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BS - Mathematics

The department offers the degree of Bachelor of Science (BS) in Mathematics. The focus of this degree is on

  • Group theory and Generalizations
  • Cryptography
  • General and Fundamental Mechanics
  • Fluid Mechanics
  • Computational Mechanics

The mission of the program is three-fold: to provide a platform in mathematics which incorporates the theoretical and applied mathematics for the sake of development in science and technology; to provide sound foundation to the engineers & scientists working for space science & related technologies in fulfilling the demands of their profession; to fulfill the void and create a bridge of knowledge and research between mathematics and other fields, especially engineering.

After graduation, our students will be equipped not only with advanced mathematical tools but will also acquire skill set needed to apply mathematics towards engineering problems. Moreover, our graduates will be able to:

PEO-01: Apply mathematical and related knowledge to identify and address the technical and societal problems.

PEO-02: Enhance their intellectual and analytical abilities in taking initiatives and/or develop innovative ideas for professional growth in mathematics and allied disciplines.

PEO-03: Work effectively as a team member or lead multidisciplinary teams while demonstrating the interpersonal & management skills and ethical responsibilities.

PEO-04: Pursue professional career in education, business & finance, industry and research institutions OR continue higher education to obtain advanced degrees in mathematics or related fields.

The curriculum for BS student is designed by collaboration of the mathematicians and engineers. Students undertaking research in this department will have a chance to learn not only the fundamental courses of mathematics but also advanced courses in different emerging areas. AM&S is also providing support to other engineering and sciences departments of IST so, upon successful completion of the courses taught by mathematics faculty, students will be able to:

PLO-01: Applied and Basic Mathematical Knowledge: An ability to learn basics and apply basic knowledge of mathematics, science and engineering fundamentals and an engineering specialization to the solution of multiplex scientific problems.

PLO-02: Problem Analysis & Investigation: An ability to identify, formulate and investigate research literature and analyze complex problems reaching substantiated conclusions using mathematics, natural sciences and engineering sciences.

PLO-03: Design/Development of Solutions: An ability to design solutions for emerging problems and design systems, components, or processes that meet specified needs with appropriate consideration for public health and safety, cultural, societal, and environmental considerations.

PLO-04: Modern Tool Usage: An ability to create, select and apply appropriate techniques, resources, and modern engineering and IT tools, including prediction and modeling with an understanding of the limitations.

PLO-05: Ethics: Apply ethical principles and commit to professional ethics, responsibilities, and norms of mathematical practices.

PLO-06: Communication: An ability to communicate effectively, orally as well as in writing with the scientific community and with society at large, such as being able to comprehend and write effective reports and design documentations, make effective presentations, and give and receive clear instructions.

PLO-07: Project Management and Team Work: An ability to demonstrate management skills and apply scientific principles to one’s own work, as a member and/or leader in a team to manage projects in a multidisciplinary environment.

Semester I
S No. Course Name Credit Hours
1. Islamic Studies 03
2. English Composition 03
3. Introduction to Communication Technology 1-1
4. Calculus 03
5. Applied Physics-I 03
6. Statistics-I 03
Semester II
1. Pakistan Studies 03
2. Communications Skills 03
3. Multivariable Calculus 03
4. Statistics-II 03
5. Linear Algebra 03
6. Programming Languages 2-1
Semester III
1. Technical Writing 03
2. Elements of Set Theory and Mathematical Logic 03
3. Introduction to Number Theory 03
4. Introduction to Space Sciences 01
5. Advanced Calculus 03
6. Ordinary Differential Equations 03
Semester IV
1. Software Packages 1-1
2. Real Analysis 03
3. Partial Differential Equations 03
4. Set Topology 03
5. Discrete Mathematics 03
6. Statics 03
Semester V
1. Functional Analysis 03
2. Complex Analysis-I 03
3. Numerical Analysis-I 2-1
4. Differential Geometry 03
5. Dynamics 03
6. Abstract Algebra/Group Theory 03
Semester VI
1. Numerical Analysis-II 2-1
2. Complex Analysis-II 03
3. Optimization Theory 03
4. Analytic Mechanics 03
5. Business Mathematics 03
6. Philosophy 03
Semester VII
1. Business and Entrepreneurship 03
2. Applied Physics-II 03
3. Elective 03
4. Elective 03
5. Thesis 03
Semester VIII
1. Foreign language 03
2. Elective 03
3. Elective 03
4. Thesis 03

Total Courses: 43+2
Total credit hours: 131

Compulsory Courses (All 9)
English Composition
Communication skills
Technical writing
Islamic Studies
Pakistan Studies
Elements of Set Theory and Mathematical Logic
Discrete Mathematics
Introduction to Communication Technology
Any Foreign Language

General Courses (Any 8)
Programming Languages
Software packages
Applied Physics I, II
Mathematical Biology
Business Mathematics
Introduction to Space Sciences
Business and Entrepreneurship
Professional Practice

Discipline Specific Courses (Any 11)
Linear Algebra
Abstract Algebra/ Group theory
Set Topology
Real Analysis
Functional Analysis
Ordinary Differential Equations
Partial Differential Equations
Numerical Analysis
Complex Analysis I

Major Courses (Any 11)
Differential Geometry-I
Multivariable Calculus
Analytical Mechanics
Introduction to Number theory
Advanced Calculus
Complex Analysis-II
Numerical Analysis-II
Optimization Theory

Elective courses (Any 4)
Rings and fields
Advanced Group Theory
Mathematical Modeling
History of Mathematics
Graph Theory
Statistical Inferences
Galois Theory
Convex Analysis
Projective Geometry
Real Analysis-II
Lie Groups
Calculus of Variables
Linear Circuit Analysis
Control Systems
Advanced Group Theory
An Introduction to Fluid Mechanics
Vectors and Matrices
Differential Geometry-II
Financial Mathematics
Theory of Modules
Permutation of groups
Programming in C++ for Finance
Actuarial Mathematics
Mathematical Methods
Basics of Information Hiding
Modeling and Simulation
Coding Theory
Advanced Numerical Techniques
Introduction to computational Elasticity
Analytical Mechanics
Introduction to computational Mathematics
Algebraic Number Theory
Algebraic Signal Processing Theory
Cryptography & Data Security

  1. SSC/ Equivalent Certificate
  2. Intermediate/ Equivalent with Mathematics, securing at least 50% marks in aggregate
    Diploma of Associate Engineering Examination, securing at least 60% marks in aggregate
  3. No Entry Test Required
Number of Seats 50