Introduction to University Mathematics
UndergraduateTAS-KMA1002026
Enrol today with instant approval and no entry requirements
- Study method
- 100% online
- Assessments
- Subject may require attendance
- Enrol by
- 28 June 2026
- Entry requirements
- No ATAR needed, No prior study
- Duration
- 12 weeks
- Start dates
- 6 July 2026
- Price from
- $2,919
- Upfront cost
- $0
- Loan available
- HECS-HELP and FEE-HELP available
Introduction to University Mathematics
About this subject
Upon successful completion of this subject, the student should be able to:
- Use mathematical terminology and notation to convey information related to elementary algebra, functions, graphs, differential and integral calculus under invigilated conditions.
- Evaluate expressions and solve equations that contain linear, rational, quadratic, power, exponential, logarithmic or trigonometric expressions.
- Apply the product, quotient and chain rules of differentiation and anti-differentiation rules of integration to functions.
- Plot functions using algebra and calculus techniques to determine the x and y intercepts, and stationary points on the graph of a function.
- Apply algebra properties, function transformations and calculus techniques to interpret and solve simple real-world mathematical problems.
- Module 1: Introduction, Expected Prior Knowledge, and Quadratic
- Module 2: Graphs and Polynomials
- Module 3: Logarithms and Exponentials
- Module 4: Trigonometry
- Module 5: Differentiation
- Module 6: Integration
This subject is designed to help you build the mathematical skills and confidence needed for university study. Mathematics plays an important role in many fields of study and helps you develop logical thinking, problem‑solving, and analytical skills that are useful well beyond the classroom.
You will learn the basic concepts of numbers and algebra, progressing to the study of functions, including trigonometric, exponential, and logarithmic functions. The subject introduces differentiation from first principles and shows how derivatives are used to solve real‑world problems through graph sketching and optimisation. You will also learn the basics of integral calculus, with applications such as finding areas under curves. Throughout the subject, emphasis is placed on understanding concepts both visually and conceptually.
Successful completion of Introduction to University Mathematics meets the prerequisite equivalent to pre‑tertiary Mathematics Methods 4 (MTM514117) for selected University of Tasmania subjects and degree programs, including Mathematics 1A (KMA152) and Mathematics 1B (KMA154). The subject may also be taken as an elective to support study in science or other degree programs.
- Mid-Semester test (20%)
- Examination (40%)
- Assignments x 6 (40%)
For textbook details check your university's handbook, website or learning management system (LMS).
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Entry requirements
No entry requirements
Study load
- 0.125 EFTSL
- This is in the range of 10 to 12 hours of study each week.
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What to study next?
Once you’ve completed this subject it can be credited towards one of the following courses
Diploma of University Studies (Science Pathway)
UndergraduateTAS-USS-DIP
UndergraduateTAS-PHA-DIP
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