2012-2013 Catalog 
    
    Feb 22, 2024  
2012-2013 Catalog [ARCHIVED CATALOG]

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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 (was MATH 152). Prerequisite: MATH& 151  (was MATH 151) or equivalent with a grade of 2.0 or higher.

Course Objectives
Upon successful completion of this course, students will be able to:

  1. Compute definite and indefinite integrals of the standard algebraic and transcendental functions. [REASON]
  2. Use integration techniques (including substitution, partial fractions, integration by parts, trigonometric substitution and tables) to compute definite and indefinite integrals. [REASON]
  3. Evaluate improper integrals. [REASON]
  4. 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]
  5. Compute approximations for definite integrals (using left-hand sum, right-hand sum, midpoint rule, trapezoid rule or Simpson’s rule) of functions. [REASON]
  6. Apply the Fundamental Theorem of Calculus. [REASON]
  7. Use integrals to compute the average value of a function. [REASON]
  8. Use integrals to compute change in velocity given acceleration. [REASON]
  9. Use integrals to compute displacement and total distance traveled given velocity. [REASON]
  10. Use integrals to compute areas and volumes. [REASON]
  11. Use integrals to determine the length of a curve. [REASON]
  12. Use integrals to determine the work done on an object. [REASON]
  13. Use slope fields to analyze solutions of a differential equation. [REASON]
  14. Solve separable differential equations. [REASON]
  15. Model exponential growth and decay using differential equations. [REASON]



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