Faculty of Basic Sciences

Department of Mathmetical Sciences
Introduction
The Department of Mathematical Sciences was established in 2003. The department provides instructional support to all the faculties of the
University in teaching of courses pertaining to Mathematical sciences. The department also offers its own graduate and undergraduate programs
leading to MS (Mathematics) and BS (Mathematics) degrees. These programs are carefully designed with thoughtful selection of courses from applied,
pure, financial, and computational domains of mathematics in the light of guidelines provided by HEC.
Vision
Our vision is to be among the leading Mathematics departments of the country, which provides quality education in Mathematics and is
center of active and innovative research.
Mission
The department aspires to promote understanding of Mathematics by means of instruction and research and inculcate in students attributes
of logical and critical thinking.
Aims and Objectives
The Department of Mathematical Sciences aims to:
• Train students in solving complex mathematical problems
• Create knowledge through intensive research activity
• Provide instructional support to other departments of the University
• Develop human resource equipped with skills to resolve complex issues in engineering; humanities; social, natural, basic and other sciences
• Train students to appreciate the higher level of abstraction
• Develop capacity of mathematical thinking of students
• Liaison with other schools of Mathematics for sharing of knowledge and ideas
• Keep abreast with latest developments in Mathematics and update curricula accordingly
• Instill in students a spirit to excel in Mathematics, demonstrate innovation and originality, and contribute for welfare of society
• Produce proficient mathematicians having conceptual clarity and ability to express their thoughts and ideas in logical and coherent manner.
Scope
The Department of Mathematics is established for providing education in Mathematical sciences to students hailing from Balochistan in particular and from other parts of
Pakistan in general. Admission to foreign students is also offered on limited seats. The Department offers programs in various specializations which
include pure, applied, computational and financial Mathematics. Academia and students frequently participate in national, regional and international
conferences. The research interests of the Department of Mathematical Sciences at BUITEMS range from abstract to practical aspects of the discipline.
Building on our current strength, our goal, in the department, is to strengthen areas related to Pure and Applied Mathematics. We believe that it will
help students keep pace with latest trends in mathematics on the one hand and contribute to society at large on the other.
Admission Criteria
BS Admission:
Intermediate with Mathematics from any recognized board or equivalent with at least 45% marks and entry test conducted by NTS.
MS Admission:
16 years education from any HEC recognized institution in Mathematics and entry test conducted by NTS.
Brochures
BS Mathematics
MS Mathematics
Contacts
Syed Hasrat Hussain Shah
Incharge Chairperson (Mathematics)
UAN: 081111717111, Ext: 925
hasrat.hussain [@] buitms.edu.pk

Courses for BS (Mathematics)
S.No. 
Subject Area 
Course Catalog 
Course Title 
Credit Hours 
Prerequisites 
SemesterI 
1 
MATH 
MATHP167 
Calculus I 
4+0 

2 
MATH 
MATHP251 
Elements of Set Theory and Mathematical Logic 
3+0 

3 
HUM 
HUM191 /112 
Islamic Education/ Ethics 
2+0 

4 
CS 
CS101/101L 
Introduction to Computers 
2+1 

5 
HUM 
HUM164 
English I (Functional English) 
3+0 

6 
EVIRON 
ENVIRON102 
Environmental sciences 
3+0 

Total 
17+1 = 18 

SemesterII 
1 
MATH 
MATHP267 
Calculus II 
3+0 
MATHP167 
2 
SE 
SE171 
Introduction to MATLAB or Maple 
1+2 

3 
MATH 
MATHP201 
Introduction to Statistics 
3+0 

4 
HUM 
HUM261 
English II (Communication Skills) 
3+0 

5 
HUM 
HUM102 
Pakistan Studies 
2+0 

6 
HUM 
HUM104 
Introduction to Sociology 
3+0 

Total 
15+2=17 

SemesterIII 
1 
MATH 
MATHP311 
Algebra I (Group Theory) 
3+0 

2 
MATH 
MATHP268 
Calculus III 
4+0 
MATHP251 
3 
HUM 
HUM362 
English III ( Technical Report Writing and Presentation Skills) 
3+0 
MATHP267 
4 
MATH 
MATHP111 
Linear Algebra 
2+1 

5 
HUM 
HUM136 
Introduction to Psychology 
3+0 

Total 
15+1=16 

SemesterIV 
1 
MATH 
MATHP231 
Affine and Euclidean Geometry 
3+0 
MATHP167 
2 
MATH 
MATHA334 
Computational Linear Algebra 
2+1 

3 
MATH 
MATHA23 
Discrete Mathematics 
3+0 

4 
MATH 
MATHP271 
Numerical Methods 
3+1 
MATHP267 
5 
ECON 
ECON106 
Principles of Economics 
3+0 

Total 
14+2 = 16 

SemesterV 
1 
MATH 
MATHP341 
Point Set Topology 
3+0 

2 
MATH 
MATHA345 
Classical Mechanics 
3+0 

3 
MATH 
MATHA274 
Ordinary Differential Equations 
3+0 
MATHP167 
4 
MATH 
MATHP369 
Real Analysis I 
3+0 
MATHP267 
5 
MATH 
MATHP312 
Algebra II (Rings and Fields) 
3+0 
MATHP311 
Total 
15+0 =15 

