| School/Faculty/Institute | Faculty of Engineering | |||||
| Course Code | MATH 116 | |||||
| Course Title in English | Calculus II | |||||
| Course Title in Turkish | Diferansiyel ve İntegral Hesap II | |||||
| 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 105 - Calculus I | MATH 115 - Calculus I |
|||||
| Expected Prior Knowledge | Differentiation and integration of real valued function of a single variable. | |||||
| Co-requisites | None | |||||
| Registration Restrictions | Only Undergraduate Students | |||||
| Overall Educational Objective | To learn the differentiation of multivariable functions and multiple integration. | |||||
| Course Description | Polar coordinates, analytical geometry, infinite sequences and series, Taylor’s series, vectors, multivariable functions, partial derivatives and their applications, the gradient and directional derivative, extrema of functions of two variables, multiple integrals and their applications. | |||||
| Course Description in Turkish | Kutupsal koordinatlar, analitik geometri, sonsuz dizi ve seriler, Taylor serisi, vektörler, çok değişkenli fonksiyonlarda kısmi türev ve uygulamaları, gradyan ve doğrultusal türev, iki değişkenli fonksiyonların ekstremum noktaları, çok katlı integraller ve uygulamaları. |
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) expand a function in a Taylor series about a point; 2) use polar coordinates and classify conic sections; 3) identify and use vector operations; 4) calculate and differentiate multivariable functions; 5) identify local minima, local maxima and saddle points of a function of two variables; 6) evaluate double and triple integrals. |
| 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. |
| 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 , May 2018 |
| Course Coordinator | İLKER ARSLAN |
| Semester | Spring,Fall |
| Name of Instructor | Asst. Prof. Dr. İLKER ARSLAN |
| Week | Subject |
| 1) | Polar coordinates and analytical geometry |
| 2) | Polar coordinates and analytical geometry |
| 3) | Infinite sequences and series |
| 4) | Infinite sequences and series |
| 5) | Vectors |
| 6) | Vector algebra |
| 7) | Geometric applications: Equations of planes and lines in space |
| 8) | Multivariable functions, partial derivatives |
| 9) | Partial derivatives and their applications |
| 10) | Partial derivatives and their applications |
| 11) | The Gradient and Directional Derivative |
| 12) | Extrema of a function of two variables |
| 13) | Multiple integrals and their applications |
| 14) | Multiple integrals and their applications |
| 15) | Final Exam / Project / Presentation Period |
| 16) | Final Exam / Project / Presentation Period |
| Required/Recommended Readings | Thomas' Calculus, 12th Ed., G. Thomas, M. Weir, J. Hass, F. Giordano, Pearson/ Addison Wesley, 2010. | ||||||||||||||||||
| 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 |
Instructor’s office and phone number: 5th Floor, (0212) 3953651 / 3953640 / 3953653 office hours: Tuesday 13:00-14:00 email address: canfuat.delale@mef.edu.tr dorantesd@mef.edu.tr gokce.tonuk@mef.edu.tr Rules for attendance: Classroom practice contributes to 20% of the total grade. Missing a quiz: Provided that proper documents of excuse are presented, for each missed quiz the student will get the grade of the other quiz. No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, for each missed midterm the student will get the same 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 http://www.mef.edu.tr/icerikler/files/lisans_onlisans_yonetmelik%20(1.pdf) |
||||||||||||||||||
| 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 | 4 | 2 | 112 | ||
| Quiz(zes) | 2 | 6 | 1 | 14 | |||
| Midterm(s) | 2 | 12 | 2 | 28 | |||
| Final Examination | 1 | 22 | 2 | 24 | |||
| Total Workload | 178 | ||||||
| Total Workload/25 | 7.1 | ||||||
| ECTS | 7 | ||||||