FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 202 | Course Introduction and Application Information
| Course Name |
Advanced Calculus II
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 202
|
Spring
|
2
|
2
|
3
|
6
|
| Prerequisites |
|
|||||||||
| Course Language |
English
|
|||||||||
| Course Type |
Required
|
|||||||||
| Course Level |
First Cycle
|
|||||||||
| Mode of Delivery | face to face | |||||||||
| Teaching Methods and Techniques of the Course | Problem SolvingQ&ALecture / Presentation | |||||||||
| Course Coordinator | - | |||||||||
| Course Lecturer(s) | ||||||||||
| Assistant(s) | ||||||||||
| Course Objectives | The objective of this course is to introduce the fundamental concepts of integration of multivariable functions, line integrals of vector fields, oriented surfaces and flux integrals |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | In this course double and triple integrals of multivariable functions will be discussed. Line integrals, surface integrals, flux integrals will be calculated. Green's theorem, divergence theorem and Stokes' theorem will be discussed and some physical applications will be solved. |
|
|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | Double integrals, Iteration of double integrals | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 14.1, 14.2 |
| 2 | Improper integrals and a mean value theorem, Double integrals in polar coordinates | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 14.3, 14.4 |
| 3 | Double integrals in polar coordinates, Triple integrals | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 14.4, 14.5 |
| 4 | Change of variables in triple integrals | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 14.6 |
| 5 | Curves and parametrizations, Vector and scalar fields | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 11.3, 15.1 |
| 6 | Conservative fields, Line Integrals | Robert A. Adams, Christopher Essex, Calculus, "A complete course", Pearson, 9th edition, Section 15.2, 15.3 |
| 7 | Midterm Exam | |
| 8 | Line integrals of vector fields | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 15.4 |
| 9 | Surface and surface integrals, Oriented surfaces and flux integrals | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 15.5, 15.6 |
| 10 | Oriented surfaces and flux integrals, Gradient, divergence, and curl | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 15.6, 16.1 |
| 11 | Some identities involving gradient, divergence and curl, Green's theorem in the plane | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 16.2, 16.3 |
| 12 | Green's theorem in the plane, The Divergence theorem in 3-space | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 16.3, 16.4 |
| 13 | The Divergence theorem in 3-space, The Stoke’s theorem | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 16.4, 16.5 |
| 14 | Some physical applications of vector calculus | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018). Section 16.6 |
| 15 | Semester review | |
| 16 | Final exam |
| Course Notes/Textbooks | Robert A. Adams, Christopher Essex, Calculus, "A complete course", (Pearson, 9th edition, 2018).
ISBN 978-0-13-415436-7
|
| Suggested Readings/Materials |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
5
|
25
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
25
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
6
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
2
|
32
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
| Study Hours Out of Class |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
5
|
5
|
25
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
19
|
19
|
| Final Exam |
1
|
30
|
30
|
| Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics. |
X | ||||
| 2 | To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics. |
|||||
| 3 | To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials. |
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| 4 | To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning. |
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| 5 | To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals. |
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| 6 | To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project. |
X | ||||
| 7 | To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge. |
X | ||||
| 8 | To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field. |
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| 9 | To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security. |
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| 10 | To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking. |
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| 11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
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| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
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| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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