MAT161 Syllabus
- Course number and name
MAT161 – Calculus I
- Credits and contact hours
4 Credit Hours
- Instructor’s or course coordinator’s name
Instructor: Rosemary Sullivan, Assistant Professor of Mathematics
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Text book, title, author, and year
Calculus: Early Transcendentals, 2nd Edition; by Jon Rogawski.
Other Supplemental Materials
None
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Specific course information
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brief description of the content of the course (catalog description)
Continuation of MAT 161 including the study of series, methods of integration, transcendental functions, and applications to the sciences.
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prerequisites or co-requisites
Prerequisite: C or better in MAT 161.
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indicate whether a required, elective, or selected elective course in the program
Selected elective course.
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specific outcomes of instruction Students will be able to:
- Apply properties of the integral to solve problems involving areas between curves, volumes of revolutions, arclength and surface area
- ompute integrals using a variety of techniques such as: integration by parts, trigonometric substitution, and partial fraction decomposition
- Determine the convergence or divergence of infinite sequences and series
- Calculate and manipulate Taylor series..
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explicitly indicate which of the student outcomes listed in Criterion 3 or any other outcomes are addressed by the course.
Course addresses Student Outcomes (b) and (c).
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- Brief list of topics to be covered
- Applications of the integral (area between two curves, volumes of revolution (washers/shells), average value)
- Numerical integration
- Integration by parts
- Trigonometric integrals
- Trigonometric substitution
- Partial fractions
- Improper integrals
- Arclength, surface area, sequences
- Absolute convergence
- Conditional convergence
- Series tests (ratio, root, comparison, limit comparison, integral) power series