Mathematics 172
MATH 172: Calculus and Analytic Geometry II (GE)
Prerequisites: A grade of C or better in either MATH 171 or MATH 169
Credit hours: (4)
Covers applications of integration; techniques of integration; improper integrals; infinite sequences and series, including tests for convergence and power series representations of functions and Taylor’s Theorem; and calculus of parametric curves and polar coordinate systems.
Note(s): General Education and Scientific and Quantitative Reasoning designated course. Students may not receive credit for both MATH 172 and either MATH 152 or MATH 251.
Detailed Description of Course
The following topics will be covered:
1) Applications of the definite integral, including volumes of solids of revolution, arc length, area of surface of revolution, work, centers of mass, and moments of inertia
2) Integration techniques, including integration by parts, trigonometric substitution, partial fraction decomposition, tables of integrals, and software packages
3) Improper integrals
4) Introduction to differential equations, including separable equations
5) Infinite sequences and series, including tests for convergence and divergence
6) Power series representations of functions, including Taylor series
7) Calculus of parametric curves
8) Calculus of polar coordinate systems
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 on solving problems and as illustrative aids.
Student Goals and Objectives of the Course
Students are expected to learn the basic principles of Calculus and Analytic Geometry and to demonstrate the use of these principles in problem solving. In addition to paper and pencil problem solving, students will use appropriate graphing calculator and computer algebra system technology.
Students will be able to:
1) Interpret relationships among numeric, symbolic and graphical information as applied to the real world;
2) Solve problems using numeric, symbolic and graphical information
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.
Other Course Information
This course is primarily intended for freshman and sophomore students, especially those majoring in mathematics, computer science, the natural sciences, psychology, or economics. Students may not receive credit for both MATH 172 and either MATH 152 or MATH 251.
Review and Approval
November 7, 2017
March 01, 2021