 4th week 2018 29 Disk Scheduling methods 1 Black board/ Lecture

30 Disk Management 1 Black board/ Lecture

31 Swap space management 1 Black board/ Lecture

Total hours: 12 Unit 4: History of Unix, Files and File Organization

32 History of Unix, salient features, Unix Components

1 Black board/ Lecture March 5111 week 2018 33 Types of shell. Internal and External

commands 2 Black board/ Lecture

34 Files and File Organization- Categories of files


35 Unix file system. Directories 2 Black board/ Lecture April 1st

week 2018

36 File related commands. 1 Black board/ Lecture

37 Directory related commands. 1 38 wild cards, Printing and Comparing 1 Black board/ Lecture

files.

39 Ownership of files. File attributes 1 Black board/ Lecture April 2nd

week 2018

40 File permissions and Manipulations, 1 Black board/ Lecture/ PPT

41 Standard I/O, Redirection, pipe,

filter.


Total hours : 12

42 Internal Assessment


Offline

Unit 5: Introduction to vi editor. She! Programming

43 Introduction to vi editor. The three

modes of the vi editor. Invoking vi editor

1 Black board/ Lecture April

3rd week 2018 44 Configuring the vi environment.

Regular expressions. The grep

command.


45 The process - parent and child process, process creation, process related commands

2 Black board/ Lecture April 4th

week 2018

46 Shell Programming - shell script features, shell variables


47 writing and executing a shell script, positional parameters arguments

1 Black board/ Lecture/ PPT

April 5th

week 2018 48 Branching control structures- if, case. 2 Black board/ Lecture

49 Loop control structures - while, until, for

2 Black board/ Lecture May 1st

week 2018 50 Jumping control structures; break,

continue, exit


51 Integer and Real arithmetic in shell

programs. Debugging scripts.


Total hours : 12


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H. O. D of COMPUTER SCIENCE

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Programe: B.Sc Course/Paper Name; Object Oriented Programming Using JAVA Semester: Y Semester

Class: PMCS

Name of the Faculty: TANAJI Total Hours: 52

SI.

No. Topic covered

No. of

Lecture

Hours

Methodology/


Unit 1; Introduction to JAVA, Operators, Decision Making Branching and Looping

1 Introduction to JAVA: JAVA Evolution; Java History, Java Features, How Java Differs from C

and C++,


July 2nd

week 2017

2 Java and Internet, Java and World Wide Web, Web Browsers, Hardware and Software Requirements, Java Support Systems,

Java Environment.


3 Overview of JAVA Language: Introduction, Simple Java program, More of Java Statements, Implementing a Java Program, Java

Virtual Machine


4 Command Line Arguments, Programming Style. Constants, Variables, and Data Types:

1 Black board/ Lecture/ PPT/ Seminar

July 3rd

week 2017

5 Introduction, Constants, Variables,

Data Types, Declaration of Variables, Giving Values to Variables, Scope of Variables, Symbolic Constants, Type Casting, Getting Values of Variables, Standard Default Values.


6 Operators and Expressions; Introduction, Arithmetic Operators, Relational Operators Logical


July 4th

week 2017

Operators, Assignment Operators, Increment and Decrement Operators,7Conditional Operators, Bitwise Operators, Special

Operators, Arithmetic Expressions,

7 Evaluation of Expressions, Precedence of Arithmetic Operators, Type Conversion and Associativity, Mathematical Functions.

1 Black board/

Lecture

July 5th

week 2017

8 Decision Making and Branching; Introduction, Decision Making with

if Statement, Simple if Statement, The if else Statement, Nesting of if .else Statements, The else if Ladder, The Switch Statement, The ?

: Operator.


9 Decision Making and Looping; Introduction. The while Statement,

the do Statement, the for Statement, Jumps in Loops Labeled Loops.


