Calculus 1

Course aim

To provide an introduction to the understanding of mathematical principles and to introduce systematic problem solving techniques using both analytic and software approaches.

Course content

Introduction to the computer software program MATLAB and its applications.
Definition and properties of vectors, applications to the geometry of the plane, complex numbers, operations on complex numbers, modulus and its properties, functions and their graphs with applications to trigonometric, exponential, logarithmic and inverse functions, differentiation and applications to related rates problems and to maxima and minima problems, l’Hôpital’s rule, parametric representation of curves, solution of simple differential equations, visualisation of motion using computer software, integration of trigonometric and rational functions with applications to the calculation of simple plane areas and rates of change.

Textbook(s)

Edwards, C.H. and Penney, D.E 2008, Calculus: Early Transcendentals, 7th, Prentice Hall

Kleinfeld, E. and Kleinfeld, M 2001, Understanding Linear Algebra Using MATLAB, -, Prentice Hall, -

Jensen, G. 2008, Using MATLAB in Calculus, -, Prenctice Hall

Prerequisite(s)

Mathematics 1, or Mathematical Studies at Year 12, or equivalent

Corequisite(s)

Nil

Teaching method

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.

Assessment

Assignment, Final examination, Group project, In-class test

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
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* Equivalent Full Time Study Load. Please note: all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation.