BS Mathematics (2.5 Years)

Introduction

The BS Mathematics program aims at producing undergraduate students in Mathematics who can fulfill the needs of our schools and college education and pursue their higher studies in Mathematics. B.S. Mathematics (2.5) after B.A. /B.Sc. is an 83 credit hours program of studies and is spread over five semesters (one bridging semester and four regular semesters).

Eligibility Criteria

Graduation with minimum 2nd Division.

Accreditations

B.S. Mathematics (2.5) program is recognized by HEC Pakistan.

Career Prospects

B.S. Mathematics (2.5 years) graduates have the following career prospects:

  • Subject Specialist in School Education
  • Mathematics Instructor
  • Forensic Scientist
  • Research Officer
  • Auditors
  • Investment analyst
  • Budget Analyst
  • Accountant
  • Stockbroker
  • Data Scientist
  • Astronaut
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Program Educational Objectives (PEOs)

Get admission in an institute/university for pursuing their studies for M.Phil. degree.

Identify and solve mathematical problems using their subject knowledge and relevant techniques.

Enhance their intellectual capabilities by taking initiatives for their professional growth in Mathematics and allied disciplines.

Work hard as an individual or as a team member while demonstrating interpersonal skills and high ethical values.

Pursue professional career in Education, Business and Finance, Govt. Departments as well as Private organizations and will be able to elevate themselves to middle level management within ten years.

Communicate effectively with their colleagues, seniors and society.

Programs Learning Outcomes (PLOs)

The students will have the ability to learn basics of mathematics and apply its knowledge to the solutions of problems of mathematics and related areas.

The students will have the ability to identify and analyze mathematical problems in Mathematics, Natural Sciences and Engineering areas.

The students will have the ability to find appropriate methods, techniques and appropriate software for solutions of mathematical problems.

The students will apply ethical principles and shall commit to high ethical values and norms with mathematical community and society.

The students will have the ability to work individually as well as a member of team.

The students will have the ability to pursue higher studies for M.Phil. degree.

The students will have the ability to communicate effectively mathematical ideas and presentations with their own community as well as society.

The students will have the ability to engage himself in lifelong learning in the context of latest advancement in their subject.

Scheme of Studies for BS Mathematics (2.5 Years) Program

Total Credit Hours = 83

Courses
Calculus
Mathematical Software Package (MATLAB/MAPLE)
Vector and Tensor Analysis
Discrete Mathematics
Modern Algebra I
Real Analysis I
Modern Algebra II
Ordinary Differential Equations
Classical Mechanics
Numerical Analysis I
Mathematical Methods
Translation of the Holy Qur’an V
Linear Algebra and Applications
Partial Differential Equations
Complex Analysis
Introduction to Topology
Real Analysis II
Translation of the Holy Qur’an VI
Functional Analysis
Measure Theory I
Elective I
Probability Theory
Elective II
Elective III
Translation of the Holy Qur’an VII
Optimization Theory
Elective IV
Elective V
Elective VI
Capstone Project
Translation of the Holy Qur’an VIII
Pure Mathematics Elective Courses
Number Theory
Game Theory
Combinatorics
Graph Theory
Fuzzy Set Theory
Differential Geometry
Numerical Analysis II
Measure Theory II
Analytical Methods in PDE
Fourier Analysis and Theory of Distributions
Stochastic Calculus with Applications to Non-linear Filtering
Convex Analysis
Rings and Fields
Theory of Modules
Commutative Algebra
Advanced Group Theory
Algebraic Combinatorics
Galois Theory
General Topology
Algebraic Topology
Affine and Euclidean Geometry
Algebraic Geometry
Introduction to Manifolds
Differential Topology
Introduction to Cryptography
Decision Making under Uncertainty
Applied Mathematics Elective Courses
Number Theory
Game Theory
Combinatorics
Graph Theory
Fuzzy Set Theory
Differential Geometry
Numerical Analysis II
Fluid Mechanics I
Fluid Mechanics II
Mathematical Methods
Computational Fluid Dynamics I
Mathematical Modeling of High-Pressure Combustion with Applications (Engine, Compressors, Boilers, Heat Exchangers)
Dynamics and Balancing of Multi-body Systems
Introduction to Scientific Computing
High Performance Computing I
Astronomy I
Astronomy II
Quantum Mechanics I
Quantum Mechanics II
Special Theory of Relativity
General Theory of Relativity
Solid Mechanics
Heat Transfer
Analytical Dynamics
Electromagnetic Theory
Matrix Computation
Numerical Solutions of Partial Differential Equations I
Design and Analysis of Algorithms
Decision Making under Uncertainty
Computational Mathematics Elective Courses
Number Theory
Game Theory
Combinatorics
Graph Theory
Fuzzy Set Theory
Differential Geometry
Numerical Analysis II
Introduction to Scientific Computing
Control Theory
Calculus of Variations and Optimal Control
Matrix Computation
Computational Biology
Operations Research
Numerical Solution of Partial Differential Equations I
Design and Analysis of Algorithms
Dynamical Systems I
Machine Learning
Mathematical Statistics III
Cloud Computing
Theory of Neural Computation
Business Intelligence
Introduction to Cryptography
Time Series Analysis
Feature Engineering and Predictive Modeling
Decision Making under Uncertainty
Financial Mathematics Elective Courses
Number Theory
Game Theory
Combinatorics
Graph Theory
Fuzzy Set Theory
Differential Geometry
Numerical Analysis II
Numerical Solution of Partial Differential Equations I
Design and Analysis of Algorithms
Introduction to Computational Thinking and Data Science
Decision Making under Uncertainty
An Introduction to Brownian Motion and Stochastic Calculus
Actuarial Mathematics
Portfolio Theory and Risk Management
Continuous Time Finance
Computational Finance
Fixed Income Models
Industrial Mathematics Elective Courses
Number Theory
Game Theory
Combinatorics
Graph Theory
Fuzzy Set Theory
Differential Geometry
Numerical Analysis II
Introduction to Scientific Computing
Control Theory
Calculus of Variations and Optimal Control
Matrix Computation
Computational Biology
Operations Research
Numerical Solution of Partial Differential Equations I
Dynamical Systems I
Machine Learning
Cloud Computing
Theory of Neural Computation
Decision Making under Uncertainty
Fundamentals of Deep Learning
Neuro-Fuzzy Expert Systems
CAD and Finite Element Analysis
Kinematics and Dynamics of Machines
Design of Machines
Stochastic Modeling and Simulation
Solid Mechanics
Thermal Science for Manufacturing
Near Net Shape Manufacturing
Manufacturing System Design
Welding and Allied Processes
Micro and Nano Manufacturing
CAM and Automation