SemesterVI 
1 
MATH 
MATHP331 
Differential Geometry 
3+0 
MATHP167 
2 
MATH 
MATHP479 
Partial Differential Equations 
3+0 
MATHP274 
3 
MATH 
MATHP373 
Numerical Analysis 
3+1 
MATHP271 
4 
MATH 
MATHP269 
Complex Analysis 
3+0 

5 
MATH 
MATHP367 
rear Analysis II 
3+0 
MATHP369 
Total 
15+1=16 

SemesterVII 
1 
MATH 
MATHP426 
Number Theory 
3+0 

2 
MATH 
MATHP367 
Functional Analysis 
3+0 

3 
MATH 

Elective1 
3+0 

4 
MATH 

Elective2 
3+0 

5 
MATH 
MATHA346 
Mathematical Methods 
3+0 

Total 
15+0=15 

SemesterVIII 
1 
MATH 
MATHA301 
Probability Theory 
3+0 
MATHA201 
2 
MATH 
MATHP490 
Integral Equations 
3+0 

3 
MATH 

Elective3 
3+0 

4 
MATH 

Elective4 
3+0 

5 
MATH 
MATHP401 
Project 
3+0 

Total 
15+0=15 

Program Credit Hours 
128 
Total 
Courses for MS (Mathematics)
S.No. 
Subject Area 
Course Catalog 
Course Title 
Credit Hours 
Prerequisites 
SemesterI 
1 


Core1 
3 

2 


Core2 
3 

3 


Core3 
3 

4 


Core4 
3 

Total 
12 

SemesterII 
1 


ElectiveI 
3 

2 


ElectiveII 
3 

3 


ElectiveIII 
3 

4 


ElectiveIV 
3 

Total 
12 

SemesterIII & IV 
1 


Thesis 
6 

Total 
6 

Program Credit Hours 
30 
Total 
Core courses for MS (Mathematics) 
S.No. 
Subject Area 
Course Catalog 
Course Title 
Credit Hours 
Prerequisites 
1 
Pure Maths 
MATHP524 
Theory of Group Actions 
3 

2 
Pure Maths 
MATHP531 
Riemannian Geometry 
3 

3 
Pure Maths 
MATHP543 
Topology 
3 

4 
Comp. Maths 
MATHA531 
ODEs and Computational Linear Algebra 
3 

5 
Applied Maths 
MATHA548 
Integral Equations 
3 

6 
Pure Maths 
MATHA575 
Theory of Partial Differential Equations 
3 

7 
Comp. Maths 
MATHP533 
Numerical Solutions of PDEs 
3 

8 
Pure Maths 
MATHA549 
Advanced Mathematical Physics 
3 

9 
Applied Maths 
MATHA532 
Special Functions 
3 

10 
Applied Maths 
MATHP552 
Research Methodology 
3 

Elective courses for MS (Mathematics) 
S.No. 
Subject Area 
Course Catalog 
Course Title 
Credit Hours 
Prerequisites 
1 
Pure Maths 
MATHP652 
History of Mathematics 
3 

2 
Pure Maths 
MATHP667 
Approximation Theory 
3 

3 
Pure Maths 
MATHP668 
Fixed Point Theory 
3 

4 
Pure Maths 
MATHP511 
Rings and Modules 
3 

5 
Pure Maths 
MATHP618 
Lattice Theory 
3 

6 
Pure Maths 
MATHP617 
Commutative Algebra 
3 

7 
Pure Maths 
MATHP612 
Category Theory 
3 

8 
Pure Maths 
MATHP651 
Axiomatic Set Theory 
3 

9 
Applied Maths 
MATHP670 
Theory of Ordinary Differential Equations 
3 

10 
Applied Maths 
MATHP641 
Contemporary Strategic Studies 
3 

11 
Applied Maths 
MATHP642 
Classical ElectrodynamicsI 
3 
MATHA641 
12 
Applied Maths 
MATHA643 
Representation TheoryI 
3 

13 
Applied Maths 
MATHA644 
Representation TheoryII 
3 
MATHA643 
14 
Applied Maths 
MATHA632 
Computer Aided Geometric Design (CAGD). 
3 

15 
Applied Maths 
MATHA633 
Multiresolution Geometric Modeling 
3 

16 
Coputational Maths 
MATHA634 
Mathematical Modeling 
3 

17 
Applied Maths 
MATHA646 
Perturbation Methods I 
3 

18 
Pure Maths 
MATHP669 
Geometric Function Theory 
3 

19 
Applied Maths 
MATHA645 
Fluid Mechanics 
3 

20 
Pure Maths 
MATHP615 
Banach Algebras 
3 

21 
Pure Maths 
MATHP616 
Theory of Group Graphs 
3 

22 
Applied Maths 
MATHA550 
General Theory of Relativity 
3 



