MATH 2414 - Calculus II

4 Credits (4 hrs. lec., 1 hr. lab.) Differentiation and integration of exponential and logarithmic functions, techniques of integration, applications of the definite integral, the calculus of transcendental functions, parametric equations, polar coordinates, indeterminate forms and L’Hopital’s Rule, improper integrals, sequences and series. (2701016019) Prerequisite: College Level Readiness in Reading AND Writing, MATH 2413
Course Outcomes
1 - Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
2 - Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
3 - Define an improper integral.
4 - Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
5 - Determine convergence or divergence of sequences and series.
6 - Use Taylor and MacLaurin series to represent functions.
7 - Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
8 - Use the concept of parametric equations and polar coordinates to find areas, lengths of curves, and representations of conic sections.
9 - Apply L’hôpital’s Rule to evaluate limits of indeterminate forms.