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UET Taxila
http://www.uettaxila.edu.pk
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Course Management System - UET Taxila
COURSE DESCRIPTION Objective: The course is aimed primarily at basic concepts of Calculus (a branch of Applied Mathematics), begins with a review of fundamentals, It provides a thorough exposition of the basic techniques of calculus useful for further study of science and mathematics and it also strongly focuses on the applications in the engineering field.
Course Outline:
• Complex Numbers, DeMoivre’s Theorem and its Applications, Simple Cartesian Curves, Functions and Graphs, Symmetrical Properties, Curve Tracing, Limit and Continuity, Differentiation and Functions.
• Derivative as Slope of Tangent to Curve and Ratte of Change, Application to Tangent and Normal, Linearization, Maxima/Minima and Point of Inflexion, Taylor and MaclaurinExpansions and their convergence.
• Integral as Anti-derivative, 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.
Reference Material:
1. Swokowski, Olinick and Pence. Calculus and Analytical Geometry, 6th Edition, 1994, Brooks. Cole Publishers.
2. Howard Anton, Calculus, 7th Edition, 2002, John Wiley and Sons (WIE)
3. William E. Boyee Richard C. Diprima, Calculus, John Weily& Sons, ISBN: 0471093335.
4. Thomas Finny, Calculus and Analytical Geometry, 10th Edition, John Wiely& Sons.
5. Erwin Kreyzig, Advanced Engineering Mathematics, 7th Edition, 1993, John Wiely& Sons Inc.
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