GRADUATE SCHOOL
M.SC. in Computer Engineering (Without Thesis)
MATH 600 | Course Introduction and Application Information
| 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 | Lecture / 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. |
|
|
Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 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 |
EVALUATION SYSTEM
| 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 Exams | ||
| 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 |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
1
|
24
|
24
|
| Portfolio |
0
|
||
| Homework / Assignments |
2
|
20
|
40
|
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
34
|
34
|
| Final Exam |
1
|
37
|
37
|
| Total |
225
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | Accesses information in breadth and depth by conducting scientific research in Computer Engineering, evaluates, interprets and applies information. | X | ||||
| 2 | Is well-informed about contemporary techniques and methods used in Computer Engineering and their limitations. | X | ||||
| 3 | Uses scientific methods to complete and apply information from uncertain, limited or incomplete data, can combine and use information from different disciplines. | X | ||||
| 4 | Is informed about new and upcoming applications in the field and learns them whenever necessary. | X | ||||
| 5 | Defines and formulates problems related to Computer Engineering, develops methods to solve them and uses progressive methods in solutions. | X | ||||
| 6 | Develops novel and/or original methods, designs complex systems or processes and develops progressive/alternative solutions in designs. | X | ||||
| 7 | Designs and implements studies based on theory, experiments and modelling, analyses and resolves the complex problems that arise in this process. | X | ||||
| 8 | Can work effectively in interdisciplinary teams as well as teams of the same discipline, can lead such teams and can develop approaches for resolving complex situations, can work independently and takes responsibility. | X | ||||
| 9 | Engages in written and oral communication at least in Level B2 of the European Language Portfolio Global Scale. | X | ||||
| 10 | Communicates the process and the results of his/her studies in national and international venues systematically, clearly and in written or oral form. | X | ||||
| 11 | Is knowledgeable about the social, environmental, health, security and law implications of Computer Engineering applications, knows their project management and business applications, and is aware of their limitations in Computer Engineering applications. | X | ||||
| 12 | Highly regards scientific and ethical values in data collection, interpretation, communication and in every professional activity. | X | ||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest