This is a tentative semester-wise and specialization-wise plan for UG Mathematics elective planning. Offerings may change depending on faculty availability, student demand, scheduling constraints, and normal administrative approval.
| Label | Meaning for planning |
|---|---|
| Every Monsoon / Every Spring | The course is expected to be offered in that semester every academic year, subject to faculty availability and normal administrative approval. |
| Alternate Spring | The course is expected to be offered once every two Spring semesters, depending on demand and staffing. |
| On demand | The course may be offered when there is sufficient student interest and a suitable instructor is available. |
| Under process / To be decided | The course or track is not yet finalized and needs further departmental approval or scheduling decision. |
Geometry electives provide a pathway from multivariable calculus and manifolds to advanced topics such as Riemannian geometry, Riemann surfaces, Lie groups, representations, and vector bundles.
| Course | Semester | Frequency / remarks |
|---|---|---|
| Multivariate Calculus and Manifolds | Monsoon | Every Monsoon |
| Riemannian Geometry | Spring | Every alternate Spring |
| Covering Maps and Basic Riemann Surfaces | Spring + Monsoon | On demand |
| Lie Groups, Representations and Vector Bundles | Spring + Monsoon | On demand |
| Semester | Course options | Planning remarks |
|---|---|---|
| Spring | Combinatorics or Error Correcting Codes | Offer one option based on demand and instructor availability. |
| Monsoon | Graph Theory or Cryptography | Offer one option based on demand and instructor availability. |
Under process: track and course rotation need departmental finalization.
| Semester | Course options | Planning remarks |
|---|---|---|
| Spring | Basic Category Theory, Algebraic Topology, or Representation of Finite Groups | Needs departmental finalization. |
| Monsoon | Commutative Algebra or Homological Algebra | Needs departmental finalization. |
The Analysis sequence is planned around foundational courses in metric spaces, measure theory, and functional analysis. One additional Spring analysis elective remains to be finalized.
| Course | Semester | Frequency / remarks |
|---|---|---|
| Metric Spaces | Monsoon | Every Monsoon |
| Functional Analysis | Spring | Every Spring |
| Measure Theory | Monsoon | Every Monsoon |
| Additional Analysis Elective | Spring | To be decided |
The Mathematical Finance stream combines finance-oriented courses with optimization, machine learning, deep learning, and stochastic modelling. Some advanced courses may be offered in alternate Spring semesters depending on student demand.
| Course | Semester | Frequency / remarks |
|---|---|---|
| Introduction to Mathematical Finance | Monsoon | Every Monsoon |
| Optimization I | Spring | Every Spring |
| Introduction to Machine Learning | Monsoon | Every Monsoon; exception: Spring 2027 |
| Deep Learning | Spring | Every Spring |
| Stochastic Processes | Spring | Alternate Spring, depending on demand |
| Discrete-Time Finance | Spring | Alternate Spring |
The Data Science electives provide a progression from statistical computation and machine learning to deep learning, large language models, and reinforcement learning.
| Course | Semester | Frequency / remarks |
|---|---|---|
| Statistical Simulation and Computation | Monsoon | Every Monsoon |
| Introduction to Machine Learning | Monsoon | Every Monsoon |
| Deep Learning | Spring | Every Spring |
| Introduction to Large Language Models | Spring | On demand |
| Advanced Deep Learning | Not decided | On demand; semester to be finalized |
| Introduction to Reinforcement Learning | Spring | Every Spring |
Other Mathematics electives may be offered outside the tracks above when there is sufficient student interest, an available instructor, and departmental approval. Students may also request guidance on how a proposed elective fits their programme plan or specialization pathway.