Unit 1: Sets and Functions
- Chapter 1: Sets The foundation of modern math. Learn about types of sets, subsets, power sets, and the vital Venn Diagrams.
- Focus: Union, Intersection, and Complement of sets.
- Chapter 2: Relations and Functions Understand Cartesian products and how specific relations become functions.
- Focus: Domain, Co-domain, and Range of real functions.
- Chapter 3: Trigonometric Functions Move beyond right-angled triangles to study trigonometric ratios as functions and their graphs.
- Focus: $sin(x+y)$ formulas and general solutions of trig equations.
Unit 2: Algebra
- Chapter 4: Complex Numbers and Quadratic Equations Introduction to the imaginary unit $i$ ($\sqrt{-1}$) and solving quadratic equations with complex roots.
- Focus: Modulus and Conjugate of complex numbers.
- Chapter 5: Linear Inequalities Learn to solve algebraic inequalities in one and two variables and represent them on a number line or graph.
- Chapter 6: Permutations and Combinations Master the art of counting. Learn the fundamental principle of counting and the formulas for $^nP_r$ and $^nC_r$.
- Chapter 7: Binomial Theorem Study the expansion of $(a+b)^n$ for positive integral indices and find general and middle terms.
- Chapter 8: Sequences and Series Explore Arithmetic Progressions (AP) and Geometric Progressions (GP). Learn to find the $n^{th}$ term and sum of $n$ terms.
Unit 3: Coordinate Geometry
- Chapter 9: Straight Lines Deep dive into slopes, various forms of equations of a line, and the distance between points and lines.
- Chapter 10: Conic Sections Study the geometry of the Circle, Ellipse, Parabola, and Hyperbola using standard equations.
- Chapter 11: Introduction to Three Dimensional Geometry Shift from 2D to 3D. Learn about coordinate axes, planes, and the distance formula in 3D space.
Unit 4: Calculus
- Chapter 12: Limits and Derivatives The gateway to higher math. Understand the concept of limits and the “First Principle” of derivatives.
- Formula: $f'(x) = \lim_{h \to 0} \frac{f(x+h) – f(x)}{h}$
Unit 5: Statistics and Probability
- Chapter 13: Statistics Learn to calculate Dispersion, Mean Deviation, Variance, and Standard Deviation for grouped and ungrouped data.
- Chapter 14: Probability Study random experiments, sample spaces, and events using the axiomatic approach to probability.
💡 Pro-Tip for Maths Students
Maths is a “Contact Sport”—you can’t learn it by just watching. You must pick up a pen and solve. If you’re stuck on a JEE problem, go back to the NCERT basics. At Mobotes, we suggest mastering the Trigonometric Identities early; they will reappear in almost every other chapter!