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SINGHANIA UNIVERSITY B.Sc (General)- Math Stream Syllabus YEAR - I P a p e r- I Paper-II Paper-III Paper-IV Paper-V YEAR - II Paper-I Paper-II Paper-III Paper-IV P a p e r- V YEAR - III Pa p e r - I Paper - II Paper - III Paper - IV Lab -I Lab- II YEAR - I P a p e r- I Paper-II Paper-III Paper-IV Paper-V YEAR - II Paper-I Paper-II Paper-III Course - Calculus - English - Fundamentals of Computer-I - Inorganic Chemistry - Physics-I - Advanced Calculus-I - Differential Equations and Integration-I - Fundamentals of Computer-II - Organic Chemistry - Physics-II - Advanced Calculus-II - Differential Equations and Integration-II - Physical Chemistry - Physics-III -Physical Chemistry Lab -Physics Lab B.Sc (General)- Biology Stream Syllabus Course - Biology - English - Fundamentals of Computer - Inorganic Chemistry - Physics-I - Botany-I - Zoology-I - Fundamentals of Computer-II Paper Code BSGN-101 BSGN-102 BSGN-103 BSGN-104 BSGN-105 BSGN-201 BSGN-202 BSGN-203 BSGN-204 BSGN-205 BSGN-301 BSGN-302 BSGN-303 BSGN-304 BSGN-353 BSGN-354 Paper Code BSGN-106 BSGN-102 BSGN-103 BSGN-104 BSGN-105 BSGN-206 BSGN-207 BSGN-203

SINGHANIA UNIVERSITY B.Sc (General)- - Avviare …B )Ionic Solids-Ionic structures radius ratio effect and coordination number, limitation of radius ratio rule, lattice defects semiconductorS,

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SINGHANIA UNIVERSITY

B.Sc (General)- Math Stream

Syllabus

YEAR - I P a p e r- I Paper-II Paper-III Paper-IV Paper-V YEAR - II

Paper-I

Paper-II Paper-III Paper-IV P a p e r- V YEAR - III

Pa p e r - I Paper - II Paper - III Paper - IV

Lab -I Lab- II

YEAR - I P a p e r- I Paper-II Paper-III Paper-IV Paper-V YEAR - II

Paper-I

Paper-II Paper-III

Course - Calculus

- English

- Fundamentals of Computer-I

- Inorganic Chemistry

- Physics-I

- Advanced Calculus-I

- Differential Equations and Integration-I

- Fundamentals of Computer-II

- Organic Chemistry

- Physics-II

- Advanced Calculus-II

- Differential Equations and Integration-II

- Physical Chemistry

- Physics-III

-Physical Chemistry Lab -Physics Lab

B.Sc (General)- Biology Stream

Syllabus

Course - Biology - English

- Fundamentals of Computer

- Inorganic Chemistry

- Physics-I

- Botany-I -

Zoology-I

- Fundamentals of Computer-II

Paper Code BSGN-101 BSGN-102 BSGN-103 BSGN-104 BSGN-105

BSGN-201

BSGN-202 BSGN-203 BSGN-204 BSGN-205

BSGN-301 BSGN-302 BSGN-303 BSGN-304

BSGN-353 BSGN-354

Paper Code BSGN-106 BSGN-102 BSGN-103 BSGN-104 BSGN-105

BSGN-206

BSGN-207 BSGN-203

Paper-IV P a p e r- V YEAR - III

Pa p e r - I Paper - II Paper - III Paper - IV

Lab -I Lab- II

- Organic Chemistry - Physics-II

- Botany-II / Botany Lab

- Zoology-II / Zoology Lab

- Physical Chemistry

- Physics-III

-Physical Chemistry Lab -Physics Lab

BSGN-204 BSGN-205

BSGN-305 BSGN-306 BSGN-303 BSGN-304

BSGN-353 BSGN-354

DETAILED SYLLABUS

YEAR-I

Paper-I

Calculus (BSGN-101)

Unit 1.Functions:Basic properties of R, Absolute value, Intervals on the real line,

Functions (Definition and examples), Inverse functions, Graphs of functions, Operations

on functions. Composite of functions, Even and odd functions, Monotone functions,

Periodic functions.

Unit 2.limits and continuity: Definition of limits, Algebra of limits, Limits of different

category .Continuity (Definitions and Examples, Algebra of continuous functions)

Unit 3.Derivatives: Definition of derivative of a function, Derivatives of some simple

functions, Algebra of derivatives, The chain rule, Continuity versus derivability.

Derivatives of the various trigonometric functions, inverse function. The inverse function

theorem, Derivatives of inverse trigonometric functions, exponential function,

Logarithmic functions, Hyperbolic functions, Inverse hyperbolic functions, derivatives of

implicit function.

Unit 4. : Higher order differentiation: Second and third order derivatives, nth order

derivatives.

Unit 5: Tangent and Normal: Taylor's series and Maclaurin's series Maxima‐minima of

functions (Definitions and examples) Mean value theorems. Equation of tangents and

normal's.

Unit 6. IntegrationDefinite integral, Fundamental theorem of calculus.Standard

integrals, Algebra of integrals, Integration by substitution. Integrals using trigonometric

formulas, Trigonometric and Hyperbolic substitutions. Partial fraction decomposition,

Method of substitution

Paper-II

English (BSGN-102)

UNIT - I

Listening Skills:

1. To enable students to develop their listening skill so that they may appreciate its role

in the LSRW Skills approach to language and improve their pronunciation.

2. To equip students with necessary training in listening so that can comprehend the

speech of people of different

backgrounds and regions.

Students should be given practice in listening to the sounds of the language to be able

to recognise them, to

distinguish between them to mark stress and recognise and use the right intonation in

sentences.

• Listening for general content, Listening to fill up information, Intensive listening,

Listening for specific information UNIT - II Speaking Skills:

1. To make students aware of the role of speaking in English and its contribution to their

success.2. To enable students to express themselves fluently and appropriately in

social and professional contexts. • Oral practice, Describing objects/situations/people

• Role play - Individual/Group activities (Using exercises from all the nine units of the

prescribed text: Learning

English : A Communicative Approach.) • Just A Minute(JAM) Sessions. UNIT -III Reading Skills:

1. To develop an awareness in the students about the significance of silent reading and

comprehension.

2. To develop the ability of students to guess the meanings of words from context and

grasp the overall message

of the text, draw inferences etc.

Skimming the text, Understanding the gist of an argument, identifying the topic

sentence, Inferring lexical and

contextual meaning, Understanding discourse features, recognizing

coherence/sequencing of sentences UNIT - IV Writing Skills: 1. To develop an awareness in the students about writing as an exact and formal skill

2. To equip them with the components of different forms of writing, beginning with the

lower order ones.

Writing sentences, Use of appropriate vocabulary, Paragraph writing, Coherence and

cohesiveness, Narration /

description, Note Making, Formal and informal letter writing, editing a passage Textbooks Prescribed:

1. LEARNING ENGLISH: A Communicative Approach, Hyderabad: Orient Longman,

2006. (Six Selected

Lessons)

2. WINGS OF FIRE: An Autobiography - APJ Abdul Kalam, Abridged version with

Exercises, Universities

Paper-III

Fundamentals of Computer-I (BSGN 103)

UNIT I

Introduction: Classification of computer and generation, Basic architecture of computer

and its building

blocks, Input Devices, Computer memories.

Number System: Binary, Octal, Decimal, and Hexadecimal representation of characters:

ASCII and EBDIC

codes, Binary arithmetic and logic circuit. UNIT II

Classification of Computer language: Machine, Assembly and High level language, Brief

idea of

operating system, Assembler, Compiler and interpreter.

Fundamentals of Computer Programming: Problem solving through computer

algorithms and flow

chart level of programming. UNIT III

Operating System: Introduction to O.S., Types of operating system, Multiprogramming,

Timesharing,

Batch, Real time and UNIX. UNIT IV Internet: Introduction to internet, Components, Services and working on internet. Introduction to protocols, tools

Paper-IV

Inorganic Chemistry (BSGN 104)

Unit -I : (I) Atomic Struture : Idea of de-Broglie matter waves, Heiseliberg uncertainty

principle, atomic orbitals, Schrodinger wave equation; quantum numbers, radial and

angular wave functions and , probability distribution curves, shapes of s, p, d, orbitals,

Aufbau and Pauli exclusion, principles, Hund's multiplicity rule, Electronic configurations

of the elements effective nuclear charge.

(II) Periodic Properties : Atomic and ionic radii, ionization energy, electronaffinity and

electronegativity-definition, trends in periodic table and applications in predicting and

explaining the chemical behaviour.

