Lectures

Topics covered

Trigonometric

1.1 Geometric foundations of trigonometry

1.2 Trigonometric functions

1.3 Trigonometric identities

1.4 Solution of triangles

Arithmetic

2.1 Addition and Subtraction

2.2 Multiplication and Division

2.3 Factors and Multipliers

2.4 Negative numbers and absolute value

2.5 Decimals

2.6 Fractions

2.7 Ratios, proportions, units and rates

2.8 Factorizing

Combinatorics

3.1 Permutation and combination

Sequences

4.1 Arithmetic Sequences

4.2 Geometric Sequences

4.3 Convergent and Divergent Sequences

Derivatives

5.1 The Definition of the Derivative

5.2 Interpretation of the Derivative

5.3 Differentiation Formulas

5.4 Product and Qutient Rules

5.5 Derivatives of Trigonometric Functions

5.6 Derivatives of Exponential and Logarithm Functions

5.7 Derivatives of Inverse Trigonometric Functions

5.8 Derivatives of Hyperbolic Functions

5.9 Chain Rule

5.10 Implicit Differentiation

5.11 Higher Order Differentiation

Integrals

6.1 Introduction to Integrals

6.2 Indefinite Integrals

6.3 Riemann Sum

6.4 Definite Integrals

6.5 Integration by parts

6.6 Double integrals

Geometry

7.1 Points, lines and planes

7.2 Angles and intersecting line

7.3 Congruent triangles

7.4 Perimeter, area and volume

7.5 Similarity

7.6 Right triangles

7.7 Special properties and parts of triangles

7.8 Quadrilaterals

7.9 Circles