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Year/Semester of Study | 1 / Fall Semester | ||||
Level of Course | 1st Cycle Degree Programme | ||||
Type of Course | Compulsory | ||||
Department | PHYSICS | ||||
Pre-requisities and Co-requisites | None | ||||
Mode of Delivery | Face to Face | ||||
Teaching Period | 14 Weeks | ||||
Name of Lecturer | ZARİFE ZARARSIZ (zarifezararsiz@nevsehir.edu.tr) | ||||
Name of Lecturer(s) | |||||
Language of Instruction | Turkish | ||||
Work Placement(s) | None | ||||
Objectives of the Course | |||||
To give fundamental conceptions of mathematical analysis and limit,continuity, derivative and applications of derivative in single-valued functions. |
Learning Outcomes | PO | MME | |
The students who succeeded in this course: | |||
LO-1 |
PO-1 To demonstrate their knowledge of the basic scientific principles and fundamental concepts and skills of the field.
PO-2 To solve problems utilizing scientific reasoning quantitative methods, and acquired knowledge and skills. PO-3 Communicate scientific ideas clearly and effectively. PO-4 To Make measurements using laboratory equipment and perform calculations that verify physical principles explain how physical principles apply in given situations. PO-5 To connect physical principals and laws to problems. PO-6 To demonstrate the ability to think critically and to use appropriate concepts to analyze qualitatively problems or situations involving physics. PO-7 In courses involving laboratory , the student will demonstrate the ability to collect and analyze data using suitable computer programs and to prepare coherent reports of his or her findings. PO-8 To follow developments in the field using a foreign language and to communicate with colleagues. |
Examination |
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PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents | ||
Fundamental conceptions of mathematical analysis, set and number conceptions,functions and special functions,sequence of real numbers,convergence,upper nad lower limits,properties of continuous functions,derivative, higher order derivative,geometric and physical meaning of the derivative, theorems related with derivative,indefinite limits, drawing curves. | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | Sets (operations of set, open sets,closed sets,limit points,etc.,) | Explanation, solve problems and answer questions |
2 | Sets of numbers ( Natural numbers,Integers,Rational numbers,Real numbers and their properties.) | Explanation, solve problems and answer questions |
3 | Conceptions of Supremum, infimum, limsup,liminf, induction, conceptions of functions. | Explanation, solve problems and answer questions |
4 | Some special functions and their properties | Explanation, solve problems and answer questions |
5 | Sequence of real numbers,boundedness, convergence,Reel sayı dizileri, sınırlılık, yakınsaklık,Bolzano-Weierstrass theorem,monotonic sequences | Explanation, solve problems and answer questions |
6 | Limit and continuity of Functions | Explanation, solve problems and answer questions |
7 | Properties of continuous (theorems of continuity), uniform continuity | Explanation, solve problems and answer questions |
8 | mid-term exam | |
9 | Derivative, Rules of derivative, Methods of derivative | Explanation, solve problems and answer questions |
10 | The geometric and physical meaning of the derivative.Theorems related with the derivative | Explanation, solve problems and answer questions |
11 | Theorems related with the derivative | Explanation, solve problems and answer questions |
12 | To compute the indefinite limits | Explanation, solve problems and answer questions |
13 | Differentials and draw the curves (Cartesian coordinates) | Explanation, solve problems and answer questions |
14 | To draw the curves ( Polar Coordinates) | Explanation, solve problems and answer questions |
15 | To draw the curves ( Polar Coordinates) | Explanation, solve problems and answer questions |
16 | final exam | |
Recommend Course Book / Supplementary Book/Reading | ||
1 | Genel Matematik, M. Balcı, 4. Basım, 2006 | |
2 | Genel Matematik I- II Prof. H.Arıkan, Yrd.Doç.Dr. İ.Özgür, Yrd.Doç.Dr. Ö.F. Gözükızıl | |
Required Course instruments and materials | ||
The books of Lecture |
Assessment Methods | |||
Type of Assessment | Week | Hours | Weight(%) |
mid-term exam | 8 | 2 | 40 |
Other assessment methods | |||
1.Oral Examination | |||
2.Quiz | |||
3.Laboratory exam | |||
4.Presentation | |||
5.Report | |||
6.Workshop | |||
7.Performance Project | |||
8.Term Paper | |||
9.Project | |||
final exam | 16 | 2 | 60 |
Student Work Load | |||
Type of Work | Weekly Hours | Number of Weeks | Work Load |
Weekly Course Hours (Theoretical+Practice) | 4 | 2 | 8 |
Outside Class | |||
a) Reading | 0 | ||
b) Search in internet/Library | 0 | ||
c) Performance Project | 0 | ||
d) Prepare a workshop/Presentation/Report | 0 | ||
e) Term paper/Project | 0 | ||
Oral Examination | 0 | ||
Quiz | 0 | ||
Laboratory exam | 0 | ||
Own study for mid-term exam | 2 | 20 | 40 |
mid-term exam | 2 | 20 | 40 |
Own study for final exam | 2 | 20 | 40 |
final exam | 2 | 10 | 20 |
0 | |||
0 | |||
Total work load; | 148 |