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What are Maths Bridging Course Modules?

The Bridging Course modules have been specifically designed to cover the prerequisite knowledge required to undertake the following First-Year maths courses:

Who should enrol in the Bridging Course modules?

  • Students who are required to take one of the First-Year maths courses above as part of their degree program, but who do not have the prerequisite knowledge, are required to complete one or more of the bridging modules.
  • Students who have the prerequisites but would like a refresh their knowledge, are welcome to enrol in the bridging modules.

Diagnostic Test

Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.

 

Which Maths Bridging Module(s) should students take? 

A diagnostic test is available to help students determine which module(s) to undertake. Take the test here

More Information

Further information about the ANU First-Year Maths Bridging Modules can be found here.

Maths Bridging Modules delivery and dates

There are 3 separate Bridging Modules that will run from early January to early-February 2023.

Each module will consist of two hours of lectures in the morning and a two-hour workshop in the afternoon.

All courses will be delivered online

  • Module 1 - designed to prepare students for MATH1003 – 4-13 January 2023

          This course is offered over 8 consecutive working days

  • Module 2 - designed to prepare students for MATH1013 – 16 January - 27 January 2023

          This course is offered over 9 consecutive working days

  • Module 3 - designed to prepare students for MATH1115 – 30 January - 9 February 2023

          This course is offered over 9 consecutive working days          

It is not recommended that students enrol in all 3 modules unless they feel they would benefit from completing Module 1 as revision.

Wed 04 Jan 2023 - Fri 13 Jan 2023

10:00 - 15:00

8 Sessions

Online

Tamiru Jarso

Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.

Module 1 - designed to prepare students for MATH1003

This course is offered over 8 consecutive working days.

  • Basic set theory: definition of a set, intersection, union, complement. [One lecture]
  • Real numbers, inequalities, distance between two points, absolute value. [One lecture]
  • Equation of a straight line (slope formula, point-slope equation, slope-intercept), parallel lines, perpendicular lines. [One lecture]
  • Polynomials, long division, factoring polynomials, completing the square, finding roots.[One lecture]
  • How to solve an equation (factoring, completing the square, quadratic formula). [One lecture]
  • Complex numbers: imaginary unit, sum, difference, multiplication, conjugate, reciprocal, quotient of two complex numbers, quadratic equations. [One lecture]
  • How to solve inequalities: interval notation, properties, combined inequalities, inequality involving absolute value. [One lecture]
  • Functions and their graphs: domain,composite functions, even and odd functions, minima and maxima, piecewise defined functions, vertical and horizontal shifts, streches and compressions, reflection. [One lecture]
  • Rational functions: properties, domain of a rational function, graphs, asymptotes. [One lecture]
  • Exponential and logarithm functions. [Two lectures]
  • Trigonometric functions and trigonometric identities. [Two lectures]
  • Polar coordinates, polar equations and graphs, converting from rectangular to polar and from polar to rectangular. [One lecture]
  • Vectors: direction and magnitude, position vector, addition and subtraction, unit vector, dot prduct, cross product. [One lecture]
  • Binomial Theorem. Counting and probability: counting formula, permutations and combinations, compound probabilities. [Two lectures]
  • Basic calculus: finding limits, one-sided limits, continuous functions. [One lecture]
  • Basic calculus: Derivative of a function: product, quotient, chain rule. [One lecture]
  • Basic calculus: Anti-differentiation, definite integral, area under a curve. [One lecture]

Mon 16 Jan 2023 - Fri 27 Jan 2023

10:00 - 15:00

9 Sessions

Online

Tamiru Jarso
9 spots remaining.

Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.

Module 2 - designed to prepare students for MATH1013

This course is offered over 9 consecutive working days

  • Functions: Definition, Graph of a Function, Composite Functions. [One lecture] 
  • How to solve inequalities: interval notation, properties, combined inequalities, inequality involving absolute values. [One lecture]
  • Polynomial Functions; Real and Complex Zeros. [One lecture]
  • One to One Functions and Inverse Functions. [One lecture]
  • Exponential and logarithm functions [One lecture]
  • Exponential and Logarithmic Equations. [One lecture]
  • Trigonometric Functions. [One lecture]
  • Inverse Trigonometric Functions. [One lecture]
  • Trigonometric Identities: Sum and Difference Formulas, Double and Half Angles
  • Limits and Continuity. [One lecture]
  • Limits Involving Infinity. [One lecture]
  • The Tangent Problem, Definition of the Derivative. [One lecture]
  • Rules for Differentiation. [One lecture]
  • Derivatives of the Trigonometric Functions. [One lecture]
  • Product Rule, Quotient Rule, Chain Rule. [One lecture]
  • Implicit Differentiation and related rates. [One lecture]
  • First and Second Derivatives; Curve Sketching. [One lecture]
  • Antiderivatives. [One lecture]
  • The Area Problem; the Definite Integral. [One lecture]
  • Evaluating Definite Integrals: The Fundamental Theorem of Calculus. [One lecture] 
  • The Substitution Rule.[One lecture]
  • Integration by Parts. [One lecture]
  • Areas between Curves. [One lecture]


Mon 30 Jan 2023 - Thu 09 Feb 2023

10:00 - 15:00

9 Sessions

Online

Tamiru Jarso

Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.

Module 3 - designed to prepare students for MATH1115

This course is offered over 9 consecutive working days 

  • Functions and their representations. [One lecture]
  • How to solve inequalities: interval notation, properties, combined inequalities, inequality involving absolute values. [One lecture]
  • Precise definition of a limit. [One lecture] 
  • Limits and continuity. [One lecture]
  • Limits involving infinity. [One lecture] 
  • Formal definition of derivative and rules for differentiation [One lecture]
  • Implicit differentiation. [One lecture]
  • Trigonometric functions and their inverse. [One lecture]
  • Hyperbolic functions and their inverse. [One lecture] 
  • Indeterminate forms and L’Hopital’s Rule. [One lecture] 
  • First and second derivatives; curve sketching. [One lecture]
  • Antiderivatives. [One lecture]
  • The area problem; the definite integral. [One lecture]
  • Evaluating definite integrals: The Fundamental Theorem of Calculus. [One lecture]
  • The Substitution Rule.[One lecture]
  • Integration by Parts. [One lecture]
  • Trigonometric integrals and substitutions. [Two lectures]
  • Partial Fractions. [Two lectures]

  • Self-paced course. Start any time.

    Diagnostic Test

    Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.

    Which Maths Bridging Module(s) should students take? 

    A diagnostic test is available to help students determine which module(s) to undertake.