Calculus of several variables
4 points * First/Second semester * Clayton * Prerequisites: MAT1020 * MAT2040 is recommended * Prohibitions: GAS2612, GAS2623, MAT2010, MAT2910
Objectives On the completion of this subject students will be able to understand basic concepts in multivariable calculus and its applications in a number of areas of mathematics and science; they will be able to calculate line, double, triple and surface integrals; comprehend the concepts of gradient, divergence and curl; use the divergence theorem and Stokes' theorem; they will be acquainted with the computer algebra package Maple and be able to use it to solve simple problems in the area of the subject.
Synopsis Functions of several variables, extreme values, Lagrange multipliers. Multiple integrals, line integrals, surface integrals. Vector differential calculus; grad, div and curl. Integral theorems of Gauss and Stokes. Functions of a complex variable. Use of a computer algebra package.
Assessment Examination (1.5 hours): 85% * Tests and/or assignments: 15%
Prescribed texts
Kreyszig E Advanced engineering mathematics 7th edn, Wiley, 1993
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