University Of Limerick

**Calculus 2**

MS4022

Iowa State Course Substitution

**Calculus II**

MATH 166

Course Info

- International Credits:
- 6.0
- Converted Credits:
- 3.5
- Semester:
- Country:
- Ireland
- Language:
- English
- Course Description:
- Sequences and series: Limit of a sequence, convergence of a sequence; series, convergence, tests for convergence, absolute and conditional convergence. Power series. MacLaurin and Taylor series: Order notation, big-O, little-O notation, asymptotic equivalence, Taylor's Theorem and remainders, applications. Indefinite Integral: Integration of standard functions, techniques including integration by parts, substitution and partial fractions. Definite Integral: The limit of a Riemann sum, fundamental theorem of calculus, Area between two curves, Volumes of revolution, Improper integrals. Introduction to ordinary differential equations: Definition of an ODE, Linearity, first order variables separable, solution technique by integration. Introduction to functions of two real variables: Continuity, partial derivatives and their geometrical interpretation, Leibniz's rule, conditions (without proof) for maximum, minimum, saddle-point.

### Review

- Evaluation Date:
- May 7, 2015
- Evaluated:
- James Wilson
- Comments: