Handouts
All handouts, newest first.
- CMI Mock Test — Paper I community-resources → yuki • advancedA full-length mock examination in the style of the CMI B.Sc. (Hons.) Mathematics & Computer Science entrance paper. Part A: 10 objective questions. Part B: 6 proof-based questions.
- Advanced Trigonometry Compendium results → trigonometry • advancedThe complete formula arsenal — every identity, series, product, and technique a JEE Advanced or Olympiad aspirant needs, distilled into a single, searchable reference.
- Part 4: Advanced Inequalities and Majorization calculus → monotonicity • advancedThe full algebraic and analytic arsenal — majorization theory, Schur convexity, Muirhead's theorem, the SOS algorithm, Vasc's EV method, L^p integral bounds, and the Rearrangement inequality — deployed against the deadliest competition problems.
- Part 3: The Inequality Machinery calculus → monotonicity • advancedThe decisive edge — transforming derivative information into competition-grade inequality proofs through the Mean Value Theorems, convexity hierarchies, and a systematic heuristic arsenal.
- Part 2: Differential Analysis & Critical Points calculus → monotonicity • advancedA deep dive into the Discrete Zero Theorem, Darboux's Theorem, recursive derivative methods, and the advanced sign-analysis techniques that separate the elite from the rest.
- Part 1: The Algebraic & Topological Foundations calculus → monotonicity • advancedA rigorous exploration of pointwise vs. interval monotonicity, Darboux's Theorem, Froda's Theorem, and the essential manipulation techniques that separate the elite from the rest.
- Part 10: Integrals of Piecewise & Special Functions calculus → integration • advancedA definitive guide to tackling discontinuity, floor functions, max/min functions, and Riemann-Stieltjes concepts.