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MATH212 (P1 W1)
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Advanced Calculus & Linear Algebra |
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16 |
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To give a coherent treatment of basic theories & problem solving techniques from Advanced Calculus and Linear Algebra and their applications. |
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Advanced Calculus: functions of several variables, partial derivatives, chain rules, implicit differentiation, extrema and Lagrange multipliers, multiple integrals, change of variables, line integrals with Green’s theorem. Linear Algebra: axioms of vector spaces, linear independence, bases and dimension, matrices and linear transformations, eigenvectors and eigenvalues, diagonalization, inner product spaces, Gram-Schmidt process, orthogonal matrices, linear differential equations, quadratic surfaces. |
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Class tests and/or assignments (33%), 3 h exam (67%). |
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Class record 35%. 80% attendance at lectures and tutorials. |
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in Semester 1. Credit may not be obtained for MATH212 and MATH238. |