MATH 111

Course Code & Number

MATH 111

Course Title

Introduction to Calculus of One Variable

Level

BS

Credit Hours/ ECTS Credits

(3+2+0) 4 TEDU Credits, 7 ECTS Credits

Year of Study:

First Year

Semester:

Fall

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite:

Catalog Description

Functions and Their Graphs. Combining Functions. Trigonometry. Concept of Limit. Continuity. Exponential and Logarithmic Functions. Derivative. Rules for Differentiation. Chain Rule. Related Rates. The Mean Value Theorem. Maxima and Minima of Functions. Graphing Functions. L'Hopital's Rule. Integration. Rules for Integration. The Fundamental Theorem of Calculus. Integration by Substitution. Calculation of Area.

Course Learning Outcomes

Upon successful completion of this course, a student will be able to:
1. Recall fundamental definitions, notations, conventions and basic principles of mathematical writing,
2. Recognize elementary and transcendental functions and their properties,
3. Explain the concepts of limit, 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 concerning related rates, optimization, and approximation,
7. Relate indefinite integral and definite integral via the Fundamental Theorem of Calculus.

Recommended Reading

• Calculus, A Complete Course, 8th Edition, by Adams and Essex • Thomas’ Calculus • Calculus, Single and Multivariable, by Blank and Krantz