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وحدة ضمان لجودة ا

"إن جــودة العلـوم األساسية هي الضمان للعلـوم اآلخرى"

The Quality of Basic Sciences is the Assurance for Other Sciences Faculty of Science

١

ن جامعه حلوا

آليه العلوم

قسم الرياضيات

برنامج ماجستير الرياضيات البحته

٢٠١٦-٢٠١٧للعام الجامعي

المحتويات:

توصيف البرنامج .١

مصفوفات البرنامج .٢

توصيف المقررات .٣

تقرير البرنامج .٤

تقرير المقررات .٥

مصطفي الجيار/ د : منسق البرنامج

رئيس القسم العلمي

الفصل الدراسي االول

مجدي العدل/ د.م.أ

الفصل الدراسي الثاني

اشرف درويش/ د.م.أ




٢

)١٣(نموذج رقم حلوان: جامعة

العلوم: آلية

الرياضيات: قسم

M.Sc. Program (Pure Mathematics) Program Title Pure Mathematics Department Mathematics

Program Specification for the Academic Year 2016/2017

Program Title Pure Mathematics (M.Sc.)

Award M.Sc. Pure Mathematics

Parent Department Mathematics Department

Programme Nature Single: Double: Multiple:

Teaching Institution Faculty of Science – HU

Awarding Institution Helwan University

Coordinator Dr.Mustafa EL‐gayar

External Evaluator حسن محمد حسن الهواري/ .د.أ

جامعة أسيوط –عميد آلية العلوم

External Examiner Prof.Dr:Ali Kandile




٣

QAA Benchmarking Standards

None

Review Date ١٨/١٢/١٧بتاريخ ٤٤٠مجلس الكلية رقم : آخر إعتماد لتوصيف البرنامج

Date of intake Every year in September or February

Date of Approval بشأن إصدار الالئحة الداخلية ١١/٦/٢٠٠٩بتاريخ ) ١٢٣٤(قرار وزارى رقم

.لمرحلة الدراسات العليا

1-Aims

This Program provides M.Sc graduate students with the skills and techniques needed for

advanced researches in mathematics with the help of computer science.they will have the

ability to use these applications in different fields. We also encourage.M.Sc graduates to

research more about these subjects and how to be used in life.

The M.Sc. graduates of pure mathematics must have the ability to:

1. Provide the M.Sc students with required knowledge to understand concepts and

theories of mathematics and science.

2. Analyze the Mathematical structure problems and solutions techniques in many

researching fields

3. apply mathematical knowledge combined with related topics in building a

mathematical model.

4. Prepare students effectively to doctoral studies in mathematical Sciences to

professional employment in related areas.

5. Encourage general communication skills , teamwork and self -learning.

6. Enhance the Mathematical Thinking and support decision making.




٤

المخرجات التعليمية المستهدفة من البرنامج - 2

2- Intended Learning Outcomes of the Program (ILOs)

المعرفة والفهم - ٢/١

A- Knowledge and Understanding

By the end of this programme M.Sc students should be able to:

A1. Demonstrate the advanced theories of asubstantial area of mathematics.

A2. Understand advanced knowledge, theories, proofs and new solutions

techniques from the scientific papers.

A3. Describe the details of interested research points.

A4. Recognize important of mathematical theorems and lemmmas and their

field of applications.

A5. Identify advanced concepts of mathematical objects

A6. Outline the principles and the basics of quality in professional practice

in the field of Specialization

القدرات الذهنية -٢/٢

B- Intellectual Skills


B1. Develop mathematical knowledge to solve the problems of the

surrounding environment.

B2. Apply logical thinking principles for solving advanced pr blems.

B3. Analyze and use of mathematical knowledge to solve advanced

interested problems.

B4. convert mathematical problems in symbolic form.

B5. Construct mathematical structure for real-world problems.

مهارات مهنية وعملية -٢/٣

C- Professional and Practical Skills




٥


C1. Evaluate research results objectively.

C2. Use accuracy principals for analyzing and presenting the

research results.

C3. Apply rules and techniques of mathematics to solve real world

problems.

C4. Write professional reports.

C5. Use mathematical software to solve mathematic problems.

مهارات عامة - 4/٢

D- General and Transferable Skills


D1. Work effectively as part of a team.

D2. Apply technology to enhance mathematical thinking and

understanding.

D3. Convey the meaning of mathem tics concepts to others

D4. Be acquainted with the ethics of scientific research

D5. Equipped with a certain level to work within atem leadership.

المعايير األآاديمية للبرنامج -٣

3-Academic Reference Standards (ARS):

This program adopts the general Reference Standards for higher education issued by National Authority for Quality Assurance and Accreditation of Education (NAQAAE) followed by the ARS characterization for doctoral program in pure mathematics prepared and approved by the faculty board on the department meeting number 399 dated 19/1/2015 which are listed in the following: 3.1 The Attributes of M.Sc. Program in Mathematics. The graduate of master's program in mathematics should be able to:

1- Gain new knowledge and continually enhance information to improve the understanding and handling issues in one of the different branches of pure mathematics.




٦

2- Analysis the Mathematical structure problems and solutions techniques in many researching fields as: algebra, numerical analysis, functional analysis, and differential equations.

3- Use and apply mathematical knowledge combined with related topics in building a mathematical model.

4- Identify mathematical problems and find their solutions. 5- Show awareness of ongoing problems and visions in modern areas of mathematics. 6- Hold professional values that maintain individuality, positive thinking and self-

learning. 7- Use modern technology effectively and develop his mathematical professional skills. 8- Be a competent, creative, and critical.

3-2 Knowledge and Understanding:

By the end of this study, master's program graduates of pure mathematics must be able to:

A1. Identify advanced theories, fundamentals, specialized knowledge and professional

practice in mathematics.

A2. Review all scientific principles and fundamentals in mathematics.

A3. Demonstrate scientific developments in the area of mathematics.

A4. Explain the specialized subjects in the interested fields.

A5. Classify the interested subjects into research points.

3-3 Intellectual Skills:


B1. Analyze qualitatively and quantitatively science relevant data.

B2. Solve mathematical problems in case of non-availability of some data.

B3. Develop lines of argument and appropriate judgments in accordance with the

scientific theories and concepts.

B4. Postulate and deduce mechanisms and procedures to handle scientific problems.

B5. Construct several related integrated information to confirm, make evidence and test

hypothesis.

3.4 Professional Skills:


C1. Plan and report on the investigated data, using appropriate techniques and

considering scientific guidance.




٧

C2. Apply techniques and tools considering scientific ethics.

C3. Solve problems using a range of formats and approaches.

C4. Identify and criticize the different methods used for preparing, processing,

interpreting and presenting data.

3-5 General and Transition skills:

By the end of the study, master's program graduate of pure mathematics must be able to:

D1. Achieve effective communication in its different forms.

D2. Use of information technology to serve the development of mathematics.

D3. Work in a team, and leading teams in various professional contexts.

D4. Self- and continuous learning in mathematics.

العالمات المرجعية - 4

4- External Reference for Standard (Benchmark)

Not Applied

.هيكل ومكونات البرنامج - 5

5- Curriculum structure and content

البرنامجمدة )أa. Program duration:

Full-time:

Minimum : 4 essential semester

Maximum:10 essential semester

هيكل البرنامج )بb. Program structure:

The program consists of 36 credit hours distributed as follows:

i) Courses (مقررات دراسية): 24 credit hours (66.67%)

-Essential Courses (متطلبات أساسية): 18 credit hours




٨

-Compulsory Courses (مقررات إلزامية): 18 credit hours

Selective Courses (مقررات إنتقائية): 0 credit hours

-Elective Courses (متطلبات إختيارية): 6 credit hours

ii) Thesis (رسالة): 12 credit hours (33.33%)

)فى نظام الساعات المعتمدة(مستويات البرنامج )جc. Program Levels (credit hour's system)

المستوى األول

i) First level

The student should pass 24 credit hours distributed as follows:

Compulsory Courses (مقررات إلزامية): 18 credit hours

Selective Courses (مقررات إنتقائية): 0 credit hours

Elective Courses (مقررات إختيارية): 6 credit hours

المستوى األولii) Second level

Compulsory: 12 credit hours in thesis preparation.




