Ders Notu 7
Dear Students,
The Week 7 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Dear Students,
The Week 6 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Dear Students,
The Week 5 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Dear Students,
The Week 4 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Dear Students,
The Week 3 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Dear Students,
The Week 2 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Dear Students,
The Week 1 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Duyuru 2
GAZI UNIVERSITY FACULTY OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING
ME216 APPLIED MATHEMATICS FOR MECHANICAL ENGINEERS
Rules and Regulations for 2nd Semester of 2025/2026 Academic Year
Teaching Staff:
Dr. Alkım Aydın
Credit Structure:
(3-0) 3
Course Objectives and Related Learning Outcomes:
The course is designed for fourth semester mechanical engineering students. At the end of this course, the students will,
• Learn the basic concepts used in advanced vector analysis,
• Learn the evaluation of line, surface and volume integrals,
• Learn the basic concepts of linear algebra and their applications for analysis and solution of engineering problems,
• Learn complex function analysis and their application towards analysis and solution of engineering problems.
Textbook:
O’Neil, P. V., Advanced Engineering Mathematics, 8th Ed., Cengage Learning, 2018.
Recommended Reading:
• Kreyszig, E., Advanced Engineering Mathematics, 10th Ed., John Wiley&Sons, 2011.
• Jeffrey, A., Advanced Engineering Mathematics, 1st Ed., Academic Press, 2002.
Course Outline:
1. Linear algebra: Matrices, vectors, determinants. Inverse of a matrix. Matrix algebra. Linear algebraic systems. Echelon form.
2. Gauss and Gauss-Jordan elimination method for the solution of linear systems. Rank of a matrix. Linear independence-dependence.
3. Vector spaces. Inner product spaces. Linear transformations. Singular-value de-composition and polar decomposition of a matrix.
4. Matrix eigenvalue problems: Eigenvalues and eigenvectors of a square matrix. Symmetric, antisymmetric, and orthogonal matrices. Similarity of matrices.
5. Basis of eigenvectors. Diagonalization. Transformation of quadratic forms from arbitrary to principal directions.
6. Application to differential systems. Vector differential calculus: Gradient, divergence, curl.
7. Vector integral calculus: Line integral, double integral, triple integral.
8. Surface integrals.
9. Gauss divergence and Stokes’ integral theorems.
10. Complex numbers and complex elementary functions. Derivative. Analytic functions.
11. Cauchy-Riemann equations. Line integral in the complex plane.
12. Cauchy’s integral theorem.
13. Cauchy’s integral formula.
Prerequisites:
None
Assessment Method:
Midterm examination (2 Midterm) %60
Final examination %40
Absences:
A minimum of 70% attendance is compulsory.
GOOD LUCK
Ödev 1
Dear Students,
Please use your ME106-2026-Application-Book from the course content documents link and complete the following tasks listed below. You have to complete all the tasks before 02/04/2026 12:30, and you should send your .f3d files back (Fusion Files) by email to alkimaydin@gazi.edu.tr before the deadline. After this deadline, your assessment files will not be evaluated.
Your file names should be in the following format: YOURSCHOOLNUMBER_YOURSURNAME_YOURNAME_ASSESSMENTNUMBER
Example format: 2026585396_AYDIN_ALKIM_ASSESSMENT1
Assessment 1: Play Bricks - (Page 68-75) - Please complete the bricks according to the instructions from Page 68 to Page 75. You should modify the text section with your SCHOOL NUMBERS LAST 4 DIGITS. If you submit the files with PLAY text instead of your school number, your assessment mark will not be evaluated.
Assessment 2: Modified Play Bricks - (Page 75) - In the assessment mark 1, you have created a 2X4 brick according to the instructions. In this stage, please proceed to the 2X2 bricks (Challenge section at Page 75). You have the freedom to give the dimensions and shapes; however, your parts should be similar to the assessment 1 criteria (you can also use the same dimensions that are allocated in assessment 1) on top of your 2X2 lego bricks your SCHOOL NUMBERS LAST 4 DIGITS should be inserted as well.