2012-2013 Catalog 
    Jun 21, 2024  
2012-2013 Catalog [ARCHIVED CATALOG]

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MATH& 153 - Calculus III

5.0 Credits
Infinite sequences and series, vectors and vector functions, functions of several variable, and partial derivatives. Graphing calculator required (was MATH 153). Prerequisite: MATH& 152  (was MATH 152) or equivalent with a grade of 2.0 or higher.

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

  1. Identify the different types of sequences and series. [REASON]
  2. Determine when a sequence or series is convergent or divergent. [REASON]
  3. Perform basic convergence tests (including the ratio test, comparison test and integral test). [REASON]
  4. Compute the radius and interval of convergence for a power series. [REASON]
  5. Compute the Taylor Series expansion of a function. [REASON]
  6. Perform vector arithmetic computations. [REASON]
  7. Compute using vector components. [REASON]
  8. Perform vector operations (including dot product, cross product and projections). [REASON]
  9. Find an equation of a line and plane using vector notation. [REASON]
  10. Differentiate and integrate vector-valued functions. [REASON]
  11. Find tangent and unit tangent vectors to a smooth curve at a point. [REASON]
  12. Compute curvature. [REASON]
  13. Find the unit normal and binormal vectors of a smooth curve defined by a vector-valued function. [REASON]
  14. Determine the tangential and normal components of the acceleration vector. [REASON]
  15. Convert points and equations between rectangular coordinates and polar coordinates. [REASON]
  16. Recognize and sketch graphs of equations in polar coordinates. [REASON]
  17. Construct graphs, find domains and ranges, and analyze continuity and differentiability of functions with two or more independent variables. [REASON]
  18. Write expressions for partial derivatives using limits. [REASON]
  19. Calculate partial derivatives using formulas. [REASON]

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