Undergraduate
Faculty of Engineering and Architecture
Civil Engineering
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Calculus I

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
MCB1001 1 Calculus I 4/0/0 CC English 7
Course Goals
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
Course Assistant(s) -
Schedule Section-A: Prof. Dr. MERT ÇAĞLAR Tuesday 13:00-15:00 (ZD-1) / Friday 09:00-11:00 (ZB-1) Section-B: Prof. Dr. MERT ÇAĞLAR Tuesday 15:00-17:00 (B1-3) / Friday 11:00-13:00 (ZB-1) Section-C: Doç. Dr. EMEL YAVUZ Tuesday 09:00-11:00 (ZD-1) / Friday 13:00-15:00 (B1-3) Section-D: Doç. Dr. EMEL YAVUZ Tuesday 11:00-13:00 (B1-2) / Friday 15:00-17:00 (B1-2)
Office Hour(s) Prof. Dr. Mert ÇAĞLAR Tuesday 10:00-12:00, İKU-CATS ; Doç Dr. Emel YAVUZ Wednesday 13:00-15:00, İKU-CATS
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 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
16. Week
17. 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 knowledge in these areas in the solution of complex engineering problems.
PO-2Ability to 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 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-4Ability 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-5Ability to design and conduct experiments, gather data, analyze and interpret results for investing complex engineering problems or discipline specific research questions.
PO-6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7Ability 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-8Awareness 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-9Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
PO-10Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PO-11Knowledge 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-1Discuss and explain the real numbers and the real line, cartesian coordinates in the plane, graphs of quadratic equations. (KNOWLEDGE)
LO-2Identify functions and their graphs to combine functions to make new functions, polynomials and rational functions. (KNOWLEDGE)
LO-3Describe the trigonometric functions, inverse functions, the inverse trigonometric functions. (KNOWLEDGE)
LO-4Explain exponential and logarithmic functions, the natural logarithm and exponential. (KNOWLEDGE)
LO-5Identify limits of functions, limits at infinity and infinite limits. (KNOWLEDGE)
LO-6Express the role continuity. (KNOWLEDGE)
LO-7Use tangent lines and their slopes, the derivative and the differentiation rules. (KNOWLEDGE)
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. (KNOWLEDGE)
LO-9Analyze the Mean Value Theorem and use implicit differentiation. (KNOWLEDGE)
LO-10Identify the indeterminate forms and resolve them using l'Hopital's Rule. (KNOWLEDGE)
LO-11Identify extreme values and solve the extreme-value problems. (KNOWLEDGE)
LO-12Identify concavity and inflections. (KNOWLEDGE)
LO-13Explain and discuss sketching the graph of a function. (KNOWLEDGE)
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10PO 11