Geomatic Engineering | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MAT114 | ||||||||
Course Name: | Calculus II | ||||||||
Course Semester: | Fall | ||||||||
Course Credits: |
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Language of instruction: | |||||||||
Course Requisites: |
MAT113 - Matematik 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 |
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Course Assistants: |
Course Objectives: | 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. |
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) Awareness of professional and ethical responsibility. | ||||||||||
2) 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. | ||||||||||
3) Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language. | ||||||||||
4) Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | ||||||||||
5) 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 isuues, and social and political issues according to the nature of the design.) | ||||||||||
6) Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||||||
7) Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively. | ||||||||||
8) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | ||||||||||
9) 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. | ||||||||||
10) 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. | ||||||||||
11) Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Awareness of professional and ethical responsibility. | |
2) | 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. | 4 |
3) | Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language. | 3 |
4) | Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | |
5) | 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 isuues, and social and political issues according to the nature of the design.) | |
6) | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
7) | Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively. | |
8) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | |
9) | 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. | |
10) | 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. | |
11) | Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems. |
Lesson | |
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 |
Midterms | 2 | % 50 |
Final | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 5 | 75 |
Study Hours Out of Class | 15 | 4 | 60 |
Midterms | 2 | 10 | 20 |
Final | 1 | 15 | 15 |
Total Workload | 170 |