CHAPTER 1 PROOF

1.1 PROOF BY CONTRADICTION
CHAPTER REVIEW 1

CHAPTER 2 PARTIAL FRACTIONS

2.1 PARTIAL FRACTIONS
2.2 REPEATED FACTORS
2.3 IMPROPER FRACTIONS
CHAPTER REVIEW 2

CHAPTER 3 COORDINATE GEOMETRY IN THE (x, y) PLANE

3.1 PARAMETRIC EQUATIONS
3.2 USING TRIGONOMETRIC IDENTITIES
3.3 CURVE SKETCHING
CHAPTER REVIEW 3

CHAPTER 4 BINOMIAL EXPANSION

4.1 EXPANDING (1 + x)^n
4.2 EXPANDING (a + bx)^n
4.3 USING PARTIAL FRACTIONS
CHAPTER REVIEW 4

REVIEW EXERCISE 1

CHAPTER 5 DIFFERENTIATION

5.1 PARAMETRIC DIFFERENTIATION
5.2 IMPLICIT DIFFERENTIATION
5.3 RATES OF CHANGE
CHAPTER REVIEW 5

CHAPTER 6 INTEGRATION

6.1 FINDING THE AREA UNDER A CURVE DEFINED PARAMETRICALLY
6.2 VOLUMES OF REVOLUTION AROUND THE x-AXIS
6.3 INTEGRATION BY SUBSTITUTION
6.4 INTEGRATION BY PARTS
6.5 PARTIAL FRACTIONS
6.6 SOLVING DIFFERENTIAL EQUATIONS
6.7 MODELLING WITH DIFFERENTIAL EQUATIONS
CHAPTER REVIEW 6

CHAPTER 7 VECTORS

7.1 VECTORS
7.2 REPRESENTING VECTORS
7.3 MAGNITUDE AND DIRECTION
7.4 VECTORS IN 3D
7.5 SOLVING GEOMETRIC PROBLEMS IN TWO DIMENSIONS
7.6 SOLVING GEOMETRIC PROBLEMS IN THREE DIMENSIONS
7.7 POSITION VECTORS
7.8 3D COORDINATES
7.9 EQUATION OF A LINE IN THREE DIMENSIONS
7.10 POINTS OF INTERSECTION
7.11 SCALAR PRODUCT
CHAPTER REVIEW 7

REVIEW EXERCISE 2