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Proposed Year Wise Structure & Syllabus of Four Year U.G. Program in Mathematics

The four-year undergraduate program in Mathematics provides students with a comprehensive foundation in mathematical theory and its applications. This curriculum is designed to develop analytical reasoning, problem-solving skills, and mathematical thinking essential for various career paths in academia, research, industry, and beyond. The program structure is carefully planned to introduce fundamental mathematical concepts in the first two years, followed by more specialized and advanced topics in the third and fourth years.

Year 1: Foundation Courses

Semester 1

Course Code Course Name Credits Contact Hours
MAT101 Calculus I 4 3-1-0
MAT102 Linear Algebra I 4 3-1-0
MAT103 Discrete Mathematics 3 3-0-0
MAT104 Computer Programming for Mathematics 3 2-0-2
MAT105 Mathematical Logic and Set Theory 3 3-0-0
Total Credits: 17

Semester 2

Course Code Course Name Credits Contact Hours
MAT106 Calculus II 4 3-1-0
MAT107 Linear Algebra II 4 3-1-0
MAT108 Probability Theory 3 3-0-0
MAT109 Real Analysis I 4 3-1-0
MAT110 Numerical Methods I 3 2-0-2
Total Credits: 18

Year 2: Core Mathematics

Semester 3

Course Code Course Name Credits Contact Hours
MAT201 Calculus III (Multivariable) 4 3-1-0
MAT202 Differential Equations I 4 3-1-0
MAT203 Abstract Algebra I (Groups) 4 3-1-0
MAT204 Complex Analysis I 4 3-1-0
MAT205 Mathematical Statistics I 3 3-0-0
Total Credits: 19

Semester 4

Course Code Course Name Credits Contact Hours
MAT206 Differential Equations II 4 3-1-0
MAT207 Abstract Algebra II (Rings and Fields) 4 3-1-0
MAT208 Real Analysis II 4 3-1-0
MAT209 Number Theory 3 3-0-0
MAT210 Linear Programming 3 3-0-0
Total Credits: 18

Year 3: Advanced Topics

Semester 5

Course Code Course Name Credits Contact Hours
MAT301 Topology 4 3-1-0
MAT302 Partial Differential Equations 4 3-1-0
MAT303 Mechanics 4 3-1-0
MAT304 Numerical Methods II 3 2-0-2
MAT305 Elective I 3 3-0-0
Total Credits: 18

Semester 6

Course Code Course Name Credits Contact Hours
MAT306 Functional Analysis 4 3-1-0
MAT307 Differential Geometry 4 3-1-0
MAT308 Measure Theory 4 3-1-0
MAT309 Mathematical Modeling 3 2-0-2
MAT310 Elective II 3 3-0-0
Total Credits: 18

Year 4: Specialization and Research

Semester 7

Course Code Course Name Credits Contact Hours
MAT401 Mathematical Methods 4 3-1-0
MAT402 Stochastic Processes 4 3-1-0
MAT403 Optimization Techniques 4 3-1-0
MAT404 Elective III 3 3-0-0
MAT405 Project Work I 3 0-0-3
Total Credits: 18

Semester 8

Course Code Course Name Credits Contact Hours
MAT406 Advanced Topics in Mathematics 4 3-1-0
MAT407 Mathematical Finance or Cryptography 4 3-1-0
MAT408 Elective IV 3 3-0-0
MAT409 Computer Algebra Systems 3 2-0-2
MAT410 Project Work II 4 0-0-4
Total Credits: 18

List of Elective Courses

Students can choose from the following electives based on their interests:

  • Coding Theory
  • Graph Theory
  • Fuzzy Set Theory
  • Algebraic Geometry
  • Fluid Dynamics
  • Quantum Mechanics
  • Relativity
  • Algebraic Topology
  • Calculus of Variations
  • Game Theory
  • Information Theory
  • Biomathematics
  • Operations Research

Evaluation System

The evaluation system for the program includes both internal assessment and external examinations:

  • Internal Assessment: 30-40% (assignments, tests, quizzes, presentations, etc.)
  • Semester Examination: 60-70% (written examination at the end of each semester)
  • Project Work evaluation by internal and external examiners
  • Minimum 40% marks required to pass each course

Learning Outcomes

Upon successful completion of the program, students will be able to:

  • Demonstrate a deep understanding of mathematical concepts and theories
  • Apply mathematical methods to solve real-world problems
  • Use computational tools effectively for mathematical analysis
  • Communicate mathematical ideas clearly and precisely
  • Conduct independent research in specialized areas of mathematics
  • Pursue advanced studies and research in mathematics and related fields

Career Opportunities

Graduates of this program can pursue career opportunities in:

  • Research institutions and universities
  • Banks and financial institutions
  • Software and IT companies
  • Government organizations
  • Actuarial firms
  • Insurance companies
  • Data analysis and analytics companies
  • Engineering firms
  • Telecommunications companies
  • Educational sector
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