# sap course 1434121588

## Course Code & Number:

## Course Title:

## Level of Course:

## Credits:

## Catalog Description:

## Pre-requisites & Co-requisites:

Quiz - 5%

Homework - 10%

Exam 1 - 15%

Exam 2 - 15%

Exam 3 - 20%

Final - 35%

Functions and Their Graphs, Combining Functions, Trigonometry. Concept of Limit, Limit Theorems, Continuity, Limits of Sequences, Exponential and Logarithmic Functions, Derivative, Rules for Differentiation, Chain Rule, Derivatives of Inverse Functions, Implicit Differentiation, Differentials, Related Rates, The Mean Value Theorem, Maxima and Minima of Functions, Graphing, L'Hopital's Rule, Anti-differentiation. Integration, Rules for Integration, The Fundamental Theorem of Calculus, Techniques of Integration.

Upon succesful completion of this course, a student will be able to

1. recall fundamental definitions, notation, conventions and basic principles of mathematical writing,

2. recognize elementary and transcendental functions and their properties,

3. explain the concepts of limit and continuity and continuity implications such as the Intermediate and Extreme Value Theorems,

4. calculate limits, derivatives and definite integrals algebraically, graphically and numerically,

5. use the Mean Value Theorem (MVT) and implications of the MVT on limits, monotonocity, concavity and extrema,

6. solve problems of related rates, optimization, and approximation, etc.,

7. relate indefinite integral and definite integral via the Fundamental Theorem of Calculus,