Text for Bridging Courses
Each Macquarie University Mathematical Skills (MUMS) 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.
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|1.1 Order of Operations||1.6 Signed Numbers|
|1.2 Factorisation 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|
|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|
|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|
|4.1 More Differentiation||4.7 Modifying Functions|
|4.2 Introduction to Integration||4.8 Composite and Inverse Functions|
|4.3 Integrating Special Functions||4.9 Exponentials and Logarithms|
|4.4 Applications of Integration||4.10 Sigma Notation|
|4.5 Polynomials||4.11 Counting|
|4.6 Properties of Trigonometric Functions||4.12 The Binomial Theorem|
© Macquarie University 2015
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