Calculus and Analytic Geometry Course Outline 1st Semester

Course Code:

Course Name: Calculus & 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, Define Integral as Limit of a Sum, Application to Area, Arc Length, Volume and Surface of Revolution.

Text Book’s:

v                             George B. Thomas, Ross L. Finney, Calculus and Analytic Geometry, Addison Wesley; 9 Edition, 1995.

v  Swokowski, Olinick and Pence, Calculus and Analytical Geometry.

v  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