To teach fundamental math contents, methods and techniques, and its applications for the study of Engineering.
Course Content
This course contains; Techniques of Integration,Techniques of Integration,Techniques of Integration,Infinite Sequences and Series,Infinite Sequences and Series,Infinite Sequences and Series,Infinite Sequences and Series,Parametric Equations and Polar Coordinates,Parametric Equations and Polar Coordinates,Vectors and Geometry of Space,Vectors and Geometry of Space,Partial Derivatives,Partial Derivatives,Introduction to Multiple Integrals.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
1. Explain infinite series, power series.
12, 14, 9
A, E
2. define the concepts of Three-Dimensional Coordinate Systems.
12, 14, 9
A, E
3. Interpret the concepts of limit, continuity, derivative and integral in functions of several variables.
12, 14, 9
A, E
4. summarize the rules of partial derivation.
12, 14, 9
A, E
5. explain and define Multiple Integrals.
12, 14, 9
A, E
6. calculate integral using variable changing, partial integration and simple fraction decomposition methods.
12, 14, 9
A, E
Teaching Methods:
12: Problem Solving Method, 14: Self Study Method, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam, E: Homework
Course Outline
Order
Subjects
Preliminary Work
1
Techniques of Integration
2
Techniques of Integration
3
Techniques of Integration
4
Infinite Sequences and Series
5
Infinite Sequences and Series
6
Infinite Sequences and Series
7
Infinite Sequences and Series
8
Parametric Equations and Polar Coordinates
9
Parametric Equations and Polar Coordinates
10
Vectors and Geometry of Space
11
Vectors and Geometry of Space
12
Partial Derivatives
13
Partial Derivatives
14
Introduction to Multiple Integrals
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.
4
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
X
5
An ability to design and conduct experiments, as well as to analyze and interpret data.
6
An ability to function on multidisciplinary teams.
X
7
An ability to communicate effectively.
X
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
14
3
42
Term Project
0
0
0
Presentation of Project / Seminar
0
0
0
Quiz
0
0
0
Midterm Exam
1
25
25
General Exam
1
25
25
Performance Task, Maintenance Plan
0
0
0
Total Workload(Hour)
176
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(176/30)
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 II
-
Spring Semester
4+0
4
6
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of Course
Turkish
Course Level
First Cycle (Bachelor's Degree)
Course Type
Required
Course Coordinator
Assist.Prof. Özge BİÇER ÖDEMİŞ
Name of Lecturer(s)
Assist.Prof. Seçil TUNALI ÇIRAK
Assistant(s)
Aim
To teach fundamental math contents, methods and techniques, and its applications for the study of Engineering.
Course Content
This course contains; Techniques of Integration,Techniques of Integration,Techniques of Integration,Infinite Sequences and Series,Infinite Sequences and Series,Infinite Sequences and Series,Infinite Sequences and Series,Parametric Equations and Polar Coordinates,Parametric Equations and Polar Coordinates,Vectors and Geometry of Space,Vectors and Geometry of Space,Partial Derivatives,Partial Derivatives,Introduction to Multiple Integrals.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
1. Explain infinite series, power series.
12, 14, 9
A, E
2. define the concepts of Three-Dimensional Coordinate Systems.
12, 14, 9
A, E
3. Interpret the concepts of limit, continuity, derivative and integral in functions of several variables.
12, 14, 9
A, E
4. summarize the rules of partial derivation.
12, 14, 9
A, E
5. explain and define Multiple Integrals.
12, 14, 9
A, E
6. calculate integral using variable changing, partial integration and simple fraction decomposition methods.
12, 14, 9
A, E
Teaching Methods:
12: Problem Solving Method, 14: Self Study Method, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam, E: Homework
Course Outline
Order
Subjects
Preliminary Work
1
Techniques of Integration
2
Techniques of Integration
3
Techniques of Integration
4
Infinite Sequences and Series
5
Infinite Sequences and Series
6
Infinite Sequences and Series
7
Infinite Sequences and Series
8
Parametric Equations and Polar Coordinates
9
Parametric Equations and Polar Coordinates
10
Vectors and Geometry of Space
11
Vectors and Geometry of Space
12
Partial Derivatives
13
Partial Derivatives
14
Introduction to Multiple Integrals
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.
4
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
X
5
An ability to design and conduct experiments, as well as to analyze and interpret data.
6
An ability to function on multidisciplinary teams.
X
7
An ability to communicate effectively.
X
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.