Unit-II: (III) Chemical Bonding: (A) Covalent Bond-Valence bond theory and its

limitations directional characteristics of covalent bond, various types of hybridization and

shapes of simple inorganic molecules and ions, valence shall electron pair repulsion

(VSEPR) theory , homonuclear and heteronuclear diatomic molecules, bond strength

and bond energy.

(B )Ionic Solids-Ionic structures radius ratio effect and coordination number, limitation of

radius ratio rule, lattice defects semiconductorS, lattice energy and Bron-haber cycle,

(C) Weak Interactions--Hydrogen bonding, Vander Waals forces.

Unit-III.: (IV) s-Biock·Elements : Comparative study, diagonal relationship, salient

features ofhydrides,

(V) Chemistry of Noble Gasses: Chemical properties of the noble gases,dipole moment

and chemistry of xenon,

Unit- (VI) p-Block Elements : Comparative study (including diagonal relationship) of

groups 13-17 elements, compounds like hydrides, oxides, oryacids and halides ofgroup

13-16, hydrides ofboron"diborane and higher boranes, borazine, borohydrides,

fullerenc.es, .carbides, fluorocarbons, silicates (structural principle), tetrasulphur tetra

nitride basic properties of halgoens, interhalogens and polyhalides.

Paper-V

Physics-I (BSGN 105)

UNIT-1 Mechanics of single and systems of particles, conservation laws of

linearmomentum, angular momentum and mechanical energy, centre of mass and equation of motion, degree of freedom.

UNIT-2

Generalised coordinates, displacement, velocity, acceleration, momentum,

force and potential. Hamilton's variation principle, Lagrange's equation of

motion from Hamilton principle,Linear harmonic oscillator, simple pendulum, atwood's machine.

UNIT-3

Rotation of rigid body. Moment of inertia, torque, angular momentum, kinetic

energy of rotation, theorems of moment of inertia( qualitative idea),moment

of inertia of- solid sphere,hollow sphere, spherical shell, solid cylinder, hollow

cylinder, and solid bar of rectangular cross section. Acceleration of a body rollingdown on an inclined plane.

UNIT -4 Motion and rest,

Frame of reference( inertial and non inertiai),Galilion transformations and

invariations of newtons laws,centripetal and centrifugal forces,

transformations of displacement, velocity and acceleration bet. Different frame of refrences.

UNIT-5

Zeroth law of thermodynamics,First law of thermodynamics, work done by and on the system,carnot cycle and its efficiency,carnot theorem and second law of

thermodynamics, practical cycles used in interna combustion engines, third law of thermodynamics.

Paper-VI

Biology (BSGN 106)

Objective: This course aims at acquiring the students with the basics of cell,

composition of cell, different types of cells, function of cell

UNIT 1: Evolution of the Cell; Prokaryotic Structure, Bacteria, Virus Evolution of

Photosynthesis and Aerobic Respiration; Prokaryotes to Eukaryotes; Tissue Culture and

Cinemicrography. Details of Cell Structure and Functions of Cell Organelles.

UNIT 2: Chemical Components of Cell, Isolation and Detection of Cellular

Macromolecules -Methods of Molecular Separation. Types of Bonds, Proteins, Nucleic

Acids, Carbohydrates and Lipids.

UNIT 3: Energy Releasing Pathways; Functional Groups and Common Reactions,

Glycolysis, Tricarboxylic Acid Cycle, Electron Transport Chain, Regulations;

UNIT 4: Replication of DNA, Enzymes involved in DNA Replication; Transcription in

Procaryotes and Eucaryotes, Types of RNA; RNA Processing in

UNIT 5: Cell Cycle - Phase and Events; Determination of Cell Cycle Times. Regulation

of Cell Division, Mitosis. Molecular Theory of Recombination; Differences between

Meiosis and Mitosis.

UNIT 6: Cytokinesis, Distribution of Cytoplasmic Components. Intercellular Recognition and Cell Aggregation

YEAR-II

Paper-I

Advanced Calculus-II (BSGN-201)

Unit -I(8 hrs.)

Partial differential equation of the first order in two independent variables. Formulation

of first order

PDE. Solution of Linear first order PDE (Lagrange‟s method). (6 hrs.)

Integral surfaces passing through a given curve. Surfaces orthogonal to given system of

surfaces. (6 hrs.)

Unit-II (16 hrs.)

Solution of non-linear PDE of first order by Charpit‟s method.

Second order PDE equations, Classification of 2nd order PDE(8 hrs.).

