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Syllabus ( MATH 212 )


   Basic information
Course title: Analysis IV
Course code: MATH 212
Lecturer: Assist. Prof. Samire YAZAR
ECTS credits: 7
GTU credits: 4 (3+2+0)
Year, Semester: 2, Spring
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: English
Mode of delivery: Face to face
Pre- and co-requisites: None
Professional practice: No
Purpose of the course: Teach integration of multivariable functions.
   Learning outcomes Up

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

  1. Solve integral problems related to multivariable functions

    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. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    3. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.
    4. Exhibiting professional and ethical responsibility.

    Method of assessment

    1. Homework assignment
  2. Identify advanved integral theorems

    Contribution to Program Outcomes

    1. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    2. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
  3. Interpret curvilinear integral

    Contribution to Program Outcomes

    1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
    2. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    3. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Multiple Integrals, Double Integrals and Its Properties
Week 2: Iterated Integrals, Fubinis Theorem
Week 3: Application of Double Integrals.
Week 4: Triple Integrals
Week 5: Change of Variables
Week 6: Midterm exam I and solutions
Week 7: Line Integrals
Week 8: Fundamental Theorem for Line Integrals
Week 9: Greens Theorem
Week 10: Surface Integrals
Week 11: Midterm exam II and solutions
Week 12: Stokes Theorem
Week 13: Divergence Theorem
Week 14: Application of Stokes and Divergence Formulas
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
  * 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, 11 25
Other in-term studies: 0 0
Project: 0 0
Homework: 2,4,7,9,12 10
Quiz: 3,5,7,9,14 10
Final exam: 16 55
  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: 10 7
Practice, Recitation: 2 14
Homework: 2 5
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 10 1
Mid-term: 2 1
Personal studies for final exam: 10 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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