Dr. Christopher Raridan PhD in Mathematics, 2008 The University of Alabama Assistant Professor of Mathematics College of Information and Mathematical Sciences 2000 Clayton State Boulevard Morrow, Georgia 30260-0285 |
COURSE DESCRIPTION: This course provides a study of algebraic and transcendental functions with an emphasis on integral calculus and sequences and series. Other topics from single variable calculus include parametric equations and polar coordinates. Applications focus on functions which model real-world situations. COMMON LEARNING OUTCOMES: After successful completion of the course the student will be able to: 1. Apply standard integration techniques (change of variable, integration by parts, partial fractions, etc.) to evaluate a variety of integrals. 2. Solve problems requiring the application of the definite integral to topics such as areas between curves, volumes, work, arc length, etc. 3. Apply the required course software to analyze functions, their integrals, surfaces of revolution, infinite sequences, and infinite series. 4. Compute the Taylor polynomial for elementary functions of one variable. 5. Determine convergence and divergence of infinite series and apply the techniques to justify these assertions. 6. Construct the Taylor series and determine the radius of convergence for a variety of functions of one variable. In addition, the student will be able to apply these techniques to perform other calculus tasks such as differentiation and integration. |
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