Energy Systems 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): |
Prof. Dr. SEZGİN SEZER |
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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) Closed Department |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Closed Department |
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 |