Courses & Units

Mathematics 1A XPD127

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 XPD127
Credit points 12.5
College/School Academic Division
DVC - Education
Discipline University Pathways
Coordinator Mr Damien Palmer
Available as an elective? No
Delivered By Third Party(ies): UP Education
Level Introductory

Availability

This unit is currently unavailable.

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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;
  • 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

Fee Information

Field of Education Commencing Student Contribution 1,3 Grandfathered Student Contribution 1,3 Approved Pathway Course Student Contribution 2,3 Domestic Full Fee 4
not applicable

1 Please refer to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on eligibility for FEE-HELP.

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Requisites

Mutual Exclusions

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

KMA152

Teaching

AssessmentWeekly Assignments - Online Quiz (10%)|Weekly Assignments - Take Home Assignment (10%)|Weekly Assignments (20%)|Examination (60%)
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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