Syllabus ( MATH 120 )
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Basic information
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| Course title: |
Calculus II |
| Course code: |
MATH 120 |
| Lecturer: |
Assoc. Prof. Dr. Selçuk TOPAL
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| ECTS credits: |
2 |
| GTU credits: |
2 (2+0+0) |
| Year, Semester: |
1, Spring |
| Level of course: |
First Cycle (Undergraduate) |
| Type of course: |
Compulsory
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| Language of instruction: |
English
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| Mode of delivery: |
Face to face
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| Pre- and co-requisites: |
None |
| Professional practice: |
No |
| Purpose of the course: |
To teach the solution methods for the Scientific, Engineering and Architectural problems. |
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Learning outcomes
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Upon successful completion of this course, students will be able to:
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Identify integration techniques and solving the fundamental integral problems
Contribution to Program Outcomes
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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.
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Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
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Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.
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Being fluent in English to review the literature, present technical projects, and write journal papers.
Method of assessment
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Written exam
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Solve fundamental integral problems
Contribution to Program Outcomes
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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.
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Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
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Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.
Method of assessment
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Homework assignment
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Develop the mathematical research skills.
Contribution to Program Outcomes
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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.
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Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
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Using technology as an efficient tool to understand mathematics and apply it.
Method of assessment
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Written exam
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Contents
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| 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: |
Interactive 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 Exam. |
| 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
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* Between 15th and 16th weeks is there a free week for students to prepare for final exam.
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Assessment
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| Method of assessment |
Week number |
Weight (%) |
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| Mid-terms: |
7 |
40 |
| Other in-term studies: |
0 |
0 |
| Project: |
0 |
0 |
| Homework: |
0 |
0 |
| Quiz: |
0 |
0 |
| Final exam: |
16 |
60 |
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Total weight: |
(%) |
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Workload
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| Activity |
Duration (Hours per week) |
Total number of weeks |
Total hours in term |
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| Courses (Face-to-face teaching): |
2 |
14 |
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| Own studies outside class: |
0 |
0 |
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| Practice, Recitation: |
0 |
0 |
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| Homework: |
0 |
0 |
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| Term project: |
0 |
0 |
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| Term project presentation: |
0 |
0 |
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| Quiz: |
0 |
0 |
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| Own study for mid-term exam: |
5 |
1 |
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| Mid-term: |
2 |
1 |
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| Personal studies for final exam: |
10 |
1 |
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| Final exam: |
2 |
1 |
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Total workload: |
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Total ECTS credits: |
* |
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* ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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