٩

مقررات البرنامج) دd. Program Courses

:إلزامى -أi) Compulsory Courses

Code Course Credit Hours Lecture Semester

141601M Theory of differential equations 3 3 First semester

141602M numerical analysis 3 3 First semester

141603M Functional analysis 3 3 First semester

141608M partial differential equations 3 3 Second semester

141609M Topology 3 3 Second semester

141610M Abstract algebra 3 3 Second semester

141699M Thesis 12 12 Second year

:إختيارى -بiii) Elective Courses

Code Course Credit Hours Lecture Semester

141604M Complex analysis 3 3 First semester 141605M discrete mathematics 3 3 First semester 141606M differential geometry 3 3 First semester

141607M calculus of variations 3 3 First second semester

141611MAdvanced abstract algebra

3 3 Second semester

141612M real analysis 3 3 Second semester

141613M theory of rings 3 3 Second semester

141614M Advanced space geometry

3 3Second semester




١٠

متطلبات اإللتحاق بالبرنامج - 6To be admitted to the mathimatics program, the candidate must hold a Bachelor Degree in mathimatics

with at least Grade (very good) from any Egyptian Universities or any other equivalent and recognized

degree from the Supreme Council of Universities with at least Grade (V.Good) or Higher Learning

Diploma Recognized from Supreme Council of Universities with at least Grade (V.Good).

القواعد المنظمة إلستكمال البرنامج - 77- Regulations for Progression and Program Completion:

To be awarded the Master of Science, the students should:

1- Achieve a total minimum of 36 credit hours with minimum GPA of 2.67, including the completion of

master dissertation.

2- Pass the level of language and computer course successfully in accordance with the rules prescribed

by University Council.

3- Have at least one paper extracted from the thesis and accepted for publication in one of the reference

periodicals.

وقواعد تقييم الملتحقين بالبرنامجطرق - 88- Assessment of Program Intended Learning Outcomes

Tool or method ILOs

1- Written A1,A2,A3,B2,B4,B5

2- Student activity (seminars and scientific reports). D1,D2,D5

3- Thesis A1,A2,A3,A4,A5, B1,B2,B3,B4,B5, C1,C2,C3,C4,C5, ,D2,D3,D4,D5,

4- Published papers B1,B2,B3,B4,B5, C1,C2,C3,C4,C5, ,D2,D3,D4,D5,




١١

طرق تقيم البرنامج-٩ 9- Program Evaluation Method

Evaluator Method Sample nature

1- Senior Students Questionnaire None

2- Alumni Questionnaire None

3- Stakeholders (Employers) Personal Interview None

4- External Evaluator(s)

review

حسن محمد حسن الهواري/ .د.أ

جامعة أسيوط –عميد آلية العلوم

5-External Examiner(s) review Prof.Dr:Ali Kandile

5- Academic Staff Interview None

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√

√

حدةو

ض جو

ال

√

1 in h o 2 a f a 3 c m 4 s

يجخر

جي

1-G

ain

new

kno

nfor

mat

ion

to i

hand

ling

issu

esof

pur

e m

athe

m

2-An

alys

is t

he M

and

solu

tions

te

field

s as

: al

geb

anal

ysis

, and

di

3-U

se a

nd a

pply

com

bine

d w

ith

mat

hem

atic

al m

4-Id

entif

y m

ath

solu

tions

.

Faculty

of S

ل قاب

لخاتاصفوام

جريخال

ت فاص

owle

dge

and

coim

prov

e th

e un

s in

one

of

the

dm

atic

s.

