Calculus 3

(2.5-3 Credit Hours) · Undergraduate

Calculus I Credits: 5 This is a continuation of first year Calculus, dealing with more advanced topics. Further techniques of integration, reduction formulas, volumes of revolution. Introduction to Hyperbolic functions and their inverses. Series and convergence. Improper Integrals. Some differential equations. Learning Outcomes: 1. Solve some definite integrals via reduction formulas. 2. Calculate volumes of revolution in straightforward instances. 3. State the definition of the hyperbolic functions and their inverses and properties of these functions. 4. Define the notion of limit of a sequence and be able to apply the comparison, ratio and root tests, and the integral test for convergence of series. 5. Evaluate improper integrals and so-called p-integrals. 6. Solve linear 1st and 2nd order diferential equations.