Course Description
Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|
LINEAR ALGEBRA and DIFFERENTIAL EQUATIONS | CEE2133840 | Fall Semester | 4+0 | 4 | 8 |
Prerequisites Courses | |
Recommended Elective Courses | |
Language of Course | English |
Course Level | First Cycle (Bachelor's Degree) |
Course Type | Elective |
Course Coordinator | Assist.Prof. Cihan Bilge KAYASANDIK |
Name of Lecturer(s) | Assist.Prof. Cihan Bilge KAYASANDIK |
Assistant(s) | |
Aim | 1. To provide the methods of solution of systems of linear equations and the applications of matrix and determinant.
2. To introduce the basic concepts required to understand, construct, solve and interpret differential equations and to teach methods to solve differential equations of various types.
3. To give an ability to apply knowledge of mathematics on engineering problems
|
Course Content | This course contains; Matrices and Systems of Linear Equations,Matrices and Systems of Linear Equations,Determinants,Vector Spaces,Vector Spaces,Eigenvalues and Eigenvectors,Eigenvalues and Eigenvectors,First order differential equations,First order differential equations,Higher order differential equations,Higher order differential equations,Higher order differential equations,Laplace Transform,Laplace Transform. |
Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
5. Solve higher order linear differential equations with constant coefficients and construct all solutions from the linearly independent solutions ; solve initial value problems using the Laplace transform | 12, 14, 9 | A, E |
4. Solve first order linear equations and nonlinear equations of certain types , interpret the solutions and understand the conditions for the existence and uniqueness of solutions for linear differential equations | 12, 14, 9 | A, E |
3. Classify differential equations according to certain features | 12, 14, 9 | A, E |
2. Learn the importance of the concepts of vector space, basis and dimension and evaluate the eigenvalues and the corresponding eigenvectors of the matrix. | 12, 14, 9 | A, E |
1. Solve the systems of linear equations, provide arithmetic operations with matrices, compute the inverse of matrix, determine the value of determinant of a matrix and use Cramer rule to solve the systems | 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 | Matrices and Systems of Linear Equations | |
2 | Matrices and Systems of Linear Equations | |
3 | Determinants | |
4 | Vector Spaces | |
5 | Vector Spaces | |
6 | Eigenvalues and Eigenvectors | |
7 | Eigenvalues and Eigenvectors | |
8 | First order differential equations | |
9 | First order differential equations | |
10 | Higher order differential equations | |
11 | Higher order differential equations | |
12 | Higher order differential equations | |
13 | Laplace Transform | |
14 | Laplace Transform | |
Resources |
Differential Equations & Linear Algebra Third Edition Edition, C.Henry Edwards ; David E. Penney Pearson International Education International,2011. |
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 | 0 | 0 | 0 |
Resolution of Homework Problems and Submission as a Report | 14 | 10 | 140 |
Term Project | 0 | 0 | 0 |
Presentation of Project / Seminar | 0 | 0 | 0 |
Quiz | 0 | 0 | 0 |
Midterm Exam | 1 | 22 | 22 |
General Exam | 1 | 22 | 22 |
Performance Task, Maintenance Plan | 0 | 0 | 0 |
Total Workload(Hour) | 240 |
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(240/30) | 8 |
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 |
---|
LINEAR ALGEBRA and DIFFERENTIAL EQUATIONS | CEE2133840 | Fall Semester | 4+0 | 4 | 8 |
Prerequisites Courses | |
Recommended Elective Courses | |
Language of Course | English |
Course Level | First Cycle (Bachelor's Degree) |
Course Type | Elective |
Course Coordinator | Assist.Prof. Cihan Bilge KAYASANDIK |
Name of Lecturer(s) | Assist.Prof. Cihan Bilge KAYASANDIK |
Assistant(s) | |
Aim | 1. To provide the methods of solution of systems of linear equations and the applications of matrix and determinant.
2. To introduce the basic concepts required to understand, construct, solve and interpret differential equations and to teach methods to solve differential equations of various types.
3. To give an ability to apply knowledge of mathematics on engineering problems
|
Course Content | This course contains; Matrices and Systems of Linear Equations,Matrices and Systems of Linear Equations,Determinants,Vector Spaces,Vector Spaces,Eigenvalues and Eigenvectors,Eigenvalues and Eigenvectors,First order differential equations,First order differential equations,Higher order differential equations,Higher order differential equations,Higher order differential equations,Laplace Transform,Laplace Transform. |
Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
5. Solve higher order linear differential equations with constant coefficients and construct all solutions from the linearly independent solutions ; solve initial value problems using the Laplace transform | 12, 14, 9 | A, E |
4. Solve first order linear equations and nonlinear equations of certain types , interpret the solutions and understand the conditions for the existence and uniqueness of solutions for linear differential equations | 12, 14, 9 | A, E |
3. Classify differential equations according to certain features | 12, 14, 9 | A, E |
2. Learn the importance of the concepts of vector space, basis and dimension and evaluate the eigenvalues and the corresponding eigenvectors of the matrix. | 12, 14, 9 | A, E |
1. Solve the systems of linear equations, provide arithmetic operations with matrices, compute the inverse of matrix, determine the value of determinant of a matrix and use Cramer rule to solve the systems | 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 | Matrices and Systems of Linear Equations | |
2 | Matrices and Systems of Linear Equations | |
3 | Determinants | |
4 | Vector Spaces | |
5 | Vector Spaces | |
6 | Eigenvalues and Eigenvectors | |
7 | Eigenvalues and Eigenvectors | |
8 | First order differential equations | |
9 | First order differential equations | |
10 | Higher order differential equations | |
11 | Higher order differential equations | |
12 | Higher order differential equations | |
13 | Laplace Transform | |
14 | Laplace Transform | |
Resources |
Differential Equations & Linear Algebra Third Edition Edition, C.Henry Edwards ; David E. Penney Pearson International Education International,2011. |
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 |
Numerical Data
Ekleme Tarihi: 17/12/2023 - 16:45Son Güncelleme Tarihi: 17/12/2023 - 16:45
×- A-Z Programs
- Undergraduate
- Graduate
- Academic Calendar
- Double Major & Minor Programs
- Erasmus
- Prospective Students
- Registration
- Re-Enrolment
- Fees
- Directorate of Registrar’s Office
- FAQ
- Accommodation
- Scholarships
- Lateral and Vertical Transfer
- Summer School
- Preparation
- Transportation