To teach the fundamental mathematical concepts to be used in engineering problems.
Prerequisite(s)
None…
Corequisite(s)
None
Special Requisite(s)
None
Instructor(s)
Professor Mert Çağlar, Assist. Prof. Dr. Fatih Uçar, Assist. Prof. Dr. Günay Aslan, Assist. Prof. Dr. Uğur Gönüllü
Course Assistant(s)
-
Schedule
TUESDAY: Sec A: Prof. Dr. Mert ÇAĞLAR 13:00-14:45,
Sec B: Prof. Dr. Mert ÇAĞLAR 15:00-16:45,
Sec C-Doç. Dr. Emel YAVUZ 09:00-10:45,
Sec-D-Doç. Dr. Emel YAVUZ 11:00-12:45,
Sec-E-Dr. Öğ. Üye. Alper ÜLKER 13:00-14:45,
Sec-F-Dr. Öğ. Üye. Alper ÜLKER 15:00-16:45,
FRIDAY: Sec A: Prof. Dr. Mert ÇAĞLAR 09:00-10:45,
Sec B: Prof. Dr. Mert ÇAĞLAR 11:00-12:45,
Sec C-Doç. Dr. Emel YAVUZ 09:00-10:45,
Office Hour(s)
Prof. Dr. Mert ÇAĞLAR Tuesday 10:00-12:00,
Assoc. Prof. Emel YAVUZ Tuesday Thursday 13:00-16:00,
Ast. Prof. Dr. Alper ÜLKER Friday 09.00-11.00.
-Hass J., Heil C., Weir M., (2017). Thomas' Calculus 14th Edition. Pearson, USA.
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
Homework / Term Projects / Presentations
1
20
Final Exam
1
40
Program Outcomes
PO-1
Ability 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-2
Ability 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-3
Ability 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-4
Ability 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-5
Ability 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-6
Ability of working efficiently in intra-disciplinary and multi-disciplinary teams; individual working ability and habits.
PO-7
Ability 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-8
Awareness of importance of lifelong learning; ability to access data, to follow up the recent innovation in science and technology for continuous self-improvement.
PO-9
Conformity to ethical principles; knowledge about occupational and ethical responsibility, and standards used in engineering applications.
PO-10
Knowledge about work life implementations such as project management, risk management and change management; awareness about entrepreneurship and innovativeness; knowledge about sustainable development.
PO-11
Knowledge 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-1
Discuss and explain the real numbers and the real line, cartesian coordinates in the plane, graphs of quadratic equations
LO-2
Identify functions and their graphs to combine functions to make new functions, polynomials and rational functions.
LO-3
Describe the trigonometric functions, inverse functions, the inverse trigonometric functions
LO-4
Explain exponential and logarithmic functions, the natural logarithm and exponential
LO-5
Identify limits of functions, limits at infinity and infinite limits
LO-6
Express the role continuity
LO-7
Use tangent lines and their slopes, the derivative and the differentiation rules
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
LO-9
Analyze the Mean Value Theorem and use implicit differentiation
LO-10
Identify the indeterminate forms and resolve them using l'Hopital's Rule
LO-11
Identify extreme values and solve the extreme-value problems
LO-12
Identify concavity and inflections
LO-13
Explain and discuss sketching the graph of a function