Total hours: 13

Unit 2 : Classes, Arrays, Strings, Vectors, Wrapper Classes, Interfaces

10 Classes, Objects and Methods: Introduction, Defining a Class, Adding Variables, Adding Methods


August 1st

week 2017

11 Creating Objects, Accessing Class Members


12 Constructors, Types of Constructors 1 Black board/ Lecture

13 Methods Overloading, Static Members, Nesting of Methods


14 Inheritance; Extending a Class Overriding Methods


August 2nd

week 2017

15 Final Variables and Methods, Finalizer methods, Abstract Methods

and Classes, Visibility Control.


16 Arrays, One-dimensional Arrays, Creating an Array, Two - Dimensional Arrays, Creating an Array, Two - dimensional Arrays.

2 Black board/ Lecture /PPT/ Seminar

17 Strings 1 Black board/ Lecture

August 3rd

week 2017

18 Vectors 1 Black board/ Lecture

19 Wrapper Classes 1 Black board/

Lecture

20 Interfaces; Multiple Inheritance; Introduction, Defining Interfaces, Extending Interfaces, Implementing

Interfaces, Accessing Interface Variables.


Total hours: 13

21 Internal Assessment Test/Ouiz/Assignment - 01

1 Offiline

Unit 3: Packases. Multithreading, Exceptions

22 Packages: Putting Classes together; Introduction, Java API Packages,

Using System Packages, Naming Conventions,


August 4 th

week 2017

23 Creating Packages, Accessing a Package, Using a Package, Adding a

Class to a Package, Hiding Classes


24 Multithreaded Programming: Introduction, Creating Threads, Extending the Thread Class


August 5th

week 2017

25 Stopping and Blocking a thread, Life

Cycle of a thread.


26 Using Thread Methods, Thread

Exceptions, Thread Priority,

Synchronization, Implementing the

'Runnable' Interface.


September

1st week 2017

27 Managing Errors and Exceptions: Introduction, Types of Exception Handling Code


28 Multiple Catch Statements, Using Finally Statement, Throwing Our Own Exceptions


September 2nd week 2017

29 Using Exceptions for Debugging. 1 Black board/ Lecture

Total hours : 13

Unit 4: Annlet Programming, Managing Input/Output Files

30 Introduction, How Applets Differ

from Applications, Preparing to Write Applets, Building Applet Code


September 3rd week 2017

31 Applet Life Cycle, Creating an Executable applet. Designing a Web

Page, Applet Tag,


32 Adding Applet to HTML File,

running the Applet, More About HTML Tags,

1 Black board/

Lecture

33 Displaying Numerical Values,

Getting Input from the User

1 Black board/ Lecture / PPT

September

5th week 2017

34 Graphics Programming: Introduction,

The Graphics Class, Lines and rectangles, circles


35 Ellipses, Drawing Arcs, Drawing Polygons, Lines Graphs, Using

Control Loops in Applets, Drawing Bar Charts

2 Black board/ Lecture / PPT

October 1st

week 2017

36 Managing Input/Output Files in JAVA; Introduction, Concept of Streams, Stream Classes


37 Byte Stream Classes, Character Stream Classes, Using Streams


October 2nd

week 2017

38 Other Useful I/O Classes, Using the

File Class, Input / Output Exceptions,


39 Creation of Files, Reading / Writing Characters, Reading / Writing Bytes, Handling Primitive Data Types, Concatenating and Buffering Files,


October 3rd

week 2017

40 Interactive Input and output. Other

Stream Classes.

1 Black board/ Lecture/ / PPT

Total hours ; 13

41 Internal Assessment Test/Ouiz/Assisnment - 02

Offline


D Signature ^

B.O.D of COMPUTER SCIENCE

Govt, First Grade College K.Q.F-56J 122.

AL CI


K. G. F.- 563 122


Department of Coliegiate Education



Programe; B.Sc Course/Paper Name: Visual Programming Semester: V Semester

Class: PMCS

Name of the Faculty: PRIYA S AND MADHAVI Total Hours: 52

SI.

