To teach the fundamental mathematical concepts to be used in engineering problems.
Prerequisite(s)
None
Corequisite(s)
None
Special Requisite(s)
None
Instructor(s)
Assist. Prof. Dr. Uğur Gönüllü
Course Assistant(s)
-
Schedule
Tuesday: 13:00-15:00
Friday: 11:00-13:00
Office Hour(s)
Thursday: 10:00-11:00, 3-A-15
Teaching Methods and Techniques
-Lecture and Recitation.
Principle Sources
-Robert A. Adams and Christopher Essex (2010). Kalkülüs Eksiksiz Bir Ders Cilt 1, Palme Yayınevi
Other Sources
--Maurice D. Weir ve Joel Hass, Thomas Kalkülüs, Cilt 1, On İkinci baskı, Pearson Yayınları, 2010.
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
2.3 The precise definition of a limit
2.4 One-sided limits
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(%)
Homework / Term Projects / Presentations
1
50
Final Exam
1
50
Program Outcomes
PO-1
Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2
Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3
Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4
Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5
Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6
Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7
Using time effectively in inventing solutions by implementing analytical thinking.
PO-8
Understanding professional ethics and responsibilities.
PO-9
Having the ability to behave independently, to take initiative, and to be creative.
PO-10
Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11
Using professional knowledge for the benefit of the society.
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
