| School/Faculty/Institute | Faculty of Education | |||||
| Course Code | MATH 134 | |||||
| Course Title in English | Advanced Calculus | |||||
| Course Title in Turkish | Advanced Calculus | |||||
| Language of Instruction | EN | |||||
| Type of Course | Flipped Classroom | |||||
| Level of Course | Select | |||||
| Semester | Spring | |||||
| Contact Hours per Week |
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| Estimated Student Workload | 172 hours per semester | |||||
| Number of Credits | 7 ECTS | |||||
| Grading Mode | Standard Letter Grade | |||||
| Pre-requisites |
MATH 133 - Calculus |
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| 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 , |
| Course Coordinator | BENGİ BİRGİLİ |
| Semester | Spring |
| Name of Instructor | Asst. Prof. Dr. İLKER ARSLAN |
| Week | Subject |
| 1) | Infinite sequences and series |
| 2) | Infinite sequences and series |
| 3) | Infinite sequences and series |
| 4) | Polar coordinates and analytical geometry |
| 5) | Polar coordinates and analytical geometry |
| 6) | Vectors, 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 Examination/Project/Presentation Period |
| 15) | Final Examination/Project/Presentation Period |
| 16) | Final Examination/Project/Presentation Period |
| Required/Recommended Readings | Thomas' Calculus, 13th 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 | - | ||||||||||||||||||||||||
| Laboratory Work | - | ||||||||||||||||||||||||
| Computer Use | - | ||||||||||||||||||||||||
| Other Activities | - | ||||||||||||||||||||||||
| Assessment Methods |
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| Course Administration |
cafuat.delale@mef.edu.tr |
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| 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) | 1 | 12 | 2 | 14 | |||
| Final Examination | 1 | 30 | 2 | 32 | |||
| Total Workload | 172 | ||||||
| Total Workload/25 | 6.9 | ||||||
| ECTS | 7 | ||||||