| This course is designed to develop advanced topics of differential and integral calculus. Emphasis is placed on the applications of definite integrals, techniques of integration, indeterminate forms, improper integrals, infinite series, conic sections, parametric equations, polar coordinates, and differential equations. Upon completion, students should be able to select and use appropriate models and techniques for finding solutions to integral-related problems with and without technology. This course has been approved for transfer under the Comprehensive Articulation Agreement as a general education course in Mathematics. |
| Competencies |
·Student Learning Outcomes
·1. Select and apply appropriate models and integration techniques to solve problems involving algebraic and transcendental functions; these problems will include but are not limited to applications involving volume, arc length, surface area, centroids, force and work.
·2. Evaluate proper and improper integrals using various integration techniques.
·3. Analyze the convergence and divergence of infinite sequences and series and find the Taylor and McLaurin representations for transcendental functions.
·4. Use differentiation and integration to analyze the graphs of polar form equations and parametric form equations.
·5. Solve separable and first-order linear differential equations.
·6. Analyze and graph conic sections using calculus techniques.
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2014FA - New Course Version (S23940)
2017FA - Identified Course as UGETC |