Calculus I

Complex Numbers, Simple Cartesian Curves, Functions and Graphs, Symmetrical Properties, Curve Tracing, Limit and Continuity, Differentiation of Functions. Derivative as Slope of Tangent to a Curve and as Rate of Change, Application to Tangent and Normal, Linearization, Maxima/Minima and Point of Inflexion, Taylor and Maclaurin Expansions, Functions of Several Variables and Partial Differentiation. Integral as Anti-derivative, Indefinite Integration of Simple Functions.

Methods of Integration: Integration by Substitution, by Parts, and by Partial Fractions, Definite Integral as Limit of a Sum, Application to Area, Arc Length, Volume and Surface of Revolution.

Fourier Series: periodic functions, Functions of any period P = 2L, Even & odd functions, Half Range expansions.

This Course Will Map to PLO-1 and PLO-2