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-1
Adequate 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-2
Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO-3
Ability 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-4
Ability 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-5
Ability to design and conduct experiments, gather data, analyze and interpret results for investing complex engineering problems or discipline specific research questions.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability 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-8
Awareness 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
Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
PO-10
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PO-11
Knowledge 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-1
Discuss and explain the real numbers and the real line, cartesian coordinates in the plane, graphs of quadratic equations. (KNOWLEDGE)
LO-2
Identify functions and their graphs to combine functions to make new functions, polynomials and rational functions. (KNOWLEDGE)
LO-3
Describe the trigonometric functions, inverse functions, the inverse trigonometric functions. (KNOWLEDGE)
LO-4
Explain exponential and logarithmic functions, the natural logarithm and exponential. (KNOWLEDGE)
LO-5
Identify limits of functions, limits at infinity and infinite limits. (KNOWLEDGE)
LO-6
Express the role continuity. (KNOWLEDGE)
LO-7
Use tangent lines and their slopes, the derivative and the differentiation rules. (KNOWLEDGE)
LO-8
Explain 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-9
Analyze the Mean Value Theorem and use implicit differentiation. (KNOWLEDGE)
LO-10
Identify the indeterminate forms and resolve them using l'Hopital's Rule. (KNOWLEDGE)
LO-11
Identify extreme values and solve the extreme-value problems. (KNOWLEDGE)
LO-12
Identify concavity and inflections. (KNOWLEDGE)
LO-13
Explain and discuss sketching the graph of a function. (KNOWLEDGE)
