
Description:  Limits and contitnuity of functions in one variable, differentiation rules, implicit differentiation, introductory integration, the fundamental theorem of calculus, optimization problems and related rates, the first and second derivative tests and curve sketching. 
Credit Hours.:  3 
Text Book:  Smith, R. T. and Minton, R. B. Calculus, McGraw Hill 
Coordinator:  Walid Ibrahim 
Topics Outline:   Limits and their computation
 Continuity and limits involving infinity
 Tangent lines and velocity
 Computation of derivatives
 Logarithmic and exponential functions
 Mean value theorem
 Linear approximation, l?Hopital?s rule and Newton?s method
 Concavity, curve sketch and optimization
 Antiderivatives and Fundamental theorem of calculus
 The natural logarithmic function
 Inverse functions
 The inverse trigonometric functions

Outcomes:   Compute limits and explain continuity
 Compute derivatives and apply derivatives to optimization problems.
 Use limits and derivatives to sketch graphs of elementary functions in one variable.
 Estimate values and roots of functions using the linear approximation method and Newton's method.
 Apply the fundamental theorem of calculus to differentiate and to integrate.

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Prerequisite  