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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MEE 5055 COMPUTER AIDED MATHEMATICS FOR ENGINEERS ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR HIRA KARAGÜLLE

Offered to

Machine Theory and Dynamics Machine Theory and Dynamics

Course Objective

The objective of this course is to teach main mathematical methods in mechanical engineering using computers.

Learning Outcomes of the Course Unit

1   To identify the mathematical models 2   To select the solution methods 3   To understand the theory of the solutions 4   To solve equations by computers using MatLAB 5   To evaluate the solutions by engineering approach

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Solutions of linear algebraic equations (Mechanics, electric circuits) 2 Systems of nonlinear algebraic equations (Newton-Raphson method) 3 Engineering applications: nonlinear algebraic equations (Mechanism design, intersection of curves) 4 Least square regression (Analysis of experimental data) 5 Lagrange interpolation (Application in geometric modeling) 6 Roots of polynomıals (Baistrow method, eigenvalues of differential equations) 7 Mid Term Exam-1 8 Solutions of differential equations 9 Engineering applications: solutions of differential equations (Vibration, control) 10 Laplace transform 11 Engineering applications: Laplace transform (Vibration, control) 12 Mid Term Exam 2 13 System of linear differential equations (Eigenvalue problem) 14 Engineering applications: system of linear differential equations (vibration, control)

Recomended or Required Reading

S. C. Chapra, R. P. Canale, Numerical Methods for Engineers, 4ıh Edition, McGraw-Hill, 2002.

Planned Learning Activities and Teaching Methods

PowerPoint presentations, home works, computer applications

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE 1 MIDTERM EXAM 1 2 MTE 2 MIDTERM EXAM 2 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE 1 * 0.25 + MTE 2 * 0.25 + FCG * 0.5 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE 1 * 0.25 + MTE 2 * 0.25 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

Home works are assigned to the students each week after the weekly lessons. Students strengthen their learning by solving home works. The successes of the students are evaluated by 2 mid-term exams and 1 final exam.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

hira.karagulle@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 12 3 36 Preparations before/after weekly lectures 12 3 36 Preparing assignments 12 5 60 Preparation for midterm exam 2 12 24 Preparation for final exam 1 15 15 Midterm 2 2 4 Final 1 2 2 TOTAL WORKLOAD (hours) 177

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 PO.15 LO.1 5 2 5 LO.2 5 5 LO.3 5 2 5 LO.4 5 4 4 5 LO.5 5 5