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Syllabus ( MATH 120 )


   Basic information
Course title: Calculus II
Course code: MATH 120
Lecturer: Prof. Dr. Mansur İSGENDEROĞLU (İSMAİLOV)
ECTS credits: 2
GTU credits: 2 (2+0+0)
Year, Semester: 1, 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: Teaching the solution methods for the Scientific, Engineering and Architectural problems
   Learning outcomes Up

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

  1. Identify integration techniques and solving the fundamental integral problems

    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. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.
    4. Being fluent in English to review the literature, present technical projects, and write journal papers.

    Method of assessment

    1. Written exam
  2. Solve fundamental integral problems

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

    Method of assessment

    1. Homework assignment
  3. Develop the mathematical research skills.

    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. Using technology as an efficient tool to understand mathematics and apply it.

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Introduction
Week 2: Set Theory and Fuzzy Logic.
Week 3: Real Numbers, Complex numbers, Coordinate Systems
Week 4: Functions, Linear equations
Week 5: Matrices
Week 6: Matrice operations
Week 7: Interactve week
Week 8: Limit, Derivatives, Chaos and Butterfly Effect
Week 9: Term Paper Presentations
Week 10: Integration by parts,
Week 11: Area and volume Integrals
Week 12: Introduction to Numeric Analysis
Week 13: Introduction to Statistics.
Week 14: Review
Week 15*: -
Week 16*: Final examination
Textbooks and materials: Thomas’ Calculus, 11th Edition and 12th Edition
Howard Anton Calculus: A new Horizon, 10th Edition, Wiley
Calculus and Analytic Geometry, Thomas and Finney, 6th Edition
Fuzzy Logic with Engineering Applications, Timothy J. Ross, 2010 Wiley
Recommended readings: https://www.khanacademy.org/math/geometry
http://mathworld.wolfram.com/
http://www.vitutor.com/maths.html
  * 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: 7 30
Other in-term studies: 0 0
Project: 0 0
Homework: 2 20
Quiz: 0 0
Final exam: 16 50
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 2 14
Own studies outside class: 0 0
Practice, Recitation: 0 0
Homework: 1 5
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 5 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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