Year 12 pre-requisites apply to this unit which need to be met before enrolling so that you have the assumed knowledge required to successfully study the unit.
KMA100 Introduction to Mathematics may be completed as an alternative to the Year 12 pre-requisite. Click here for more information.
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 practical 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 trigonometric, exponential and logarithmic functions. The notion of limits will be utilized to define continuity and differentiability of functions, emphasizing 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. 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. This unit is a required unit in the Bachelor of Science mathematics major and Bachelor of Engineering students.
Summary
| Unit name | Mathematics 1A |
| Unit code | KMA152 |
| 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
Learning Outcomes
- Solve a range of real-world problems by using basic mathematical concepts and techniques
- Solve differential calculus problems using appropriate mathematical techniques
- Solve integral calculus problems using appropriate mathematical techniques
- Use vectors in two and three dimensions to determine dot and cross products and to describe straight lines and planes.
Fee Information
2027 fee information will be available in August.
Requisites
Prerequisites
MTM415117 Mathematics Methods or higher) or (KMA003) or (KMA100)Teaching
| Teaching Pattern | All teaching will be coordinated from the Sandy bay campus. Hobart (On-Campus): 4x1-hr face-to-face lectorials and a 1x1-hr face-to-face tutorial per week. Launceston: 4x1-hr live stream of on-campus lectorials and 1x1-hr face-to-face tutorial per week. Off-Campus: 4x1-hr live stream of on-campus lectorials and 1x1-hr online tutorial per week. All lectorials and the online tutorial will be recorded and made available to both on/off campus students all semester. |
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| Assessment | Mid-Semester Test (20%)|End of year Exam (40%)|Problem-solving assignments (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. |
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The University reserves the right to amend or remove courses and unit availabilities, as appropriate.