Mechanical Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH114 | ||||||||
Course Name: | Mathematics II | ||||||||
Course Semester: | Spring | ||||||||
Course Credits: |
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Language of instruction: | EN | ||||||||
Course Requisites: |
MATH113 - Mathematics I |
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Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR | ||||||||
Course Lecturer(s): |
Dr.Öğr.Üyesi ASUMAN ÖZER Prof. Dr. VASFİ ELDEM Prof. Dr. SEZGİN SEZER Prof. Dr. HASAN ÖZEKES |
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Course Assistants: |
Course Objectives: | The aim of this course to gain basic knowladge and abilities about techniques of Integration, improper integrals, infinite sequences and series, convergence tests, power series, radius of convergence and interval of convergence, term-by-term differentiation and integration of power series, vectors in 3-space, dot product and cross product of vectors, equations of lines and planes in space, quadratic surfaces, functions of several variables and their limits, continuity and partial derivatives, chain rule, directional derivatives, tangent planes and normal lines, local and absolute extrema, Lagrange multipliers, double and triple integrals, polar coordinates, change of variables, cylindrical and spherical coordinates to the students. |
Course Content: | This course will investigate techniques of Integration, improper integrals, infinite sequences and series, convergence tests, power series, radius of convergence and interval of convergence, term-by-term differentiation and integration of power series, vectors in 3-space, dot product and cross product of vectors, equations of lines and planes in space, quadratic surfaces, functions of several variables and their limits, continuity and partial derivatives, chain rule, directional derivatives, tangent planes and normal lines, local and absolute extrema, Lagrange multipliers, double and triple integrals, polar coordinates, change of variables, cylindrical and spherical coordinates. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Techniques of Integration | Lecture Notes |
2) | Techniques of Integration | Lecture Notes |
3) | Infinite Sequences and Series | Lecture Notes |
4) | Infinite Sequences and Series | Lecture Notes |
5) | Infinite Sequences and Series | Lecture Notes |
6) | Vectors and Geometry of Space | Lecture Notes |
7) | Vectors and Geometry of Space | Lecture Notes |
8) | Partial Derivatives | Lecture Notes |
9) | ||
10) | Partial Derivatives | Lecture Notes |
11) | Multiple Integrals | Lecture Notes |
12) | Multiple Integrals | Lecture Notes |
13) | Multiple Integrals | Lecture Notes |
14) | Review | Lecture Notes |
Course Notes / Textbooks: | Thomas’ Calculus, 13th Edition George B. Thomas, Maurice D. Weir, Joel R. Hass Pearson Education Inc. |
References: | A Complete Course Calculus, 8th Edition. Robert A. Adams, Christopher Essex Pearson Canada Inc. ISBN 978: 0321781079 |
Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
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Program Outcomes | ||||||||||||
1) Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems. | ||||||||||||
2) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose. | ||||||||||||
3) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.) | ||||||||||||
4) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively. | ||||||||||||
5) Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics. | ||||||||||||
6) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | ||||||||||||
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | ||||||||||||
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal. | ||||||||||||
9) Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications. | ||||||||||||
10) Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development. | ||||||||||||
11) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | ||||||||||||
12) In order to gain depth at least one, physics knowledge based on chemistry knowledge and mathematics; advanced mathematical knowledge, including multivariable mathematical and differential equations; familiarity with statistics and linear algebra. | ||||||||||||
13) The ability to work in both thermal and mechanical systems, including the design and implementation of such systems. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems. | 4 |
2) | The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose. | |
3) | The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.) | |
4) | Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively. | |
5) | Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics. | |
6) | The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | |
7) | Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
8) | Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal. | |
9) | Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications. | |
10) | Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development. | |
11) | The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | |
12) | In order to gain depth at least one, physics knowledge based on chemistry knowledge and mathematics; advanced mathematical knowledge, including multivariable mathematical and differential equations; familiarity with statistics and linear algebra. | |
13) | The ability to work in both thermal and mechanical systems, including the design and implementation of such systems. |
Individual study and homework | |
Reading | |
Homework | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Homework |
Semester Requirements | Number of Activities | Level of Contribution |
Homework Assignments | 5 | % 20 |
Midterms | 2 | % 40 |
Final | 1 | % 40 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 5 | 75 |
Study Hours Out of Class | 15 | 2 | 30 |
Homework Assignments | 5 | 5 | 25 |
Midterms | 2 | 10 | 20 |
Final | 1 | 15 | 15 |
Total Workload | 165 |