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May 05, 2024
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MATH 2414 - Calculus II4 credit hours. 4 lecture hours. 0 lab hours.
Prerequisites: MATH 2413 .
This course is a continuation from Calculus I. The course includes a continuation of areas under a curve, differentiation and integration of transcendental functions, calculus of parametric equations and polar coordinates, techniques of integration, sequences and series, including Taylor and Maclaurin series, applications of the definite integral, and improper integrals. Students may be required to use a calculator.
Measurable Learning Outcomes:
Upon successful completion of this course, students will: Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals. Define an improper integral. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals. Determine convergence or divergence of sequences and series. Use Taylor and MacLaurin series to represent functions. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
Notes:
Any student enrolled in a mathematics course at Temple College will be eligible to attend a mathematics lab. The main campus lab will be open at least 20 hours each week and will be staffed by the lab director, regular math faculty members and peer tutors. Labs in Hutto and Taylor will be open a limited number of hours as posted at those facilities. Hours vary each semester. Check with center directors for available tutoring at the Hutto and Taylor locations.
While every effort has been made to align our pre-requisites with the majority of major receiving institutions, it is ultimately the learner’s responsibility to be aware of his/her institution’s particular pre-requisites.
MyMathLab is used in most classes.
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