University:Al-Nahrain University
College: Science
Department:Mathematics and Computer applications
Lecturer name:Dr. Ahlam J. Khaleel
Course
Instructor
E_mail
Title
Course Code
Course
Description
Learning
Outcome
Stage: Third
Academic Status:Assistant Professor
Dr. Ahlam Jameel Khaleel
[email protected]
Abstract Algebra (I)
MATH 312
Abstract Algebra (I) is an overview of some of the seminal achievements
in group theory from ancient to modern times. Topics include definitions
and properties of group theory, Cyclic subgroup, normal subgroup,
Quotient group , Homomorphism's, Fundamental theorems, Jordan
Holder theorem and its applications.
1- Definitions and Examples of Groups.
2- Certain Elementary Theorems on Groups.
3- Two Important Groups.
4- Subgroups.
5- Certain Elementary Theorems on Subgroups.
6- Cyclic Subgroups.
7- Product of Subgroups.
Textbook
Introduction to Modern Abstract Algebra, B. Burton , 1967
References
)1( ‫ باسل الهاشمي‬.‫ عادل غسان و د‬.‫ تأليف د‬/‫مقدمة حىل نظرية الزمر‬
(2) Theory of groups by Macdonald, 1965.
(3) Introduction to Modern Abstract Algebra, B. Burton ,1985
Course
Assessment
General
Notes
Term
Tests
30
Laboratory
Quizzes
Assignments
0
5
5
Final
Exam
60
1- The time offered for the subject was not enough to cover the
materials of the first course because many holidays were given during
this course.
2- The students has shown a satisfactory performance and achievements
during this course.
Course weekly Outline
week
1
Topics Covered
Definitions and Examples of Groups
2
Certain Elementary Theorems on Groups
3
Certain Elementary Theorems on Groups
4
Certain Elementary Theorems on Groups
5
Certain Elementary Theorems on Groups
6
7
8
9
10
Two Important Groups
Two Important Groups
Two Important Groups
Subgroups
Certain Elementary Theorems on
Subgroups
Certain Elementary Theorems on
Subgroups
Certain Elementary Theorems on
Subgroups
Cyclic Subgroups
Order of a Finite Group and Order of an
Element Group
Product of Subgroups
11
12
13
14
15
Instructor Signature: Dr. Ahlam Jameel Khaleel
University: AL-Nahrain
College: Sciences
Computer Applications
Stage: Forth year
Lecturer name: IBTISAM KAMIL HANAN
Department: Mathematics and
Academic Status: Lucterer
IBTISAM KAMIL HANAN
Course Instructor
E_mail
[email protected]
Title
Complex Analysis I
Course Coordinator
Course Description
Learning Outcome
Textbook
MATH 411 and
Studying field, sequences, functions, series of complex numbers and
integrals of complex functions
Theory of pure mathematics
Complex Variables and Applications, by Ruel V. Chirchill
References
Course Assessment
Term Tests
40%
General Notes
none
Laboratory
-
Quizzes
-
Assignments
-
Final Exam
60%
Course weekly Outline
week
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Topics Covered
Addition and multiplication of complex numbers, complex
conjugate, absolute value of complex numbers
The space of complex numbers
Definition of connected space, polar form
De Mover's theorem, Euler formula
The n-th root of complex number
Definition of path, path wise connected
Simply connected paths
Convergent sequence, Cauchy sequence
Completeness of the space of complex numbers
Definitions: domain, limit, continuous, derivative, analytic
functions
Cauchy-Riemann equations
Harmonic functions and harmonic conjugate functions
Exponential functions, Logarithmic functions, Trigonometric
functions and Hyperbolic functions
Smooth path, contour path
The line integral, Cauchy-Goursat theorem
Instructor Signature: IBTISAM KAMIL HANAN
Lab. Experiment
Assignments
University: alnahrain
& comp. app.
College: science
Stage: fourth
Lecturer name: Iman Abdulwahab Hussain
Course Instructor
E_mail
Title
Course Code
Course Description
Learning Outcome
Textbook
Department: math.
Academic Status: Ass. Lucterer
Iman Abdulwahab Hussain
Imanbs76_math @yahoo.com
Topology I
MATH 415
The aim of this courses is to provide a fundamental of general topology
Study the theory of topology by using the set theory
An introduction to general topology, by Paul E. Long
An introduction to general topology, by Paul E. Long
References
Course Assessment
General Notes
General topology schaum’s out line series
Term
Laboratory Quizzes Assignments Final Exam
Tests
40%
60%
Course weekly Outline
week
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Topics Covered
Lab. Experiment Assignments
Definition of topological space
Open and closed set
Usual & cofinite topology
Limit point & derived set
Interior and boundary points
Closure of sets
Holiday
Basis and local basis
First exam
Sub basis
Sub spaces
Continuous mappings
Open & closed mapping
Second exam
Homeomorphism
Instructor Signature:
Iman Abdulwahab Hussain
University: alnahrain
mathematics & comp. app.
College: science
Stage: third
Lecturer name: Salam Adel Ahmed
Course Instructor
E_mail
Title
Course Coordinator
Department:
Academic Status: Ass. lecturer
Salam Adel Ahmed
[email protected]
Applied mathematics
MATH 316
Course Description
Solution of order differential equations by series method , special functions,
Fourier series and transform
Learning Outcome
Solution of ordinary differential equation with variable coefficients, fourier
series ,special type of functions
Textbook
References
Course Assessment
General Notes
Fourier series and boundary value problems
Elementary differential equation, by E. D. Rainville and P. E.
Bedeint
‫طرق في الرياضيات التطبيقية تاليف دز باسل يعقوب يوسف‬
Term Tests
Laboratory
Quizzes
Assignments
Final Exam
40
-
-
-
60
none
Course weekly Outline
week
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Topics Covered
Power series solution
Ordinary points and singular points and
solution near an ordinary point
Regular singular points and indicial
equation
Indicial equation with difference of roots
nonintegral
Indicial equation with equal roots
Indicial equation with difference of roots a
positive integer nonlogarithmic case
Holiday
First Exam.
Indicial equation with difference of roots a
positive integer logarithmic case &
Fourier series
Determination of the coefficients of the
fourier series
Fourier sine & cosine series
Fourier transform & Gamma function
Second Exam.
Beta function
Euler equation
Legender Equation
Instructor Signature: Salam Adel Ahmed
Lab. Experiment Assignments