| School/Faculty/Institute |
Faculty of Engineering |
| Course Code |
MATH 211 |
| Course Title in English |
Linear Algebra |
| Course Title in Turkish |
Lineer Cebir |
| Language of Instruction |
EN |
| Type of Course |
Flipped Classroom |
| Level of Course |
Introductory |
| Semester |
Fall |
| Contact Hours per Week |
| Lecture: 3 |
Recitation: none |
Lab: none |
Other: none |
|
| Estimated Student Workload |
145 hours per semester |
| Number of Credits |
6 ECTS |
| Grading Mode |
Standard Letter Grade
|
| Pre-requisites |
None |
| Expected Prior Knowledge |
None |
| Co-requisites |
None |
| Registration Restrictions |
Only Undergraduate Students |
| Overall Educational Objective |
To learn the fundamentals of matrix theory and linear algebra relevant to engineering problems. |
| Course Description |
This course provides general concepts on linear algebra by covering the following topics: Systems of linear equations and matrices, Gaussian elimination, matrix algebra, inverse of a matrix, elementary matrices, LU-factorization, the determinant of a square matrix, the properties of determinants, Cramer’s rule, vector spaces, subspaces, linear independence, basis and dimension, change of basis, inner product spaces, orthonormal basis, linear transformations, matrix representations of linear transformations, eigenvalues and eigenvectors, diagonalization. |
| Course Description in Turkish |
Bu derste lineer cebir genel kavramları şu konu başlıkları altında incelenmektedir: Lineer denklem sistemleri ve matrisler, Gauss eliminasyon yöntemi, matris cebri, bir matrisin tersi, elemanter matrisler, LU ayrıştırma, bir kare matrisin determinantı, determinantın özellikleri, Cramer kuralı, vektör uzayları, alt uzaylar, lineer bağımsızlık, baz ve boyut, baz değişimi, iç çarpım uzayları, ortonormal baz, lineer dönüşümler, lineer dönüşümün matris temsili, özdeğerler ve özvektörler, köşegenleştirme. |
Course Learning Outcomes and Competences
Upon successful completion of the course, the learner is expected to be able to:
1) solve the systems of linear equations by using Gauss elimination
2) compute the inverse of a square matrix and solve the systems of linear equations by using matrix inversion
3) compute the determinant of a matrix and solve the systems of linear equations by using Cramer's rule
4) comprehend the concepts span, linear independence, basis, and dimension, and apply these concepts to various vector spaces and subspaces
5) comprehend linear transformations and compute their matrix representations
6) compute the eigenvalues and the corresponding eigenvectors of a matrix
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| Program Learning Outcomes/Course Learning Outcomes |
1 |
2 |
3 |
4 |
5 |
6 |
| 1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics |
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| 2) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors |
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| 3) An ability to communicate effectively with a range of audiences |
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| 4) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts |
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| 5) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives |
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| 6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions |
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| 7) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies. |
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Relation to Program Outcomes and Competences
| N None |
S Supportive |
H Highly Related |
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Program Outcomes and Competences |
Level |
Assessed by |
| 1) |
An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics |
H |
Exam,HW,Participation
|
| 2) |
An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors |
N |
|
| 3) |
An ability to communicate effectively with a range of audiences |
N |
|
| 4) |
An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts |
N |
|
| 5) |
An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives |
N |
|
| 6) |
An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions |
N |
|
| 7) |
An ability to acquire and apply new knowledge as needed, using appropriate learning strategies. |
N |
|
| Prepared by and Date |
HASAN KÖRÜK , December 2018 |
| Course Coordinator |
YUSUF AYDIN |
| Semester |
Fall |
| Name of Instructor |
Asst. Prof. Dr. CEM ERÖNCEL |
Course Contents
| Week |
Subject |
| 1) |
Matrices and systems of equations. |
| 2) |
Matrices and systems of equations. |
| 3) |
Matrices and systems of equations. |
| 4) |
Matrices and systems of equations. |
| 5) |
Determinants. |
| 6) |
Determinants. |
| 7) |
Vector Spaces. |
| 8) |
Vector Spaces. |
| 9) |
Vector Spaces. |
| 10) |
Inner Product Spaces. |
| 11) |
Linear Transformations. |
| 12) |
Linear Transformations. |
| 13) |
Eigenvalues and Eigenvectors. |
| 14) |
Eigenvalues and Eigenvectors. |
| 15) |
Final Exam/Project/Presentation Period. |
| 16) |
Final Exam/Project/Presentation Period. |
| Required/Recommended Readings | David C. Lay et al., Linear Algebra and Its Applications, Pearson, 5th edition/Global edition, 2016.
Elementary Linear Algebra, Ron Larson, Cengage Learning, 7th or 8th edition (ebook or hardcopy). |
| Teaching Methods | Lectures using “flipped classroom” as an active learning technique. |
| Homework and Projects | none |
| Laboratory Work | none |
| Computer Use | none |
| Other Activities | none |
| Assessment Methods |
| Assessment Tools |
Count |
Weight |
| Application |
10 |
% 12 |
| Quiz(zes) |
2 |
% 6 |
| Homework Assignments |
3 |
% 7 |
| Midterm(s) |
2 |
% 75 |
| TOTAL |
% 100 |
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| Course Administration |
gokce.tonuk@mef.edu.tr; korukh@mef.edu.tr
02123953653; 02123953654
Section 1: Assoc. Prof. Hasan Körük
Instructor’s office and phone number: 563 (A Block-5th Floor) / 0212 3953654
Office hours: Wednesday 13:00-15:00
Email address: korukh@mef.edu.tr
Section 2: Asst. Prof. Gökçe Tönük
Instructor’s office and phone number: 535 (A Block-5th Floor) / 0212 3953653
Office hours: Wednesday 13:00-15:00
Email address: tonukg@mef.edu.tr
Rules for attendance: Classroom participation contributes to 10% of the final grade.
Missing a quiz/HW: No make-up will be given.
Missing a midterm: Provided that proper documents of excuse are presented, each missed midterm by the student will be given the grade of the final exam. No make-up will be given.
Missing a final: Faculty regulations.
Late policy for Flipped Classroom Participation: There will be a penalty of 25% to 75% reduction in the mark of Flipped Classroom Participation when being late to the lecture.
A reminder of proper classroom behavior, code of student conduct: YÖK Regulations.
Academic dishonesty and plagiarism: YÖK Regulations. |
Information Package / Course Catalogue