Pure Mathematics 1 & 2 is part of the Cambridge Advanced Level Mathematics series, and contains the material for the OCR syllabus modules P1 and P2.
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This book is part of the Cambridge Advanced Level Mathematics series, written specifically for the OCR modular mathematics syllabus. Pure Mathematics 1 & 2 contains the material for modules P1 and P2 in separate halves of the book. It has chapters on algebra, functions, graphs, trigonometry and exponentials, and it introduces calculus.
Introduction; PURE MATHEMATICS 1: 1. Coordinates, points and lines; 2. Surds; 3. Some important graphs; 4. Quadratics ; 5. Differentiation ; 6. Inequalities; Revision exercises 1; 7. Index notation; 8. Functions and graphs; 9. Applications of differentiation; 10. Integration; 11. Trigonometry; 12. Second derivatives; Revision exercises 2; Mock examination papers; PURE MATHEMATICS 2: 1. Polynomials; 2. Combining and inverting functions; 3. Sequences; 4. The binomial theorem; 5. The trapezium rule; 6. Extending differentiation and integration; 7. Volumes of revolution; Revision exercises 3; 8. The logic of mathematics; 9. The modulus function; 10. Geometric sequences and exponential growth; 11. Exponential and logarithmic functions; 12. Differentiating exponentials and logarithms; 13. The chain rule; 14. Solving equations numerically; 15. Radians; Revision exercises 4; Mock examination papers; P1 Answers; P2 Answers; Index
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