Solution of linear PDE with constant coefficients. Monge‟s method to solve the non-

linear PDE

𝑅𝑟 + 𝑆𝑠 + 𝑇𝑡 = 𝑉 (only). (8 hrs.) Unit-III(16 hrs.)

Power series solution of differential equations and orthogonal functions. Solutions of

Power series

method and its basis. (8 hrs.)

Solution of Bessel and Legendre‟s Equations. Properties of Bessel‟s and Legendre‟s

functions. (8 hrs.)

Unit-IV(16 hrs.)

Basic Theory of Laplace transforms (L.T.) Laplace transform solution of initial value

problem. Shifting

Theorems. Unit step function. Dirac- Delta function. (6 hrs.) Unit -V(10 hrs.)

Differentiation and integration of Laplace transform. Inverse Laplace Transforms,

Inverse Laplace

Shifting Theorem. Differentiation and Integration of Inverse Laplace Transforms.

Convolution Theorem.

(10 hrs.)

Paper-II

Differential Equations and Integration-I (BSGN-202)

Unit 1.Formulation of differential equations, Order and degree of a differential equation,

equations of first order and first degree, solutions of equations in which variables are

separable Unit 2.Equations of the first order and higher degree, Lagrange's equation. Other related terms

Unit 3. . Homogeneous equations, Linear equations and Bernoulli equations, Exact

differential equations, integrating factors, Change of variables.

Unit 4. Linear differential equations with constant coefficient, Complementary function

and particular integral. Particular integral of the forms , sin(ax) cos(ax) . Homogeneous

linear equations.

Unit 5. Linear differential equations of second order, Complete solution in terms of

known integral belonging to the complementary function

Paper-III

Fundamentals of Computer-II (BSGN-203)

Unit - I: Introduction to Computers: Introduction - Types of Computers - Characteristics of Computers - Five generations of modern Computers- Classifications of digital computer

system: Introduction - Microcomputers - Personal Computers - Workstations -

Portable Computers - Minicomputers - Mainframes - Supercomputers - Network Computers. Number system: Introduction - Decimal, Binary, Octal, Hexadecimal number

system - conversion of one to another number systems - Complements number

systems - Signed and Unsigned number representation - Fixed point representation of numbers, Floating - point representation of numbers - Binary Coded Decimal - Gray Code -

Excess -3 Code - ASCII Code - EBCDIC Code. Unit - II: Boolean Algebra and Gate Networks: Fundamentals concepts of Boolean Algebra - Logical Multiplication AND Gates, OR Gates, and Inverters - Evaluation of logical Expressions - Basic Law of Boolean Algebra - Simplication of expressions - De Morgan's theorems - Basic Duality of Boolean Algebra - Derivation of a Boolean Expression - Interconnecting Gates - Sum of products (SOP) and Products of sums (POS) - Derivation of products of sums expressions - Derivation of three Input variable expression - NAND gates and NOR gates. The K-Map method for simplifying expressions - Don't cares. Anatomy of a Digital Computer: Functions and components of a Computer- Register

Addresses - Memory Units: Types of main memory. Input Devices: Keyboard - Mouse

- OCR - OMR - Touch Screen. Output Devices: Printer - Plotter - Auxiliary storage

Devices. Unit - III: Introduction to Microsoft Office - MS Word - Creating and Editing documents - Menus,

Command, Tool bars and Icons - Formatting documents - Creating tables - Mail merge -

Macros.

Unit - IV: MS - Excel: Spread sheet overviews - Worksheet application, Working with excel,

Menus, Tool bars, Icons - Creating worksheet - Editing and Formatting - Excel

formulas and functions - Creating a chart - Sorting and Auto filter.

Unit -V

MS Power Point: Introduction to Power Point - Menus - Tool bars- Text and Formats - Animations Art and Sound - Making and presentation template. Ms Access: Introduction

to data base - Creating table - Editing a tables - Inserting and Deleting data - Sorting

the

data base, Processing Queries Text Books: 1. "Fundamentals of Computer Science and Communication Engineering". Alexis Leon, Mathew's Leon, Vikas Publishing House, New Delhi, 1998. (Unit I & II) 2. "Digital Computer Fundamentals". Thomas C.Bartee, 6th Edition T.M.H

Publisher, New Delhi, 1991.(Unit II) 3. Sanjay Saxena, MS Office 2000 for everyone, Vikas Publishing House Pvt., Ltd.,

Paper-IV

Organic Chemistry (BSGN-204)

OBJECTIVE: It is the goal of Chemistry to train students to think creatively and

independently and to have the knowledge to work as professional scientists in chemistry

and its related fields. Chemistry is an experimental science; thus, our training of

undergraduate student's focuses on both lecture and laboratory work.

