Civil 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: | |||||||||
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) Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems. | ||||||||||
2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | ||||||||||
3) Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.) | ||||||||||
4) Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | ||||||||||
5) Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | ||||||||||
6) Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||||||
7) Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | ||||||||||
8) Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | ||||||||||
9) Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices. | ||||||||||
10) Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | ||||||||||
11) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems. | 5 |
2) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | |
3) | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.) | |
4) | Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | |
5) | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | |
6) | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
7) | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | |
8) | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | |
9) | Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices. | |
10) | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | |
11) | Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. |
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 |