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Catalog Course Search Details

 Course Title:   Calculus III

 Title Abbreviation:   CALCULUS III

 Department:    MATH&

 Course #:    153

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2014

 Course Description  

This course covers polar coordinates, parametric equations, and vectors in space, vector-valued functions, and infinite series. A graphing calculator is required.


Prerequisite: MATH& 152 with a grade of C or higher.

Additional Course Details

Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic Natural Sciences, Quantitative  

Equivalencies At Other Institutions

Other Institution Equivalencies Table
Institution Course # Remarks
CWU 272.1
OTHER Meets GUR at 3 BIS
U of W 126
WSU 273
WWU T 224

Learning Outcomes

After completing this course, the student will be able to:

  1. Use and understand polar coordinates.
  2. Find area in polar coordinates.
  3. Demonstrate an understanding of and work with parametric equations.
  4. Find the derivative and integral of vector-valued functions.
  5. Use vector-valued functions to determine velocity and acceleration.
  6. Calculate and use the dot product in space.
  7. Calculate and use the cross product in space.
  8. Use both cylindrical and spherical coordinates.
  9. Find the arc length and curvature of vector functions.
  10. Solve applied problems.
  11. Apply alternative mathematical techniques, from a historical perspective where appropriate.
  12. Understand how mathematics is used in other fields and occupations.
  13. Understand the use of mathematics cross-culturally.
  14. Understand and use sequences and series
  15. Use the integral, comparison, ratio, and root tests
  16. Understand and use power, Taylor, Maclaurin and Binomial series

General Education Learning Values & Outcomes

Revised August 2008 and affects outlines for 2008 year 1 and later.

2. Critical Thinking

Definition: The ability to think critically about the nature of knowledge within a discipline and about the ways in which that knowledge is constructed and validated and to be sensitive to the ways these processes often vary among disciplines.

Outcomes: Students will be able to . . .
2.1 Identify and express concepts, terms, and facts related to a specific discipline.
2.3 Identify, interpret, and evaluate pertinent data and previous experience to reach conclusions.
2.9 Apply and/or create problem-solving strategies to successfully adapt to unpredictable and/or changing environments.

3. Communication

Definition: Understanding and producing effective written, spoken, visual, and non-verbal communication.

Outcomes: Students will be able to . . .
3.6 Recognize, comprehend, and use visual communication appropriate to a given context.

8. Mathematical Reasoning

Definition: Understanding and applying concepts of mathematics and logical reasoning in a variety of contexts, both academic and non-academic.

Outcomes: Students will be able to . . .
8.1 Analyze problems to determine what mathematical principles apply.
8.2 Correctly apply logical reasoning and mathematical principles to solve problems.
8.3 Interpret information and reasoning expressed mathematically (for example in spreadsheets, diagrams, charts, formulas, etc.).
8.4 Communicate mathematical information effectively.

10. Technology

Definition: Understanding the role of technology in society and using technology appropriately and effectively.

Outcomes: Students will be able to . . .
10.3 Use technology appropriate to the context and task to effectively retrieve and manage information, solve problems, and facilitate communication.

Course Contents

  1. Alternate coordinate systems
  2. Vector Geometry in space
  3. Vector Functions
  4. Parametric equations and polar coordinates
  5. Infinite series