Unit-I: Structure and Bonding :

Hybridization, bond lengths and bond angles and bond energy, localized and de

localized chemical bonding, Van der Waals interactions, Clatherates compounds ,

Resonances, Hyperconjugation, Aromaticity, Inductive effect and hydrogen bonding.

Mechanism of Organic Reactions:

Homolytic and Heterolytic bond fission. Types of reagents- electrophiles and

nucleophiles. Types of organic reactions, Energy considerations.

Reactive intermediates- Carbocations, carbanions, free radicals, carbenes, arynes and

nitrenes (with examples).

Alkanes and Cycloalkanes : IUPAC nomenclatute of branched and unbranched

alkanes, the alkyl group, classification of carbon atom in alkanes, Isomerism in alkanes,

methods of formation (with special reference to Wurtz reaction, Kolbe reaction), physical

properties and chemical reactions of alkanes, Mechanism of free radical halogenation of

alkanes : orientation, reactivity and selectivity.

Unit-II: Stereochemistry of Organic Compounds : Concept of Isomerism: Types of isomerism

Optical isomerism - elements of symmetry, molecular chirality, enantiomers, optical

activity, properties of enantiomers, chiral and achiral molecules

Relative and absolute configutation, sequence rules, D & L and R &.S systems of

nomenclatute.

Geometric isomerism : determination of configuration of geometric isomers, E & Z

system of nomenclature, geometric isomerism in oximes and alicyclic compounds.

Conformational isomerism- conformational analysis of ethane and n-butane,

Conformations of cyclohexane,

Unit-III:Alkenes, Cycloalkenes, Dienes and Alkynes:

Nomenclature of alkenes, methods of formation, mechanisms of dehydration of alcohols

and dehydrohalogenation of alkyl, halides, stabilities of alkenes.

Chemical reactions of alkenes- mechanism involved in hydrogenation, electrophilic and

free radical additions, Markownikoffs rule, hydroboration oxidation,

Polymerization of alkenes, Industrial applications of ethylene and propene. Methods of

formation, conformation and chemical reactions of cycloalkenes;

Nomeclature and classification of dienes : isolated, conjugated and cumulated dienes,

Structure of allenes and butadiene, methods of formation, polymerization, chemical

reaction- I ,2 and I, 4, additions, Diels-Alder reaction.

Unit-IV : Arenes and Aromaticity :

Nomenclature of benzene derivatives: The aryl group, Aromatic nucleus and side chain

structure of benzene; molecular formula and Stability and carbon-carbon bond lengths

of benzene, resonance structure.

Aromaticity :The Huckle rule, aromatic ions. Aromatic electrophilc substitution- general

pattern of the mechanism;

Alkyl and Aryl Halides: Nomenclature and classes of alkyl and aryl halides, methods of

formation, chemical reactions, Mechanisms of Nucleophilic substitution reactions of

alkyl halides, SN1 and SN2 Reaction.

Paper-V

Physics-II (BSGN-205)

Unit - I Relativistic Mechanics

Inertial & non-inertial frames, Michelson- Morley experiment, Einsteins postulates,

Lorentz

transformation equations, Length contraction & Time dilation, Addition of velocities;

Variation of mass

with velocity, Mass energy equivalence. Unit - II Modern Physics

Wave Mechanics: Wave- particle duality, de-Broglie matter waves, Phase and Group

velocities,

Davisson-Germer experiment, Heisenberg uncertainty principle and its applications,

Wave function and

its significance, Schrödinger's wave equation - particle in one dimensional potential

box, Eigen values

and Eigen function. Unit - III Wave Optics

Interference: Interference of light, Interference in thin films (parallel and wedge shaped

film), Newton's

rings.

Diffraction: Single, double and N- Slit Diffraction, Diffraction grating, Grating spectra,

dispersive power, Rayleigh's criterion and resolving power of grating.

Polarization: Phenomena of double refraction, Nicol prism, Production and analysis of

plane, circular

and elliptical polarized light, Retardation Plate.

Unit - IV

Modern Optics

Laser: Spontaneous and stimulated emission of radiation, population inversion, concept

of 3 and 4 level

Laser, construction and working of Ruby, He-Ne lasers and laser applications.

