MTH104: Calculus & Analytical Geometry
Course Objectives
The main objective of Calculus and Analytical Geometry for students is to continue learning the basics of the calculus of functions of one variable. They will study functions, their types, limit and continuity of a function, derivatives, rate of change, chain rule, the concepts and techniques of integration, maxima and minima for the function of one variable, power series sequence and series, Taylor’s and Malaren’s series and its applications.
Course Contents
Inequalities, functions, shifting graphs, limits of function, continuity, derivative of a function, application of derivatives, integration, indefinite integrals, definite integrals, application of integral, area, arc-length, transcendental functions, L’Hôpital’s rule, techniques of integration, improper integrals, infinite series, limit of sequences of numbers, convergence and divergence tests, alternating series test, absolute and conditional convergence, power series, Taylor's series and Maclaurin series, convergence of Taylor series, error estimates, applications of power series.
Notes, assignments, quizzes & handout
Notes
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Assignments and Quizzes
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Recommended Books:
- Earl W. Swokowski, Calculus with analytic geometry, PWS Publisher, Boston, 1988.
- James Stewart, Calculus Early Transcendental, 6th Ed., Thomson Brooks/Cole, 2008.