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DEPARTMENT OF APPLIED MATHEMATICS & STATISTICS

BS - Mathematics

The department offers the degree of Bachelor of Science (BS) in Mathematics as a major with followings minors
  1. Data Science
  2. Artificial Intelligence
Thus, students will have options to earn degrees in BS-Mathematics, BS-Mathematics with a focus on Data Science (Single Major-Single Minor) and BS Mathematics with a focus on Artificial Intelligence (Single Major-Single Minor). The streams with “Single Major-Single Minor” are per guidelines of new undergraduate policy of the Higher Education Commission (HEC) of Pakistan.

The mission of the program is to provide students with a platform in mathematics that strengthens the foundation of theoretical, applied mathematics, and edge-cutting technologies in students to make them highly marketable regarding their future endeavors.

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
Code Course Name Credit Hours Category
1 Calculus–I 3 (3-0) Major
2 Introduction to Programming 3 (2-1) Interdisciplinary
3 Quantitative Reasoning–I 3 (3-0) General Education
4 Applied Physics (Natural Science) 3 (2-1) General Education
5 Functional English 3 (3-0) General Education
6 Applications of ICT 3 (2-1) General Education
Semester – 2
1 Calculus–II 3 (3-0) Major
2 Discrete Mathematics 3 (3-0) Major
3 Quantitative Reasoning – II 3 (3-0) General Education
4 Expository Writing 3 (3-0) General Education
5 Pakistan Studies 2 (2-0) General Education
6 Elementary Differential Equations 2 (2-0) Major
Semester – 3
1 Calculus – III 3 (3-0) Major
2 Linear Algebra 3 (3-0) Major
3 Technical Writing (Arts& Humanities) 3 (3-0) General Education
4 Statistics & Probability 3 (3-0) Interdisciplinary
5 Ideology & Constitution of Pakistan 2 (2-0) General Education
6 Islamic Studies(Ethics for non-Muslim students) 2 (2-0) General Education
7 Psychology (Social Science) 2 (2-0) General Education
8 Understanding of Quaran-1 1(1-0) General Education
Semester – 4
1 Abstract Algebra 3 (3-0) Major
2 Numerical Methods 3 (3-0) Major
3 Data Structure & Algorithms 3 (3-0) Major
4 Ordinary Differential Equations 3 (3-0) Major
5 Civics & Community Engagement 2 (2-0) General Education
6 Understanding Quran 1 (1-0) General Education
7 Entrepreneurship 2 (2-0) General Education
Semester – 5
1 Real Analysis–I 3 (3-0) Major
2 Topology 3 (3-0) Major
3 Partial Differential Equations 3 (3-0) Major
4 Advanced Programming 3 (3-0) Interdisciplinary
5 Introduction to Mechanics 3 (2-1) Interdisciplinary
Semester – 6
1 Real Analysis–II 3 (3-0) Major
2 Complex Analysis 3 (3-0) Major
3 Elective – I (Introduction to Integral Equations) 3 (3-0) Major
4 Introduction to Machine Learning 3 (2-1) Interdisciplinary
5 Introduction to Classical Mechanics 3 (3-0) Interdisciplinary
Semester – 7
1 Differential Geometry 3 (3-0) Major
2 Elective –II 3 (2-1) Major
3 Elective – III (Optimization Theory) 3 (3-0) Major
4 Elective – IV 3(3-0) Major
5 Scientific Writing & Research Methods 3 (3-0) Interdisciplinary
Semester – 8
1 Elective-V (Numerical Solution of Ordinary Differential Equations) 3 (3-0) Major
2 Elective – VI 3 (3-0) Major
3 Elective – VII (Vector and Tensor Analysis) 3 (3-0) Major
4 Elective – VIII (Number Theory) 3(3-0) Major
5 Capstone/Project 3 (3-0) Capstone/Project

Field Experience/Internship
1 Field Experience/Internship 3-0 Tentatively will be conducted in the Summer, preferably after the completion of the 4th semester, under the supervision of a faculty member from AM&S and a Supervisor from the organization where the internship will be conducted
  1. Matric/ Equivalent Certificate
  2. HSSC (12 years of schooling) or an IBCC equivalent qualification in any group with a subject of Mathematics / General Mathematics.
  3. No Entry Test Required
Number of Seats
Mathematics 50
Mathematics with Artificial Intelligence 50
Mathematics with Data Science 50