Elementary Mathematics
by WWL Chen and XT Duong
This set of notes has been compiled over the last few years. Chapters 1, 3-6 and 8 are based on lecture notes used by the second author in the second semester of 1998. Most of the remaining chapters were used for the first time in the second semester of 1999.
The material has been organized in such a way to create a single volume suitable for use in the unit MATH130 at Macquarie University. This unit is currently taught in two parallel strands. The following is the suggested order for the presentation of the material:
The overall emphasis of this set of notes is on examples, of which there are many. The only way to study mathematics satisfactorily at this level is to study many examples and to attempt many exercises while going back regularly to the discussion in the notes for appropriate references.
To read the notes, click the chapters below for connection to the appropriate PDF files. You will need Adobe Acrobat Reader Version 4.0 or later.
SECTION A --- ALGEBRA
Chapter 2: INTRODUCTION TO MATRICES
Chapter 4: INDICES AND LOGARITHMS
Chapter 5: POLYNOMIAL EQUATIONS
Chapter 6: INEQUALITIES AND ABSOLUTE VALUES
Chapter 8: ELEMENTARY COUNTING TECHNIQUES
SECTION B --- CALCULUS
Chapter 10: FUNCTIONS AND LINES
Chapter 11: INTRODUCTION TO DIFFERENTIATION
Chapter 12: FURTHER TECHNIQUES OF DIFFERENTIATION
Chapter 13: APPLICATIONS OF DIFFERENTIATION
Chapter 14: INTRODUCTION TO INTEGRATION