Course ID:
Course Code & Number
MATH 205
Course Title
Calculus I
Level
BS
Credit Hours/ ECTS Credits
(3+2+0) 4 TEDU Credits, 7 ECTS Credits
Year of Study:
Sophomore
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
Functions and their graphs. Limits and continuity. Tangent lines and derivative. Chain rule. Implicit differentiation. Inverse functions. Related rates. Linear approximation. Extreme values. Mean Value Theorem and its applications. Sketching graphs. Indeterminate forms and L’Hospital’s rules. Definite integral. Fundamental Theorem Calculus. Substitution and areas between curves.
Course Objectives
Software Usage
Course Learning Outcomes
- Recall definitions, statements of theorems, certain examples and counterexamples pertaining to functions of one variable.
- Calculate limits and continuity for functions of one variable.
- Calculate the derivatives of elementary and transcendental functions of one variable, tangent line, the chain rule, implicit differentiation.
- 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.
- Solve problems of related rates, minimum-maximum, linear approximations, graphing functions, length of a curve, planar area, and volume.
- Practice the basic principles of mathematical writing.
Learning Activities and Teaching Methods:
Telling/Explaining
Questioning
Problem Solving
Collaborating
Hands-on Activities
Others
Assessment Methods and Criteria:
Test / Exam
Quiz
Lab Assignment
Others
Assessment Methods and Criteria Others:
Design Content
Recommended Reading
Required Reading
Grading
Learning Activities and Teaching Methods Others:
Course Coordinator:
Student Workload:
| Workload | Hrs |
|---|---|
| Lab Applications | 28 |
| Hands-on Work | 30 |
| Exams/Quizzes | 75 |
Course & Program Learning Outcome Matching: