Course Details
Country:
Australia
Institution:
University of South Australia
Course Title:
Calculus 2
Course Number:
MATH 1055
Course Description:
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.
Language:
English
Approved Equivalent:
MATH 114
Course URL:
https://study.unisa.edu.au/courses/101189
Attachment Files:
