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 P.2 Cartesian Coordinates in the Plane P.3 Graphs of Quadratic equations Lecture
2. Week P.4 Functions and Their graphs P.5 Combining functions to make new functions Lecture
3. Week P.6 Polynomials and rational functions P.7 The Trigonometric Functions Lecture
4. Week 1.2 Limits of functions Lecture
5. Week 1.3 Limits of infinity and infinite limits 1.4 Continuity Lecture
6. Week 2.1 Tangent lines and their slopes 2.2 The derivative 2.3 Differentiation Rules Lecture
7. Week 2.4 The Chain rule 2.5 Derivatives of Trigonometric Functions Lecture
8. Week 2.6 Higher-Order Derivatives 2.8 The Mean-Value theorem Lecture, Exam
9. Week 2.9 Implicit differentiation 2.10 Antiderivatives and the indefinite integral Lecture
10. Week 3.1 Inverse functions 3.2 Exponential and Logarithmic functions Lecture
11. Week 3.3 The natural logarithm and Exponential 3.5 The Inverse Trigonometric functions Lecture
12. Week 3.6 Hyperbolic Functions 4.3 Indeterminate forms Lecture
13. Week 4.4 Extreme values 4.5 Concavity and Inflections Lecture
14. Week 4.6 Sketching the graph of a function Lecture
15. Week Final Exams Week Exam
16. Week Final Exams Week Exam
17. Week Final Exams Week Exam
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 the real numbers and the real line, cartesian coordinates in the plane, graphs of quadratic equations
LO-2Identify functions and their graphs to combine functions to make new functions, polynomials and rational functions.
LO-3Describe the trigonometric functions, inverse functions, the inverse trigonometric functions
LO-4Explain exponential and logarithmic functions, the natural logarithm and exponential
LO-5Identify limits of functions, limits at infinity and infinite limits
LO-6Express the role continuity
LO-7Use tangent lines and their slopes, the derivative and the differentiation rules
LO-8Explain the importance of the Chain Rule; identify the derivatives of trigonometric functions, inverse functions, exponential and logarithmic functions, the Inverse Trigonometric Functions; use the higher-order derivatives
LO-9Analyze the Mean Value Theorem and use implicit differentiation
LO-10Identify the indeterminate forms and resolve them using l'Hopital's Rule
LO-11Identify extreme values and solve the extreme-value problems
LO-12Identify concavity and inflections
LO-13Explain and discuss sketching the graph of a function
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix