Information Package / Course Catalogue
| Psychology | |||||
| Bachelor | Length of the Programme: 4 | Number of Credits: 240 | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF: Level 6 |
Ders Genel Tanıtım Bilgileri
| School/Faculty/Institute | Faculty of Engineering | |||||
| Course Code | MATH 213 | |||||
| Course Title in English | Differential Equations | |||||
| Course Title in Turkish | Diferansiyel Denklemler | |||||
| Language of Instruction | EN | |||||
| Type of Course | Exercise,Flipped Classroom,Lecture | |||||
| Level of Course | Introductory | |||||
| Semester | Spring,Fall | |||||
| Contact Hours per Week |
|
|||||
| Estimated Student Workload | 178 hours per semester | |||||
| Number of Credits | 7 ECTS | |||||
| Grading Mode | Standard Letter Grade | |||||
| Pre-requisites |
MATH 106 - Calculus II | MATH 116 - Calculus II |
|||||
| Expected Prior Knowledge | Prior knowledge of differentiation and integration of single and multivariable functions is required. | |||||
| Co-requisites | None | |||||
| Registration Restrictions | Only Undergraduate Students | |||||
| Overall Educational Objective | To learn the methods of solution of ordinary differential equations. | |||||
| Course Description | This course introduces ordinary differential equations, discusses their methods of solutions and introduces vector-valued functions Topics include: First order differential equations, second order linear differential equations, higher order linear differential equations, series solutions of linear differential equations, initial value problems, Laplace transforms and systems of first order linear differential equations. Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications. | |||||
| Course Description in Turkish | Bu ders diferansiyel denklemleri, onların çözüm yöntemlerini ve vektör-değerlikli fonksiyonları kapsar. Kapsanan konular: Birinci mertebeden diferansiyel denklemler, ikinci mertebeden diferansiyel denklemler, yüksek mertebeden diferansiyel denklemler, diferansiyel denklemlerin seri çözümü, başlangıç değer problemleri, Laplace dönüşümü ve birinci mertebeden diferansiyel denklem sistemleri. Vektör-değerlikli fonksiyonlar, diverjans, rotasyonel işlemleri ve geometric uygulamaları. |
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) apply the methods of solution of first order differential equations; 2) solve first, second and higher order linear differential equations; 3) find the series solution of linear differential equations; 4) solve the initial value problem of linear equations by Laplace transform; 5) solve systems of linear differential equations; 6) utilize vector-valued functions, evaluate their divergence and curl, and use their properties for geometric applications. |
| Program Learning Outcomes/Course Learning Outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| 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. |
Relation to Program Outcomes and Competences
| 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 | CANFUAD DELALE , December 2018 |
| Course Coordinator | CANFUAD DELALE |
| Semester | Spring,Fall |
| Name of Instructor | Prof. Dr. AYŞE SOYSAL |
Course Contents
| Week | Subject |
| 1) | First order differential equations |
| 2) | First order differential equations |
| 3) | Second order linear differential equations |
| 4) | Second order linear differential equations |
| 5) | Higher order linear differential equations |
| 6) | Series solutions of linear differential equations |
| 7) | Series solutions of linear differential equations |
| 8) | Initial value problems and Laplace transform |
| 9) | Initial value problems and Laplace transform |
| 10) | Initial value problems and Laplace transform |
| 11) | System of linear differential equations |
| 12) | System of linear differential equations |
| 13) | Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications |
| 14) | Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications |
| 15) | Final Examination Period |
| 16) | Final Examination Period |
| Required/Recommended Readings | W.E. Boyce and R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems, Tenth Ed., Wiley, 2013. | |||||||||||||||
| Teaching Methods | Lectures/contact hours using “flipped classroom” as an active learning technique | |||||||||||||||
| Homework and Projects | none | |||||||||||||||
| Laboratory Work | none | |||||||||||||||
| Computer Use | none | |||||||||||||||
| Other Activities | none | |||||||||||||||
| Assessment Methods |
|
|||||||||||||||
| Course Administration |
canfuat.delale@mef.edu.tr (0212) 3953651 Instructor’s office and phone number: 5th Floor, (0212) 3953651 office hours: Wednesday 13:00-15:00 email address: canfuat.delale@mef.edu.tr Rules for attendance: Classroom practice contributes to 20% of the final grade. Missing a quiz: Provided that proper documents of excuse are presented, each missed quiz by the student will be given a grade by taking the average of all of the other quizzes. No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, each missed midterm by the student will be given the grade of the final exam. No make-up will be given. Missing a final: Faculty regulations. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations Statement on plagiarism: YÖK Regulations |
|||||||||||||||
ECTS Student Workload Estimation
| Activity | No/Weeks | Calculation | |||
| No/Weeks per Semester | |||||
| Course Hours | 28 | 224 | |||
| Quiz(zes) | 4 | 28 | |||
| Midterm(s) | 4 | 56 | |||
| Final Examination | 2 | 48 | |||
| Total Workload | 356 | ||||
| Total Workload/25 | 14.2 | ||||
| ECTS | 7 | ||||