Undergraduate
Faculty of Engineering and Architecture
Electrical and Electronics Engineering
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Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
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Course Goals To teach the fundamental mathematical concepts to be used in engineering problems.
Prerequisite(s)
Corequisite(s)
Special Requisite(s)
Instructor(s)
Course Assistant(s)
Schedule
Office Hour(s)
Teaching Methods and Techniques
Principle Sources
Other Sources
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 MIDTERM EXAM 31.03.2017 Saturday at 10:00
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 9.4 Absolute and Conditional Convergence Lecture and Recitations
13. Week 9.5 Power Series Lecture and Recitations
14. Week 9.6 Taylor and Maclaurin Series Lecture and Recitations
15. Week Final Exam Week FINAL EXAM 08.05.2017 at 10:00
16. Week Final Exam Week MAKEUP EXAM 29.05.2017 at 10:00
17. Week Final Exam Week
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 40
Final Exam 1 60


Program Outcomes
PO-1Adequate 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-2Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO-3Ability 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-4Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
PO-5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.
PO-6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language.
PO-8Recognition 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-9Awareness of professional and ethical responsibility.
PO-10Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
PO-11Knowledge 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-1Discuss and explain antiderivatives, the indefinite integral, sums and sigma notation, and areas as limits of sums
LO-2Identify the definite integral and properties of it
LO-3Describe the Fundamental Theorem of Calculus, the method of substitution, and integration by parts
LO-4Explain integrals of rational functions and inverse substitutions
LO-5Identify areas of plane regions
LO-6Express improper integrals
LO-7Identify volumes by slicing and Solids of revolution; discuss the arc length and surface area
LO-8Explain parametric curves, smooth parametric curves and their slopes, and arc lengths and areas for parametric curves
LO-9Analyze polar coordinates and polar curves
LO-10Identify slopes, areas, and arc lengths for polar curves
LO-11Describe sequences and convergence
LO-12Analyze infinite series, convergence tests for positive Series, and absolute and conditional convergence
LO-13Explain and discuss power series, and Taylor and Maclaurin series
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix