School/Faculty/Institute | Faculty of Engineering | ||||
Course Code | MATH 226 | ||||
Course Title in English | Numerical Methods for EE | ||||
Course Title in Turkish | Elektrik-Elektronik Mühendisleri için Sayısal Yöntemler | ||||
Language of Instruction | EN | ||||
Type of Course | Flipped Classroom,Other | ||||
Level of Course | Introductory | ||||
Semester | Fall | ||||
Contact Hours per Week |
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Estimated Student Workload | 150 hours per semester | ||||
Number of Credits | 6 ECTS | ||||
Grading Mode | Standard Letter Grade | ||||
Pre-requisites |
MATH 106 - Calculus II | MATH 116 - Calculus II COMP 103 - Computer Programming | COMP 105 - Computer Programming (C) | COMP 109 - Computer Programming (JAVA) MATH 211 - Linear Algebra |
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Expected Prior Knowledge | Prior knowledge in linear algebra, differential and integral calculus and differential equations is expected. | ||||
Co-requisites | None | ||||
Registration Restrictions | Only Undergraduate Students | ||||
Overall Educational Objective | To learn the numerical methods necessary for efficient solution of engineering problems. | ||||
Course Description | This course provides a comprehensive understanding of numerical methods necessary for solving engineering problems. The following topics are covered: Study of errors associated with a numerical solution; Numerical solutions for systems of linear and nonlinear equations, linear least squares method, optimization problems, interpolation, numerical integration and differentiation; Implementation of numerical algorithms using a computer programming language. | ||||
Course Description in Turkish | Bu ders mühendislik problemlerinin çözümüm için gerekli sayısal yöntemlerin tam olarak anlaşılmasını sağlamaktadır. Aşağıdaki konular kapsanacaktır: Sayısal çözümlerden kaynaklanan hataların irdelenmesi; Doğrusal ve doğrusal olmayan denklem sistemleri, doğrusal en küçük kareler yöntemi, eniyileme problemleri, aradeğer bulma, sayısal türev ve integral için sayısal çözümler; Sayısal algoritmaların bir programlama dilinde yazılması. |
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) Know computer arithmetic and identify sources of errors. 2) Comprehend the mathematical concepts underlying several numerical methods; 3) Apply numerical solution algorithms to several classes of problems (e.g., linear and non-linear equations, optimization, interpolation, etc.); 4) Use numerical methods in various types of engineering problems. 5) Implement a range of numerical algorithms efficiently using a computer programming language. |
Program Learning Outcomes/Course Learning Outcomes | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
1) Thorough knowledge of the major concepts, theoretical perspectives, empirical findings, and historical trends in psychology. | |||||
2) Understanding of and ability to apply essential research methods in psychology, including research design, data analysis, and data interpretation. | |||||
3) Competence to use critical and creative thinking, skeptical inquiry and a scientific approach to solving problems related to behavior and mental processes. | |||||
4) Understanding and ability to apply psychological principles, skills and values in personal, social, and organizational contexts. | |||||
5) Ability to weigh evidence, to tolerate ambiguity, and to reflect other values that underpin psychology as a discipline. | |||||
6) Internalization and dissemination of professional ethical standards. | |||||
7) Demonstration of competence in information technologies, and the ability to use computer and other technologies for purposes related to the pursuit of knowledge in psychology and the broader social sciences. | |||||
8) Skills to communicate the knowledge of psychological science effectively, in a variety of formats, in both Turkish and in English (in English, at least CEFR B2 level). | |||||
9) Recognition, understanding, and respect for the complexity of sociocultural and international diversity. | |||||
10) Recognition for the need for, and the skills to pursue, lifelong learning, inquiry, and self-improvement. | |||||
11) Ability to formulate critical hypotheses based on psychological theory and literature, and design studies to test those hypotheses. | |||||
12) Ability to acquire knowledge independently, and to plan one’s own learning. | |||||
13) Demonstration of advanced competence in the clarity and composition of written work and presentations. |
