Introduction to University Mathematics unit (KMA100)

Cradle Coast, Hobart, Launceston, Online

Introduction

This unit 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 unit 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 unit, 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 units and degree programs, including Mathematics 1A (KMA152) and Mathematics 1B (KMA154). The unit may also be taken as an elective to support study in science or other degree programs.

Summary

Unit name	Introduction to University Mathematics
Unit code	KMA100
Credit points	12.5
College/School	Sciences and Engineering School of Natural Sciences
Discipline	Mathematics
Coordinator	Doctor Jason Cosgrove
Available as an elective?	Yes
Delivered By	University of Tasmania
Level	Introductory

Availability

Specific information on 2027 unit availability will be available in August

Key Dates

Study Period	Start date	Census date	WW date	End date
Semester 2	4/7/2027	26/7/2027	29/8/2027	23/10/2027
Summer	3/1/2027	11/1/2027	24/1/2027	13/2/2027

* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (refer to How do I withdraw from a unit? for more information).

Unit census dates currently displaying for 2027 are indicative and subject to change. Finalised census dates for 2027 will be available from the 1st October 2026. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

Learning Outcomes

• 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.

Fee Information

2027 fee information will be available in August.

Requisites

Mutual Exclusions

You cannot enrol in this unit as well as the following:

KMA003 Mathematics Foundation Unit

Teaching

Assessment	Mid-Semester Test (20%)|Assignments (40%)|Final Exam (40%)
Timetable	View the lecture timetable | View the full unit timetable

Textbooks

Required	Required readings will be listed in the unit outline prior to the start of classes.

The University reserves the right to amend or remove courses and unit availabilities, as appropriate.