Topik A’ Level Pure Mathematics

A’ Level atau Advance Level adalah tingkatan sekolah setara dengan kelas XI dan kelas XII di Indonesia. Ada beberapa jenis ujian A’ Level Matematika, namun yang disajikan di sini adalah topik matematika untuk Pure Mathematics 1 (kelas XI) dan Pure Mathematics 2 & 3 (kelas XII). Topik-topik ini diambil dari buku Pure Mathematics 1, 2 & 3 karangan Hugh Neill and Douglas Quadling. Buku tersebut  mendapat pengesahan atau dinyatakan sebagai buku pendukung (endorsed) dari University of Cambridge International Examinations.

Topik-topik yang terkandung di dalam kedua buku tersebut adalah adalah sebagai berikut:

Pure Mathematics 1

1. Coordinates, points and lines
2. Surds and indices
3. Functions and graphs
4. Quadratics
5. Inequalities
6. Differentiation
7. Application of differentiation
8. Sequences
9. The binomial theorem
10. Trigonometry
11. Combining and inverting functions
12. Extending differentiation
13. Vectors
14. Geometric sequences
15. Second derivatives
16. Integration
17. Volume of revolution
18. Radians

Pure Mathematics 2&3

1. Polynomials
2. The modulus function
3. Exponential and logarithmic functions
4. Differentiating exponentials and logarithms
5. Trigonometry
6. Differentiating trigonometric functions
7. Differentiating products
8. Solving equations numerically
9. The trapezium rule
10. Parametric equations
11. Curves defined implicitly
12. Vectors: lines in two and three dimensions
13. Vectors: planes in three dimensions
14. The binomial expansion
15. Rational functions
16. Complex numbers
17. Complex number in polar form
18. Integration
19. Differential equations

Ygn. 101009

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