Mathematics Applications
Elementary Mathematics Education
Faculty of Education
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mathematics Applications | IMO308 | Elective | Bachelor's degree | 3 | Spring | 3 |
Name of Lecturer(s)
Associate Prof. Dr. Ali Fuat YENİÇERİOĞLU
Assistant Prof. Dr. Cüneyt YAZICI
Learning Outcomes of the Course Unit
1) Solves the problems related to the basic concepts of limit in functions of one variable.
2) Solves problems related to the concepts of continuity and discontinuity in functions of one variable.
3) Solve problems related to derivative on single variable functions.
4) Solve limit calculus problems with the help of L'Hospital Rule in functions of one variable.
5) Clarify indefinite integral and integral methods and on single variable functions.
6) Apply to calculations area, arc length and volume definite integral on single variable functions.
7) Solves problems related to functions of multivariables, their properties, and other basic mathematical concepts.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | High | Middle | High | High | Middle | Middle | High | Middle | Middle | High | High | Middle | Middle | |
| 2 | High | Middle | Middle | High | Middle | High | Middle | Middle | High | Middle | Middle | High | High | |
| 3 | Middle | High | High | Middle | Middle | High | High | No relation | Middle | Middle | Middle | High | High | |
| 4 | High | Middle | High | Middle | Middle | Middle | High | Middle | High | Middle | Middle | High | High | |
| 5 | High | High | Middle | High | Middle | High | Middle | Middle | Middle | High | High | High | High | |
| 6 | Middle | High | High | Middle | Middle | High | Middle | High | Middle | Middle | Middle | High | High | |
| 7 | Middle | High | Middle | Middle | High | Middle | High | Low | High | High | High | Middle | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
There are no recommended courses.
Course Contents
Propositional logic, sets, numbers, function concept, function types, increasing and decreasing functions, closed-defined functions, one-to-one function and inverse of a function, limit concept, derivative concept, tangent and normal equations, L'Hospital rule, local and problems related to absolute extreme points, curve plots, multivariable functions and their properties, and other basic mathematical topics.
Weekly Schedule
1) Concept of limit on single variable functions2) Applications of limit on single variable functions
3) Continuity – discontinuity and their applicaitons on single variable functions
4) Derivative and derivative methods on single variable functions
5) Derivative of trigonometric, logarithmic, exponentional, hyperbolic functions and their inverses and derivative of closed functions
6) Extramum and absolute extramum points of functions, extramum problems and practice on different fields
7) Graph drawings by the help of derivative
8) Midterm examination/Assessment
9) L’Hospital Rule and limit practices by the help of this rule. Differential and linear rise
10) Indefinite integrals and integral methods: change of variable
11) Integration by parts, integral of trigonometric, irrational, Binomial integrals
12) Problems with calculating area and curve length with definite integral.
13) Problems related to volume calculations with definite integrals and their applications to various fields.
14) Solve complex problems with multivariable functions and other basic concepts.
15) Solve complex problems with multivariable functions and other basic concepts
16) Final examination
Recommended or Required Reading
1- Ders notu / Lecture note
2- Dönmez, A., Çözümlü, Alıştırmalı Matematik Analiz-I, Beta Basım Yayım Dağıtım, (2001).
3- Spivak M., Calculus (translated in 1997), mathematics association.
4- Dennis D. Berkey ,Calculus, second edition, Boston University, 1998.
5- Balcı M. (1997). Matematik Analiz-1 , Sürat Yayınları 2012.
6- Balcı M. (1997). Çözümlü Matematik Analiz Problemleri 1, Ankara. Balcı Yayınları
7- kaynak kitaplar
8- resource books
9- ...
10- ..
11- arasınav ve final
12- mid-tern and final exam
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Group Study
6) Brain Storming
7) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required