MTH 211 - Calculus II
A second course in single variable calculus. Topics include techniques of integration, applications of definite integrals, first order separable differential equations, indeterminate limit forms, improper integrals, infinite series, Taylor polynomials, and power series. A specific calculator may be required of students in this course. Four class hours. (SUNY-M)
Prerequisite: MTH 210 with a grade of C or higher.
Course Learning Outcomes
1. Compute indefinite integrals using a variety of techniques which could include: substitution, integration by parts, trigonometric substitution, or partial fraction decomposition.
2. Formulate a definite integral to solve a variety of applications.
3. Evaluate a definite integral using the Fundamental Theorem of Calculus.
4. Estimate the value of a definite integral using one or more of the following techniques: the Midpoint Rule, the Trapezoid Rule, and Simpson’s Rule.
5. Estimate the value of a definite integral using a Taylor Polynomial.
6. Use L’Hopital’s Rule to evaluate a limit.
7. Evaluate an improper integral using the appropriate limit definition.
8. Translate verbal descriptions involving rates of change into differential equations.
9. Solve a separable differential equation using separation of variables.
10. Justify whether a given series converges or diverges.
11. Determine the interval and radius of convergence for a given power series.
Course Offered Fall and Spring