Integration techniques: substitution, integration by parts, integration of rational functions and powers of trig functions, integration of trigonometric and other substitutions. Further applications of definite integrals: area between curves, volumes of solids of revolution, arc length, surface area, work, applications from sciences. Cauchy’s mean vale theorem, L’Hospitals rule, application to indeterminate forms. In finite sequence and series, tests for convergence and divergence, power series, Taylor and MacClaurin series with remainders, conic sections, polar coordinates, polar graphs, area and arc length.
- Lecturer/Tutor: Lynne Kuraibal