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Syllabus ( MATH 202 )


   Basic information
Course title: Calculus IV
Course code: MATH 202
Lecturer: Assist. Prof. Samire YAZAR
ECTS credits: 6
GTU credits: 3 (3+0+0)
Year, Semester: 2/4, Fall
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: English
Mode of delivery: Face to face
Pre- and co-requisites: N/A
Professional practice: No
Purpose of the course: To teach fundamental math contents, methods and techniques, and its applications for the study of Engineering and Physics. To provide supports on studıes and researches in the area of Engineering and Physics
   Learning outcomes Up

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

  1. Utilize technology as an effective tool in investigating, understanding, and applying mathematics

    Contribution to Program Outcomes

    1. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
  2. Work effectively in multi-disciplinary research teams

    Contribution to Program Outcomes

    1. Ability to work in interdisciplinary research teams effectively.

    Method of assessment

    1. Homework assignment
  3. Relate mathematics to other disciplines and develop mathematical models for multidisciplinary problems

    Contribution to Program Outcomes

    1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Multiple Integrals: Double integrals and properties of double integrals
Week 2: Iteration of double integrals, improper integrals and Mean-Value Theorem
Week 3: Double integrals in polar coordinates
Week 4: Triple integrals, change of variables in triple integrals
Week 5: Application of multiple integrals
Week 6: Midterm1 and solutions

Week 7: Vector and scalar fields, conservative fields
Week 8: Line integrals, line integrals of vector fields, independence of path
Week 9: Surfaces and surface integrals
Week 10: Application of surface integrals
Week 11: Midterm 2 and solutions
Week 12: Gradient, divergence and curl
Week 13: Green Theorem in the plane
Week 14: IDivergence and Stokes Theorems
Week 15*: -
Week 16*: Final exam
Textbooks and materials:
Recommended readings: 1. G.M. Fikhtengol’ts, “The Fundamentals of Mathematical Analysis”
2. W. R. Parzynski, “Introduction to the Mathematical Analysis”
3. Murray R. Spiegel, “Advanced Calculus”
4. Wilfred Kaplan, “Advanced Calculus”
5. R. A. Adams and Christopher Essex, “Calculus”
  * 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 30
Other in-term studies: 0
Project: 0
Homework: 2,4,6,8,10 10
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: 5 14
Practice, Recitation: 0 0
Homework: 4 6
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 0 0
Mid-term: 2 1
Personal studies for final exam: 6 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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