This course covers topics in real analysis, single-variable and multivariable calculus, and vector calculus. The course starts with the
real number system, then discusses sequences and series in detail. Single-variable calculus is covered in detail with emphasis on
rigour and proofs. In the final section of the course, concepts and methods of multivariable calculus are covered but with less
emphais on proofs.
Students are familiar with the real number system, can determine
convergence-divergence of sequences and series, and are able to construct epsilon-delta proofs related to limits and continuity.
Students are familiar with the concepts of differentiation and integration and are able to apply the methods of single-variable calculus.
Students are able to apply concepts of continuity, differentiability, extrema and integrability of multivariable functions and evaluate various integrals (line, double, triple and surface integrals).