Calculus and Analytic Geometry Course Outline

Semester 1

Course Code: MT 115

Course Name: Calculus and Analytic Geometry

Credit Hours: 3

Prerequisites: None

Course Objectives:

 To build the basic calculus and analytical geometry background.

Course Outline:

 Complex Numbers, DeMoivre’s Theorem and its Applications, Simple Cartesian Curves, Functions and Graphs, Symmetrical Properties, Curve Tracing, Limit and Continuity, Differentiation of Functions. Derivative as Slope of Tangent to a Curve and as Rate of Change, Application to Tangent and Normal, Linearization, Maxima/Minima and Point of Inflexion, Taylor and Maclaurin Expansions and their convergence. Integral as Antiderivative, Indefinite Integration of Simple Functions. Methods of Integration: Integration by Substitution, by Parts, and by Partial Fractions, Definite Integral as Limit of a Sum, Application to Area, Arc Length, Volume and Surface of Revolution.

Text Book/s:

• George B. Thomas, Ross L. Finney, Calculus and Analytic Geometry, Addison Wesley; 9 edition, 1995.
• Swokowski, Olinick and Pence,  Calculus and Analytical Geometry
• H. Anton Calculus, John Wiley and Sons (WIE), ISBN: 0471572608.

Reference Book/s:

• Calculus, William E. Boyce Richard C. Diprima, John Wiley & Sons, ISBN:0471093335