MATH& 152 - Calculus II

5.0 Credits
The integral and its applications. Integration involving algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Graphing calculator required. Prerequisite: MATH& 151 or equivalent with a grade of 2.0 or higher.

Course-level Learning Objectives (CLOs)
Upon successful completion of this course, students will be able to:

Compute definite and indefinite integrals of the standard algebraic and transcendental functions. [REASON]
Use integration techniques (including substitution, partial fractions, integration by parts, trigonometric substitution and tables) to compute definite and indefinite integrals. [REASON]
Evaluate improper integrals. [REASON]
Compute approximations for definite integrals (using left-hand sum, right-hand sum, midpoint rule, trapezoid rule or Simpson’s rule) given data in graphical or table form. [REASON]
Compute approximations for definite integrals (using left-hand sum, right-hand sum, midpoint rule, trapezoid rule or Simpson’s rule) of functions. [REASON]
Apply the Fundamental Theorem of Calculus. [REASON]
Use integrals to compute the average value of a function. [REASON]
Use integrals to compute change in velocity given acceleration. [REASON]
Use integrals to compute displacement and total distance traveled given velocity. [REASON]
Use integrals to compute areas and volumes. [REASON]
Use integrals to determine the length of a curve. [REASON]
Use integrals to determine the work done on an object. [REASON]
Use slope fields to analyze solutions of a differential equation. [REASON]
Solve separable differential equations. [REASON]
Model exponential growth and decay using differential equations. [REASON]