[MAT 119] Calculus with Analytic Geometry

Course Content

Functions, limits, continuity and derivatives. Applications. Extreme values, the Mean value Theorem and its aplications. Graphing. The definite integral. Area and volume as integrals. The indefinite integral. Transedental functions and their derivatives. L`Hopital`s rule. Techniques of integration. Improper integrals. Applications.

Course Learning Outcomes

At the end of the course students are expected to:

    Compute limits and carry out some basic proofs about limits and continuty,
    Compute derivates and use it in applications such as computing rates of change, finding extreme values,
    Sketch graphs of functions by finding intervals of increase /decrease, concavity and asymptotes,
    Use transcendental functions including logarithms, exponentials and inverse trigonometric functions effectively,
    Compute integrals by the Riemann Sum defintion and use it to make approximations,
    Make use of various techniques to compute proper and improper integrals,
    Use integration to compute area, volume.