No. Topic covered

No. of Lecture

Hours

Methodology/


Unit 1: Introduction to Visual Programming

1 The integrated Development Environment - menu bar, tool bar, from designer


July 3rd

week 2017

2 Project explorer, properties window, from layout window


3 The VB editor. The form object; Properties, events and methods pf forms

1 Black board/ Lecture July 4th

week 2017

4 Properties - Name, Captain, Backcolor, Borderstyle, controlbox, maxbutton, minbutton, moveable.


5 Startup position, height, width, left, top, scalemode, window, state;

1 Black board/ Lecture July 5th

week 2017

6 Events -load, unload, Clerk, Activate, Deactivate, Resize, methods - Show, hide, els, Unload


7 print, Controls -Properties and events of different controls such as command buttons, labels, textboxes

2 Black board/ Lecture August 1st

week 2017

8 image controls, timer, horizontal and vertical scroll bars, option buttonscheck boxes, frames lists and

combo boxes


August 2nd

week 2017

9 Predefined Dialog Boxes - MsgBox and InputBOX.


August 3rd

week 2017

Total hours: 13

Unit 2 : Programming

10 Data types, variables; declaration 1 Black board/ Lecture August 4th

week 2017 11 scope arithmetic operations, Study of

form and code modules


12 private and public procedures. Main

procedure


13 Sub and Functions 1 Black board/ Lecture August 5th

week 2017

14 Mathematical and string Functions 1 Black board/ Lecture

15 Branching Statement: If- Then, if-

Then -Else and Nested If Statements;

Select Case


16 Looping Statement; For-Next,

While - Wend and Do - Loops

1 Black board/ Lecture /PPT/ Seminar

September

1st week 2017

17 Arrays- declaration. Static and

dynamic arrays.


18 Array Function 1 Black board/ Lecture

19 Menus and toolbars-Creating menus

and toolbars

2 Black board/ Lecture September 2nd week 2017

20 Working with the menu editor.

Designing Multiple Document

interface forms. Microsoft common

controls.

2 Black board/ Lecture September 3rd week 2017

Total hours; 13

21 Internal Assessment Test/Quiz/Assignment - 01

1 Offiline

Unit 3: OOP methods

22 class Modules 1 Black board/ Lecture September 4th week

23 Encapsulation and Inheritance characteristics.

2 Black board/ Lecture 2017

24 Dynamic Link Libraries (DLLs) 2 Black board/ Lecture September 5 th week

25 Windows API; Designing Help files 1 Black board/ Lecture 2017

26 File handling 2 Black board/ Lecture October 1st

week 2017

27 Sequential ,Random access and Binary files


28 Database connectivity - DAO and ADO Tables

2 Black board/ Lecture October 2nd

week 2017

29 Queries, ActiveX Data objects 1 Black board/ Lecture

Total hours : 13

Unit 4: Visual C++ Programming

30 Obj ects-Classes-VC++Components 1 Black board/ Lecture October 3rd

week 2017

31 Resources-Event Handling 1 Black board/ Lecture

32 Menus 1 Black board/ Lecture

33 Dialog Boxes 1 Black board/ Lecture /PPT

October 4th

week 2017

34 Importing VBX Controls 1 Black board/

Lecture/ PPT

35 Files - MFC File Handling Black board/ Lecture /PPT

36 Document View Architecture - Serialization

1 Black board/ Lecture October 5th

week 2017

37 Interfacing Other Applications -

Multiple Document Interface (MDI) 1 Black board/

Lecture/ PPT

38 Splitter Windows, Exception Handling, Debugging


39 Object Linking and Embedding (OLE)

Black board/ Lecture November 1st week 2017 40 Database Application - DLL-

ODBC.

