Advanced Mathematics

ERCIYES UNIVERSITY
FACULTY OF ENGINEERING
DEPARTMENT OF MATERIALS SCIENCE
AND ENGINEERING
I. General Information
Course Title
Advanced Mathematics- I
Term
Second Year / Fall Semester
Department
Materials Science and Engineering
Coordinator
Assist. Prof. Dr. Nesrin KAYATAŞ DEMİR
ECTS: 5
Local Credits: 3
Address:
Tel:+90.0.352 437 49 01 (32107), E-mail: [email protected]
Web Page : http://abis.erciyes.edu.tr/Sorgu.aspx?Sorgu=3529
II. Course Information
CATALOG DESCRIPTION: Functions with multi-variables, limit, continuity, derivative, compound
function derivatives, closed function derivatives, variate transformation and determinant of
functions, Vector analysis, Vector functions, directional derivation, Gradient, divergence, rotational
and applications, Maximum and minimum, double integrals, region transformations of double
integrals, region transformations of area, volume, barycenter.
COURSE PRECONDITIONS:
LEARNING OBJECTIVES: To equip the students with the knowledge of applied mathematics to the
such extent that they can understand the mathematical expressions taking place in their curriculum
and that they can analyze and interpret any engineering problem that they may face during their
professional life.
COURSE STRUCTURE: The class is given in Turkish and meets for three lectures a week.
TEXTBOOK:
1. Spiegel, M. R, 1997. İleri Matematik, Nobel Yayın Dağıtım, Ankara
2. Balcı, M. 2009. Matematik Analiz 1, Balcı Yayınları, Ankara
3. Balcı, M. 2009. Matematik Analiz 2, Balcı Yayınları, Ankara
4. Ayres, F, 1992. Diferansiyel ve İntegral Hesap, Nobel Yayın Dağıtım, Ankara
GRADING:
1. Midterm 40 %
2. Final exam 60 %
TOPICS: (14 Weeks)
Week 1: Functions with multi-variables
Week 2: Limit, continuity
Week 3: Derivative
Week 4: Compound function derivatives
Week 5: Closed function derivatives
Week 6: Variate transformation and determinant of functions
Week 7: Vector analysis, Vector functions
Week 8: Mid-term exam
Week 9: Directional derivation
Week 10: Gradient, divergence, rotational and applications
Week 11: Maximum and minimum
Week 12: Double integrals
Week 13: Region transformations of double integrals
Week 14: Region transformations of area, volume, barycenter.
OUTCOME COVERAGE: