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Mathematics 251

MATH 251
Calculus and Analytic Geometry III

1. Catalog Entry

MATH 251
Calculus and Analytic Geometry III

Credit hours (3)
Prerequisites: MATH 152

This course covers sequences and series, Taylor and power series, parametric curves, geometry higher dimensional spaces and vector-valued functions.  Mathematical software packages and graphing calculators will be used as illustrative and problem solving devices.

2. Detailed Description of Course

The following topics will be covered:
    1) Sequences, convergence
    2) Series, geometric series and telescoping series
    3) Convergence tests for series
    4) Taylor and power series
    5) Parametric Curves, polar coordinates
    6) Vectors in two and three dimensions, dot and cross products
    7) Lines planes and surfaces
    8) Cylindrical and spherical coordinates
    9) Vector-valued functions, tangent and normal vectors, arc length

3.    Detailed Description of Conduct of Course

Instructors will use a combination of lectures, group work and computer laboratory sessions. Some may require students to present homework problems to the rest of the class on a regular basis. Software packages and graphing utilities will be used in solving problems and as illustrative aids.

4.     Goals and Objectives of the Course

Students will be able to use the tools of mathematics and quantitative reasoning to conceptualize and solve problems.

Students will be able to:
    1) Identify and interpret relationships among numeric, symbolic and graphical information
    2) Generate mathematical models using numeric, symbolic and graphical information for use in
       real-world applications
    3) Solve problems using numeric, symbolic and graphical information

5. Assessment Measures

Graded tasks may include tests, quizzes, homework exercises, papers, class participation and attendance. Students will be required to demonstrate literacy in the use of mathematical software packages and/or graphing calculators as effective tools in problem-solving.

6. Other Course Information

This course is primarily intended for freshman and sophomore students, especially those majoring in mathematics, computer science, the sciences, psychology, or economics.

Review and Approval

September 2, 2014
October 2, 2012
August 16, 2005 Revision by Steve Arbury, Chair