| Prerequisites and co-requisites |
|
| Language of instruction |
English |
| Type |
Required |
| Level of Course |
Bachelor's |
| Lecturer |
Asst. Prof. Ali Kemal HAVARE |
| Mode of Delivery |
Face to Face |
| Suggested Subject |
|
| Professional practise ( internship ) |
None |
| Objectives of the Course |
To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity. |
| Contents of the Course |
Limit, precise definiton of limit, limit at infinity. Derivative concept, derivative definition, differentiation rules, implicit differentiation, related rates. Maxima and minima, concavity, curve sketching, optimization. Area problem, definite integral, fuındamental theorem of Calculus, subsitution rule. Transcendental functions, their derivatives and integrals, indeterminate limits and L´Hospital rule. Integration by parts and other iintegration techniques.
|
| # |
Learning Outcomes |
| 1 |
Adequate 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.
|
| 2 |
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
|
| 3 |
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way 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.)
|
| 4 |
Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
|
| 5 |
Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.
|
| # |
Subjects |
Teaching Methods and Technics |
| 1 |
Introduction to functions
|
Lecture |
| 2 |
Limit concept, limit definition
|
Lecture |
| 3 |
Limit at infinity, infinity as a limit, continuity
|
Lecture |
| 4 |
Tangent problem, derivative definition
|
Lecture |
| 5 |
Area problem, definite integral and its properties
|
Lecture |
| 6 |
Chain rule, higher order derivatives, implicit differentiation
|
Lecture |
| 7 |
Curve sketching, applied optimization problems
|
Lecture |
| 8 |
Review, midterm exam
|
|
| 9 |
Area problem, definite integral and its properties
|
Lecture |
| 10 |
Fundamental Theorem of Calculus, indefinite integral, substitution rule
|
Lecture |
| 11 |
Exponential and logarithmic functions
|
Lecture |
| 12 |
Inverse trigonometric functions, indeterminate limits and L´Hospital rule
|
Lecture |
| 13 |
Integration by parts, trigonometric integrals, trigonometric substitution
|
Lecture |
| 14 |
Integration of rational functions, rationalizing substitutions
|
Lecture |
| 15 |
|
|
| 16 |
Final Exam |
|
| # |
Learning Outcomes |
Program Outcomes |
Method of Assessment |
| 1 |
Adequate 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.
|
1͵2 |
1 |
| 2 |
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
|
1͵3 |
1 |
| 3 |
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way 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.)
|
3 |
1 |
| 4 |
Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
|
1͵2͵8 |
2 |
| 5 |
Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.
|
4͵8 |
1͵2 |
