FACULTY OF ENGINEERING

Department of Mechatronics Engineering

MATH 154 | Course Introduction and Application Information

Course Name
Calculus II
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 154
Spring
2
2
3
6

Prerequisites
  MATH 153 To get a grade of at least FD
Course Language
English
Course Type
Required
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course Discussion
Problem Solving
Lecture / Presentation
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;
  • evaluate definite and indefinite integrals of functions using integration techniques
  • calculate improper integrals and volumes of solids.
  • use the applications of Taylor and Maclaurin series effectively.
  • define the concepts of limits and continuity for the functions of several variables.
  • calculate partial and directional derivatives.
  • solve extreme value problems.
  • compute double and triple integrals
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.

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

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 Midterm Exam
8 Limits and continuity Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.2
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

 

EVALUATION SYSTEM

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
35
Final Exam
1
45
Total

Weighting of Semester Activities on the Final Grade
5
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
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
4
6
24
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
20
20
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 have knowledge in Mathematics, science, physics knowledge based on mathematics; mathematics with multiple variables, differential equations, statistics, optimization and linear algebra; to be able to use theoretical and applied knowledge in complex engineering problems

X
2

To be able to identify, define, formulate, and solve complex mechatronics engineering problems; to be able to select and apply appropriate analysis and modeling methods for this purpose.

3

To be able to design a complex electromechanical system, process, device or product with sensor, actuator, control, hardware, and software to meet specific requirements under realistic constraints and conditions; to be able to apply modern design methods for this purpose.

4

To be able to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechatronics Engineering applications; to be able to use information technologies effectively.

5

To be able to design, conduct experiments, collect data, analyze and interpret results for investigating Mechatronics Engineering problems.

6

To be able to work effectively in Mechatronics Engineering disciplinary and multidisciplinary teams; to be able to work individually.

7

To be able to communicate effectively in Turkish, both in oral and written forms; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions.

8

To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions.

9

To be aware of ethical behavior, professional and ethical responsibility; information on standards used in engineering applications.

10

To have knowledge about industrial practices such as project management, risk management and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development.

11

Using a foreign language, he collects information about Mechatronics Engineering and communicates with his colleagues. ("European Language Portfolio Global Scale", Level B1)

12

To be able to use the second foreign language at intermediate level.

13

To recognize the need for lifelong learning; to be able to access information; to be able to follow developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechatronics Engineering.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


NEWS |ALL NEWS

Izmir University of Economics
is an establishment of
izto logo
Izmir Chamber of Commerce Health and Education Foundation.
ieu logo

Sakarya Street No:156
35330 Balçova - İzmir / Turkey

kampus izmir

Follow Us

İEU © All rights reserved.