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What you'll be able to do (official learning outcomes)
describe the properties of different types of functions and be able to sketch them in both 2D Cartesian and polar coordinates
show how smooth functions can be expressed in terms of power series
explain the properties of complex numbers and construct some basic complex functions
employ matrix notation, carry out matrix algebra and use matrices to solve systems of linear equations
compute the properties of determinants, be able to evaluate them, and use them to test for unique solutions of linear equations; and
solve first and second order ordinary differential equations using a range of techniques
Course contents
Partial differential equations. Solution of boundary value problems of partial differential equations by various methods which include separation of variables, the method of integral transforms. Sturm-Liouville theory; uniqueness of solutions. Calculus of residues and applications to evaluation of integrals and summation of series.
Source: the Nigerian Universities Commission (NUC) Core Curriculum and Minimum Academic Standards (CCMAS). StudyOps loads this syllabus automatically when you study PHY 404.