To teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering.
Course Content
This course contains; Functions,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically
12, 14, 6, 9
A, E
2. Apply the notions of continuity and differentiability to algebraic and transcendental functions.
12, 14, 6, 9
A, E
3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing.
12, 14, 6, 9
A, E
4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals.
12, 14, 6, 9
A, E
5. Use integration to compute area between curves and volume of a solid.
12, 14, 6, 9
A, E
6. Calculate and compare the concept of proper and improper integrals.
12, 14, 6, 9
A, E
Teaching Methods:
12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam, E: Homework
Course Outline
Order
Subjects
Preliminary Work
1
Functions
Book chapter 1.1, 1.2, 1.4, 1.5
2
Functions
Book chapter 1.3, 1.6, 11.1,11.2
3
Limits and Continuity
Book chapter 2.1, 2.2, 2.3, 2.4
4
Limits and Continuity
Book chapter 2.5, 2.6
5
Derivatives
Book chapter 3.2, 3.3, 3.4
6
Derivatives
Book chapter 3.5, 3.6, 3.7, 11.2
7
Applications of Derivatives
Book chapter 4.1, 4.2, 4.3, 4.4
8
Applications of Derivatives
Book chapter 3.11, 4.4, 4.5
9
Integration
Book chapter 5.1, 5.2, 5.3, 5.4
10
Integration
Book chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5
11
Applications of Definite Integrals
Book chapter 5.6, 6.1
12
Applications of Definite Integrals
Book chapter 6.2, 6.3
13
Transcendental Functions
Book chapter 7.1, 7.2
14
Improper Integrals
Book chapter 8.8
Resources
Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
An ability to apply knowledge of mathematics, science, and engineering
X
2
An ability to identify, formulate, and solve engineering problems
X
3
An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
X
4
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
5
An ability to design and conduct experiments, as well as to analyze and interpret data
6
An ability to function on multidisciplinary teams
7
An ability to communicate effectively
8
A recognition of the need for, and an ability to engage in life-long learning
9
An understanding of professional and ethical responsibility
10
A knowledge of contemporary issues
11
The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context
Assessment Methods
Contribution Level
Absolute Evaluation
Rate of Midterm Exam to Success
30
Rate of Final Exam to Success
70
Total
100
ECTS / Workload Table
Activities
Number of
Duration(Hour)
Total Workload(Hour)
Course Hours
14
4
56
Guided Problem Solving
14
2
28
Resolution of Homework Problems and Submission as a Report
0
0
0
Term Project
0
0
0
Presentation of Project / Seminar
0
0
0
Quiz
0
0
0
Midterm Exam
14
3
42
General Exam
14
4
56
Performance Task, Maintenance Plan
0
0
0
Total Workload(Hour)
182
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(182/30)
6
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.
Detail Informations of the Course
Course Description
Course
Code
Semester
T+P (Hour)
Credit
ECTS
CALCULUS I
-
Spring Semester
4+0
4
6
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of Course
English
Course Level
First Cycle (Bachelor's Degree)
Course Type
Required
Course Coordinator
Assist.Prof. Özge BİÇER ÖDEMİŞ
Name of Lecturer(s)
Prof.Dr. Afgan ASLAN
Assistant(s)
Aim
To teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering.
Course Content
This course contains; Functions,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically
12, 14, 6, 9
A, E
2. Apply the notions of continuity and differentiability to algebraic and transcendental functions.
12, 14, 6, 9
A, E
3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing.
12, 14, 6, 9
A, E
4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals.
12, 14, 6, 9
A, E
5. Use integration to compute area between curves and volume of a solid.
12, 14, 6, 9
A, E
6. Calculate and compare the concept of proper and improper integrals.
12, 14, 6, 9
A, E
Teaching Methods:
12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam, E: Homework
Course Outline
Order
Subjects
Preliminary Work
1
Functions
Book chapter 1.1, 1.2, 1.4, 1.5
2
Functions
Book chapter 1.3, 1.6, 11.1,11.2
3
Limits and Continuity
Book chapter 2.1, 2.2, 2.3, 2.4
4
Limits and Continuity
Book chapter 2.5, 2.6
5
Derivatives
Book chapter 3.2, 3.3, 3.4
6
Derivatives
Book chapter 3.5, 3.6, 3.7, 11.2
7
Applications of Derivatives
Book chapter 4.1, 4.2, 4.3, 4.4
8
Applications of Derivatives
Book chapter 3.11, 4.4, 4.5
9
Integration
Book chapter 5.1, 5.2, 5.3, 5.4
10
Integration
Book chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5
11
Applications of Definite Integrals
Book chapter 5.6, 6.1
12
Applications of Definite Integrals
Book chapter 6.2, 6.3
13
Transcendental Functions
Book chapter 7.1, 7.2
14
Improper Integrals
Book chapter 8.8
Resources
Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
An ability to apply knowledge of mathematics, science, and engineering
X
2
An ability to identify, formulate, and solve engineering problems
X
3
An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
X
4
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
5
An ability to design and conduct experiments, as well as to analyze and interpret data
6
An ability to function on multidisciplinary teams
7
An ability to communicate effectively
8
A recognition of the need for, and an ability to engage in life-long learning
9
An understanding of professional and ethical responsibility
10
A knowledge of contemporary issues
11
The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context
