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MATH2061: Linear Mathematics and Vector Calculus (2012 - Summer Main)
| Unit: | MATH2061: Linear Mathematics and Vector Calculus (6 CP) |
| Mode: | Normal-Day |
| On Offer: | Yes |
| Level: | Intermediate |
| Faculty/School: | School of Mathematics and Statistics |
| Unit Coordinator/s: | |
| Session options: | Semester 1, Summer Main |
| Versions for this Unit: |
| Campus: | Camperdown/Darlington |
| Pre-Requisites: | (MATH1011 OR MATH1001 OR MATH1901 OR MATH1906) AND (MATH1014 OR MATH1002 OR MATH1902) AND (MATH1003 OR MATH1903 OR MATH1907). |
| Prohibitions: | MATH2001, MATH2901, MATH2002, MATH2902, MATH2961, MATH2067 |
| Brief Handbook Description: | This unit starts with an investigation of linearity: linear functions, general principles relating to the solution sets of homogeneous and inhomogeneous linear equations (including differential equations), linear independence and the dimension of a linear space. The study of eigenvalues and eigenvectors, begun in junior level linear algebra, is extended and developed. The unit then moves on to topics from vector calculus, including vector-valued functions (parametrised curves and surfaces; vector fields; div, grad and curl; gradient fields and potential functions), line integrals (arc length; work; path-independent integrals and conservative fields; flux across a curve), iterated integrals (double and triple integrals; polar, cylindrical and spherical coordinates; areas, volumes and mass; Green's Theorem), flux integrals (flow through a surface; flux integrals through a surface defined by a function of two variables, though cylinders, spheres and parametrised surfaces), Gauss' Divergence Theorem and Stokes' Theorem. |
| Assumed Knowledge: | None. |
| Timetable: | MATH2061 Timetable |
| T&L Activities: | Lectures: Three 1 hour lectures, one 1 hour tutorial and one 1 hour practice class per week. Practical Work: |
| Assessment Description: | One 2 hour exam, assignments, quizzes (100%) |
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| Unit has not been assigned any attributes yet. | ||
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