Not too easy. Not too difficult.
This course is very challenging but can be very rewarding if the right amount of time is spent.
Week 1 Functions and Models; Limits and Continuity graphing with maple; trigonometric functions and their inverses, trigonometric formulas; limit laws. Week 2 Functions and Models; Limits and Continuity limit laws; more limit laws, continuity. Week 3 Limits and Continuity; Rates of Change intermediate value theorem; limits at infinity; rates of change, the tangent and velocity problems, applications to the sciences; derivatives, the derivative as a function; differentiation formulas; higher order derivatives; derivatives of trigonometric functions; Week 4 Differentiation the chain rule; implicit differentiation; derivatives of inverse trigonometric, logarithmic, and hyperbolic functions; logarithmic differentiation. Week 5 Applications of Differentiation rates of change in the natural and social sciences; related rates. Week 6 Applications of Differentiation linear approximations; Fermat’s Theorem, Max and Min Values; the Closed Interval Method; Rolle’s Theorem, the Mean Value Theorem. Week 7 Applications of Differentiation how derivatives affect the shape of a graph; L’Hopital’s Rule; summary of curve sketching; optimization problems.
Hours per week:
Advice for students:
do your damn homework kids. its the difference between a pass or a fail.