MATH 205

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 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.