To teach the fundamental mathematical concepts to be used in engineering problems.
Prerequisite(s)
-
Corequisite(s)
-
Special Requisite(s)
-
Instructor(s)
Professor MERT ÇAĞLAR, Assoc. Prof. EMEL YAVUZ, Assist. Prof. Dr. Uğur GÖNÜLLÜ
Course Assistant(s)
-
Schedule
İKÜ-CATS-TUESDAY: Assis. Prof. Uğur GÖNÜLLÜ Sec A- 09:00-11:00 Sec-B:11:00-13:00, Assoc. Prof. Emel YAVUZ, Sec-C:13:00-15:00, Sec D:15:00-17:00, Prof. Dr. Mert ÇAĞLAR Sec-E:13:00-15:00, Sec F: 15:00-17:00, FRIDAY: Assis. Prof. Uğur GÖNÜLLÜ Sec A- 13:00-15:00 Sec-B:15:00-17:00, Assoc. Prof. Emel YAVUZ, Sec-C:09:00-11:00, Sec D:11:00-13:00, Prof. Dr. Mert ÇAĞLAR Sec-E:09:00-11:00, Sec F: 11:00-13:00,
Office Hour(s)
Mert ÇAĞLAR, Tuesday 10:00-12:00 - Emel Yavuz, Friday 13:00-15:00 - Uğur Gönüllü, Wednesday 11:00-13:00
Teaching Methods and Techniques
-Lecture and Recitation
Principle Sources
-Robert A. Adams and Christopher Essex (2013). Calculus: A Complete Course, 8th Edition. Pearson Canada.
Other Sources
-Weir and Hass, Thomas' Calculus, Thirteen Edition, 2016, Pearson Publication.
Course Schedules
Week
Contents
Learning Methods
1. Week
5.1 Sums and Sigma Notation
5.2 Areas as limits of Sums
Lecture and Recitations
2. Week
5.3 The Definite Integral
5.4 Properties of the Definite Integral
Lecture and Recitations
3. Week
5.5 The Fundamental Theorem of Calculus
5.6 The Method of Substitution
Lecture and Recitations
4. Week
5.7 Areas of Plane Regions
6.1 Integration by Parts
Lecture and Recitations
5. Week
6.2 Integration of Rational Functions
Lecture and Recitations
6. Week
6.3 Inverse Substitutions
Lecture and Recitations
7. Week
6.5 Improper Integrals
Lecture and Recitations
8. Week
7.1 Volumes by Slicing-Solids of Revolution
7.3 Arc Length and Surface Area
Lecture and Recitations
9. Week
8.2 Parametric Curves
8.4 Arc Lengths and Areas for Parametric Curves
Lecture and Recitations
10. Week
8.5 Polar Coordinates and Polar Curves
8.6 Slopes, Areas, and Arc Lengths for Polar Curves
Lecture and Recitations
11. Week
9.1 Sequences and Convergence
9.2 Infinite Series
Lecture and Recitations
12. Week
9.3 Convergence Tests for Positive Series
Lecture and Recitations
13. Week
9.4 Absolute and Conditional Convergence
Lecture and Recitations
14. Week
9.5 Power Series
9.6 Taylor and Maclaurin Series
Lecture and Recitations
15. Week
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO-1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems.
PO-2
Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO-3
Ability to design a complex systemi process, device or product under realistic constraints and conditions, in such a way as to meet the desired results; ability to apply modern design methods for this purpose.
PO-4
Ability to select and use modern techniques and tools needed for analyzing and Solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
PO-5
Ability to design and conduct experiments, gather data, analyze and interpret results for investing complex engineering problems or discipline specific research questions.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability to communicate effectivley, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instruction.
PO-8
Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO-9
Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
PO-10
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PO-11
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.
Learning Outcomes
LO-1
Discuss and explain antiderivatives, the indefinite integral, sums and sigma notation, and areas as limits of sums. (KNOWLEDGE)
LO-2
Identify the definite integral and properties of it. (KNOWLEDGE)
LO-3
Describe the Fundamental Theorem of Calculus, the method of substitution, and integration by parts. (KNOWLEDGE)
LO-4
Explain integrals of rational functions and inverse substitutions. (KNOWLEDGE)
LO-5
Identify areas of plane regions. (KNOWLEDGE)
LO-6
Express improper integrals. (KNOWLEDGE)
LO-7
Identify volumes by slicing and Solids of revolution; discuss the arc length and surface area. (KNOWLEDGE)
LO-8
Explain parametric curves, smooth parametric curves and their slopes, and arc lengths and areas for parametric curves. (KNOWLEDGE)
LO-9
Analyze polar coordinates and polar curves. (KNOWLEDGE)
LO-10
Identify slopes, areas, and arc lengths for polar curves. (KNOWLEDGE)
LO-11
Describe sequences and convergence. (KNOWLEDGE)
LO-12
Analyze infinite series, convergence tests for positive Series, and absolute and conditional convergence. (KNOWLEDGE)
LO-13
Explain and discuss power series, and Taylor and Maclaurin series. (KNOWLEDGE)
