Nov 22, 2024  
2014-2015 Undergraduate Academic Catalog 
    
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2014-2015 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 137A - Calculus for Engineers II

4 lecture hours 0 lab hours 4 credits
Course Description
This course is a continuation of MA 137 . The ‘A’ designation after the course number indicates this is a special section taught by our Learning Resource Center staff. There are extra math lab hours built in as a requirement for successful completion of the course.
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• use Newton’s method to approximate the zeros of a function
• find the differential of a function and use it to approximate error
• integrate algebraic, exponential, trigonometric, logarithmic and inverse trigonometric functions
• evaluate a definite integral by the limit of Riemann sums and by Fundamental Theorem of Calculus
• use method of substitution to find indefinite and definite integrals
• use method of integration by parts
• integrate products and powers of trigonometric functions
• integrate functions using partial fractions
• integrate functions by using trigonometric substitution
• find areas between curves
• find volumes of solids of revolution using disk and washer methods
Prerequisites by Topic
• Graphing of functions
• Derivatives of algebraic, exponential, trigonometric, inverse trig and logarithmic functions
• Limits of algebraic and trigonometric functions
• Implicit derivatives
• Graphing using relative extrema
Course Topics
• Newton’s method of approximating zeros of a function (1 class)
• Differentials (1 class)
• Area problem and indefinite integrals (6 classes)
• The definite integral as the limit of Riemann sums and the Fundamental Theorem of Calculus (3 classes)
• Integration by substitution ( 5 classes)
• Areas between curves (2 classes)
• Rectilinear motion (1 class)
• Volumes by disk and washers (2 classes)
• Integration by parts (3 classes)
• Integration of products and powers of trig functions (2 classes)
• Integration using partial fractions (3 classes)
• Integration using trigonometric substitutions ( 1 class)
• Integration using tables (2 classes)
• Numerical integration (2 classes)
• Review and tests (6 classes)
Coordinator
Gina Moran


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