Fiber Optics: Fundamental ideas about optical fiber, Propagation mechanism,

Acceptance angle and

cone, Numerical aperture, Single and Multi Mode Fibers Unit-V Holography

Basic Principle of Holography, Construction and reconstruction of Image on hologram

and

applications of holography. Reference Books: 1. Concepts of Modern Physics - Aurthur Beiser (Mc-Graw Hill) 2. Introduction to Special theory of - Robert Resnick - Wielly 3. Optical Fibre & Laser - Anuradha De. ( New Age ) 4. Optics -Aloy Ghatak ( Tata McGraw Hill Education Private Ltd. New Delhi)

5. Optics - Brijlal & Subramanian (S. Chand ) 6. Applied Physics for Engineers- Neeraj Mehta (PHI Learning, New Delhi)

Paper-VI

Botany-I (BSGN-206)

OBJECTIVE: To train students in a wide range of science-based skills that provide the

learning base for future careers in disciplines such as health sciences, agriculture,

environmental management, the emerging biotechnologies, publishing, teaching,

research and management.

Unit I

Centres of diversity of plants, origin of crop plants. Domestication and introduction of

crop plants. Concepts of sustainable development; cultivation, production and uses of -

wheat, rice, legumes, sugarcane

Unit II

A general account of plants yielding oils, spices, beverages. An account of major fiber,

medicinal, petro, plants of Uttar Pradesh.

Unit III

Conservation of plants resources for agriculture and forestry. In situ conservation

santuaries, national parks, biosphere reserves, wetlands, ,mangroves. Exsitu

conservation; botanical gardens, field gene banks, seed banks, cryobanks.

Unit IV

An introductory knowledge to palynology, morphology, viability and germination of

pollens. Classification of data, mean, median and mode. Standard deviation,

standard error, variance, co-relation, X2 test and experimental designs

Paper-VII

Zoology-I (BSGN-207)

OBJECTIVE: To train students in a wide range of science-based skills that provide the

learning base for future careers in disciplines such as health sciences, agriculture,

environmental management, the emerging biotechnologies, publishing, teaching,

research and management.

Unit-I

Animal distribution: Geological and geographical distribution with their characteristic

fauna; fossils.

Unit-II Origin of Life: concept of species (classical & modern concept)

Evolution: Evidences (including physiological and serological); Theories of evolution

(including Neo-Lamarckism, Darwin-Wallace theory of natural selection,

Neo-Darwinism, Modern synthetic theory). Evolution of Man. Mutation Unit-III

Developmental Biology I: Aims and scope of Developmental Biology. Gametogenesis,

Fertilization, Egg: structure and types. Types & patterns of cleavage.

Unit-IV Developmental Biology II: Process of Blastulation & Gastrulation. Fate Map.

Development of Chick up to formation of Primitive streak and mammal (in out line) Extra

embryonic membranes of chick. Placentation and types of Placenta.

YEAR-III

Paper-I

Advanced Calculus-II (BSGN-301)

Unit 1:Functions of several variables, limit and continuity of functions of two variables

Unit 2:Partial differentiation, total differentiability and differentiability, sufficient condition

for

differentiability.

Unit 3:Chain rule for one and two independent parameters, directional derivatives, the

gradient,

maximal and normal property of the gradient, tangent planes

unit 4:Extrema of functions of two variables, method of Lagrange multipliers,

constrained

optimization problems, Definition of vector field, divergence and curl

unit 5:Double integration over rectangular region, double integration over

nonrectangular region

Double integrals in polar co-ordinates, Triple integrals.

Paper-II

Differential Equations and Integration-II (BSGN-302)

Unit I

Series solutions of differential equations- power series method, Frobenius method,

Bessel and Legendre differential equation and their series solution.

Unit II

Partial differential equations of the first order, Lagrange's solutions, Solution of some

standard type of equations, Charpit's general method of solution.

Unit III

Partials differential equations of second and higher orders, Classification of linear partial

differential equations of second order, Homogeneous and non-homogeneous equation

with constant coefficients, Partial differential equations reducible to equations with

constant coefficients, Monge,s method.

Unit IV

Calculus of variations, Variation problems with fixed boundaries, Euler's equation for

functionals containing first order derivatives and one independent variable, Extrema,

Functional dependent on higher order derivatives, Functional dependent on more than

one independent variable, Variational problems in parametric form, Invariance of Euler's

equation under coordinates transformation.

Paper-III

Physical Chemistry (BSGN-303)

OBJECTIVE: It is the goal of Chemistry to train students to think creatively and

independently and to have the knowledge to work as professional scientists in chemistry

and its related fields. Chemistry is an experimental science; thus, our training of

undergraduate student's focuses on both lecture and laboratory work.

