Mathematical logic and the principle of mathematical induction. Maple as a computational and graphical package. Engineering functions. Limits of functions. Derivatives and differentiation rules. Inverse functions, the logarithmic and exponential functions. Applications of differentiation. Optimisation problems. The tangent and normal line. Approximations using differentials. Linear and quadratic approximations. Integrals and integration by substitution.<br/>The definite integral. Fundamental theorem of calculus. Sequences. Infinite Series. Geometric series. Convergence/Divergence of series. Convergence/Divergence tests. Alternating series. Power series. Taylor series. Root finding... -- Course Website
