| Chapter | Topic | Key Skills | |---------|-------|-------------| | 1 | Algebraic manipulation | Simplifying expressions, factorizing | | 2 | Quadratic equations | Completing square, discriminant | | 3 | Inequalities | Linear and quadratic inequalities | | 4 | Coordinate geometry | Straight lines, circles | | 5 | Functions | Domain, range, composite functions | | 6 | Trigonometry | Sine, cosine rules, identities | | 7 | Series | Arithmetic and geometric progressions | | 8 | Binomial theorem | Expansion for positive integers | | 9 | Calculus – differentiation | Tangents, normals, rates of change | | 10 | Calculus – integration | Area under curves, definite integrals | | 11 | Vectors | Basic operations, geometry | | 12 | Revision exercises | Mixed exam-style problems |
| Resource | Type | Cost | |----------|------|------| | – Math | Video + exercises | Free | | OpenStax – Algebra & Trigonometry | PDF textbook | Free | | Paul’s Online Math Notes | Notes + problems | Free | | MIT OCW – Single Variable Calculus | Full course | Free | | GeeksforGeeks – Pure Math topics | Articles | Free | Pure Mathematics 1 By Backhouse Pdf Free Download
If your main goal is learning pure mathematics, several excellent free resources cover the same topics: | Chapter | Topic | Key Skills |
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