Unit-1 : Gaseous States :

1).Postulates of kinetic theory of gases, deviation from ideal behavior, Vander Waals

equation of state.

Molecular velocities : Root mean square, average and most probable velocities,

Qualitative discussion of the Maxwell's distribution of molecular velocities, collision

number, mean free path and collision diameter, liquefaction of gases

2). Liquid State: Intermolecular forces, structure of liquids (a qualitative description)

Structural differences between solids, Liquids· and gases;

Unit-2: Solid States and colloidal states: 1).Determination of space lattice, unit cell;

2).Colloidal States: Definition of colloids; classification of colloids; Solids in liquids

(sols): properties-Kinetic, optical and electrical; stability of colloids Liquids in liquids

(emulsions): types of emulsions preparation, Emulsifier,

Liquids in solids (gels): classification, preparation and properties, general application of

colloids, colloidal electrolytes.

Unit-3: Chemical Kinetics and Catalysis: 1).Chemical kinetics and its scope, rate of a reaction,

Factors influencing the rate of a reaction: Concentration, temperature, pressure,

solvent, light catalyst, -concentration dependence of rates, types of reactions -zero

order, first order, second order, pseudo order, half life and mean life, Determination of

the order of reaction

Theories of chemical kinetics :effect of temperature on rate of reaction, Arrhenius

equations, concept of activation energy.

2).Catalysis characteristics of catalysed reactions classification of catalysis,

homogeneous and heterogeneous catalysis, enzyme catalysis,

UNIT -4 Chemical Equilibrium and conductance of electricity:

1).Equilibrium constant and free energy, Le Chatelier's principle and its applications.

2).Conduction in metals and in electrolyte solutions, specific conductance molar and

equivalent conductance, measurement of equivalent conductance, variation of molar

equivalent and specific conductance with dilution. Migration of ions and Kohlrausch's

Jaw, Arrhenius theory of electrolyte dissociation and its limitations, weak and strong

electrolytes, Ostwald's dilution law its uses and limitations, Debye-Huckel-Onsager's.

Equation for strong electrolytes, Transport number, application of conductance

Paper-IV

Physics-III (BSGN-304)

Unit - I Crystal Structures and X-ray Diffraction:

Space lattice, basis, Unit cell, Lattice parameter, Seven crystal systems and Fourteen

Bravais lattices, Crystal-System Structure, Packing factor (cubic, body and face),

Crystal structure of NaCl and diamond, Lattice planes and Miller Indices, Reciprocal

Lattice, Diffraction of X-rays by crystal, Laue's experiment, Bragg's Law, Bragg's

spectrometer.

Unit-II

Physics of some Technologically important Materials Semiconductors: Band Theory of

Solids, density of states, Fermi-Dirac distribution, free carrier Density (electrons and

holes), conductivity of semiconductors, Position of Fermi level in intrinsic and in extrinsic

semiconductors. Unit -III

Superconductors: Temperature dependence of resistivity in superconducting materials,

Effect of magnetic field (Meissner effect), Temperature dependence of critical field,

Type I and Type II superconductor, BCS theory (Qualitative), High temperature

superconductors

Unit-IV

Current, Equation of continuity, Maxwell's Equations (Integral and Differential Forms),

Poynting theorem and Poynting vectors, EM - Wave equation and its propagation

characteristics in free space,

Unit-V

Study of Nano-Materials:Basic principle of nanoscience and technology, structure,

properties and uses of Fullerene and Carbon nanotubes, Applications of

nanotechnology.

Paper-V

Botany-II / Botany Lab (BSGN-305)

OBJECTIVE: To train students in a wide range of science-based skills that provide the

learning base for future careers in disciplines such as health sciences, agriculture,

environmental management, the emerging biotechnologies, publishing, teaching,

research and management.

Unit - I

Mineral resources of planet earth, Conservation of mineral resources. soils; types,

properties and various problem soils; water; the source of water, physico-chemical and

biological properties of water. Sustainable management of water; energy resources in

India; Forests: global forest wealth, importance of forests, deforestation. Unit - II

Environmental pollution: air, water, soil, radioactive, thermal and noise pollutions, their

sources, effects and control. (Greenhouse effect, ozone depletion and acid rain). CO2

enrichment and climate change.

