On successful completion of this module, the students should be able to
1. Recall definitions, statements of theorems, certain examples and counterexamples pertaining to functions of one variable.
2. Calculate limits and continuity for functions of one variable.
3. Calculate the derivatives of elementary and transcendental functions of one variable, tangent line, the chain rule, implicit differentiation.
4. Compute the integrals of elementary and transcendental functions of one variable, method of substitution, integration by parts, powers and products of trigonometric functions, trigonometric substitution, partial fractions.
5. Solve problems of related rates, minimum-maximum, linear approximations, graphing functions, length of a curve, planar area, and volume.
6. Practice the basic principles of mathematical writing.
MATH 101
Course Code & Number
MATH 101
Course Title
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::
Pre-requisites: NONE
Co-requisites: NONE
Catalog Description
The concepts of Limit and Continuity, The Derivative, Applications of the Derivative, The Integration, Techniques of Integration, Applications of the Integral
Course Learning Outcomes
Recommended Reading
• Calculus, A Complete Course, 8th Edition, by Adams and Essex
• Thomas’ Calculus
• Calculus, Single and Multivariable, Blank and Krantz