COURSE PROFILE

  1. Course Title:Analytic Geometry and Calculus III
    Short Title:Analytic Geom & Calculus III
  2. Course Number:MTH: 230
  3. Course Level:200-299 Advanced level credit courses
  4. Course Description:

Solid analytic geometry, vectors in two and three dimensions, differential calculus of functions of more than one variable, partial derivatives, directional derivatives, gradients, multiple integration, and an introduction to the calculus of vector fields.

  1. Credit Hours:5.00
  2. Weekly contact hours:
  3. Lecture Hours:5.00
  4. Lab Hours:0.00
  5. Studio Hours:0.00
  6. Activity Hours:0.00
  7. Clinical Hours:0.00
  8. Workplace Learning Hours:0.00
  9. Other Hours:0.00
  10. Requisites:

Prerequisite: MTH 220 with a grade of "C" or better and
Prerequisite: Reading Proficiency

  1. Upon successful completion of the course, the student will know or understand:
  2. vectors and vector-valued functions
  3. functions of several variables
  4. multiple integration
  5. vector analysis
  1. Upon successful completion of the course, the student will demonstrate the ability to:
  2. a) Students will use vectors and the dot and cross products to find lines, planes, and surfaces in space.
  3. Students will differentiate and integrate vector-valued functions.
  4. Students will use these techniques in applications, including velocity, acceleration, tangent and normal vectors, arc length, and curvature.
  5. b) Students will extend the concepts of limits, continuity, and differentiation to functions of several variables.
  6. Students will calculate partial derivatives, gradients, and extrema to analyze three dimensional surfaces and selected application problems.
  7. c) Students will calculate multiple integrals.
  8. Students will use multiple integrals to calculate areas, volumes, centers of mass, and surface area
  9. d) Students will identify vector fields.
  10. Students will calculate line integrals and surface integrals to solve application problems involving work and fluid flow. Green's Theorem and Stoke's Theorem will be used to perform some of the calculations.
  1. Minimum Requirements:
  2. Testing: Students will complete written tests in class, including a comprehensive final exam.
  3. Writing Requirements: Writing assignments beyond what is necessary for the tests are encouraged but not required.
  4. Projects: Projects involving technology and applications of the material are encouraged but not required.
  5. Other (please specify): Homework is assigned so the student may practice using the vocabulary and the methods discussed in class. This practice is directly related to test performance and in that sense is a course requirement.