Undergraduate
Faculty of Engineering and Architecture
Industrial 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-1Ability to apply theoretical and practical knowledge gained by Mathematics, Science and their engineering fields and ability to use their knowledge in solving complex engineering problems.
PO-2Ability of determining, defining, formulating and solving complex engineering problems; for that purpose develop the ability of selecting and implementing suitable models and methods of analysis.
PO-3Ability of designing a complex system, process, device or product under real world constraints and conditions serving certain needs; for this purpose ability of applying modern design techniques
PO-4Ability of selecting and using the modern techniques and devices which are necessary for analyzing and solving complex problems in engineering implementations; ability of efficient usage of information technologies.
PO-5Ability of designing experiments, conducting tests, collecting data and analyzing and interpreting the solutions to investigate of complex engineering problems or discipline-specific research topics.
PO-6Ability of working efficiently in intra-disciplinary and multi-disciplinary teams; individual working ability and habits.
PO-7Ability of verbal and written communication skills; and at least one foreign language skills, ability to write effective reports and understand written reports, ability to prepare design and production reports, ability to make impressive presentation, ability to give and receive clear and understandable instructions
PO-8Awareness of importance of lifelong learning; ability to access data, to follow up the recent innovation in science and technology for continuous self-improvement.
PO-9Conformity to ethical principles; knowledge about occupational and ethical responsibility, and standards used in engineering applications.
PO-10Knowledge about work life implementations such as project management, risk management and change management; awareness about entrepreneurship and innovativeness; knowledge about sustainable development.
PO-11Knowledge about effects of engineering applications on health, environment and security in global and social dimensions, and on the problems of the modern age in engineering; awareness about legal outcomes 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