Nov 11, 2019
MATH& 152 - Calculus II
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 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.
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