Integrated M.Sc.Mathematics
(For the students to be admitted from 2018-19)
Scheme of Study
Semester I(20 Credits)
| Course Code | Course Name | No. of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| ENG110R01 | English Communication-I | 3 | 0 | 0 | 3 |
| MAT125 | Trigonometry & Differential Calculus | 4 | 1 | 0 | 5 |
| MAT126 | OrdinaryDifferential Equations & MathematicalLogic | 4 | 1 | 0 | 5 |
| PHY105 | AlliedPhysics–I | 4 | 0 | 0 | 4 |
| CHY102 | Environmental Science | 2 | 0 | 0 | 2 |
| PHY108 | Allied Physics Laboratory–I | 0 | 0 | 2 | 1 |
| TOTAL | 17 | 2 | 2 | 20 | |
II Semester(20 Credits)
| Course Code | Course Name | No.of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| ENG111R01 | English Communication II | 3 | 0 | 0 | 3 |
| MAT230 | Theory of Equations &Integral Calculus | 4 | 1 | 0 | 5 |
| PHY111 | Allied Physics – II | 4 | 0 | 0 | 4 |
| MAT231 | Applied Numerical Methods | 4 | 1 | 0 | 5 |
| ENG112 | Culture and Ethics | 2 | 0 | 0 | 2 |
| PHY113 | Allied Physics Laboratory – II | 0 | 0 | 2 | 1 |
| TOTAL | 17 | 2 | 2 | 20 | |
III Semester(23 Credits)
| Course Code | Course Name | No of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| ENG210R01 | English Communication III | 3 | 0 | 0 | 3 |
| MAT127 | Analytical Geometry | 4 | 1 | 0 | 5 |
| MAT128 | Classical Algebra | 4 | 1 | 0 | 5 |
| MAT129 | Statistics-I | 4 | 1 | 0 | 5 |
| CHY109 | Ancillary Chemistry–I | 4 | 0 | 0 | 4 |
| CHY110 | Ancillary Chemistry Laboratory–I | 0 | 0 | 2 | 1 |
| TOTAL | 19 | 3 | 2 | 23 | |
IV Semester(23 Credits)
| Course Code | Course Name | No of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| ENG211R01 | English Communication IV | 3 | 0 | 0 | 3 |
| MAT232 | Abstract Algebra–I | 4 | 1 | 0 | 5 |
| MAT233 | LinearSpace & Programming | 4 | 1 | 0 | 5 |
| MAT234 | Introduction to Real Analysis | 4 | 1 | 0 | 5 |
| CHY111 | Ancillary Chemistry–II | 4 | 0 | 0 | 4 |
| CHY112 | Ancillary Chemistry Laboratory–II | 0 | 0 | 2 | 1 |
| TOTAL | 19 | 3 | 2 | 23 | |
V Semester(25 Credits)
| CourseCode | CourseName | No of Contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| MAT323 | Methods of Real Analysis | 4 | 1 | 0 | 5 |
| MAT324 | Linear Algebra–I | 4 | 1 | 0 | 5 |
| MAT235 | Introduction to Statics & Dynamics | 4 | 1 | 0 | 5 |
| CSS120R01 | C Programming | 4 | 0 | 0 | 4 |
| MAT236 | Complex Analysis–I | 4 | 0 | 0 | 4 |
| CSS125 | Programming in C Laboratory | 0 | 0 | 2 | 1 |
| TNP101 | Soft Skills I | 0 | 0 | 2 | 1 |
| TOTAL | 20 | 3 | 4 | 25 | |
VI Semester(24 Credits)
| Course Code | Course Name | No of Contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| MAT325 | Complex Analysis – II | 3 | 1 | 0 | 4 |
| MAT237 | Graph Theory & Applications | 4 | 1 | 0 | 5 |
| MAT326 | Transforms & FourierSeries | 4 | 1 | 0 | 5 |
| MAT238 | Mathematical Programming | 4 | 1 | 0 | 5 |
| MAT239 | Introduction to Number Theory | 4 | 0 | 0 | 4 |
| TNP102 | Soft Skills II | 0 | 0 | 2 | 1 |
| TOTAL | 19 | 4 | 2 | 24 | |
VII Semester(25 Credits)
| Course Code | Course Name | No of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| MAT409 | Advanced Analysis | 3 | 1 | 0 | 4 |
| MAT410 | Theory of Partial Differential Equations | 3 | 1 | 0 | 4 |
| MAT327 | Abstract Algebra–II | 3 | 1 | 0 | 4 |
| MAT417 | Techniques in Operations Research | 3 | 1 | 0 | 4 |
| MAT412 | Statistics–II | 3 | 1 | 0 | 4 |
| MAT414 | Classical Mechanics | 3 | 1 | 0 | 4 |
| MAT247 | R-Programming Laboratory | 0 | 0 | 2 | 1 |
| TOTAL | 18 | 6 | 2 | 25 | |
VIII Semester(25 Credits)
| Course Code | Course Name | No of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| MAT536 | Introduction to Functional Analysis | 3 | 1 | 0 | 4 |
| MAT413 | Probability theory | 3 | 1 | 0 | 4 |
| MAT447 | General Topology | 3 | 1 | 0 | 4 |
| MAT539 | Advanced Algebra | 3 | 1 | 0 | 4 |
| Elective–I(Choose any one elective) | 3 | 1 | 0 | 4 | |
| MAT411 | Special Functions & Applications | ||||
| MAT419 | Applied Discrete Structures | ||||
| MAT420 | Parallel Numerical Algorithms | ||||
| MAT421 | Decision Theory | ||||
| MAT424 | Applied Matrix Theory | ||||
| Elective–II(Choose any one elective) | 3 | 1 | 0 | 4 | |
| MAT423 | Multivariate Analysis | ||||
| MAT538 | Theory of wavelets | ||||
| MAT540 | Finite Element Analysis | ||||
| MAT425 | Applied Algorithms | ||||
| MAT426 | Introduction to Coding Theory | ||||
| BIE313 | Scientific Writing | 0 | 0 | 2 | 1 |
| TOTAL | 18 | 6 | 2 | 25 | |
IX Semester(22 Credits)
| CourseCode | CourseName | No of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| MAT415 | Measure Theory | 4 | 1 | 0 | 5 |
| MAT416 | Elements of Fluid Mechanics | 3 | 1 | 0 | 4 |
| MAT418 | Methods in Stochastic Processes | 3 | 1 | 0 | 4 |
| MAT537 | Advanced Mathematical Methods | 4 | 1 | 0 | 5 |
| MAT332 | Programming using Computational Packages | 0 | 0 | 2 | 1 |
| MAT399 | Seminar | 0 | 0 | 2 | 1 |
| MAT498 | Mini Project | 0 | 0 | 4 | 2 |
| TOTAL | 14 | 4 | 8 | 22 | |
X Semester(18 Credits)
| Course Code | Course Name | No of contact Hours/Week | Credits | ||
|---|---|---|---|---|---|
| L | T | P | |||
| MAT600 | PROJECT & VIVA VOCE | - | - | 36 | 18 |
| TOTAL | - | - | 36 | 18 | |
