Course Name | Mathematics Softwares and Research Methods |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
---|---|---|---|---|---|
MATH 600 | Fall/Spring | 3 | 0 | 3 | 7.5 |
Prerequisites | None | |||||
Course Language | English | |||||
Course Type | Elective | |||||
Course Level | Third Cycle | |||||
Mode of Delivery | - | |||||
Teaching Methods and Techniques of the Course | Lecturing / Presentation | |||||
Course Coordinator | - | |||||
Course Lecturer(s) | ||||||
Assistant(s) |
Course Objectives | To introduce important mathematical softwares, to illustrate usage of scientific databases, and to show writing scientific papers. |
Learning Outcomes | The students who succeeded in this course;
|
Course Description | The course will focus on the concepts and principles underlying MAGMA computational algebra system and LaTeX, especially the notion of functional programming and pattern matching. This core knowledge will enable attendees to apply researching program system more effectively, and write their papers/course materials with LaTeX. Graduate students will also learn how to use digital databases for research, techniques of mathematical paper writing. |
Related Sustainable Development Goals | |
| Core Courses | X |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | An introduction to LaTeX. | George Grätzer, “More Math Into LaTeX”, 5th Edition (Springer, 2016), 3-39. |
2 | Equations, Picture and table Environments. | George Grätzer, “More Math Into LaTeX”, 5th Edition (Springer, 2016), 43-160, 191-224. |
3 | Presentations using the beamer package, bibliographic records and citation processing. | George Grätzer, “More Math Into LaTeX”, 5th Edition (Springer, 2016), 234-251, 307-342 |
4 | An introduction to Mathematica | Eugene Don, “Schaum's Outline of Mathematica”, 3rd edn (McGraw-Hill, 2018), chapter 1. |
5 | Basic Consepts, Lists | Eugene Don, “Schaum's Outline of Mathematica”, 3rd edn (McGraw-Hill, 2018), chapter 2, chapter 3. |
6 | Two-Dimensional Graphics, Three-Dimensional Graphics | Eugene Don, “Schaum's Outline of Mathematica”, 3rd edn (McGraw-Hill, 2018), chapter 4, chapter 5. |
7 | Equations | Eugene Don, “Schaum's Outline of Mathematica”, 3rd edn (McGraw-Hill, 2018), chapter 6. |
8 | Midterm | |
9 | Algebra and Trigonometry, Differential Calculus | Eugene Don, “Schaum's Outline of Mathematica”, 3rd edn (McGraw-Hill, 2018), chapter 7, chapter 8. |
10 | Integral Calculus, Multivariate Calculus | Eugene Don, “Schaum's Outline of Mathematica”, 3rd edn (McGraw-Hill, 2018), chapter 9, chapter 10. |
11 | Ordinary Differential Equations, Linear Algebra | Eugene Don, “Schaum's Outline of Mathematica”, 3rd edn (McGraw-Hill, 2018), chapter 11, chapter 12. |
12 | Simulation Techniques- Monte Carlo Method | Dirk P. Kroese, Thomas Taimre, Zdravko I. Botev, “Handbook of Monte Carlo Methods”, (Wiley, 2011), chapter 1, chapter 2 |
13 | Simulation Techniques- Monte Carlo Method | Dirk P. Kroese, Thomas Taimre, Zdravko I. Botev, “Handbook of Monte Carlo Methods”, (Wiley, 2011), chapter 3, chapter 4 |
14 | Simulation Techniques- Monte Carlo Method | Dirk P. Kroese, Thomas Taimre, Zdravko I. Botev, “Handbook of Monte Carlo Methods”, (Wiley, 2011), chapter 16, chapter 17 |
15 | Semester Review | |
16 | Final Exam |
Course Notes/Textbooks | George Grätzer, More Math Into LaTeX, 5th edn (Springer, 2016). ISBN-13: 978-3319237954 Eugene Don, Schaum's Outline of Mathematica, 3rd edn (McGraw-Hill, 2018). ISBN-13: 9781260120738 Dirk P. Kroese, Thomas Taimre, Zdravko I. Botev, “Handbook of Monte Carlo Methods”, (Wiley, 2011). ISBN:9780470177938 |
Suggested Readings/Materials | T. Oetiker Latex in 157 minutes: The (Not So) Short Introduction to Latex, (Samurai Media Limited, 2015). ISBN-13: 978-9881443625 |
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | 1 | 20 |
Portfolio | ||
Homework / Assignments | 1 | 10 |
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 30 |
Final Exam | 1 | 40 |
Total |
Weighting of Semester Activities on the Final Grade | 3 | 60 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 40 |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 3 | 48 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | ||
Study Hours Out of Class | 14 | 3 | 42 |
Field Work | |||
Quizzes / Studio Critiques | 1 | 24 | |
Portfolio | |||
Homework / Assignments | 2 | 20 | |
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 34 | |
Final Exams | 1 | 37 | |
Total | 225 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | To develop and deepen his/her knowledge on theories of mathematics and statistics and their applications in level of expertise, and to obtain unique definitions which bring innovations to the area, based on master level competencies, | X | ||||
2 | To have the ability of original, independent and critical thinking in Mathematics and Statistics and to be able to develop theoretical concepts, | X | ||||
3 | To have the ability of defining and verifying problems in Mathematics and Statistics, | X | ||||
4 | With an interdisciplinary approach, to be able to apply theoretical and applied methods of mathematics and statistics in analyzing and solving new problems and to be able to discover his/her own potentials with respect to the application, | X | ||||
5 | In nearly every fields that mathematics and statistics are used, to be able to execute, conclude and report a research, which requires expertise, independently, | X | ||||
6 | To be able to evaluate and renew his/her abilities and knowledge acquired in the field of Applied Mathematics and Statistics with critical approach, and to be able to analyze, synthesize and evaluate complex thoughts in a critical way, | X | ||||
7 | To be able to convey his/her analyses and methods in the field of Applied Mathematics and Statistics to the experts in a scientific way, | X | ||||
8 | To be able to use national and international academic resources (English) efficiently, to update his/her knowledge, to communicate with his/her native and foreign colleagues easily, to follow the literature periodically, to contribute scientific meetings held in his/her own field and other fields systematically as written, oral and visual. | X | ||||
9 | To be familiar with computer software commonly used in the fields of Applied Mathematics and Statistics and to be able to use at least two of them efficiently, | X | ||||
10 | To contribute the transformation process of his/her own society into an information society and the sustainability of this process by introducing scientific, technological, social and cultural advances in the fields of Applied Mathematics and Statistics, | X | ||||
11 | As having rich cultural background and social sensitivity with a global perspective, to be able to evaluate all processes efficiently, to be able to contribute the solutions of social, scientific, cultural and ethical problems and to support the development of these values, | X | ||||
12 | As being competent in abstract thinking, to be able to connect abstract events to concrete events and to transfer solutions, to analyze results with scientific methods by designing experiment and collecting data and to interpret them, | X | ||||
13 | To be able to produce strategies, policies and plans about systems and topics in which mathematics and statistics are used and to be able to interpret and develop results, | X | ||||
14 | To be able to evaluate, argue and analyze prominent persons, events and phenomena, which play an important role in the development and combination of the fields of Mathematics and Statistics, within the perspective of the development of other fields of science, | X | ||||
15 | In Applied Mathematics and Statistics, to be able to sustain scientific work as an individual or a group, to be effective in all phases of an independent work, to participate decision-making process and to make and execute necessary planning within an effective time schedule. | X |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest