| 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 |
| Lecture: 4 |
Recitation: None |
Lab: None |
Other: None |
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| Estimated Student Workload |
178 hours per semester |
| Number of Credits |
7 ECTS |
| Grading Mode |
Standard Letter Grade
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| Pre-requisites |
MATH 105 - Calculus I | MATH 115 - Calculus I
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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 Competences
Upon 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.
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| Program Learning Outcomes/Course Learning Outcomes |
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5 |
6 |
| 1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics |
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| 2) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors |
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| 3) An ability to communicate effectively with a range of audiences |
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| 4) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts |
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| 5) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives |
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| 6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions |
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| 7) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies. |
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Relation to Program Outcomes and Competences
| N None |
S Supportive |
H Highly Related |
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Program Outcomes and Competences |
Level |
Assessed by |
| 1) |
An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics |
H |
Exam
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| 2) |
An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors |
N |
|
| 3) |
An ability to communicate effectively with a range of audiences |
N |
|
| 4) |
An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts |
N |
|
| 5) |
An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives |
N |
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| 6) |
An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions |
N |
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| 7) |
An ability to acquire and apply new knowledge as needed, using appropriate learning strategies. |
N |
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| Prepared by and Date |
CANFUAD DELALE , May 2018 |
| Course Coordinator |
İLKER ARSLAN |
| Semester |
Spring,Fall |
| Name of Instructor |
Prof. Dr. CANFUAD DELALE |
Course Contents
| 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 Examination Period |
| 16) |
Final Examination 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 |
| Assessment Tools |
Count |
Weight |
| Application |
28 |
% 20 |
| Quiz(zes) |
2 |
% 10 |
| Midterm(s) |
2 |
% 40 |
| Final Examination |
1 |
% 30 |
| TOTAL |
% 100 |
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| 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)
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Information Package / Course Catalogue