Study Guide

MATH 130 1999, D1 & E1 & D3 -- Mathematics IE




Lecturers

*
Chris Cooper  Office: E6A-339, ph: 9850 9539, email: chris@maths.mq.edu.au,
Calculus, Weeks 1-6.
*
Bon Clarke  Office: E6A-338, ph: 9850 9538, email: bon@maths.mq.edu.au,
Calculus, Weeks 7-12.
*
Rod Yager  Office: E7A-418, ph: 9850 8934, email: rody@maths.mq.edu.au,
Algebra & Trigonometry, Weeks 1-6.
*
Ted O'Keeffe  Office: E7A-305, ph: 9850 8922, email: ted@maths.mq.edu.au,
Algebra & Trigonometry, Weeks 7-12.
* D3 Stream
Ron Andrews  Office: E7A-301, ph: 9850 8918, email: ron@maths.mq.edu.au,

Tutorials and Tutors

Tutorials begin in Week 2. Times and allocations, as determined during enrolment, are listed on the Notice Boards on the 2nd Level at the Western end of the E7B Courtyard. Students are expected to attend regularly at the specified time.
Tutorials provide an opportunity for students to work exercises under supervision, and to ask individual questions. The value of tutorials should be proportional to your participation.
Tests and Quizzes are held during these tutorials.

As well as the lecturers, the following Mathematics staff take tutorial classes:

*
William Chen  Office: E6A-340, ph: 9850 8946, email: chen@ics.mq.edu.au
*
Xuan Duong  Office: E6A-384, ph: 9850 9584, email: duong@ics.mq.edu.au
*
Frances Griffin  Office: E7A-306, ph: 9850 8923, email: fgriffin@ics.mq.edu.au
*
Jeff Hogan  Office: E6A-340, ph: 9850 9540, email: jeffh@ics.mq.edu.au
*
Ross Moore  Office: E7A-419, ph: 9850 8955, email: ross@ics.mq.edu.au
*
Jan Hansen  Office: E7A-306, ph: 9850 8923, email: jhansen@ics.mq.edu.au

Lecture Times

D1 daytime offering
* A & C strands
Monday 9am, Algebra & Trigonometry, with Rod Yager or Ted O'Keeffe, in the Mason Theatre (E7B-T1).
* B & C strands
Monday 10am, Calculus, with Chris Cooper or Bon Clarke, in the Price Theatre.
* B & D strands
Tuesday 11am, Algebra & Trigonometry, with Rod Yager or Ted O'Keeffe, in the Price Theatre.
* practical class, all strands A-D
Tuesday 12 noon, with one of the lecturers, in the Price Theatre.
* A & D strands
Wednesday 9am, Calculus, with Chris Cooper or Bon Clarke, in the Mason Theatre (E7B-T1).
* A & C strands
Thursday 9am, Algebra & Trigonometry, with Rod Yager or Ted O'Keeffe, in the Mason Theatre (E7B-T1).
* B & C strands
Thursday 10am, Calculus, with Chris Cooper or Bon Clarke, in the Price Theatre.
* B & D strands
Thursday 11am, Algebra & Trigonometry, with Rod Yager or Ted O'Keeffe, in the Price Theatre.
* A & D strands
Friday 9am, Calculus, with Chris Cooper or Bon Clarke, in the Mason Theatre (E7B-T1).
* practical class, all strands A-D
Friday 10am, with one of the lecturers, in the Price Theatre.
E1 evening offering
*
Wednesday 6pm-8pm, Algebra & Trigonometry, with Rod Yager or Ted O'Keeffe, in E7B-T3.
*
Thursday 6pm-8pm, Calculus, with Chris Cooper or Bon Clarke, in E7B-T2.
D3 full-year offering
*
Wednesday 9am, with Ron Andrews, in E7B-T2.
*
Friday 9am, with Ron Andrews, in E7B-T3.

Textbooks, Lecture Notes and Recommended Reading

All students are expected to have access to a copy of the following:

* AFB
Aufmann, Barker and Nation, ``Precalculus'', 2nd edition, published by Houghton-Miflin Company, 1993.
* TG
Taylor and Gilligan, ``Applied Calculus'', 4th edition.
* MATH130 notes
a collection of miscellaneous notes and problems printed by Macquarie University and available from the University Co-op Bookshop.

The library contains a number of books which may be useful, including:

* HH
Hughes-Hallet, Gleason et al. ``Calculus'', published by Jacaranda-Wiley
* CU
Coppins and Umberger, ``College Mathematics'', published by Addison-Wesley Inc.
* FP
Flanders and Price, ``Algebra and Trigonometry''
Each of these books has been used as a MATH130 text, in some previous years.

Unit Outline

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: #4.1-4.4)
Differentiation, Integration as anti-differentiation.
(TG: #2.1-2.7, 3.1, 3.4, 6.1)
Assignment 1 due    
Exercises, Week 3
4 Angles, radians, introduction to Trigonometry.
(ABN: #5.1-5.4, 5.7)
Applications of differentiation, curve sketching, implicit differentiation.
(TG: #3.5-3.6, 4.1-4.5)
Quiz #1    
Exercises, Week 4
5 Trigonometric identities, addition formulae.
(ABN: #6.1-6.4)
Optimisation problems.
(TG: #4.6)
Test #1    
Exercises, Week 5
Easter + 1-week break: April 2-9
6 Linear equations, pairs of simultaneous equations.
(ABN: #1.6, 9.1)
Areas between curves, volumes of revolution.
(TG: #6.3-6.5)
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: #5.1-5.4)
Assignment 3 due
Exercises, Week 9
2-week break: May 10-21
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

Assessment

It is a compulsory requirement to submit reasonable attempts to at least 2 assignments, 1 quiz and the project.
Requests for Special Consideration will not be considered if this condition is not satisfied.
If illness or misadventure prevent you from meeting this requirement you should consult one of the lecturers.

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.

* Tests, 20%
Tests lasting 45 minutes will be held during the tutorial classes of Weeks 5 and 11. Worked solutions may be posted on the Web.
* Quizzes, 6%
Quizzes lasting about 10 minutes and consisting of short answers, will be held during the tutorial classes of Weeks 4 and 10.

* Project, 10%
Each student will be given their own Pacific Island, in the form of an equation that describes its size and shape.
The project involves using the techniques of algebra and calculus from the first six weeks to answer questions about the island.

* Final Exam, 60%
There also will be a three-hour final examination which will count 100%.

* Assignments, 4%
It is a compulsory requirement to submit reasonable attempts to at least 2 assignments, 1 quiz and the project.


Assignments

*
Assignment 1. Solutions.
*
Assignment 2. Solutions.
*
Assignment 3. Solutions.
*
Assignment 4. Solutions.


Tests

*
Test 1: 1A, 1B, 1C, 1D, 1X, 1Y, 1Z.
*
Test 2: 2A, 2B, 2C, 2D, 2X, 2Y, 2Z.


Ross Moore 1999-06-17