Ders Notu 9
Dear Students,
The Week 11 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
Dear Students,
The Week 8 lecture notes for ME216 – Applied Mathematics for Mechanical Engineers have now been uploaded to the course portal.
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 4
Reverse Engineering, Modelling and Assembly of a Mini Caliper Using Autodesk Fusion
Objective
The purpose of this assessment is to evaluate the students’ ability to:
- Perform dimensional measurements using a physical caliper,
- Apply reverse engineering principles,
- Create accurate parametric CAD models,
- Generate individual components in Autodesk Fusion,
- Assemble multiple components using assembly constraints/joints,
- Demonstrate dimensional accuracy and technical modelling capability.
Assessment Description
Each student will be provided with a 3D printed mini caliper model consisting of three separate components:
- Main body (fixed scale)
- Sliding jaw component
- Locking/fastening cap component
Students must use their own caliper to measure all critical dimensions of the physical model. Based on the measured dimensions, students are required to:
- Create 3 separate 3D CAD models in Autodesk Fusion,
- Model all geometrical details as accurately as possible,
- Use proper parametric modelling methodology,
- Assemble all components using the Assembly workspace/module.
Submission Details:
- Compile your work into a single .RAR document, including both the 3D model representations and the corresponding technical drawings.
- Submit your file via email to alkimaydin@gazi.edu.tr.
Deadline:
All submissions must be completed and sent no later than 14/05/2026 at 12:30.
Submissions received after the specified deadline will not be considered for evaluation.
Ensure that your work demonstrates clarity, technical accuracy, and adherence to engineering standards.
You should extract all your files into single .RAR file. (RAR File should include your components + assembly file), .RAR file names should be in the following format: YOURSCHOOLNUMBER_YOURSURNAME_YOURNAME_ASSESSMENTNUMBER
Example format: 2026585396_UNAL_UGUR_ASSESSMENT5
Good luck.
Dear Students,
You are required to generate a three-dimensional (3D) solid model based on the reference image provided below. While the overall geometry must be consistent with the given model, you are allowed to define appropriate dimensional parameters based on engineering judgment.
Important Requirements:
- Ensure that all geometric features, including those not directly visible in the reference image (e.g., internal structures, hidden edges, or secondary features), are accurately interpreted and incorporated into your model.
- The final model must be complete, fully constrained, and manufacturable.
- Following the modelling stage, prepare a comprehensive set of technical drawings in accordance with standard engineering drawing conventions (e.g., dimensioning, section views, tolerances where applicable).
- A sample technical drawing has been provided as a reference for formatting and expected level of detail.
Submission Details:
- Compile your work into a single .PDF document, including both the 3D model representations and the corresponding technical drawings.
- Submit your file via email to alkimaydin@gazi.edu.tr.
Deadline:
All submissions must be completed and sent no later than 30/04/2026 at 12:30.
Submissions received after the specified deadline will not be considered for evaluation.
Ensure that your work demonstrates clarity, technical accuracy, and adherence to engineering standards.
Your PDF file names should be in the following format: YOURSCHOOLNUMBER_YOURSURNAME_YOURNAME_ASSESSMENTNUMBER
Example format: 2026585396_AYDIN_ALKIM_ASSESSMENT4
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 16/04/2026 11:00, 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
Assesment 3: Saturn Rocket V - (Page 30-38) - Please complete the rocket according to the instructions from Page 30 to Page 38. You should put your school number, your name and surname according to the relevant section which shown in bewlow.
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.