MATH 205

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::

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: