MATH 130 1999, D1 & E1 & D3  Mathematics IE
As well as the lecturers, the following Mathematics staff take tutorial classes:
All students are expected to have access to a copy of the following:
The library contains a number of books which may be useful, including:
A description appears in the 1999 Calendar.
The Algebra & Trigonometry stream covers Chapter1,
most of Chapters 4,5,6 and 11,
and some of Chapter 9 of the text
by Aufmann, Barker and Nation.
Chapters 2 and 4 may be helpful in the Calculus stream,
while Chapters 3, 8 and 10 may later be relevant in MATH135.
The Calculus stream covers most of Chapters 2 to 6 of the ``Applied Calculus'' book. Chapter 1 (Algebra Review) of this book may be helpful in the Algebra & Trigonometry stream. Other topics in this book are also studied in MATH135.
Week  Algebra  Calculus  Tutorials 

1  Real numbers, manipulation of algebraic quantities.
(ABN: #1.1, 1.2) 
The 3 faces of a graph: height, slope, area.  no tutorials 
2  Expansions, factoring.
(ABN: #1.3, 1.4, 3.1) 
Lines and basic geometry; functions and their graphs.
(TG: #1.5, 1.6, 2.1, 2.2) 

3  Exponential and logarithmic functions.
(ABN: #4.14.4) 
Differentiation, Integration as antidifferentiation.
(TG: #2.12.7, 3.1, 3.4, 6.1) 
Assignment 1 due
Exercises, Week 3 
4  Angles, radians, introduction to Trigonometry.
(ABN: #5.15.4, 5.7) 
Applications of differentiation, curve sketching, implicit differentiation.
(TG: #3.53.6, 4.14.5) 
Quiz #1
Exercises, Week 4 
5  Trigonometric identities, addition formulae.
(ABN: #6.16.4) 
Optimisation problems.
(TG: #4.6) 
Test #1
Exercises, Week 5 
Easter + 1week break: April 29  
6  Linear equations, pairs of simultaneous equations.
(ABN: #1.6, 9.1) 
Areas between curves, volumes of revolution.
(TG: #6.36.5) 
Assignment 2 due
Exercises, Week 6 
7  Quadratic equations, arithmetic of complex numbers.
(ABN: #1.5, 1.6) 
Rules of differentiation.
(TG: #3.2, 3.3) 

8  Cubic equations with at least one rational root.
(ABN: #3.1, 3.3) 
Differentiation and Integration of trigonometric functions.  Project
Exercises, Week 8 
9  Geometric sequences.
(ABN: #11.1, 11.3) 
Exponential and logarithm functions and their derivatives.
(TG: #5.15.4) 
Assignment 3 due
Exercises, Week 9 
2week break: May 1021  
10  Absolute values, inequalities.
(ABN: #1.1, 1.8) 
Growth and Decay.
(TG: #8.3) 
Quiz #2
Exercises, Week 10 
11  Permutations and combinations.
(ABN: #11.6) 
Integration by substitution, use of trigonometric identities.  Test #2 
12  Binomial theorem.
(ABN: #11.5) 
Applications of integration.  Assignment 4 due
Exercises, Week 12 
13  Topics (if any) not completed in previous weeks; else Revision  Exercises, Week 13 
Note: If your examination performance is significantly better than your coursework record, we may award a grade based on the final examination only. However, students who have not actively participated throughout the semester have rarely achieved a passing grade, so it is most unwise to gamble on a good examination performance only.