Unit 1 Algebraic Expression

Lesson 1 Multiplication,Addition and Subtraction

Lesson 2 Expansion of Two Brackets

Lesson 3 Squares and Harder Expansions

Lesson 4 Yang Huei s Triangle

Unit 2 Factorising

Lesson 1 Factorising Quadratic Expressions

Lesson 2 Harder Factorising

Lesson 3 Factor Theorem

Lesson 4 The Factors of a3-b3 and a3+b3

Lesson 1 Simplification of Fractions

Unit 3 Fractions and Roots

Lesson 2 Addition,Subtraction and Division

Lesson 3 Surds(I)

Lesson 4 Surds(II)

Unit 4 Indices,Logarithms and Eqnations

Lesson 1 Indices

Lesson 2 Logarithms(I)

Lesson 3 Logarithms(II)

Lesson 4 Simple Equation

Unit 5 Equation

Lesson 1 Solution of the Quadratic Equations

Lesson 2 Properties of the Roots of a Quadratic Equation

Lesson 3 Solution of the Linear Equations

Lesson 4 Disguised Quadratic Equations

Unit 6 Mapping and Function

Lesson 1 Concept of a Function

Lesson 2 Characteristics of a Function

Lesson 3 Solving Absolute Value Inequalities and Quadratic Inequalities

Lesson 4 Powerful and Colorful Man in the History of Mathematics

Unit 7 Related Functions

Lesson 1 Exponential Functions

Lesson 2 Logarithmic Functions

Lesson 3 Quadratic Functions

Lesson 4 Achilles Can Never Overtake the Tortoise

Unit 8 Trigonometric Formulas

Lesson 1 Radian Measurement of Angles

Lesson 2 Trigonometric Functions of Any Angle

Lesson 3 Addition Laws

Lesson 4 Double-Angle and Half-Angle Identities

Unit 9 Graphs and Characteristics of a Trigonometric Function

Lesson 1 Graphing Sine and Cosine Functions

Lesson 2 The Graph of the Function y=Asin(ωx+φ)

Lesson 3 The Characteristics of Tangent Function

Lesson 4 Sine and Cosine Rules

Unit 10 The Appliance of the Function

Lesson 1 Solving Practical Problems

Lesson 2 Using of the Trigonometry

Lesson 3 Maths History-a Story of Euler

Lesson 4 A Test of the Function

Lesson 1 Some Necessary Definitions and Designations

Unit 11 Vectors(I)

Lesson 2 The Sum of Vectors(I)

Lesson 3 The Sum of Vectors(II)

Lesson 4 Multiplication of a Vector by a Scalar

Unit 12 Vectors(II)

Lesson 1 The Condition of Complanarity of Vectors

Lesson 2 Scalar Product of Vectors

Lesson 3 Use the XOY System to Denote Vectors in Plane

Lesson 4 The Condition of Collinear Vectors and Orthogonal Vectors

Unit 13 Complex Number

Lesson 1 Definition of a Complex Number

Lesson 2 Properties of the Operations of Addition and Multiplication

Lesson 3 Trigonometric Form

Lesson 4 Multiplication and Division of Complex Number

Unit 14 The Probability(I)

Lesson 1 Permutations

Lesson 2 Combinations

Lesson 3 About Probability

Lesson 4 More Examples of Experiments

Unit 15 The Probability(II)

Lesson 1 Definition of Probalility

Lesson 2 Examples of Probability

Lesson 3 Find the Probability of an Event

Lesson 4 Examples of Computing the Probabilities

Lesson 1 Limits(I)

Unit 16 Limits

Lesson 2 Limits(II)

Lesson 3 Definition of Limit

Lesson 4 Theorems on Limits

Unit 17 The Definition of Derivative and Its Geometric Interpretation

Lesson 1 The Definition of the Derivative

Lesson 2 Differentiating Constants and axn

Lesson 3 Geometric Interpretation of the Derivative

Lesson 4 The Equation of Tangents and Normals

Unit 18 Continuity and Limits of Sequences

Lesson 1 Continuity and One-sided Limits

Lesson 2 Limits at Infinity and Infinits Limits

Lesson 3 Limits of Two Important Functions

Lesson 4 Limits of Sequences

Unit 19 Theorems on Differentiation

Lesson 1 Theorems on Differentiation of Function

Lesson 2 The Chain Rule-the Derivative of Function of Functions

Lesson 3 Intervals of the Function

Lesson 4 Stationary Values

Unit 20 Integration

Lesson 1 Differentiation Reversed

Lesson 2 Using Integration to Find an Area

Lesson 3 The Integration of Sinx and Cosx

Lesson 4 The Derivative of f(x)=Inx and f(x)=ex

Appendix I Keys

Appendix II Vocabulary

Appendix III Reference Books