H2 Math Tuition Summary

Mini Tuition For H2 Math

1 Graphing Techniques (H2 Math Tuition - Concepts Summary)

1. Conics

2. Circle

3. Eclipse

4. Hyperbola

2 Functions (H2 Math Tuition - Concepts Summary)

1. Definitions

2. Vertical Line Test

3. Inverse Functions

4. Composite Functions

3 Equations and Inequalities (H2 Math Tuition - Concepts Summary)

1. Properties of Inequalities

2. Solving Inequalities

3. Solving SIM. Linear Equation using G.C.

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4 Sequence and Series (H2 Math Tuition - Concepts Summary)

1. Simple Definitions

2. Arithmetic Progression (A.P)

3. Geometric Progression (G.P)

4. Sum of First n Terms

5. Sigma Notation

6. Rules of Sigma Notation

7. Method of Differences

8. Limit of Sequence

9. Convergence of Sequences

5 Differentiation and Its Applications (H2 Math Tuition - Concepts Summary)

1. Rules of Differentiation

2. Chain Rule

3. Higher Order Derivatives

4. Trigonometric Functions

5. Exponential Functions

6. Logarithmic Functions

7. Implicit Functions

8. Inverse Trigonometric Functions

9. Parametric Differentiation

10. Tangent and Normal

11. First Derivative Test

12. Second Derivative Test

13. Increasing Functions

14. Decreasing Functions

15. Graphs of y=f'(x)

6 Maclaurin's Series (H2 Math Tuition - Concepts Summary)

1. Power Series Representation

2. Standard Maclaurin Series

3. Small Angle Approximations

4. Compound Angle Formulae

7 Integration and Its Application (H2 Math Tuition - Concepts Summary)

1. Integration

2. Definite Integral

3. Properties of Definite Integral

4. Integrals Involving Linear Algebraic Functions

5. Reverse Chain Rule

6. Exponential Functions

7. Trigonometric Functions

8. Trigonometric Identities

9. Factor Formulae

10. Involving Fractions

11. Partial Fractions

12. Integration By Substitution

13. Integration By Parts

14. Area Bounded By Curve w.r.t x-axis

15. Area Bounded By Curve w.r.t y-axis

16. Area Between 2 Curves

17. Area With One Point of Intersection

18. Area Under Parametric Curve

19. Area as a Limit of Sum of Areas of Rectangles

20. Volume of Revolution

21. Volume of Rev Bounded By 2 Graphs

8 Differential Equations (H2 Math Tuition - Concepts Summary)

1. Direct Integration

2. Separation of Variable

3. By Substitution

4. Application of D.E

9 Probability (H2 Math Tuition - Concepts Summary)

1. Probability

2. Complimentary Events

3. Addition Law

4. Mutually Exclusive Events

5. Conditional Probability

6. Independent Events

7. Useful Approaches

8. Tree Diagram

9. Formulas

10. Note

10 Binomial Theorem (H2 Math Tuition - Concepts Summary)

1. Expansion of Linear Algebraic Factors

2. Expansion of Quadratic Functions

3. Expansion of (1+x)n

4. Expansion of (a+bx)n

11 Normal Distribution (H2 Math Tuition - Concepts Summary)

1. Normal Distribution

2. Standard Normal Distribution

3. Area Under Normal Curve (By Symmetry)

4. Transforming to Standard Normal

5. Sample Mean

6. Central Limit Theorem (CLT)

7. Properties of Expectation and Variance

8. Approximation of Binomial and Poisson Distribution

12 Sampling (H2 Math Tuition - Concepts Summary)

1. Point Estimation

13 Hypothesis Testing (H2 Math Tuition - Concepts Summary)

1. Important Definitions

2. Hypothesis Tests

3. General Hypothesis Testing Procedure

14 Correlation and Regression (H2 Math Tuition - Concepts Summary)

1. Scatter Diagrams

2. Product Moment Correlation Coefficient

3. Regression Lines

4. Choice of Regression Lines

5. Interpolation Extrapolation

6. Linear Law