This course covers hyperbolic functions, integration techniques and improper integrals. The course covers also infinite sequences and series: limits of sequences of numbers, bounded sequences, integral test for series, comparison tests, ratio and root tests, alternating series test, absolute and conditional convergence, power series, Taylor and Maclaurin series, and applications of power series. Polar functions, polar coordinates, and graphing of polar curves are also covered. In addition, topics from multivariable calculus are introduced: functions of several variables, partial derivatives, double integrals, applications to double integrals, and double integrals in polar form.
Course Learning Outcomes:
1) Students will acquire the skills needed to solve definite, indefinite, improper and double integrals.
2) Students will be able to solve applied problems using integrals.
3) Students will be able to identify simple series and to find and/or estimate the sum of a series using partial sums.
4) Students will be able to test the convergence of sequences and series, and to create MacLaurin series for transcendental functions.
3.000 Credit hours
3.000 Lecture hours
Levels: Undergraduate
Schedule Types: Lecture, Tutorial
Computer Science & Mathematics Division
Mathematics Department
Course Attributes: LAC Sci.& Quant.Reason. Elect.
