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Syllabus ( MATH 201 )


   Basic information
Course title: Calculus III
Course code: MATH 201
Lecturer: Prof. Dr. Sibel ÖZKAN
ECTS credits: 6
GTU credits: 4 (4+0+0)
Year, Semester: 2, Fall
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: Turkish
Mode of delivery: Face to face
Pre- and co-requisites: None
Professional practice: No
Purpose of the course: Covering the selected topics from advanced calculus and Fourier Analysis to provide mathematical foundations for the future engineering courses.
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Recall fundamental math contents, methods and techniques

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

    Method of assessment

    1. Written exam
  2. Apply solution techniques to the fields of Engineering and Physics

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

    Method of assessment

    1. Written exam
  3. Conduct studies and researches in the fields of Engineering and Physics

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
    3. Ability to work in interdisciplinary research teams effectively.

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Vector and Scalar Fields, Gradient, Conservative Fields
Week 2: Line Integrals, Independence of Path
Week 3: Surface Integrals
Week 4: Divergence and Curl
Week 5: Green's Theorem and Its Applications
Week 6: Divergence Theorem, Midterm I

Week 7: Stokes Theorem
Week 8: Fourier Series, Dirichlet Conditions
Week 9: Fourier cosine and sine series, Half range series
Week 10: Parseval's Identity, Midterm II
Week 11: Differantiation and Integration of Fourier Series
Week 12: Komplex Fourier Series
Week 13: Fourier Integrals
Week 14: An introduction to Fourier Transforms
Week 15*: -
Week 16*: Final exam
Textbooks and materials:
Recommended readings: Schaums Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel / Paperback / McGraw-Hill Professional / March 2002 Fourier Series: Georgi P. Tolstov, Richard A. Silverman (Translator) / Paperback / Dover Publications, Incorporated / November 1987 Genel Matematik 2 ve Matematik Analiz 2: Prof. Dr. Mustafa BALCI. Balcı Yayınları Ltd.
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 6,10 40
Other in-term studies: 0
Project: 0
Homework: 0
Quiz: 0
Final exam: 16 60
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 3 14
Practice, Recitation: 2 14
Homework: 0 0
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 10 2
Mid-term: 4 2
Personal studies for final exam: 12 1
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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