IIT JEE Mains & Advanced Mathematics - Nilesh Kumar
📌 Module 1: Fundamentals of JEE Mathematics
JEE syllabus overview
Weightage analysis (Mains + Advanced)
Study planning & strategy
Foundation concepts from Class 11 & 12
Speed, accuracy & calculation techniques
📌 Module 2: Algebra
Quadratic equations & theory of equations
Sequences & series
Complex numbers
Permutations & combinations
Binomial theorem
Matrices & determinants
Probability
Sets, relations & functions
Inequalities & logarithms
📌 Module 3: Coordinate Geometry
Straight lines & pair of lines
Circles
Parabola, ellipse & hyperbola
Conic sections for JEE Advanced
Transformation of axes
Locus & advanced geometry
📌 Module 4: Calculus
Differential Calculus
Limits & continuity
Differentiation & applications
Maxima & minima
Monotonicity & tangents
Integral Calculus
Indefinite and definite integrals
Area under curves
Differential equations
📌 Module 5: Vector & 3D Geometry
Vector operations
Dot & cross product
3D lines and planes
Distance, angle & shortest path
📌 Module 6: Trigonometry
Trigonometric equations
Inverse trigonometric functions
Heights & distances
Advanced JEE identities
📌 Module 7: JEE Mains & Advanced Problem Solving
Previous year question practice
High-level analytical problems
JEE Advanced pattern problems
Time-bound mock tests
📌 Module 8: Strategy & Exam Readiness
JEE Mains vs Advanced strategy
Attempt planning & time management
Common mistakes to avoid
Revision plan
Shortcuts & tips

