MATH& 152 - Calculus II

5.0 Credits
The integral and its applications. Integration involving algebraic, exponential, logarithmic, trigonometric, and inverse-trigonometric functions.
Prerequisite MATH& 151 with a minimum grade of 2.0.
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.
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 data in graphical or table form.
Compute approximations for definite integrals (using left-hand sum, right-hand sum, midpoint rule, trapezoid rule, or Simpson’s rule) of functions.
Apply the Fundamental Theorem of Calculus.
Use integrals to compute the average value of a function.
Use integrals to compute change in velocity given acceleration.
Use integrals to compute displacement and total distance traveled given velocity.
Use integrals to compute areas and volumes.
Use integrals to determine the length of a curve.
Use integrals to determine the work done on an object.
Use slope fields to analyze solutions of a differential equation.
Solve separable differential equations.
Model exponential growth and decay using differential equations.