Mat

hem

atic

al s

echn

ique

s in

mra

, num

eric

al a

iffer

entia

l equ

a

y m

athe

mat

ica

rela

ted

topi

cs

mod

el.

hem

atic

al p

robl

The Qu

Science تهبح الات

مق

ي ف

صوا م

ontin

ually

enh

and

erst

andi

ng a

ndi

ffer

ent

bran

c

stru

ctur

e pr

oble

man

y re

sear

chin

anal

ysis

, fun

ctio

atio

ns.

al k

now

ledg

e in

bui

ldin

g a

ems

and

find

tuality of Basic Scie )4(ة

ضياريا اليرستج

Know

Und

eA1

A2A

ance

nd

ch

es

√

ems

ng

onal

√

√ √

thei

r

√


"

ences is the

Assu

١٩فة فوصم

ةاج ممجرنان بم

Pro

gra

wle

dge

and

erst

andi

ng

A3A4

A5A6

B

√

√

√

√ √

√

√

√


rance for Other S

فةهدستالم

ت اراه

amm

e in

ten

ded

le

Inte

lle

ctu

al

B1

B2B3

B4B5

√

√

√

√

√

√

√

انضم

دة و

"دةاــونجإ

Sciences

هاالم

و ف ارمعل

earn

ing

outc

omes

Pra

ctic

al

5C1

C2C3

C4

√

√

√ √

√

حدةو

ض جو

ال

ة اوفصفم

s IL

Os

Tra

nsf

e

C5D

1D

2D

3

√

rab

le

D4

D5

5 v 6 in 7 d 8 5-Sh

ow a

war

envi

sion

s in

mod

e

6-H

old

prof

essi

ond

ivid

ualit

y, p

o7-

Use

mod

ern

tde

velo

p hi

s m

at8-

Be a

com

pete

Faculty

of S

ness

of

ongo

ing

ern

area

s of

ma

onal

val

ues

tha

ositi

ve t

hink

ing

tech

nolo

gy e

ffe

them

atic

al p

rof

ent,

cre

ativ

e, a

The Qu

Science

g pr

oble

ms

and

athe

mat

ics.

at m

aint

ain

and

self-

lear

nec

tivel

y an

d fe

ssio

nal s

kills

.nd

crit

ical

.


d

√

ing.

.


"

ences is the

Assu

٢٠ √

√ √

√


rance for Other S

√

√

√ √

انضم

دة و

"دةاــونجإ

Sciences

√

حدةو

ض جو

ال

√

√

√

√

√

√

V U o b m M g n u a q M

يةلكل

Vis

i

Vis

ion:

The

Fac

Uni

vers

ity a

spir

offe

ring

of e

duc

basi

c sc

ienc

e, a

mod

ern

tech

no

Mis

sion

(A):

pre

grad

uate

, who

ina

tiona

l and

reg

uniq

ue a

cade

man

d ap

plie

d sc

iqu

ality

sta

ndar

d

Mis

sion

(B)

: th

e

Faculty

of S

الفهداو أ

ة سال ر

ion,

Mis

sion

an

culty

of S

cien

cere

s to

ach

ieve

ca

tiona

l ser

vice

appl

ied

scie

ntif

logy

.

epar

e a

scie

ntif

is a

ble

to c

omp

gion

al w

ork

ma

mic

pro

gram

s in

ence

s, a

ccor

dids

.

e Fa

culty

aim

s

The Qu

Science

ويةرؤ

ل قاب مفي

nd g

oals

e, H

elw

an

exce

llenc

e in

tes

in th

e fie

ld o

fic re

sear

ch a

n

fical

ly d

istin

gui

pete

on

the

lev

arke

t via

offe

rinn

the

field

of b

ain

g to

the

natio

to p

rodu

ce

uality of Basic Scie )5(ة

تهبح الاتضيريال

ف

Know

Und

eA1

A2A

he

of

nd

√ √

shed

el

of

ng

sic

onal

√

√

√


"

ences is the

Assu

٢١

فةفوصم

لرر استي

اج ممجرنا

Pro

gra

wle

dge

and

erst

andi

ng

A3A4

A5A6

B

√ √

√

√ √

√

√

√ √


rance for Other S ت

فةهدستالم

برن م

amm

e in

ten

ded

le

Inte

lle

ctu

al

B1

B2B3

B4B5

√ √

√ √

√

√ √

√ √

√

√ √

√√

√

انضم

دة و

"دةاــونجإ

Sciences

اتارمه ال وفارمع

earn

ing

ou

tcom

es

Pra

ctic

al

5C1

C2C3

C4

√

√√

√

√ √

√ √

√

√√

√√

حدةو

ض جو

ال المة وفصفم

s IL

Os

Tra

nsf

e

C5D

1D

2D

3

√√

√

√ √

√ √

√√

√√

rab

le

D4

D5

√ √

√ √

√√

s c t p n G e s c G b fi w G im G a G s th oscie

ntifi

c re

sear

cons

truc

tion

of

echn

olo g

ical

da

part

icip

ate

in s

ena

tiona

lly a

nd r

Goa

l 1:

Crea

ting

envi

ronm

ent

cest

uden

t pe

rson

acu

ltura

lly.

Goa

l 2: C

reat

inbo

th a

cade

mic

aie

lds

of s

cien

cew

ith th

e ne

eds

Goa

l 3: c

ontin

um

prov

emen

t of

Goa

l 4: I

mpr

ovi

achi

eve

high

im

Goa

l 5: A

ccom

psa

tisfa

ctio

n of

the

civ

il so

ciet

yof

fere

d by

the

f

Faculty

of S

rch

and

stud

ies

adva

nced

res

eat

a ba

se, a

nd t

ervi

ng a

nd im

pre

gion

ally

g

a ty

pica

l lea

ren

tere

d ba

sica

lal

ity, s

cien

tific

a

g a

high

ly c

omal

ly a

nd p

rofe

se

and

tech

nolo

of th

e w

ork

ma

ous

deve

lopm

ef t

he e

duca

tion

ing

the

post

gra

mpa

ct s

cien

tific

plis

hing

con

fide

he b

enef

icia

riey

thro

ugh

the

acfa

culty

The Qu

Science

s fo

r th

e ea

rch

and

thus

act

ivel

y pr

ovin

g th

e so

c

rnin

g an

d te

ach

ly t

o bu

ild t

he

ally

, soc

ially

an

mpe

titiv

e in

stitu

tsi

onal

ly in

the

ogy

in c

onsi

sten

arke

t.

ent a

nd

nal e

ffect

iven

es

adua

te s

tudi

es

rese

arch

.

ence

and

es

/sta

keho

lder

sca

dem

ic s

ervi

cuality of Basic Scie

iety

hing

nd

√ √

√

te

nce

ss.

√ √

√

to

√

s of

ce

s


"

ences is the

Assu

٢٢ √

√ √

√ √

√

√

√ √

√

ضم يالةهسيسااألومعلـال

rance for Other S

√ √

√ √

√

√ √

√ √

√

انضم

دة و

"دةاــونجإ

Sciences

√ √

√ √

√ √

√ √

√ √

√ √

√ √

√ √

حدةو

ض جو

ال √

√ √

√ √

√ √

√

√ √

√ √

√ √

√ √

√ √

√ √

√ √

√ √

G im c im eGoa

l 6: M

axim

izm

prov

ing

the

aca

pabi

litie

s o

f tm

prov

e th

e w

oen

hanc

e th

e so

Faculty

of S

zing

the

econ

oac

adem

ic a

nd

the

facu

lty th

ator

k/re

sear

ch e

noc

ial w

elfa

re

The Qu

Science

omic

out

com

e a

rese

arch

t c

ontri

bute

to

nviro

nmen

t andua

lity of Basic Scie

and

d


"

ences is the

Assu

٢٣

ضم يالةهسيسااألومعلـال

rance for Other S

انضم

دة و

"دةاــونجإ

Sciences

√ √

√ √

حدةو

ض جو

ال √ √

√ √

√ √

Cou

rse

code

1416

01

T D E

1416

02

N a

1416

03

F a

1416

08

P D E

1416

09

T

يةاسر

Titl

e

Theo

ry o

f D

iffe

rent

ial

Equa

tions

Num

eric

al

anal

ysis

Func

tiona

l an

alys

is

Part

ial

Dif

fere

ntia

l Eq

uatio

ns

Topo

logy

Faculty

of S

لال

در الاتررمق

Lec

turi

ng

D a

√ √

√

√ √

√

√

The Qu

Science

بلمقا

ي ه فحتالب

Dis

cuss

ions

an

d gr

oup

activ

ities

R P √ uality of Basic Scie )6(

اتضيريا اليرست

٢٠١

تهبح التضيا

ريار تي

Rep

orts

and

Pr

esen

tatio

nsS √ √ √ √


"

