| Course Name |
Calculus II
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 154
|
Spring
|
2
|
2
|
3
|
6
|
| Prerequisites |
|
|||||||
| Course Language |
English
|
|||||||
| Course Type |
Required
|
|||||||
| Course Level |
First Cycle
|
|||||||
| Mode of Delivery | - | |||||||
| Teaching Methods and Techniques of the Course | DiscussionProblem SolvingLecture / Presentation | |||||||
| National Occupation Classification | - | |||||||
| Course Coordinator | ||||||||
| Course Lecturer(s) | ||||||||
| Assistant(s) | ||||||||
| Course Objectives | This course aims to provide information about integration techniques and applications, define functions of several variables, partial differentiation and multiple integration. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | In this course, integration techniques and application of integration, Taylor and Maclaurin series and their applications, functions of several variables, their derivatives, integrals and applications are examined. |
| Related Sustainable Development Goals |
|
|
|
Core Courses | |
| Major Area Courses | ||
| Supportive Courses |
X
|
|
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Related Preparation |
| 1 | The method of substitution | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 5.6, 5.7 |
| 2 | Integration by parts, integrals of rational functions | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.1, 6.2 |
| 3 | Integrals of rational functions, inverse substitutions | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.2, 6.3 |
| 4 | Inverse substitutions, improper Integrals | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.3, 6.5 |
| 5 | Solids of revolution | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 7.1 |
| 6 | Taylor and Maclaurin series, applications of Taylor and Maclaurin series, Functions of several variables | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 9.6, 9.7, 12.1 |
| 7 | Limits and continuity | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.2 |
| 8 | Midterm Exam | |
| 9 | Partial derivatives, Gradients and directional derivatives | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.3, 12.7 |
| 10 | Gradients and directional derivatives, Extreme values | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.7, 13.1 |
| 11 | Extreme values, Extreme values of functions defined on restricted domains | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.1, 13.2 |
| 12 | Extreme values of functions defined on restricted domains, Lagrange multipliers | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.2, 13.3 |
| 13 | Iteration of double integrals in cartesian coordinates, double integrals in polar coordinates | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.2, 14.4 |
| 14 | Triple integrals. Change of variables in triple integrals | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.5, 14.6 |
| 15 | Semester review | |
| 16 | Final exam |
| Course Notes/Textbooks | R Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). ISBN 978-0-13-415436-7
|
| Suggested Readings/Materials |
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
4
|
20
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
30
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
5
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| Total |
| 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 |
4
|
4
|
16
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
22
|
22
|
| Final Exam |
1
|
36
|
36
|
| Total |
180
|
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
|||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 |
Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computer computation, and topics specific to related engineering disciplines; the ability to use this knowledge in solving complex engineering problems |
-
|
-
|
-
|
-
|
X
|
|
| 2 |
Problem Analysis: The ability to define, formulate, and analyze complex engineering problems by using fundamental science, mathematics, and engineering knowledge, while considering the relevant UN Sustainable Development Goals (SDGs) related to the problem. |
-
|
-
|
-
|
-
|
-
|
|
| 3 |
Engineering Design: The ability to design creative solutions to complex engineering problems; the ability to design complex systems, processes, devices, or products that meet present and future requirements, considering realistic constraints and conditions. |
-
|
-
|
-
|
-
|
-
|
|
| 4 |
Use of Techniques and Tools: The ability to select and use appropriate techniques, resources, and modern engineering and information technology tools, including prediction and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations |
-
|
-
|
-
|
-
|
-
|
|
| 5 |
Research and Investigation: The ability to use research methods, including literature review, designing experiments, conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems. |
-
|
-
|
-
|
-
|
-
|
|
| 6 |
Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs); awareness of the legal consequences of engineering solutions |
-
|
-
|
-
|
-
|
-
|
|
| 7 |
Ethical Behavior: Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility; awareness of acting impartially and inclusively, without discrimination in any matter. (FENG101) |
-
|
-
|
-
|
-
|
-
|
|
| 8 |
Individual and Team Work: The ability to work effectively as an individual and as a member or leader of both intra-disciplinary and interdisciplinary teams (whether face-to-face, remote, or hybrid). |
-
|
-
|
-
|
-
|
-
|
|
| 9 |
Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession), particularly in technical matters. |
-
|
-
|
-
|
-
|
-
|
|
| 10 |
Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation. |
-
|
-
|
-
|
-
|
-
|
|
| 11 |
Lifelong Learning: The ability to learn independently and continuously, adapt to new and emerging technologies, and think critically about technological changes. |
-
|
-
|
-
|
-
|
-
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
As Izmir University of Economics transforms into a world-class university, it also raises successful young people with global competence.
More..Izmir University of Economics produces qualified knowledge and competent technologies.
More..Izmir University of Economics sees producing social benefit as its reason for existence.
More..