Math 273 Course Syllabus
Sandhills Community College
Department of Mathematics
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| Course: |
MAT 273 Calculus III |
| Credit Hours: |
4 |
| Lecture Hours: |
5 per week |
| Lab Hours: |
0 per week |
| Prerequisite: |
Math 272 with a grade of C or better |
| Corequisite: |
None |
| Course Description: |
This course covers the calculus of several variables and is the third calculus course in a three-course sequence. Topics include functions of several variables, partial derivatives, multiple integrals, solid analytical geometry, vector-valued functions, and line and surface integrals. Upon completion, students should be able to solve problems involing vectors and functions of several variables.This course has been approved to satisfy the Comprehensive Articulation Agreement general education core requirement in natural science/mathematics. |
Text:
(Subject to change) |
Calculus, 8th edition by Larson, Hostetler, and Edwards, Houghton Mifflin Company, Boston and New York, 2006, ISBN: 0-618-50298-X
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| Goals and Objectives: |
The student should be able to model and solve application problems while learning to:
- Find the domain of and sketch the curve represented by a vector-valued function and describe the graph of the function
- Find the derivative or integral of a vector-valued function
- When given a position function r, find the velocity, speed, and acceleration of an object
- Find the arc length of a space curve
- Give an example of a function of several variables and describe in general the graph of the function
- Find partial derivatives of a function of several variables
- Apply the appropriate chain rule to a function of several variables
- Work a problem involving a directional derivative or gradient for a function of several variables
- Examine a function of several variables for relative extrema and saddle points
- Evaluate a double integral
- For a double integral, sketch the region of integration
- Use a double integral to evaluate a volume
- Work with cylindrical or spherical coordinates
- Set up and evaluate a triple integral
- Determine whether a vector field is conservative
- Evaluate a line integral
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| General Education: |
Students who are successful in this course will improve in the following general education areas: reading, oral communication, mathematical skills, problem solving, critical thinking, and cooperating with others.
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| Course
Requirements: |
A graphing calculator is required for this course in addition to the textbook.
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| Grading Scale: |
| Grading scale: |
| 90 - 100 = A |
| 80 - 89 = B |
| 70 - 79 = C |
| 60 - 69 = D |
| Below 60 = F |
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