MATH& 152 - Calculus II

5 Credits
Integral calculus. The definition, interpretation and application of the definite integral. The Fundamental Theorem of Calculus, techniques of integration and definite integrals involving parametrically described curves. Introduction to differential equations. This class is taught either in traditional lecture mode or through individually tailored interactive computer instruction that provides the student’s primary method of learning, with the instructor available to assist students on an individual basis during the class period.

General education distribution area: Quantitative / Symbolic Reasoning.

Prerequisite(s): Completion of MATH& 151 with a 2.0 or higher, or placement by assessment.

Course Outcomes

Compute definite and indefinite integrals.
Use integration techniques (including substitution, partial fractions, integration by parts, trigonometric substitution and tables) to compute definite and indefinite integrals.
Evaluate improper integrals.
Compute approximations for definite integrals (using left-hand sum, right-hand sum, midpoint rule, trapezoid rule or Simpson’s rule) given a function, a graph, or numerical table.
Apply the Fundamental Theorem of Calculus.
Apply the concept of integrals to various geometric, contextualized, and non-contextualized problems.
Model position/velocity/acceleration and exponential growth/decay problems with differential equations and solve those differential equations.
Communicate using mathematical notation and language.