Courses & Units

Mathematics 1A KMA152

Hobart

Note:

KMA152 & KMA154 are requisite first year units for majors in Mathematics, Physics & Engineering and are pre-requisites for many second year units.

Introduction

The applicability of calculus and linear algebra is so broad that fluency in it is essential for a successful career in a variety of areas including science and engineering. This unit is devoted to the conceptual and logical development of these two main areas of mathematics, gradually building the tools for solving innumerable problems of great practicle importance. In calculus part of the unit, a brief look at the Real Number System and their properties will lead us to the study of Functions in general and the study of special functions such as trogonometric, exponential and logarithmic functions. The notion of limits will be utilised to define continuity and differentiability of functions, emphasising the importance of understanding the material conceptually and graphically. This area will also help establish the technical skills necessary to solve problems arising in practical situations. One highlight of the unit will be the discussion of the Fundamental Theorem of Calculus, which unifies differential and integral calculus. The concept of Complex Numbers will also be introduced together with their
fundamental operations, basic knowledge of which is essential for the units involved in Real and Complex Analysis and Differential equations. An introduction to two and three dimensional vector spaces will be an essential part of the unit as the knowledge in that area is vital, particularly for studies in engineering and physics. If time permits, systems of linear equations and introduction to matrices is a potential chapter under Linear Algebra.

Summary

Unit name Mathematics 1A
Unit code KMA152
Credit points 12.5
College/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics
Coordinator Doctor Jason Cosgrove
Available as student elective? Yes
Delivered By University of Tasmania
Level Introductory

Availability

Location Study period Attendance options Available to
Hobart Semester 1 On-Campus Off-Campus International International Domestic Domestic

Key

On-campus
Off-Campus
International students
Domestic students
Note

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Key Dates

Study Period Start date Census date WW date End date
Semester 1 22/2/2021 23/3/2021 12/4/2021 30/5/2021

* 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 (see withdrawal dates explained for more information).

Unit census dates currently displaying for 2021 are indicative and subject to change. Finalised census dates for 2021 will be available from the 1st October 2020.

About Census Dates

Learning Outcomes

  • demonstrate a coherent understanding of the mathematics at first year undergraduate level by acquiring the ability to construct logical, clearly presented and justified arguments incorporating deductive reasoning.
  • exhibit depth and breadth of knowledge of the principles and concepts in this area of mathematics; In particular, you will be able to: 1. use the notion of a function conceptually and graphically to investigate, interpret or manipulate results, as the need arises. 2. use conceptual understanding of (a) limits, (b) continuity, (c) differentiability and (d) integrability of functions together with the associated technical skills to build mathematical models to physical problems and arrive at solutions which are logically sound. 3. move beyond the real number system and enjoy properties of complex numbers together with their algebraic manipulations; 4. use techniques of linear algebra, in particular, matrix algebra, to solve and represent solutions to systems of linear equations; 5. appreciate the applicability of Euclidean vector spaces and their geometry to solve simple geometrical problems. 6. understand the abstract concept of a vector space and its applicability to other area of mathematics. 7. understand rigorous mathematical proofs of standard theorems, lemmas or corollaries that you will encounter in your future studies in mathematics.
  • demonstrate strength of inquiry and problem solving capabilities through formulating and modelling practical and abstract problems arising in this level of mathematics, and interpreting results critically.
  • develop communication skills to present mathematical information using logical reasoning.
  • demonstrate responsibility of learning through proving (i) ability to self-direct learning to extend their existing knowledge and that of others, (ii) ability to work effectively and responsibly in an individual or team context.
Field of Education Commencing Student Contribution 1 Grandfathered Student Contribution 1 Approved Pathway Course Student Contribution 2 Domestic Full Fee
010101 $493.00 $493.00 not applicable $2,402.00
  • Available as a Commonwealth Supported Place
  • HECS-HELP is available on this unit, depending on your eligibility3
  • FEE-HELP is available on this unit, depending on your eligibility4

1 Please refer here more information on student contribution amounts.
2 Information on eligibility and Approved Pathway courses can be found here
3 Please refer here for eligibility for HECS-HELP
4 Please refer here for eligibility for FEE-HELP

If you have any questions in relation to the fees, please contact UConnect or more information is available on StudyAssist.

Please note: international students should refer to this page to get an indicative course cost.

Requisites

Prerequisites

MTM415117 Mathematics Methods or higher) or (KMA003)

Teaching

Teaching Pattern

On-Campus:  4x1-hr lectures and 1-hr tutorial.  Mandatory attendance in tutorials covering pre-tertiary material (marked as ‘Non-Compulsory tutorials’ in the timetable) may be required as determined by performance in an initial assessment.)

Off-Campus: 4x1-hr audio/video recorded lectures and 1-hr on-line tutorial.

AssessmentExamination - invigilated (internally) (10%)|Examination - invigilated (internally) (15%)|Examination - invigilated (externally - Exams Office) (60%)|Assignment (15%)
TimetableView 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.

LinksBooktopia textbook finder

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