Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

Serves as a continuation of Calculus I. Integration and techniques of integration including the substitution ... Infinite series, power series, Maclaurin and Taylor series. Polar coordinates and areas ...

Partial derivatives, directional derivatives, the gradient, Lagrange multipliers and optimization. Double and triple integrals in Cartesian, polar and spherical coordinates. Vector fields and the ...