Calculus 2

Course aim

To develop concepts in calculus and apply them to problems using analytic and software techniques. To develop elementary skills for proving mathematical statements.

Course content

A review of the topics in Calculus 1 with a viewpoint of mathematical analysis, i.e. in more depth: proof of facts in limits and continuity, differentiation, integration.
Integration techniques: simple substitutions, integration by parts, rational functions and partial fractions, trigonometric substitutions.
Polar coordinates, equations of simple curves and integration.
L’Hopital’s rule.
Improper integrals. Sequences, convergence of sequences.
Infinite series, convergence tests for series, Maclaurin and Taylor series.
Calculus in two and three variables: limits and continuity, partial differentiation, illustration of multivariable optimisation problems.
Proofs of most theorems involved in the above topics.

Textbook(s)

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

Prerequisite(s)

Common to all relevant programs
Subject Area & Catalogue Number	Course Name
MATH 1054	Calculus 1

Corequisite(s)

Nil

Teaching method

Component	Duration
INTERNAL, MAWSON LAKES
Lecture	4 hrs (2x2 hrs) x 13 weeks
Tutorial	1 hour x 12 weeks
Computer Practical	1 hour x Wks 2,4, 6, 8, 10, 12

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

Assessment

Examination, Problem solving exercise

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 1)
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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.