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MATH248 (H2)
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Mathematics 2B (Eng) |
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16 |
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To exhaustively cover linear differential equations, eigenvalue theory, & prepare students for more advanced methods. |
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Laplace transforms. Inversion by partial fractions and basic manipulations. Linear ODE's with constant coefficients, use of Laplace transforms in solving equations & systems. Vector spaces, dimension, basis, linear transformations. Eigenvalues & eigenvectors. Diagonalization. Inner product, projections, orthogonal transformations. Applications. Functions of a complex variable, analytic functions, Cauchy-Riemann equations. Integration. Path independence of integrals, Cauchy-Goursat theorem. Cauchy integral formula; simple applications. |
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Class tests and/or assignments (20%), 3 h exam (80%). |
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35% Class mark, 80% attendance at lectures & tutorials. |
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in Semester 1. Offered to students in the Faculty of Engineering. Credit may not be obtained for MATH241 and MATH248. |