Grade 12 high school mathematics

Differentiation (20h)

1. Limits and continuity (2hrs)
2. The derivative (2hrs)
3. Rules for differentiation (2hrs)
4. The derivative as a rate of change (2hrs)
5. Derivatives of logarithmic functions (1h)
6. Derivatives of exponential functions (1h)
7. Curve sketching. Relative extrema (2hrs)
8. Curve sketching. Second derivative. Concavity (2hrs)
9. Finding optimal values (2hrs)
10. Review and tests (4hrs)

Introduction to Probabilities (18h)

1. Basic counting principle and permutations (2hrs)
2. Combinations and other counting principles (2hrs)
3. Sample spaces and events (2hrs)
4. Probability (2hrs)
5. Conditional probability (2hrs)
6. Discrete random variable and expected value (2hrs)
7. Binomial distribution (2hrs)
8. Continues random variables. Normal distribution. (2hrs)
9. Review and tests (2hrs)