N None | S Supportive | H Highly Related |
Program Outcomes and Competences | Level | Assessed by | |
1) | Thorough knowledge of the major concepts, theoretical perspectives, empirical findings, and historical trends in psychology. | N | |
2) | Understanding of and ability to apply essential research methods in psychology, including research design, data analysis, and data interpretation. | N | |
3) | Competence to use critical and creative thinking, skeptical inquiry and a scientific approach to solving problems related to behavior and mental processes. | H | Exam,HW,Participation |
4) | Understanding and ability to apply psychological principles, skills and values in personal, social, and organizational contexts. | N | |
5) | Ability to weigh evidence, to tolerate ambiguity, and to reflect other values that underpin psychology as a discipline. | N | |
6) | Internalization and dissemination of professional ethical standards. | N | |
7) | Demonstration of competence in information technologies, and the ability to use computer and other technologies for purposes related to the pursuit of knowledge in psychology and the broader social sciences. | N | |
8) | Skills to communicate the knowledge of psychological science effectively, in a variety of formats, in both Turkish and in English (in English, at least CEFR B2 level). | N | |
9) | Recognition, understanding, and respect for the complexity of sociocultural and international diversity. | S | Participation |
10) | Recognition for the need for, and the skills to pursue, lifelong learning, inquiry, and self-improvement. | S | HW,Participation |
11) | Ability to formulate critical hypotheses based on psychological theory and literature, and design studies to test those hypotheses. | N | |
12) | Ability to acquire knowledge independently, and to plan one’s own learning. | S | Exam,HW |
13) | Demonstration of advanced competence in the clarity and composition of written work and presentations. | H | Exam,HW |
Prepared by and Date | EBRU ARISOY SARAÇLAR , December 2018 |
Course Coordinator | EBRU ARISOY SARAÇLAR |
Semester | Fall |
Name of Instructor | Prof. Dr. MUSTAFA ALTUN |
Week | Subject |
1) | Computer Arithmetic |
2) | Computer Arithmetic |
3) | Systems of Linear Equations |
4) | Systems of Linear Equations |
5) | Linear Least Squares |
6) | Linear Least Squares |
7) | Nonlinear Equations |
8) | Nonlinear Equations |
9) | Optimization |
10) | Optimization |
11) | Interpolation |
12) | Interpolation |
13) | Numerical Integration and Differentiation |
14) | Numerical Integration and Differentiation |
15) | Final Exam/Project/Presentation Period |
16) | Final Exam/Project/Presentation Period |
Required/Recommended Readings | Text Book: Scientific Computing: An Introductory Survey, 2nd ed., by Michael T. Heath, McGraw Hill. References: Books on Numerical Analysis Numerical Methods for Engineers by Steven C. Chapra and Raymond P. Canale Books on C Deitel & Deitel, C How to Program, Prentice Hall | |||||||||||||||
Teaching Methods | Lectures/contact hours using “flipped classroom” as an active learning technique | |||||||||||||||
Homework and Projects | Homework questions will be assigned to the students and there will be quizzes containing questions from the homework assignments. There will be also pop quizzes related to lecture content. | |||||||||||||||
Laboratory Work | None | |||||||||||||||
Computer Use | Students will use a programming language (C / C++ / Java) in the computer lab during the recitation section. The projects will also be written in this programming language. | |||||||||||||||
Other Activities | None | |||||||||||||||
Assessment Methods |
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Course Administration |
Instructor’s office and phone number: 5th Floor, (0212) 3953677 office hours: TBA email address: saraclare@mef.edu.tr Rules for attendance: - Missing a quiz: No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, a make-up exam will be given for each missed midterm. Missing a final: Faculty regulations. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations Academic Dishonesty and Plagiarism: YÖK Regulations |
Activity | No/Weeks | Hours | Calculation | ||||
No/Weeks per Semester | Preparing for the Activity | Spent in the Activity Itself | Completing the Activity Requirements | ||||
Course Hours | 14 | 2 | 3 | 70 | |||
Laboratory | 7 | 0 | 1 | 7 | |||
Project | 3 | 5 | 5 | 30 | |||
Quiz(zes) | 5 | 3 | 0.4 | 17 | |||
Midterm(s) | 2 | 13 | 1.5 | 29 | |||
Total Workload | 153 | ||||||
Total Workload/25 | 6.1 | ||||||
ECTS | 6 |