FACULTY OF ENGINEERING
MECHANICAL ENGINEERING
MECHANICAL ENGINEERING
Course Name   APPLIED MATHEMATICS FOR MECHANICAL ENGINEERS
Semester Course Code Theoretical / Practice time ECTS
4 1210412 3 / 0 5
Course Degree Bachelor's degree
Course Language İngilizce
Format of Delivery: Face to Face
Course Coordinator
Coordinator e-mail
Instructors
Asistant Instructors
Course Objectives To understand the theory of linear algebra. To understand multi variable calculus
Basic Sciences Engineering Scinces Social Sciences Educational Sciences Artistic sciences Medical Science Agricultural sciences
85 15 0 0 0 0 0
Course Learning Methods and Techniquies
Delivery, question-answer, exercise problems, homework projects.
Week Course Content Resource
1 Rewiev of basic concepts 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
2 Systems of linear equations 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
3 Elementary row operations 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
4 Operations on matrices 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
5 Inverse of a matrix 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
6 Characteristic equation, eigenvalues and eigenvectors 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
7 multi-variable functions 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
8 Partial derivatives and gradient 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
8 Midterm Examination
9 Line integral, conservative fields and potential function 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
10 Line integrals, conservative fields and potential functions 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
11 Greens theorem 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
12 Surface integral 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
13 Divergence theorem 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
14 Stokes theorem 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
15 Review 1- E. Kreyszig ,Advanced Engineering Mathematics,John Wiley and Sons Inc. 2- G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2009 3- James Stewart, Calculus: Early Transcendentals Fifth Edition, 2003. 4- Calculus and Analytic Geometry , Thomas and Finney Addison-Wesley Publ., 1996
Assesment Criteria   Mid-term exam Final exam
  Quantity Percentage Quantity Percentage  
Term Studies : - - - -
Attendance / Participation : - - - -
Practical Exam : - - - -
Special Course Exam : - - - -
Quiz : - - - -
Homework : - - - -
Presentations and Seminars : - - - -
Projects : - - - -
Workshop / Laboratory Applications : - - - -
Case studies : - - - -
Field Studies : - - - -
Clinical Studies : - - - -
Other Studies : - - - -
Mid-term exam   1 40 - -
Final exam   - - 1 60
ECTS WORK LOAD TABLE   Number Duration
Course Duration : 14 3
Classroom Work Time : 14 5
Presentations and Seminars : - -
Course Internship : - -
Workshop / Laboratory Applications : - -
Field Studies : - -
Case studies : - -
Projects : - -
Homework : - -
Quiz : - -
Mid-term exam : 1 18
Final Exam : 1 20
ECTS 5
No COURSE LEARNING OUTCOMES CONTRIBUTION
D.Ö.Ç. 1 To identify a system of linear equations and describe its solution solution set 4
D.Ö.Ç. 2 To use elementary row operations to reduce matrices to echelon forms 4
D.Ö.Ç. 3 To understand the meaning of linear independence/dependence 3
D.Ö.Ç. 4 To perform standard operations with matrices including addition and multiplication and inversing 4
D.Ö.Ç. 5 To define and compute determinants 3
D.Ö.Ç. 6 To find eigenvalues and eigenvectors of square matrices 4
D.Ö.Ç. 7 To calculate the gradients and directional derivatives of functions of several variables 4
D.Ö.Ç. 8 To understand the concepts of vectors in two-dimensions and three dimensions, to develop a working knowledge of two-variables functions including partial derivatives 4
D.Ö.Ç. 9 To calculate line integrals along piecewise smooth paths, interpret such quantities as work done by a force 4
D.Ö.Ç. 10 To develop a solid understanding of multiple integrals including Greens and Stokes Theorems 4
* 1: Zayıf - 2: Orta - 3: İyi - 4: Çok İyi
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