FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 313 | Course Introduction and Application Information
| Course Name |
Programming Techniques in Applied Mathematics
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 313
|
Fall
|
3
|
0
|
3
|
6
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Required
|
|||||
| Course Level |
First Cycle
|
|||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | Lecture / Presentation | |||||
| Course Coordinator | - | |||||
| Course Lecturer(s) | ||||||
| Assistant(s) | ||||||
| Course Objectives | The aim of this course is to enable students to acquire basic programming techniques for mathematical problems arising in applied sciences, using core softwares Mathematica and Matlab. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Basic algorithms; Fundamental commands on Matlab and Mathematica; Mathematical functions on these softwares; Numerical solutions; Numerical computations; Interpretation of graphics of the function; Programming methods; Polynomial Interpolation; Numerical Integration; Finding the roots of equation via numerical methods. |
|
|
Core Courses |
X
|
| 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
|
15
|
15
|
| Portfolio |
0
|
||
| Homework / Assignments |
2
|
8
|
16
|
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
28
|
28
|
| Final Exam |
1
|
31
|
31
|
| Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics. |
X | ||||
| 2 | To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics. |
|||||
| 3 | To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials. |
X | ||||
| 4 | To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning. |
|||||
| 5 | To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals. |
|||||
| 6 | To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project. |
X | ||||
| 7 | To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge. |
X | ||||
| 8 | To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field. |
|||||
| 9 | To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security. |
|||||
| 10 | To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking. |
|||||
| 11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
|||||
| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
|||||
| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
|||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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