Syllabus

Department of Applied Mathematics

Applied Mathematics Courses

The department offers two main programs for its students, namely, B.Sc. (Honors) in mathematics and B.Sc. (Honors) Joint subjects in mathematics and computer sciences. In the following we provide information about the offered courses.

Academic year

Course code

Course name

Credit hours

First year

101A

Calculus I

4(3+1)

102A

Calculus II

4(3+1)

103A

Vectors & Mechanics

3(2+1)

Second year

201A

Ordinary differential equations & applications I

3(2+1)

202A

Ordinary differential equations & applications II

3(2+1)

203A

Vectors analysis

4(3+1)

Third year

301A

Complex variables I

3(2+1)

302A

Complex variables II

3(2+1)

303A

Special functions & Mathematical methods

3(2+1)

Fourth & Fifth year

401A

Partial Differential Equations

3(2+1)

402A

Special Relativity theory

3(2+1)

403A

Compressible flow

3(2+1)

404A

Incompressible flow

3(2+1)

405A

Magnetic fluid mechanics

3(2+1)

406A

Waves

3(2+1)

407A

Electromagnetic Theorem I

3(2+1)

408A

Electromagnetic Theorem II

3(2+1)

409A

Variation Calculus

3(2+1)

410A

Advanced Mathematical Methods

3(2+1)

411A

Numerical solution for simple differential Equations

3(2+1)

412A

Numerical solution for Partial differential Equations

4(4+0)

413A

Approximation of Functions

2(2+0)

414A

Eigen value Problem

2(2+0)

415A

Maximum value problem of several variables function

4(4+0)

416A

General Relativity Theory

4(3+1)

417A

Quantitative Mechanics I

4(3+1)

418A

Quantitative Mechanics II

4(3+1)

419A

Dynamic Heat & Statistical mechanics principles

4(3+1)

420A

Analytical mechanics

4(3+1)

421A

Selected Topics in applied mathematics

4(3+1)

422A

Research project in applied mathematics

4(3+1)


Department of Pure Mathematics

The department of pure mathematics offers a variety of courses in pure mathematics. The list of courses which we offer is distributed in 5 years in a course unit system as follows:

Academic  year

Course code

Course name

Number of units

First year

P101

Basic mathematics

4(1+3)

P102

Algebra and Geometry

5(3+2)

Second year

P201

Linear algebra

4(3+1)

P202

Real analysis (1)

4(3+1)

Third year

P301

Real analysis (2)

3(2+1)

P302

Algebric structure

3(2+1)

P303

Combinatorial analysis

3(2+1)

P304

Introduction to topology

3(2+1)

Fourth + Fifth year

P402

Number theory

3(2+1)

P401

Topology

3(2+1)

P403

Introduction to graph theory

3(2+1)

P404

Rings and modules

3(2+1)

P405

Advanced calculus

3(2+1)

P406

Measure theory (1)

3(2+1)

P407

Functional analysis (1)

3(2+1)

P408

Introduction to algebric topology

3(2+1)

P409

Galwa theory

3(2+1)

P410

Measure theory and integration

3(2+1)

P411

Functional analysis (2)

3(2+1)

P412

Differential Geometry

3(2+1)

P413

Fractals Geometry

3(2+1)

P414

Group theory

3(2+1)

P415

Stochastic analysis

3(2+1)

+Selected topics in pure mathematics

3 -> 6

+Research project in pure mathematics

4(4+0)


Department of Statistics

level

Symbol

Subject name

First

S 101

Elements of Arthimetic

S 102

Introduction of Probability & Statistics

Second

S 201

Probability and  Statistics

S 202

Elementary Statistics

S 203

Multivariable Function

Third

S 301

Least Squares

S 302

Practical Statistics

S 303

Statistical Method

Fourth & Fifth

S 304

Operation Researsh  I

S 401

Introduction to Random Processes I

S 402

Sampling Techniques

S 403

Statistical Inference

S 404

Processorsprobability

S 405

Probability Theory

S 406

الطرق البيزية

S 407

نظرية المأمونية

S 408

Applied Statistics I

S 409

Applied Statistics II (STATA)

S 410

Design & Analysis of Experiments

S 411

Operation Researsh  II

S 412

نظرية الألعاب

S 413

Researsh Methedology

S 414

Linear Models                       

S 415

Time series

S 416

Survival Analysis

S 417

Measurementand Evaluation

S 418

AppliedRegression

S 419

Introduction to Data mining

S 499

Project in Statistic


Department of Computer Science

Taught courses during the five years and their credit hours (the courses taught by the Computer Sciences Department)

For the 1st year all departments except IT Department:

101

Computer Science fundamentals I

2

102

Discrete Mathematics I

2

103

Computer Science fundamentals II

4

For the 2nd  year all departments except IT Department:

201

Discrete Mathematics II

3

202

Numerical Computation

3

203

Algorithms & data structure

3

For the 3rd  year all departments except IT Department:

301

Programming Methodologies

3

303

Systems Analysis and design

3

304

File system management

2

For the 4th and 5th year all departments except IT Department:

401

Concepts of Programming Languages

4

402

Computer Commercial Application

4

403

Computer architecture

4

404

Assembly Language

4

405

Operating Systems

4

406

Files and Databases

4

407

Compiler Design

4

408

Micro Computer Architecture

4

409

Programming Language: Theories, Structure & Comparison

4

410

Object Oriented Programming Language

4

411

Advanced Database

4

412

Advanced Algorithms & Data Structure

4

413

System Programming

4

414

Computer System Performance

4

415

Computer Networks

4

416

Artificial Intelligence & Expert  Systems

4

417

Robotics

4

418

Computer Graphics

4

419

Accounting

4

420

Software Engineering

4

421

Management Information Systems

4

422

Computer Science Theory

4

423

Analysis and Design of Algorithms

4

424

Methods & Information Systems Development

4

425

Parallel Processing Devices

4

426

Simulation and Modeling

4

430

Neural  Networks

4

431

Mobile Networks

4

432

Logical circuits Design

4

433

Human & Computer Interaction

4

434

Multimedia

4


Department Information Technology

Taught Courses During the five years and their credit hours (the courses taught by the Computer Sciences Department)

Semester one

C. hours

Semester two

C. hours

First year:

Fundamentals of computer science

3

Programming Fundamentals (1)

3

Discrete mathematics

3

Algebra and Geometry

3

Fundamentals of calculus

3

An Introduction to Accounting

3

Fundamentals of Economic (1)

2

Fundamentals of general physics

2

Islamic studies (1)

3

English language (2)

2

English language (1)

2

Arabic language (1)

3

Sudanese studies

3

Computer environment and hardware

3

Total

19

Total

19

Second year:

Information’s new technologies

3

File management

3

Data structures

3

Programming Fundamentals (2)

3

Basic statistics and probability

3

Computer applications in business (1)

3

Fundamentals of Economic (2)

2

System analysis and design

3

Islamic studies (2)

3

Fundamentals of electronic systems

2

Arabic language (2)

3

Fundamentals of Management

2

English Language (2)

2

Total

17

Total

18

Third year:

Human-Computer interaction

3

Marketing fundamentals

2

Algorithms analysis and design

3

Computer networks and communications (1)

3

Management economics

2

Practical statistics

3

Commercial programming (1)

3

Computer applications in business (2)

3

Operational research (1)

3

Databases

3

Communication skills

3

Feasibility study And evaluation of projects

3

17

17

Fourth year:

Economics modeling and prediction

3

Security systems

3

Software engineering (1)

3

Computational systems for decision-making

3

Simulation and modeling

3

Computer networks and communications (2)

3

Operating systems

3

Operation research (2)

3

Commercial programming (2)

3

Management information systems

3

Total

15

Total

15

Fifth year:

Artificial intelligence

3

Internet advanced technologies

3

Software engineering (2)

3

Ethical, professional and social issues

3

Financial Organizations

3

Optional subject (2)

3

Optional subject (1)

3

Optional subject (3)

3

Project

3

Project (Continuation)

3

Total

15

Total

15