|
| Course Description |
|
| Course Name |
: |
Calculus I |
|
| Course Code |
: |
EEE103 |
|
| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Fall (16 Weeks) |
|
| ECTS |
: |
5 |
|
| Name of Lecturer(s) |
: |
|
|
| Learning Outcomes of the Course |
: |
Identifies every function, draw their graphics
Comprehends the limit concept and evaluates limits.
Grasps the geometical and physical meaning of derivative, writes the derivative definition, defines the derivative rules based on this definition, evaluates the derivative of any function.
Defines definite integral, evaluates indefinite integrals using appropriate methods.
|
|
| Mode of Delivery |
: |
Face-to-Face |
|
| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity. |
|
| Course Contents |
: |
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. |
|
| Language of Instruction |
: |
English |
|
| Work Place |
: |
Classroom |
|
|
Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
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 |
Derivative rules, derivatives of trigonometric functions |
|
Lecture |
|
6 |
Chain rule, higher order derivatives, implicit differentiation |
|
Lecture |
|
7 |
Curve sketching, applied optimization problems |
|
Lecture |
|
8 |
Review, midterm exam |
|
İnteractive lecture |
|
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 |
Review |
|
İnteractive lecture |
|
16/17 |
Final exam |
|
Exam |
|
|
|
Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Kalkülüs:Kavram ve Kapsam - J. Stewart
Calculus - G. Thomas
Calculus - G. Strang
Calculus ve Analitik Geometri- S. Stein, A. Barcellos
|
| |
| Required Course Material(s) |
Internet resources
|
|
|
|
Assessment Methods and Assessment Criteria |
|
Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
|
Homeworks/Projects/Others |
0 |
0 |
|
Total |
100 |
|
Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
|
Rate of Final Assessments to Success
|
60 |
|
Total |
100 |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Has capability in those fields of mathematics and physics that form the foundations of engineering. |
5 |
|
2 |
Grasps the main knowledge in the basic topics of electrical and electronic engineering. |
3 |
|
3 |
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering. |
4 |
|
4 |
Identifies problems and analyzes the identified problems based on the gathered professional knowledge. |
0 |
|
5 |
Formulates and solves a given theoretical problem using the knowledge of basic engineering. |
3 |
|
6 |
Has aptitude for computer and information technologies |
0 |
|
7 |
Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English. |
2 |
|
8 |
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices. |
0 |
|
9 |
Has the ability to write a computer code towards a specific purpose using a familiar programming language. |
0 |
|
10 |
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared. |
1 |
|
11 |
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently. |
2 |
|
12 |
Becomes able to communicate with other people with a proper style and uses an appropriate language. |
0 |
|
13 |
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general. |
1 |
|
14 |
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. |
1 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
|
|
| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
13 |
4 |
52 |
|
Out of Class Study (Preliminary Work, Practice) |
13 |
4 |
52 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
0 |
0 |
0 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
|
Final Exam |
1 |
16 |
16 |
|
Total Workload: | 130 |
| Total Workload / 25 (h): | 5.2 |
| ECTS Credit: | 5 |
|
|
|