Linear Algebra

(3-4 Credit Hours) · Undergraduate

This unit is required for students intending to major in Applied or Pure Mathematics or Mathematical Statistics, students in Engineering and students in some of the physical sciences. It is also suitable for other students wishing to have a strong mathematics component in their degrees. Topics include methods of proof, logic and mathematical induction; infinite sequences, bounded and monotone sequences; limits and continuity of functions; differentiability; integration; the fundamental theorem of calculus; Taylor polynomials; infinite series, absolute and conditional convergence, power series, ratio and comparison tests; vector geometry; systems of linear equations and Gaussian elimination; matrix algebra; subspaces, linear independence, bases and dimension, the rank-nullity theorem for matrices; eigenvalues and eigenvectors.