Student, who passed the course satisfactorily, will:
- learn complex numbers and complex-valued functions
- compute partial derivatives of functions of two or more variables
- learn how to change from one set of independent varaibles to another set in partial derivatives
- evaluate multiple integrals in Cartesian, polar, and cylindrical coordinates
- learn standard recipes for solving first order differential equations of types: separable, linear and homogoneous
- learn recipes for solving second order differential equations with constant coefficients
- learn the power series method for solving second order (linear, homogenous) differential equations with variable coefficients
- learn the "separation of variables" method in reducing a first or second order partial differential equation to a set of ordinary differential equations
- define expansion of a function into a set of orthogonal functions; learn Fourier series expansion of a given function
- learn two and three dimensional vectors and vector algebra
- learn properties of determinants and procedures for evaluating a determinant of any order
- learn solving linear simultaneous equations using alternative methods: Cramer's rule, Gauss elimination, matrix methods
- learn algebra of matrices
- learn matrix eigenvalue-eigenvector equations
- learn Newton-Raphson method for finding roots of functions