Unit - III

Biodiversity and Phytogeography: biotic communities and populations, their

characteristics and population dynamics. Natural vegetation of India, static and dynamic

plant geography, basic principles governing geographical distribution of plants,

endemism.

Unit - IV

Etiology of viral, bacterial, fungal and insect-pest diseases: mosaic diseases on

tobacco, and cucumber, yellow vein mosaic of bhindi; citrus canker, potato scab,

little leaf of brinjal; damping off of seedlings late blight of potato, red rot of sugarcane.

Integrated pest disease management

(Practical)

1- Ecology Exercise (Exercise based on Qudrat, Soil properties) 10 Marks 2- Biotechnology exercise (Tissue culture based)/ Biostatistics Exercise 10 Marks 3- Temporary Mount/ Diagram (Pollen grains) 05 Marks

5- Qualitative Test of Carbohydrate, Proteins or Amino acids 07 Marks

6- Identification and comment upon economic use of plant parts 08 Marks 7- Identify and Comment upon spots (1-10) 20 Marks 8- Viva-Voce 05 Marks 9- Practical class record 05 Marks 10-Collection of Model, Chart, Project etc. 05 Marks

Paper-VI

Zoology-II/ Zoology Lab (BSGN-306)

(ZOOLOGY 2)

Applied and Economic Zoology

OBJECTIVE: To train students in a wide range of science-based skills that provide the

learning base for future careers in disciplines such as health sciences, agriculture,

environmental management, the emerging biotechnologies, publishing, teaching,

research and management.

Unit-I Parasitology:

(a) Structure, life cycle, pathogenicity, including diseases, causes, symptoms and

control of the following parasites of domestic animals and humans: Trypanosoma,

Giardia and Wuchereria

Unit-II

Vectors and pests: Life cycle and their control of following pests: Gundhi bug,

Sugarcane leafhopper, Rodents. Termites and Mosquitoes and their control

Unit-III

Animal breeding and culture: Aquaculture, Pisciculture, Poultry, Sericulture,

Apiculture, Lac-culture.

Unit-IV

Wild Life of India: Endangered species. Important sanctuaries; national parks of India;

Different projects launched for the preservation of animal species; in-situ and ex-situ

conservation of wild life.

ZOOLOGY PRACTICAL

Collection and identification of pests.

Life history of silkworm, honeybee and lac insect.

Different types of important edible fishes of India.

Prepared slides of plant nematodes.

Demonstration of counting of cells (blood and protozoan) by

haemocytometer,haemoglobinometer, pH meter, Colorimeter

Microbiological Techniques: Media Preparation and sterilization, inoculationand

Monitoring.

Lab-I

Physical Chemistry Lab (BSGN-353)

I. To determine the specific reaction rate of the hydrolysis of methylacetate/ ethy acetate

catalyzed by hydrogen ions at rooms temperature.

2 To study the effect of acid strenght on the hydrolysis of an ester.

3. To compare the strengths ofHCI and H2S04 by studying the kinetice of hydrolsis of

ethyl acetate.

4). Hydrolysis of methyl acetate catalysed by an acid 5). Hydrolysisof ethyl acetate catalysed by an acid 6). Absorption Of acetic acid on charcoal.

Lab-II

Physics-III Lab (BSGN-354)

List of Experiments Any ten experiments, at least four from each group. 1. To determine the wavelength of monochromatic light by Newton's ring.

2. To determine the wavelength of monochromatic light with the help of Fresnel's

biprism.

3. To determine the focal length of two lenses by nodal slide and locate the position of

cardinal

points. 4. To determine the specific rotation of cane sugar solution using polarimeter. 5. To determine the wavelength of spectral lines using plane transmission grating. 6. To study the polarization of light by simple reflection using laser. 7. Measurement of Wavelength of a laser (He- Ne) light using single slit diffraction. Group - B 8. To determine the specific resistance of a given wire using Carey Foster's bridge.

9. To study the variation of magnetic field along the axis of current carrying - Circular

coil and then to

estimate the radius of the coil. 10. To verify Stefan's Law by electrical method. 11. To calibrate the given ammeter and voltmeter by potentiometer.

12. To study the Hall effect and determine Hall coefficient, carrier density and - mobility

of a given

semiconductor using Hall effect set up. 13. To determine the energy band gap of a given semiconductor material. 14 To determine E.C.E. of copper using Tangent or Helmholtz galvanometer.

15. To draw hysteresis curve of a given sample of ferromagnetic material and from - this

to determine magnetic susceptibility and permeability of the given specimen.