ences is the

Assu

٢٤ة وفصفم

) جس مامجرناي ب

٢٠١٥

/٦ي ف

ي ف

ستاج ممجرناب

Prob

lem

So

lvin

g in

tu

tori

al

hour

s

Co as pr

√√

√ √

√ √

√


rance for Other S

اة تبنالم

لم لتع

في ة فبنامت العلمالت

و يم ل

mpu

ter

ssis

ted

oble

ms

Web

base

sear

c

√ √

انضم

دة و

"دةاــونجإ

Sciences

و ايم تعل اليبسال

تعل اليبسال أ

b- ed

ch

Lab

orat

orex

peri

men

t

√ √ √

حدةو

ض جو

ال ة وفصفم

أس ry ts

Qui

z du

ring

le

ctur

esle

√ √

√

√

√

Self-

earn

ing

√ √ √

1416

10

A A

1416

99

T

1416

05

D M

1416

13

T RAbs

trac

t A

lgeb

ra

Thes

is

Dis

cret

e M

athe

mat

ics

Theo

ry o

f R

ings

Faculty

of S

√

√ √

√ √

√ √

The Qu

Science

√ √ √uality of Basic Scie √


"

ences is the

Assu

٢٥

√ √


rance for Other S

√

انضم

دة و

"دةاــونجإ

Sciences √ √

حدةو

ض جو

ال

√ √

√

الل ت ررامق

ودالك

ررمق

1416

01

The

Diffe

Equ

1416

02

Nu m an

1416

03

Fun c

Faculty

of S

تهح

ي ف

بلمقا م اأس

مقل

Prac ca

lEx

a

eory of

eren

tial

uation

s

merical

alysis

ctiona

l

The Qu

Science

بح الاتضييا

cti

l m

Ora

l Ex

am

F wr E

√ √ √

uality of Basic Scie )٧(

ري اليرستاجم ٢ /

٢٠١٦

ته بح الاتضييا

Fina

l rit

ten

Exam

Writ

teTe

sts

(Qui

zze

√ √

√ √

√ √


"

ences is the

Assu

٢٦فة فوصم

في

ممجرناب يةاسر

٢٠١٥

رير ستي

اج ممجرنا

n s es)

Pres

enta

t


rance for Other S

ناةمتب الالب

طدرال ي ة فبنامت الالب

برC

ours

e

tions

So

lvin

Prob

lem

√

انضم

دة و

"دةاــونجإ

Sciences

طال الويم تقيب أ

وي تقيبسال

مطالال

e W

ork

ng

ms

Smal

l G

roup

A

ctiv

ities

√ √ √

حدةو

ض جو

ال

فةفوص

يبسالأ

Port

folio

E W

صم Es

say

Writ

ing

an

1416

08

PaDiffe

Equ

1416

09

Top

1416

10

Ab Al g

1416

99

Th

1416

05

Di s

Math

1416

13

Theo

ry

Faculty

of S

alysis

artial

eren

tial

uation

s

pology

√

stract

gebra

hesis

screte

hematics

y of Rings

The Qu

Science

√

√ √

√ √

√ √

√ √

√


√

√ √

√ √


"

ences is the

Assu

٢٧

√


rance for Other S

√

انضم

دة و

"دةاــونجإ

Sciences

√

√

√

حدةو

ض جو

ال

√ √

√

مجرنا

بر الفهدا ا

Faculty

of S

٢ /٢٠١٦

1-G

ain

new

kn

owle

dge

and

cont

inua

lly

enha

nce

info

rmat

ion

to im

prov

e th

e un

ders

tand

i ng

and

hand

ling

issu

es in

on e

of t

he

diff

eren

t br

anch

es o

f pu

re

mat

hem

atic

s.

