Food 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: | |||||||||
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) Has sufficient background in mathematics, science and engineering related fields. | ||||||||||||||||||||||
2) Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | ||||||||||||||||||||||
3) Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | ||||||||||||||||||||||
4) Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | ||||||||||||||||||||||
5) Selects and uses the modern techniques and tools necessary for engineering applications. | ||||||||||||||||||||||
6) Design experiments, conduct experiments, collect data, analyze and interpret results. | ||||||||||||||||||||||
7) Works individually and in multi-disciplinary teams. | ||||||||||||||||||||||
8) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
9) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
10) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
11) Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | ||||||||||||||||||||||
12) Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | ||||||||||||||||||||||
13) Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | ||||||||||||||||||||||
14) Selects and uses the modern techniques and tools necessary for engineering applications. | ||||||||||||||||||||||
15) Works individually and in multi-disciplinary teams | ||||||||||||||||||||||
16) Uses information and communication technologies together with computer software required by the field at least Advanced Level of European Computer Skills License. | ||||||||||||||||||||||
17) Communicate effectively verbally and in writing; use a foreign language at least at level B1 of the European Language Portfolio. | ||||||||||||||||||||||
18) Communicates using technical drawing. | ||||||||||||||||||||||
19) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
20) Becomes aware of the universal and social effects of engineering solutions and applications; entrepreneurship and innovation and have knowledge about the problems of the age. | ||||||||||||||||||||||
21) Has professional and ethical responsibility. | ||||||||||||||||||||||
22) Have awareness of project management, workplace practices, employee health, environmental and occupational safety; the legal consequences of engineering applications. | ||||||||||||||||||||||
23) Demonstrates awareness of the universal and social impact of engineering solutions and applications; is aware of entrepreneurship and innovation and has knowledge about the problems of the age. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Has sufficient background in mathematics, science and engineering related fields. | 4 |
2) | Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | 5 |
3) | Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | 5 |
4) | Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | 5 |
5) | Selects and uses the modern techniques and tools necessary for engineering applications. | 5 |
6) | Design experiments, conduct experiments, collect data, analyze and interpret results. | 5 |
7) | Works individually and in multi-disciplinary teams. | 5 |
8) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 5 |
9) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 5 |
10) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 5 |
11) | Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | 5 |
12) | Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | 5 |
13) | Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | 5 |
14) | Selects and uses the modern techniques and tools necessary for engineering applications. | 5 |
15) | Works individually and in multi-disciplinary teams | 5 |
16) | Uses information and communication technologies together with computer software required by the field at least Advanced Level of European Computer Skills License. | 5 |
17) | Communicate effectively verbally and in writing; use a foreign language at least at level B1 of the European Language Portfolio. | 5 |
18) | Communicates using technical drawing. | |
19) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | |
20) | Becomes aware of the universal and social effects of engineering solutions and applications; entrepreneurship and innovation and have knowledge about the problems of the age. | |
21) | Has professional and ethical responsibility. | |
22) | Have awareness of project management, workplace practices, employee health, environmental and occupational safety; the legal consequences of engineering applications. | |
23) | Demonstrates awareness of the universal and social impact of engineering solutions and applications; is aware of entrepreneurship and innovation and has knowledge about the problems of the age. |
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 |