MAT272

Select and apply appropriate models and integration techniques to solve problems involving algebraic and transcendental functions; these problems will include but are not limited to applications involving volume, arc length, surface area, centroids, force and work.

Evaluate proper and improper integrals using various integration techniques.

Analyze the convergence and divergence of infinite sequences and series and find the Taylor and McLaurin representations for transcendental functions.

Use differentiation and integration to analyze the graphs of polar form equations and parametric form equations.

Solve separable and first-order linear differential equations.

Analyze and graph conic sections using calculus techniques.