HSC Mathematics Advanced Year 12 Notes

These are the 20 revision notes inside the HSC Mathematics Advanced Mastery Pack. Open any note to see what it covers before you buy.

1. Applications of Derivatives: Tangents, Normals, and Rates of Change3 · Calculus

   Differential Calculus

2. Applications of Integration: Displacement, Velocity, and Acceleration3 · Calculus

   Integral Calculus

3. Areas Under and Between Curves3 · Calculus

   Integral Calculus

4. Curve Sketching Using Calculus3 · Calculus

   Second Derivative and Curve Sketching

5. Derivatives of Trigonometric, Exponential, and Logarithmic Functions3 · Calculus

   Differential Calculus

6. Differentiation Rules: Product, Quotient, and Chain3 · Calculus

   Differential Calculus

7. Integration Rules: Indefinite and Definite Integrals3 · Calculus

   Integral Calculus

8. Stationary Points and the Second Derivative Test3 · Calculus

   Second Derivative and Curve Sketching

9. Combining and Squaring Functions3 · Functions

   Graphing Techniques

10. Reciprocal and Absolute Value Graphs3 · Functions

    Graphing Techniques

11. Transformations of Functions3 · Functions

    Graphing Techniques

12. Graphs of Sine, Cosine, and Tangent3 · Trigonometric Functions

    Trigonometric Graphs

13. Solving Trigonometric Equations Graphically and Algebraically3 · Trigonometric Functions

    Trigonometric Graphs

14. Trigonometric Identities and Applications3 · Trigonometric Functions

    Trigonometric Graphs

15. Annuities and Loan Repayments4 · Financial Mathematics

    Modelling Financial Situations

16. Simple and Compound Interest4 · Financial Mathematics

    Modelling Financial Situations

17. Applications of the Normal Distribution4 · Statistical Analysis

    Normal Distribution

18. Correlation, Regression, and the Least-Squares Line4 · Statistical Analysis

    Descriptive and Bivariate Statistics

19. Discrete Random Variables and Probability Distributions4 · Statistical Analysis

    Random Variables

20. The Normal Distribution and z-Scores4 · Statistical Analysis

    Normal Distribution