1 Black board/

Lecture/ / PPT

Total hours: 13

41 Intern

Test/C

al Assessment •uiz/Assignment - 02

Offline

Date of submission of IA Marks ;

D Signatur

B. O. D of COMPUTER SCTENCF

Govt, First Grade Co lie p*

K.G.F-56J LV

'P. PRINCIPAL

Govt, First Grade College

K. G. F. - 563 122





Programme:B.Sc Course/Paper NameCOMPUTER NETWORKS Semester: VI Class: III year PMCs Name of the Faculty: Shuab ulla khan and Priya S Total Hours: 52

SI.

No.


Hours


Unit 1:

1 Introduction: Growth of computer networking, Complexity in network system. Motivation and Tools: Resource sharing, Growth of the internet, probing the internet, interpreting the ping response, tracing a route.

3 Black board. Lecture, Case Studies.

January 5th

week 2018

2.

Transmission Media: Copper wires, glass fibers, radio, satellite. Geosynchronous satellites, low earth orbit satellites. Low earth orbit satellite arrays. Microwave, Infrared, Light from a laser. Local Asynchronous Communications: Introduction, the need for asynchronous communications, using electric current to send bits, standards for communication, baud rate. Framing and errors. Half and Full duplex asynchronous communication, the effect of noise on communication.

5 Black board, Lecture, Case Studies

February

1st to 2nd

week 2018

3.

Long distance Communication; Sending signals across long distances. Modem hardware used for Modulations and Demodulation, Leased analog data circuites, optical, radio frequency and dialup Modems, carrier frequencies and Multiplexing, baseband and bradband technologies, wave length division multiplexing, spread spectrum, time division multiplexing

5 Black board, Lecture, Case Studies +PPT

February

2nd to 4lh

week 2018

Total hours: 13

4

Packets, Frames and Error Detection: Concept of Packets, packets and Time- division Multiplexing, Packets and Hardware Frames, byte Stuffing, transmission errors. Parity bits and Parity checking, error detection, Detecting errors with checksums, detecting errors with CRC, Burst errors, frame formats and error detection mechanism.

3 Black board, Lecture, PPT, Case Studies.

March 1st

week 2018

5,

LAN Technologies and Network Topologies; Direct point-to-point communications, Shared Communications channels, LAN Topologies, Ethernet, Carries sense on CSMA, Collision Detection and Backoffwih CSMA/CD, Ring Topology and Token Passing, Self- Healing Token Passing Networks, ATM.


March 2nd

week 2018

6. Hardware addressing and Frame Type Identification: specifying a recipient. How LAN hardware uses addresses to filer packets, format of a physical addresses, broadcasting. Multicast addressing, identifying packet contents, frame headers and frame format.


March 3rd

week 2018

7

LAN Wiling, Physical Topology and Interface Hardware: speeds of LANs and computers. Network Interface Hardware, The connection between a NIC and a network, original thick Ethernet wiring, connection multiplexing, thin Ethernet wiring, twisted pair Ethernet, Network interface cards and wiring schemes, categories of wires.

2 Black board. Lecture, PPT, Case Studies.

March 4,h

week 2018

Internal Assessment Test, Assignment - 01

1

8

Extending LANs: Fiber Optic Extensions, Repeaters, bridges, frame filtering, switching. Long-distance and Local Loop Digital Technologies: Digital telephony, Synchronous communication, SONET, ISDN, Asymmetric Digital Subscriber Line Technology, other DSL technologies, cable modem technology, upstream communication, Broadcast Satellite systems.


March 5,h

Week To April 2nd

week 2018

9.

WAN technologies and Routing: Large Networks and Wide Areas, Packet switches, forming a WAN, store and forward. Physical addressing in a WAN, Next-Hop forwarding, Source independence. Routing Table Computation, Shortest path computation in a Graph, distance vector routing, like-state routing, Example of WAN technologies. Network Characteristics: Network ownership, Network performance characteristics. Jitter.

