This course aims to ensure students acquire the mathematical skills and analytical capability to read higher level core physical chemistry courses which cover topics such as quantum chemistry, spectroscopy, kinetics, and thermodynamics
Equip students with adequate mathematical reading skills so that they can read and understand related mathematical content in the basic and popular scientific and engineering literature
Equip students with mathematical communication skills so that they can effectively and rigorously present their mathematical ideas to mathematicians, scientists and engineers.
Cartesian and Spherical Coordinates (CSC) Polar and spherical coordinates; Change of variables in double and triple integrals; Jacobians. Complex numbers (CN) Polar representation of complex number; de Moivre’s theorem; Euler’s formula. Vectors (V) Vector multiplications;Basis Sets; Transformation of basis vectors. Linear Algebra and Matrices (LAM) Determinants; Matrix operations; Matrix diagonalization; Eigenvector and eigenvalue; Coupled rate equations; Applications to other selected topics in quantum mechanics and optics. Summation,Series and Expansion of Functions (SSE) Maclaurin and Taylor series; Applications to chemical problems. Fourier Series & Transform (FST) Fourier Series; Fourier Transform Equations; Fourier Transform Infrared Spectroscopy; Free Induction Decay in NMR spectroscopy.