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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
GEC-1 Space, Place, and Experiences 2-0
GEC-2 A Science of Society I 2-0
GEC-3 Exploring Quantitative Skills 3-0
GEC-4 Introduction to Expository Writing 3-0
GEC-5 Applications of Information and Communication Technologies (ICT) 2-1
GEC-6 Ideology and Constitution of Pakistan 2-0
Major-1 Calculus 3-0
Semester – 2
GEC-7 Critical Reading and Academic Writing 3-0
GEC-8 Entrepreneurship 2-0
GEC-9 Tools for Quantitative Reasoning 3-0
GEC-10 Civics and Community Engagement 2-0
GEC-11 Islamic Studies 2-0
GEC-12 The Science of Global Challenges 2-1
Semester – 3
Major-2 Linear Algebra 3-0
Major-3 Object Oriented Programming  3-0
Major-4 Probability and Statistics 3-0
Major-5 Ordinary Differential Equations 3-0
Major-6 Number Theory 3-0
Major-7 Complex Analysis 3-0
Semester – 4
Major-8 Analytical Dynamics 3-0
Major-9 Vector and Tensor Analysis 3-0
Major-10 Multivariable Calculus 3-0
Major-11 Numerical Analysis-I (with Programming) 2-1
Major-12 Set Topology 3-0
Major-13 Differential Geometry I 3-0
Semester – 5
Major-14 Numerical Analysis-II (with programming) 2-1
Major-15 Partial Differential Equations 3-0
Major-16 Advance Calculus 3-0
Major-17 Analytical Mechanics 3-0
Major-18 Differential Geometry II 3-0
Inter-1 Discrete Structures 3-0
Semester – 6
Minor-1 Minor 3-1
Inter-2 Data Structures 3-0
Major-19 Optimization Theory 3-0
Major-20 Group Theory 3-0
Major-21 Intro to Integral Equations 3-0
Semester – 7
Minor-2 Minor 3-1
Minor-3 Minor 3-1
Inter-3 Statistical Methods 3-0
Major-22 Numerical Solution of Ordinary Differential Equations 3-0
Field Work Field Work/Internship 3-0
Semester – 8
Minor-4 Minor 3-1
Major-23 Operation Research 3-0
Major-24 Graph Theory 3-0
Inter-4 Business Mathematics 3-0
FYP Final Year Project-II(Thesis) 3-0

Minor Courses (For Data Science) (Any 4 Courses of minimum 12 Credit Hours)
  • Intro to Data Science
  • Fundamentals of Big data Analytics
  • Data Analysis & Visualization
  • Data Mining
  • Data Warehousing & Business Intelligence
Minor Courses (For Artificial Intelligence) (Any 4 Courses of minimum 12 Credit Hours)
  • Programming for AI
  • Operating Systems
  • Artificial Neural Networks
  • Machine Learning
  • Artificial Intelligence
  1. Matric/ Equivalent Certificate
  2. FSc/ Equivalent with Mathematics, securing at least 50% marks in aggregate
    OR
    Diploma of Associate Engineering Examination, securing at least 60% marks in aggregate
  3. No Entry Test Required
Number of Seats 50