CALCULUS II
- Course
- MAT102 - CALCULUS II
- Department
- Institute of Graduate Studies and Research
- Course Type
- Scientific Preparation
- Status
- Required
- Language
- English
- Credit
- 0
- ECTS
- 0
- T+P+L
- 0 + 0 + 0
- Course Coordinator(s)
- Assoc. Prof. Dr. Ali ÖZYAPICI
- Prerequisite
- -
- Keywords
- -
Course Description
-
CALCULUS II
Evaluation Tools (Active Term)
| Item | Type | Weight (%) |
|---|---|---|
| Final | Final | 50 |
| Midterm | Midterm | 40 |
| Online Quiz | Quiz | 10 |
| Total | 100 | |
Course outcomes
- 01 1. Identify the series and sequences
- 02 2. decide the convergences of series and sequences.
- 03 3. analyze the convergence criterion of power series
- 04 5. Find parametric and polar equations
- 05 analyze the several variable functions
Course Syllabus
| Week | Topic |
|---|---|
| Week 1 | Sequences, |
| Week 2 | Geometric series. Harmonic series, integral test. |
| Week 3 | The Ratio and root tests. Power series. |
| Week 4 | Taylor and Maclaurin series. |
| Week 5 | Polar coordinates. |
| Week 6 | Midterm Week. |
| Week 7 | Midterm Exam |
| Week 8 | Parametric equations and Vectors. |
| Week 9 | Lines and Planes. |
| Week 10 | Functions of several variables. Partial derivatives |
| Week 11 | The Chain Rule. |
| Week 12 | Extreme Values. |
| Week 13 | Multiple Integrals. |
| Week 14 | Final Week. |
| Week 15 | - |
Reference Books & Course Materials
- 01 Thomas’ Calculus Early Transcendentals, M.D. Weir, J. Hass, F.R. Giordano, 12th Edition, Pearson, ISBN-13: 978-0321888549 ISBN-10: 0321888545
- 02 Calculus, Larson Edwards, 9th Edition, Brooks/Cole . ISBN-13: 978-1285057095 ISBN-10: 1285057090
- 03 Calculus, Complete Course, Roberts A. Adams, Eleventh Edition. ISBN-13: 978-0321549280 ISBN-10: 0321549287
Learning Outcomes
- L01 1. Identify the series and sequences SOLO 0
- L02 2. decide the convergences of series and sequences. SOLO 4
- L03 3. analyze the convergence criterion of power series SOLO 0
- L04 4. Apply multiple integrals SOLO 0
- L05 5. Find parametric equations and find Taylor series of functions. SOLO 0
Program Outcomes
- Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledgein these areas in complex engineering problems
- Ability to identify, formulate, and solve complex environmental problems; ability to select and apply proper analysis and modeling methods for this purpose.
- Ability to design and conduct experiments, gather data, analyze and interpret results for investigating environmental problems or discipline specific research questions.
- Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
- Ability to communicate effectively in English, both orally and in writing; knowledge of a minimum of one foreign language
- Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
- Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
- Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
- Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
Po-Lo Matrix
| LO | Average | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| L01 | - | - | - | - | - | - | - | - | - | - |
| L02 | - | - | - | - | - | - | - | - | - | - |
| L03 | - | - | - | - | - | - | - | - | - | - |
| L04 | - | - | - | - | - | - | - | - | - | - |
| L05 | - | - | - | - | - | - | - | - | - | - |