Mathematics Mastery Course - Gautam Kumar

1. Algebra

• Polynomials and factorization

• Linear and quadratic equations

• Inequalities and graphs

• Sequences and series

2. Functions & Relations

• Types of functions

• Domain, range, and composite functions

• Inverse functions

3. Trigonometry

• Trigonometric ratios & identities

• Trigonometric equations

• Graphs of trigonometric functions

• Applications of trigonometry

4. Coordinate Geometry

• Straight lines & distance formula

• Section formula & mid-point

• Conic sections (basic introduction)

5. Geometry & Mensuration

• Properties of triangles

• Circles & tangent properties

• Area, perimeter, surface area, volume

6. Calculus Basics

• Limits and continuity

• Introduction to differentiation

• Derivatives of standard functions

• Applications of derivatives (rate of change, slopes)

7. Statistics & Probability

• Mean, median, mode

• Standard deviation

• Basics of probability

• Combined events

8. Problem Solving & Exam Preparation

• Chapter-wise worksheets

• Past year papers

• Mock tests

• Strategy for scoring high