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Bridging Mathematics B (MAST10026)

Undergraduate level 1Points: 12.5On Campus (Parkville)

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Overview

Availability
Semester 2 - On Campus
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Bridging Mathematics B provides a pathway for students to continue their mathematical training to meet the mathematics entry requirement for the Bachelor of Science and the Bachelor of Commerce at the University of Melbourne.  

Bridging Mathematics B covers the following topics: 

Monomials and Systems of Equations, Polynomials and Function Transformations; Trigonometric Functions, Exponentials and Logarithms; Limits, Continuity and Asymptotes; and Differential and Integral Calculus  

This subject is only available for enrolment for students enrolled in the University of Melbourne Uni Ready Enabling Program.

This subject is not available for credit as part of any undergraduate course at the University of Melbourne.

Intended learning outcomes

On completion of this subject, students should be able to:

  • Analyse and sketch polynomial functions, including straight lines and quadratics, and perform polynomial long division.
  • Apply standard techniques to transform graphs of functions through translation, dilation, and reflection.
  • Explain the properties of exponential and logarithmic functions, sketch their graphs, and solve exponential and logarithmic equations using appropriate laws.
  • Interpret core trigonometric ratios (sine, cosine, and tangent) using the unit circle, sketch graphs of transformed trigonometric functions, and solve trigonometric equations.
  • Construct and solve problems using linear, exponential, logarithmic, and trigonometric models with applications in research, industry and everyday life.
  • Define the derivative of a function from first principles, and differentiate polynomials, exponential, logarithmic, and trigonometric functions using power, product, quotient, and chain rules.
  • Apply differential calculus to analyse functions, including finding and classifying stationary points, extrema and solving related-rates problems.
  • Perform antidifferentiation using integral calculus and calculate areas beneath a curve and between two curves.

Generic skills

Students who successfully complete this subject will demonstrate:
•    problem-solving skills: the ability to engage with unfamiliar problems in a variety of contexts and identify relevant solution strategies
•    numeracy skills: the ability to understand and work with numerical and symbolic representation of ideas
•    analytical skills: the ability to construct clear and logical arguments and effectively justify reasoning
•    conceptual skills: the ability to see connections across topics, to help organise thinking and frame big picture views
•    collaborative skills: the ability to work in a team and actively participate and engage collaboratively in a task
•    time-management and organisational skills: the ability to meet regular deadlines while balancing competing commitments
•    capacity for learning in a higher education environment: the ability to engage productively in active learning

Last updated: 6 November 2025