| Code: MAT-102 |
Course Title: MATHEMATICS II |
Theoretical+Practice: 3+0 |
ECTS: 4 |
|
| Year/Semester of Study |
1 / Spring Semester |
| Level of Course |
1st Cycle Degree Programme |
| Type of Course |
Compulsory |
| Department |
FOOD ENGINEERING |
| Pre-requisities and Co-requisites |
None |
| Mode of Delivery |
Face to Face |
| Teaching Period |
14 Weeks |
| Name of Lecturer |
AHMET KAYA (akaya@nevsehir.edu.tr) |
| Name of Lecturer(s) |
|
| Language of Instruction |
Turkish |
| Work Placement(s) |
None |
| Objectives of the Course |
| To teach indefinite integral, methods of indefinite integral,Properties of the integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties, functions of several variables.
|
| Learning Outcomes |
PO |
MME |
| The students who succeeded in this course: |
|
|
| LO-1 |
Recognize the concept of indefinite integrals |
PO-1 Has the required minimum knowledge on the basic engineering issues related to Food Engineering.
PO-2 Identifies, defines and solves the problems related to his/her subject area.
|
Examination
|
| LO-2 |
Integral to apply the methods of |
PO-1 Has the required minimum knowledge on the basic engineering issues related to Food Engineering.
PO-2 Identifies, defines and solves the problems related to his/her subject area.
|
Examination
|
| LO-3 |
Interpret the properties of generalized integrals |
PO-1 Has the required minimum knowledge on the basic engineering issues related to Food Engineering.
|
Examination
|
| LO-4 |
Limits and continuity of functions of several variables that can solve the problems of |
PO-1 Has the required minimum knowledge on the basic engineering issues related to Food Engineering.
|
Examination
|
PO: Programme Outcomes
MME:Method of measurement & Evaluation |
| Course Contents |
| Indefinite integral and methods for calculating integrals, Properties of definite intagral and related theorems, applications of definite integral (calculating Area, arc length, volume, surface area), Generalized integrals and their properties, multi-variable functions.
|
| Weekly Course Content |
| Week |
Subject |
Learning Activities and Teaching Methods |
| 1 |
Indefinite integrals, methods of integrals, changing variables,partial integration. |
problem solving |
| 2 |
Seperation of the simple fractions, integral of trigonometric functions |
problem solving |
| 3 |
Integral of Irrational algebric functions, Binom integrals |
problem solving |
| 4 |
Integrals of the radical expressions, Definition of definite integral |
problem solving |
| 5 |
The problems of causing definite integral, Properties of definite integral |
problem solving |
| 6 |
The method of changing variable, partial integral |
problem solving |
| 7 |
Generalized integrals, nonspecific integrals, random examples |
problem solving |
| 8 |
mid-term exam |
|
| 9 |
The convergence criterias of generalized integrals |
problem solving |
| 10 |
Calculation of area, calculation of length of arc |
problem solving |
| 11 |
Calculation of area, calculation of length of arc |
problem solving |
| 12 |
Calculation of volume |
problem solving |
| 13 |
Computation of surface area |
problem solving |
| 14 |
The domains of functions of several variables |
problem solving |
| 15 |
Limits and continuity of functions of several variables |
problem solving |
| 16 |
final exam |
|
| Recommend Course Book / Supplementary Book/Reading |
| 1 |
Balcı, Mustafa; Matematik Analiz II, Ank Üni. Fen Fak. Yayınları, No 142, Ankara. |
| 2 |
Binali Musayev, Murat Alp, Nizami Mustafayev; Teori ve çözümlü Problemlerle Analiz I-II, Tek Ağaç Eylül Yay. 2003, Ankara. |
| Required Course instruments and materials |
|
