Syllabus and structure of 4-year Undergraduate Course for Mathematics/Applied Mathematics (NEP-2020)

Course Structure

(4-Year Honor’s Course/ Research Mode)

(With Mathematics as Major/Minor)

(UG Board Members/Minutes)

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Programme Learning Outcomes (PLOs) 

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PLO1: Foundational and Advanced Mathematical Proficiency
Demonstrate a solid understanding of fundamental and advanced topics including differential and integral calculus, real and complex analysis, matrices, linear algebra, abstract algebra, number theory, and geometry, enabling students to analyze and solve mathematical problems rigorously.

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PLO2: Analytical, Logical and Critical Thinking
Develop critical and logical reasoning through coursework in real analysis, metric and topological spaces, and theory of numbers, empowering students to formulate precise mathematical arguments, proofs, and counterexamples.

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PLO3: Mathematical Modelling and Applications
Formulate and analyze mathematical models for real-world phenomena using tools such as differential equations, Laplace and Fourier transforms, and graph theory, with applications in natural sciences, engineering, and economics.

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PLO4: Geometrical Visualization and Spatial Reasoning
Understand and interpret spatial structures through the study of plane, solid, and coordinate geometry, fostering geometric thinking and the ability to visualize abstract concepts.

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PLO5: Research Aptitude and Independent Inquiry
Develop research skills through project-based learning and dissertation work in the fourth year, including literature surveys, problem formulation, mathematical investigation, and presentation, aligning with the NEP 2020 emphasis on research orientation.

 

PLO6: Computational and Statistical Literacy
Acquire computational and statistical skills through coursework in mathematical statistics and data analysis, enabling students to interpret quantitative data and use statistical tools in research and applied contexts.

 

PLO7: Communication and Collaboration Skills
Enhance written and oral communication through seminars, presentations, and collaborative projects, including interdisciplinary research, promoting teamwork, scientific writing, and the dissemination of mathematical ideas.

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PLO8: Ethical Reasoning and Lifelong Learning
Inculcate professional ethics, responsibility, and a spirit of inquiry, encouraging self-directed learning and adaptability in mathematical sciences, research, academia, and related career paths.

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STRUCTURE AND DESIGN OF COURSES

Semester - I

Major: Calculus-I(MMT122J)- 6 credits

Minor: Calculus-I (MMT122N)- 6 Credits

- - -

- - -

Semester – II

Major: Calculus-II (MMT222J)-6 Credits

Minor: Calculus - II (MMT222N)-6 Credits

- - -

- - -

Semester – III

Major: Theory of Matrices (MMT322J)- 6 Credits

Minor: Theory of Matrices (MMT322N)- 6 Credits

- - -

- - -

Semester – IV

MajorReal Analysis – I (MMT422J1)- 4 Credits

Minor: Real Analysis - I (MMT422N)- 4 Credits

Major: Geometry (MMT422J2)- 6 Credits 

Major: Theory of Numbers (MMT422J3)- 6 Credits

Semester – V

Major: Algebra – I (MMT522J1)-4 Credits

Minor: Algebra - I (MMT522N)-4 Credits

Major: Mathematical Modeling and Numerical Methods (MMT522J2)- 6 Credits

Major: Fourier and Laplace Transforms (MMT522J3) - 6 Credits

Semester – VI

Major: Graph Theory (MMT622J1)- 4 Credits

MinorGraph Theory (MMT622N)- 4 Credits

Major: Differential Equations (MMT622J2)- 6 Credits

Major: Advanced Calculus (MMT622J3)- 6 Credits

Semester – VII

Major: Linear Algebra (MMT722J1)-4 Credits

Major: Linear Algebra (MMT722N)-4 Credits

Major: Algebra-II (MMT722J2) (4+2) credits

Major: Real Analysis – II (MMT722J3)-6 Credits

Semester - VIII

Major: Complex Analysis (MMT822J1)- 4 Credits

Minor: Complex Analysis (MMT822N)- 4 Credits

Major: Metric &Topological Spaces (MMT822J2)- 6 Credits

Major: Mathematical Statistics (MMT822J3)- 6 Credits

For Research Mode

Semester – VII

Major: Linear Algebra (MMT722J1)-4 Credits

Major: Linear Algebra (MMT722N)-4 Credits

Major: Algebra-II (MMT722J2) (4+2) credits

Major: Real Analysis – II (MMT722J6) (6) credits

Semester - VIII. 

Major: Complex Analysis (MMT822J1)- 4 Credits

Minor: Complex Analysis (MMT822N)- 4 Credits

Major: Research Methodology(MMT822J2) (4) Credits. 

 

*Project Dissertation (MMT822JP) (8) Credits

*Design of this course will be based on the specializaiton available in the Department.