Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
1MATH111Mathematics I4+0+04603.11.2026
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Electrical - Electronic Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course 1. To provide the concepts of functions, limits, continuity, differentiation and integration.
2. To provide the applications of differentiation and integration
3. To give an ability to apply knowledge of mathematics on engineering problems
Course Content • Functions of a Single Variable, Limits and Continuity, Derivatives, Applications of Derivatives, Sketching Graphs of Functions, Asymptotes, Integration, Fundamental Theorem of Calculus, Applications of Integrals, Polar Coordinates, Transcendental Functions, Techniques of Integration, Indeterminate Forms, L’Hopital’s Rule.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. Ece Yetkin Çelikel
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Thomas' Calculus: Global Edition, 12/e by George B. Thomas, Jr., Maurice D. Weir, and Joel Hass, ISBN -10: 0321643631

Course Category
Mathematics and Basic Sciences %80
Engineering %20

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 2 % 40
Assignment 4 % 20
Final examination 1 % 40
Total
7
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 15 4 60
Hours for off-the-c.r.stud 15 6 90
Assignments 4 4 16
Mid-terms 2 3 6
Final examination 1 3 3
Total Work Load   Number of ECTS Credits 6 175

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Compute the limit of various functions, use the concepts of the continuity, use the rules of differentiation to differentiate functions.
2 Sketch the graph of a function using asymptotes, critical points and the derivative test for increasing/decreasing and concavity properties
3 Set up max/min problems and use differentiation to solve them
4 Evaluate integrals by using the Fundamental Theorem of Calculus and apply integration to compute areas and volumes by slicing, volumes of revolution, arclength.
5 Work with transcendental functions and evaluate integrals using techniques of integration.
6 Use L'Hospital's rule.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Limits and Continuity
2 Limits and Continuity
3 Derivatives
4 Derivatives
5 Applications of Derivatives
6 Applications of Derivatives
7 Integration
8 Integration
9 Applications of Integrals
10 Applications of Integrals/Transcendental Functions
11 Transcendental Functions
12 Techniques of Integration
13 Techniques of Integration
14 Transcendental Functions
15 General Review

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5 2 2 2 3 2 3 2 5 2 3
C1 5 2 2 2 5 3 2 2 5 2 3
C2 5 2 2 2 3 2 3 2 5 2 3
C3 5 2 2 2 3 2 3 2 5 2 3
C4 5 2 2 2 3 2 3 2 5 2 3
C5 5 2 2 2 2 3 3 2 5 2 3
C6 5 2 2 2 3 2 3 2 5 2 3

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant