This learning unit uses calculus and analytical geometry to solve engineering problems. There is a strong emphasis on the application of mathematical theory to problem solving and in this respect it could be considered to be an applied mathematics module.
Topics include:
Logic, sets and functions
Real numbers
Convergent, null, divergent and monotone sequences
Infinite and power series
Continuous functions, limits and continuity
Differentiation theorems, differentiable polynomials, Taylor polynomials.
Integration, improper integrals, the Riemann integral