1. Linear Algebra
2. Calculus and Real Analysis
3. 3-D Geometry
4. Ordinary Differential Equations
5. Vector Analysis
6. Algebra
| 7. Complex Analysis
8. Linear Programming
9. Numerical Analysis
10. Computer Programming
11. Dynamics & Statics
12. Mechanics and Fluid Dynamics
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UPSC Mathematics Optional for IAS and IFoS
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