Numeracy Centre - C5A 225

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Quote of the Semester

The science of numbers ought to be preferred as an acquisition before all others, because of its necessity and because of the great secrets and other mysteries which there are in the properties of numbers. All sciences partake of it, and it has need of none.

Boethius

MUMS

Each Macquarie University Mathematical Skills module begins with a short diagnostic test (one, two, three and four). These tests should help you decide whether you need to work through entire modules, or just individual chapters. The documents below are in pdf: a small increase in magnification may be needed to display all formulae and graphics correctly. All suggestions and corrections are welcome.

Module One
1.1 Order of Operations	1.6 Signed Numbers
1.2 Factorization of Integers	1.7 Further Signed Numbers
1.3 Fractions	1.8 Power Laws
1.4 Fractions and Decimals	1.9 Introduction to Algebra
1.5 Percentages	1.10 Further Algebra
Module Two
2.1 Factors of Algebraic Expressions	2.6 Factorizing Algebraic Expressions
2.2 Solving Equations in One Variable	2.7 Logarithms and Exponentials
2.3 Algebraic Fractions	2.8 Introduction to Trigonometry
2.4 Introduction to Inequalities	2.9 Introduction to the Cartesian Plane
2.5 Arithmetic with Surds
Module Three
3.1 Functions	3.6 Arithmetic and Geometric Progressions
3.2 Graphs	3.7 Continuity and Limits
3.3 Trigonometry	3.8 Introduction to Differentiation
3.4 Further Trigonometry	3.9 Further Differentiation
3.5 Simultaneous Equations	3.10 Differentiating Special Functions
Module Four
4.1 More Differentiation	4.7 Polynomials
4.2 Introduction to Integration	4.8 Properties of Trigonometric Functions
4.3 Integrating Special Functions	4.9 Coming soon!
4.4 Applications of Integration	4.10 Coming soon!
4.5 Binomial Coefficients	4.11 Coming soon!
4.6 Sigma Notation	4.12 Induction

© Macquarie University 2004

This material is available free to all individuals, on the understanding that it is not to be used for financial gains, and may be downloaded and/or photocopied, with or without permission from the authors. However, this material may not be kept on any information storage and retrieval system without permission from the authors, unless such system is not accessible to any individual other than its owners.