By the end of this course, a student would be expected to be able to: understand and use basic complex analysis into solving complex equations; have a familiarity with double and triple integrals, polar and spherical coordinates, line and surface integrals and coordinate transformations; use and understand the meaning of scalar and vector quantities, vector differential operators, div, grad and curl and properties; comprehend matrices, their order and type, operations, inverse and transpose, symmetry, orthogonality, Hermiticity and unitarity, determinants, eigenvalues and eigenvectors, use in solving linear systems of equations; be able to solve simple, linear first and second order differential equations.

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