Calculus and analytical geometry for bs program

At the end of this course the students will be able to manipulate,differentiate, and integrate exponential functions, logarithmic functions,inverse trigonometric functions, and hyperbolic trigonometric functions.Apply L'Hôpital's rule to find limits of indeterminate forms, use
integration by parts, trigonometric substitution, partial fractions,determine convergence and divergence of infinite series. UseMaclaurin and Taylor series to approximate functions, find powerseries and determine radius and interval of convergence.

Things you will cover in this  course:

• 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 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.
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Reference material:

1. Calculus and Analytical Geometry, Swokowski Olinick. Pence. 1994. 6th edition. Brooks/Cole Publishers.

2. Calculus, 7th edition.2002. John Wiley and Sons (WIE).

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

4. Calculus and Analytical Geometry 10th edition. Thomas, F. John Wiley and Sons.

5. Advanced Engineering Mathematics, 7th edition. Erwin, K. 1993. John Wiley & Sons Inc.

Other Information:

Course code:  N/A

Prerequisites:  None

Credit Hours:  3

Lectures: 3

Labs:      0