Professor Mert ÇAĞLAR, Assist. Prof. Dr. Uğur GÖNÜLLÜ, Assoc. Prof. Emel YAVUZ, Assist. Prof. Dr. Selçuk TÜRER
Course Assistant(s)
None
Schedule
TBA
Office Hour(s)
TBA
Teaching Methods and Techniques
Lecture and Recitation
Principle Sources
Robert A. Adams and Christopher Essex (2010). Calculus: A Complete Course, Seventh Edition. Pearson Canada. 9780321549280
Other Sources
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Course Schedules
Week
Contents
Learning Methods
1. Week
Antiderivatives, The Indefinite Integral, Sums and Sigma Notation, Areas as Limits of Sums
Lecture
2. Week
The Definite Integral, Properties of the Definite Integral
Lecture
3. Week
The Fundamental Theorem of Calculus
Lecture
4. Week
The Method of Substitution, Integration by Parts
Lecture
5. Week
Integrals of Rational Functions, Inverse Substitutions
Lecture
6. Week
Areas of Plane Regions
Lecture, Midterm I
7. Week
Improper Integrals
Lecture
8. Week
Volumes by Slicing-Solids of Revolution, Arc Length and Surface Area
Lecture
9. Week
Parametric Curves, Smooth Parametric Curves Their Slopes, Arc Lengths and Areas for Parametric Curves
Lecture
10. Week
Polar Coordinates and Polar Curves
Lecture
11. Week
Slopes, Areas, and Arc Lengths for Polar Curves
Lecture
12. Week
Sequences and Convergence
Lecture, Midterm II
13. Week
Infinite Series, Convergence Tests for Positive Series, Absolute and Conditional Convergence
Lecture
14. Week
Power Series, Taylor and Maclaurin Series
Lecture
15. Week
Final Exam Week
Final Exam
16. Week
Final Exam Week
Final Exam
17. Week
Final Exam Week
Final Exam
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
2
60
Final Exam
1
40
Program Outcomes
PO-1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
PO-2
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
PO-3
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
PO-4
Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
PO-5
Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language.
PO-8
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.
PO-9
Awareness of professional and ethical responsibility.
PO-10
Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
PO-11
Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; 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.
LO-2
Identify the definite integral and properties of it.
LO-3
Describe the Fundamental Theorem of Calculus, the method of substitution, and integration by parts.
LO-4
Explain integrals of rational functions and inverse substitutions.
LO-5
Identify areas of plane regions.
LO-6
Express improper integrals.
LO-7
Identify volumes by slicing and Solids of revolution; discuss the arc length and surface area.
LO-8
Explain parametric curves, smooth parametric curves and their slopes, and arc lengths and areas for parametric curves.
LO-9
Analyze polar coordinates and polar curves.
LO-10
Identify slopes, areas, and arc lengths for polar curves.
LO-11
Describe sequences and convergence.
LO-12
Analyze infinite series, convergence tests for positive Series, and absolute and conditional convergence.
LO-13
Explain and discuss power series, and Taylor and Maclaurin series.
