Currently the Department offers the following post-graduate (PG) programmes:
(i) BS (Mathematics and Scientific Computing),
(ii) BS (Statistics and Data Science),
(iii) M.Sc. (Mathematics),
(iv) M.Sc. (Statistics) and
(v) Doctor of Philosophy (Ph.D.)
The Department welcomes motivated and enthusiastic students of diverse backgrounds to apply for admissions into these programmes. Advertisements for PG admissions are made twice a year, typically in February and September and applications can be made via online admission portal. The details of admissions can be found on https://www.iitk.ac.in/doaa/pgadmission.htm or https://www.iitk.ac.in/doaa/
Information related to Admission
Template for BS program in Mathematics and Scientific Computing
| Template for 3rd to 8th semester for BS program in Mathematics and Scientific Computing | |||||
| Semester 3 | Semester 4 | Semester 5 | Semester 6 | Semester 7 | Semester 8 |
| SCHEME-2 EME (9-11) | SCHEME-3 HSS-I (9-11) | SCHEME-4 HSS-II (9) | MTH305 (11) | SCHEME-5 HSS-II (9) | SCHEME-6 HSS-II (9) |
| MTH201 (11) | ESC201 (14) | MTH421 (11) | MTH424 (11) | DE-4 (9) | DE-6 (9) |
| MTH302 (11) | MTH204 (11) | MTH403 (11) | MTH430 (10) | DE-5 (9) | OE-4 (9) |
| E/SO-1: MSO205 (11) | MTH301 (11) | E/SO-3 (9-11) | DE-2 (9) | OE-1 (9) | OE-5 (9) |
| E/SO-2: ESO207 (12) | MTH308 (10) | DE-1 (9) | DE-3 (9) | OE-2 (9) | OE-6 (9) |
| OE-3 (9) | |||||
| 54-56 | 55-57 | 49-51 | 50 | 54 | 45 |
Note: UGPs are NOT mandatory. However, depending on the consent of supervisor(s), a student may take up to 3 UGPs of 09 credits each against DE/OE (UGP will be counted as OE if taken outside the department as consented by the DUGC) requirements. A student can also take a 4th UGP, that however will NOT be counted towards fulfilling the graduation requirements.
| List of courses | ||
| Course No: | Title | Remarks |
| MTH201 (3-1-0-0) [11] | Linear Algebra | Same as MTH201A |
| MTH302 (3-1-0-0) [11] | Set Theory and Mathematical Logic | Same as MTH302A |
| MTH204 (3-1-0-0) [11] | Abstract Algebra | Same as MTH204A |
| MTH301 (3-1-0-0) [11] | Analysis - I | Same as MTH301A |
| MTH308 (3-0-1-0) [10] | Numerical Analysis and Scientific Computing - I | Same as MTH308B |
| MTH421 (3-1-0-0) [11] | Ordinary Differential Equations | Same as MTH421A |
| MTH403 (3-1-0-0) [11] | Complex Analysis | Same as MTH403A |
| MTH305 (3-1-0-0) [11] | Several Variable Calculus and Differential Geometry | Same as MTH305A |
| MTH424 (3-1-0-0) [11] | Partial Differential Equations | Same as MTH424A |
| MTH430 (3-0-1-0) [10] | Numerical Analysis and Scientific Computing - II | Same as MTH430A |
| Credit table for BS program in Mathematics and Scientific Computing | |
| Course type | Credits in the department template |
| Institute Core (IC) | 112 |
| E/SO | 32-34 |
| Department requirements | 162 (108 DC + 54 DE) |
| Open electives (OE) | 54 |
| SCHEME | 54-58 |
| Total for 4-year BT/BS | 414-420 |
|
Template for 3rd to 8th semester for BSH program in Mathematics and Scientific Computing |
|||||
| Semester 3 | Semester 4 | Semester 5 | Semester 6 | Semester 7 | Semester 8 |
| SCHEME-2 EME (9-11) | SCHEME-3 HSS-I (9-11) | SCHEME-4 HSS-II (9) | MTH305 (11) | SCHEME-5 HSS-II (9) | SCHEME-6 HSS-II (9) |
| MTH201 (11) | ESC201 (14) | MTH421 (11) | MTH424 (11) | DE-4 (9) | UGP-2 (9) |
| MTH302 (11) | MTH204 (11) | MTH403 (11) | MTH430 (10) | OE-1 (9) | OE-4 (9) |
| E/SO-1: MSO205 (11) | MTH301 (11) | E/SO-3: ESO207 (12) | DE-2 (9) | OE-2 (9) | OE-5 (9) |
| E/SO-2 (9-11) | MTH308 (10) | DE-1 (9) | DE-3 (9) | OE-3 (9) | OE-6 (9) |
|
UGP-1 (9) |
|||||
|
DEH-1 (9) |
DEH-2 (9) |
DEH-3 (9) |
|||
| 51-55 | 55-57 | 52 | 59 | 63 | 54 |
‒ CPI criterion for BSH: 8.5
Notes:
- A student may take additional UGP-3 of 09 credits against DE/OE (UGP will be counted as OE if taken outside the department as consented by the DUGC) requirements. A student can also take a 4th UGP that however will NOT be counted towards fulfilling the graduation requirements.
- For BSH, students need to do 27 additional credits of DEH by taking DEs from level 6/7 (Honours Course Basket).
Existing Honors Course Basket
Course ID - Title
MTH 604A - Differential calculus on
MTH 611A - Algebra II
MTH 612A - Introduction to commutative algebra
MTH 613A - Rings and modules
MTH 614A - Introduction to Stochastic Calculus
MTH 621A - Fourier analysis
MTH 624A - Differential manifolds and Lie groups
MTH 628A - Topics in Topology
MTH 631A - Approximation theory
MTH 633A - An introduction to hyperbolic geometry
MTH 635A - Introduction to operator theory
MTH 640A - Several complex variables
MTH 641A - Introduction to Lie algebra and representation theory
MTH 642A - Model theory
MTH 644A - Complex function theory
MTH 648A - Differential geometry
MTH 649A - Algebraic topology I
MTH 655A - Parallel numerical methods
MTH 656A - Sobolev spaces and applications
MTH 657A - Graphs and matrices
MTH 658A - Nonlinear dynamical systems
MTH 662A - Chevalley groups and algebraic groups
MTH 663A - Analytical techniques for PDEs
MTH 665A - Asymptotic statistics
MTH 666A - Category theory
MTH 667A - Introduction to algebraic geometry and algebraic groups
MTH 668A - Analytic number theory
MTH 669A - Ergodic theory and applications to metric number theory
MTH 671A - Introduction to arithmetic geometry
MTH 673A - Robust statistical methods
MTH 675A - Geometry of differential forms
MTH 676A - Econometrics
MTH 678A - Techniques in combinatorics
MTH 679A - Spatio-temporal models in mathematical biology
MTH 681A - Statistical decision theory
MTH 682A - Order statistics
MTH 684A - Statistical simulation, data analysis & model building
MTH 686A - Nonlinear regression
MTH 688A - Topics in arithmetic
MTH 689A - Linear and nonlinear models
MTH 690A - Probabilistic theory of pattern recognition
MTH 695A - Empirical processes
MTH 701A - Modal logic
MTH 707A - Markov chain Monte Carlo
MTH 712A - A first course in algebraic number theory
MTH 713A - Differential topology
MTH 716A - Introduction to geometric analysis
MTH 717A - ANN/ML approach for differential equations
MTH 719A - Introduction to homogenization
MTH 720A - Numerical Solutions of Integral Equations
MTH 721A - Computational mathematical finance
MTH 722A - Introduction to homotopy theory
MTH 731A - Introduction to Coxeter groups
MTH 732A - Representation theory of finite groups
MTH 734A - Banach algebras, C*-algebras and spectral theory
MTH 759A - Algebraic topology II
MTH 761A - Vector bundles & characteristic classes
MTH 770A - Numerical techniques for nonlinear dynamical systems
MTH 781A - Statistical pattern recognition
MTH 784A - Statistical reliability theory
|
Template for 3rd to 8th semester for BSH program in Mathematics and Scientific Computing |
|||||
| Semester 3 | Semester 4 | Semester 5 | Semester 6 | Semester 7 | Semester 8 |
| SCHEME-2 EME (9-11) | SCHEME-3 HSS-I (9-11) | SCHEME-4 HSS-II (9) | MTH305 (11) | SCHEME-5 HSS-II (9) | SCHEME-6 HSS-II (9) |
| MTH201 (11) | ESC201 (14) | MTH421 (11) | MTH424 (11) | DE-4 (9) | UGP-2 (9) |
| MTH302 (11) | MTH204 (11) | MTH403 (11) | MTH430 (10) | OE-1 (9) | OE-4 (9) |
| E/SO-1: MSO205 (11) | MTH301 (11) | E/SO-3 (9-11) | DE-2 (9) | OE-2 (9) | OE-5 (9) |
| E/SO-2: ESO207 (12) | MTH308 (10) | DE-1 (9) | DE-3 (9) | OE-3 (9) | OE-6 (9) |
|
UGP-1 (9) |
|||||
|
DEH-1 (9) |
DEH-2 (9) |
DEH-3 (9) |
|||
| 54-56 | 55-57 | 49-51 | 59 | 63 | 54 |
‒ CPI criterion for BSH: 8.5
Notes:
- A student may take additional UGP-3 of 09 credits against DE/OE (UGP will be counted as OE if taken outside the department as consented by the DUGC) requirements. A student can also take a 4th UGP that however will NOT be counted towards fulfilling the graduation requirements.
- For BSH, students need to do 27 additional credits of DEH by taking DEs from level 6/7 (Honours Course Basket).
Existing Honors Course Basket
Course ID - Title
MTH 604A - Differential calculus on
MTH 611A - Algebra II
MTH 612A - Introduction to commutative algebra
MTH 613A - Rings and modules
MTH 614A - Introduction to Stochastic Calculus
MTH 621A - Fourier analysis
MTH 624A - Differential manifolds and Lie groups
MTH 628A - Topics in Topology
MTH 631A - Approximation theory
MTH 633A - An introduction to hyperbolic geometry
MTH 635A - Introduction to operator theory
MTH 640A - Several complex variables
MTH 641A - Introduction to Lie algebra and representation theory
MTH 642A - Model theory
MTH 644A - Complex function theory
MTH 648A - Differential geometry
MTH 649A - Algebraic topology I
MTH 655A - Parallel numerical methods
MTH 656A - Sobolev spaces and applications
MTH 657A - Graphs and matrices
MTH 658A - Nonlinear dynamical systems
MTH 662A - Chevalley groups and algebraic groups
MTH 663A - Analytical techniques for PDEs
MTH 665A - Asymptotic statistics
MTH 666A - Category theory
MTH 667A - Introduction to algebraic geometry and algebraic groups
MTH 668A - Analytic number theory
MTH 669A - Ergodic theory and applications to metric number theory
MTH 671A - Introduction to arithmetic geometry
MTH 673A - Robust statistical methods
MTH 675A - Geometry of differential forms
MTH 676A - Econometrics
MTH 678A - Techniques in combinatorics
MTH 679A - Spatio-temporal models in mathematical biology
MTH 681A - Statistical decision theory
MTH 682A - Order statistics
MTH 684A - Statistical simulation, data analysis & model building
MTH 686A - Nonlinear regression
MTH 688A - Topics in arithmetic
MTH 689A - Linear and nonlinear models
MTH 690A - Probabilistic theory of pattern recognition
MTH 695A - Empirical processes
MTH 701A - Modal logic
MTH 707A - Markov chain Monte Carlo
MTH 712A - A first course in algebraic number theory
MTH 713A - Differential topology
MTH 716A - Introduction to geometric analysis
MTH 717A - ANN/ML approach for differential equations
MTH 719A - Introduction to homogenization
MTH 720A - Numerical Solutions of Integral Equations
MTH 721A - Computational mathematical finance
MTH 722A - Introduction to homotopy theory
MTH 731A - Introduction to Coxeter groups
MTH 732A - Representation theory of finite groups
MTH 734A - Banach algebras, C*-algebras and spectral theory
MTH 759A - Algebraic topology II
MTH 761A - Vector bundles & characteristic classes
MTH 770A - Numerical techniques for nonlinear dynamical systems
MTH 781A - Statistical pattern recognition
MTH 784A - Statistical reliability theory