|
|
| KMAK1004 | Occupational Mathematics | 4+0+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | Short Cycle | | Status | Compulsory | | Department | DEPARTMENT of MECHANICAL and METAL TECHNOLOGIES | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Öğr. Gör. Fuat YETİM | | Co-Lecturer | Lect. Şenol DEMİR | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To student in this course, exponential functions and logarithms, limits and continuity, derivative and integral gain related to the competencies to apply mathematical skills in their profession.
|
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Make applications which related System of equatin in profession.
| 1 | 1, | | LO - 2 : | Make applications which related Exponential Functions and Logarithms in profession.
| 1 | 1, | | LO - 3 : | Make applications which related derivative in their profession.
| 1 | 1, | | LO - 4 : | Make applications which related Integral in their profession. | 1 | 1, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Definition of Equation and Inequalities, Definition of Functions, Definition of Matrix and Determinant , Characteristics and operations of exponential functions, Definition of logarithm function and the methods of logarithm, the use of logarithms in the function in professional,The definition of Limit and Continuity, The definition of derivatives and methods of derivative, use of derivative in professional fields, the definition of integral and methods of integral, the integral implementation of functions.
|
| |
| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Definition of Equation and Inequalities | | | Week 2 | Definition of Equation and Inequalities
| | | Week 3 | Definition of Functions | | | Week 4 | Definition of Functions | | | Week 5 | Definition of Matrix and Determinant,Matrix addition, subtraction and multiplication operations,Transpose, the additional matrix and rank
Reduction (Echelon) method
Minor and cofactor
| | | Week 6 | Exponential functions
Definition of exponential functions
y = ax and y = ex-shaped exponential functions and exponential functions' features and graphics
A set of solutions of exponential equations | | | Week 7 | Definition of Limit and Continuity | | | Week 8 | Definition of Limit and Continuity | | | Week 9 | MID-TERM EXAM | | | Week 10 | Derivative
Definition of Derivatives
Physical and geometric meaning of derivative, derivative | | | Week 11 | Derivative
Definition of Derivatives
Physical and geometric meaning of derivative, derivative | | | Week 12 | Function charts
Definiton of function graphics
The function' increasing and decreasing intervals
Critical of function (minimum, maximum, and twist) points
Graph of the function
Function of the slope of the line tangent to the curve at any point and its equation
Measure the angle between the tangents at the intersection points of two curves
| | | Week 13 | Function charts
Definiton of function graphics
The function' increasing and decreasing intervals
Critical of function (minimum, maximum, and twist) points
Graph of the function
Function of the slope of the line tangent to the curve at any point and its equation
Measure the angle between the tangents at the intersection points of two curves
| | | Week 14 | Integral
Definite of integral
y = f (x) function's differential dy = f '(x) dx
The general rule and its properties for indefinite integral calculus
Changing the method of integral variable
Partial integration method
Rational integrals, a separation method to simple fractions
Integral (Riemann sum)
The general rule of definite integrals and their properties
| | | Week 15 | Integral's area, volume and center of gravity calculations
The definition of area, volume and center of gravity calculations
Calculation of areas of planar regions by using Integral
Calculation of surface areas of rotating items
Volumes of rotating items
Coordinates of the center of gravity of plane regions
| | | Week 16 | FINAL EXAM | | | |
| 1 | Ders notları | | | 2 | Atasoy, V. 2009; Genel Matematik, Murathan Yayınevi, No:1, Trabzon | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 15.04.2024 | 1,00 | 50 | | End-of-term exam | 16 | 6.06.2024 | 01,00 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 3 | 14 | 42 | | Arasınav için hazırlık | 1 | 9 | 9 | | Arasınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 1 | 11 | 11 | | Dönem sonu sınavı | 1 | 1 | 1 | | Total work load | | | 120 |
|