6 Black board, Lecture, PPT, Seminar, Case Studies.

April 3rd

week 2018

10 Protocols and Layering: the need for protocols, the seven layers. Stacks; Layered Software.

2 Black board. Lecture, PPT, Case Studies,

April 4th

week 2018

Internal Assessment Test, seminar, Assignment - 01

Total hours ;13 11 Internetworking: internet architecture,

A virtual Network, Layering and TCP/IP protocols.

4

12 Internet Protocol Addresses, APR, IP Datagram's and Datagram Forwarding, IP Encapsulation.

4 Lecture, Online Classes, PPT, Case Studies.

April S"1

week—may 2nd week 2018

13 Fragmentation, and Reassembly, IPv6, ICMP, UDP, TCP, Internet routing, DNS, WWW, MAIL.

5

Total hours :13 Date of submission of IA Marks ;

Si re w faculty Signatuy^6rft0>D

g.O.Do/COMPVTER SCJENCB

Govt. First Grade College K.G.F-56d 122.

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K. G. F. - 563 122





ProgrammerB.Sc Course/Paper Name :Web ProgramiTiing Semester: VI Class : III year PMCs

Total Hours: 52 SI. No

Topic Covered No.of Lecture Hours

Methodology/Ped

agogy

Date Initial

Unit 1;

1. Fundamentals of Web: Internet, WWW, Web Browsers and Web Servers, URLs, MIME, HTTP, Security. The Web Programmers Toolbox

05 Text Book, Black

Board, System, PPT

Jan 5th

week to

Feb 2nd

week 2018

XHTML: Origins and evolution of HTML and XHTML, Basic syntax. Standard XHTML document structure, Basic text markup. Images, hypertext Links, Lists Tables, Forms, Frames, syntactic differences between HTML and XHTML

08 Text Book, Black Board, System, PPT

Total Hours 13 2. Unit H

Java Script: Overview of JavaScript: Object orientation and JavaScript; General syntactic characteristics; primitives. Operations and expressions;


Eeb 2nd

week to 4th

week 2018

Screen output and keyboard

input; control statements; Object creation and Modifications; arrays, functions; constructor, pattern matching using expressions, errors in Scripts; examples


3. Internal Assessment T est/Quiz/Assignment

01 Test Paper

Total Hours 13 4. Uni tm

Java Script and HTML documents. Dynamic Documents with JavaScript, the JavaScript execution environment; the Document Object Model; Element access in JavaScript; event and event handling; Handling events from the Body elements. Button elements. Text box and Password elements;


March 1st

week to 2nd

Week 2018

the DOM 2 event model; the navigator object; DOM tree

traversal and modification. Introduction to dynamic

documents; positioning elements; Moving elements; Element visibility; changing colours and fonts; dynamic

content; Stacking elements; Locating the mouse cursor; reacting to a mouse click; slow movement of elements; Dragging and dropping

elements.


March 2nd

week to 5th

week 2018

5. Internal Assessment Test/Assignment

01 Text Paper

Total Hours 13 6. Unit IV:

CSS: introduction, levels of style sheets. Style specification formats. Selector forms, property value forms. Font properties. List properties. Color, alignment of text. The Box model. Background mages.

The <span> and <div> tags, conflict resolution

06 OnLine Classes, PPT, Notes, Video

April 1st

week to 5th

week 2018 XML: Introduction; syntax: document structure; document Type definitions; Namespaces, XML schemas; displaying raw XML documents; displaying XML documents with CSS; XSLT style sheets; XML processors; Web services.

06 OnLine Classes, PPT, Notes, Video

7. Internal Assessment T est/Assignment

01 OnLine

Total Hours 13 Date of submission of IA Marks ;

Signature „

fi.O.D of COMPUTER SCIENCk

Govt. First Grade College K.Q.F'Sfo 122.

, ,-Principal INC/IPAL

f^Grade College K. G. F. - 563 12?