The Qu

Science

يجخر الات

٢٠١٥

n e s

2-An

alys

is t

hM

athe

mat

ica

stru

ctur

e pr

oble

ms

a nso

lutio

ns

tech

niqu

es i n

man

y re

sear

chin

g fie

lds

as:

alge

bra,

nu

mer

ical

an

alys

is,

func

tiona

l an

alys

is, an

ddi

ffer

entia

l eq

uatio

ns.

uality of Basic Scie )8(

صفاوا مبلمقا

ي ف

he

al d n d

3-U

se a

nd a

pm

athe

mat

ica

know

ledg

e co

mbi

ned

wi

rela

ted

topi

cbu

ildin

g a

mat

hem

atic

am

odel

.


"

ences is the

Assu

٢٨فة فوصم

ه فحتالب

ت ضيا

ريال

يجخر الاتصف

pply

al

ith

s in

al

4-Id

entif

y m

athe

mat

ipr

oble

ms a

find

thei

r so

lutio

ns.


rance for Other S

اليرستاج ممجرنا

صوا م

cal

and

5-Sh

ow

awar

ene s

ongo

ing

prob

lem

s

visi

ons i

n

mod

ern

a

mat

hem

a

انضم

دة و

"دةاــونجإ

Sciences

فةفوصم

برف هداأ

ss o

f

s and

n area

s of

atic

s

6-H

old

prof

ess

valu

es

mai

nta

indi

vid

posi

tivth

inki

nse

lf-le

aحدةو

ض جو

ال

م d sion

al

that

ai

n du

ality

, ve

ng

and

ar

ning

.

7-U

se

mod

ern

tech

nol

effe

ctiv

and

deve

lop

mat

hem

al

prof

ess

l ski

lls.

n logy

ve

ly

p hi

s m

atic

iona

8-B

e a

com

pete

n tcr

eativ

e,

and

criti

c at, al.

1.

Prov

ide

the

requ

ired

kn

unde

rsta

nd

theo

ries o

f

and

scie

nce

2.

Ana

lysi

s t

stru

ctur

e p

solu

tions

t

man

y re

se

as: a

lgeb

ra

anal

ysis

, f

anal

ysis

, a

equa

tions

.

3.

Dem

onst

ra

deve

lopm

e

of m

athe

me st

uden

ts w

ith

now

ledg

e to

d co

ncep

ts a

nd

f m

athe

mat

ics

e.

the

Mat

hem

atic

a

prob

lem

s and

tech

niqu

es in

earc

hing

fiel

ds

a, n

umer

ical

func

tiona

l

and

diff

eren

tial

. ate

scie

ntifi

c

ents

in th

e ar

ea

mat

ics.

Faculty

of S

√

al

√

The Qu

Science

√

√


√ √


"

ences is the

Assu

٢٩

√ √

√


rance for Other S √ √

انضم

دة و

"دةاــونجإ

Sciences

حدةو

ض جو

ال

√

√

√

4.

Expl

ain

th

subj

ect i

n

field

.

5.

App

ly k

no

mat

hem

ati

to th

e so

lu

prob

lem

s.

6.

Use

theo

ri

mat

hem

ati

resu

lts.

he sp

ecia

lized

the

inte

rest

ed

owle

dge

of

ics a

nd sc

ienc

e

utio

n of

life

ies o

f

ics t

o in

terp

ret

Faculty

of S

.

The Qu

Science √

√


√

√


"

ences is the

Assu

٣٠

√

√


rance for Other S √

√

انضم

دة و

"دةاــونجإ

Sciences

√

حدةو

ض جو

ال

√

√

1 1 1

ترا

C

ours

e co

de

4160

1 Th

eoEq

ua

4160

2 N

um

4160

3 Fu

nc

Faculty

of S

ع ا متهح

ررمقل Titl

e

ory

of D

iffe

rent

atio

ns

mer

ical

ana

lysi

s

ctio

nal a

naly

sis

The Qu

Science

بحت ضيا

ريا

Kno

wle

dge

Und

erst

and

A1

A2

tial

√

√

√

uality of Basic Scie )٩(

ر ستياج ممج

and

di

ng

A3

A4

A5

B

√

√

√


"

ences is the

Assu

٣١فة فوصم

یةيمادك

امرنلب In

tell

ectu

1B

2 B

3 B

4

√

√

√


rance for Other S

ألكر اایيمع الة

AR

S IL

Os

al

4 B

5B

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