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| MA 26100 - Multivariate Calculus |
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Credit Hours: 4.00. Planes, lines, and curves in three dimensions. Differential calculus of several variables; multiple integrals. Introduction to vector calculus. Not open to students with credit in MA 27100.
0.000 OR 4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Know the equations for lines, planes and quadric surfaces in three dimensional space, and understand how these equations relate to the geometry. 2. Understand the relationship between vector functions and parametrized motion; know how to calculate velocity, acceleration, arc length and curvature. 3. Know the meaning of partial derivatives and how to calculate them. Know the multivariable chain rule. 4. Know the meaning of the gradient, how to calculate it, and how to apply it to directional derivatives and maximum and minimum values. 5. Understand the meaning of double and triple integrals; know how to compute them and how to apply them. 6. Understand the meaning of vector fields and line integrals. Know Green's theorem and be able to apply it. 7. Understand the meaning of surface integrals and know how to calculate them. Know Stokes' theorem and be able to apply it. Prerequisites: Undergraduate level MA 16200 Minimum Grade of C- or Undergraduate level MA 16600 Minimum Grade of C- or Undergraduate level MA 17300 Minimum Grade of C- or Undergraduate level MA 18100 Minimum Grade of C- or Undergraduate level MATH 16400 Minimum Grade of C- or Undergraduate level MA 17100 Minimum Grade of C- or Undergraduate level MA 16400 Minimum Grade of C- or Undergraduate level MATH M2160 Minimum Grade of C- or Undergraduate level MA 16900 Minimum Grade of C- or Undergraduate level MATH 16600 Minimum Grade of C- |
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