Course Profile

sap course 1536136597

Course Code:

MATH 205

Course Title:

Calculus I

Course Level:

BS

Credit Hours/ ECTS Credits:

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

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. 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.

Pre-requisite:
Co-requisite:

Pre-requisites: NONE
Co-requisites: NONE
Semester: 
Fall
Type of Course: 
Compulsory
Mode of Delivery: 
Face-to-face
Language of Instruction: 
English
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

Student Workload:

Lectures
42
hrs
Lab Applications
28
hrs
Hands-on Work
30
hrs
Exams/Quizzes
75
hrs

Prepared By:

Mehmet Onur Fen

Revised By:

Gizem Güzeller