MATH 109

Course ID:

Course Code & Number

MATH 109

Course Title

Basic Calculus

Level

BS

Credit Hours/ ECTS Credits

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

Year of Study:

First Year

Semester:

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite::

Catalog Description

Plane Geometry, The concepts of Limit and Continuity, Derivative, Applications of Derivative, Integration, The Application of Integration as an Area of a Planar Region, Vectors and Geometry of Space.

Course Objectives

Software Usage

Course Learning Outcomes

On successful completion of this module, the students should be able to

1. Recall definitions and basic properties of elementary and transcendental functions and real numbers.        
2. Comprehend Coordinate Geometry, graph functions in the plane, and write equations of lines in various forms.
3. Calculate the limit of a function using fundamental limit laws and various techniques.
4. Comprehend the concept of continuity and perform the Intermediate Value Theorem and Extreme Value Theorem as applications of continuity.
5. Calculatethe derivatives of elementary and transcendental functions with basic techniques including The Chain Rule.
6. Perform the applications of derivative such as writing equations of tangent lines, solving Related Ratesproblems, finding local\absolute extreme values of functions, stating and applying the Mean Value Theorem, evaluating limits using L’Hospital’s Rule, graphing functions.
7. Evaluate definite and indefinite integrals of elementary and transcendental functions using various methods of integration and state the relation between the definite and indefinite integral by The Fundamental Theorem of Calculus.         
8. Express the area of a planar region as a definite integral and hence evaluate areas of regions as an application of the definite integral. Comprehend three-dimensional coordinate systems, perform various operations on vectors including the dot product and the cross product, write equations of planes and lines in space.

Learning Activities and Teaching Methods:

Assessment Methods and Criteria:

Test / Exam Quiz

Assessment Methods and Criteria Others:

Design Content

Recommended Reading

Required Reading

Grading

Learning Activities and Teaching Methods Others:

Course Coordinator:

Student Workload:

Workload	Hrs
Course Readings	42
Lab Applications	28
Exams/Quizzes	43

Course & Program Learning Outcome Matching: