FACULTY OF ENGINEERING
Department of Genetics and Bioengineering
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 |
|
|||||||
Course Language |
English
|
|||||||
Course Type |
Required
|
|||||||
Course Level |
First Cycle
|
|||||||
Mode of Delivery | - | |||||||
Teaching Methods and Techniques of the Course | DiscussionProblem SolvingLecture / 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;
|
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. |
|
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
|
55
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
45
|
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 adequate knowledge in Mathematics, Science and Genetics and Bioengineering; to be able to use theoretical and applied information in these areas on complex engineering problems. |
X | ||||
2 | To be able to identify, define, formulate, and solve complex Genetics and Bioengineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. |
|||||
3 | To be able to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose. |
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4 | To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in Genetics and Bioengineering applications; to be able to use information technologies effectively. |
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5 | To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Genetics and Bioengineering research topics. |
|||||
6 | To be able to work efficiently in Genetics and Bioengineering disciplinary and multi-disciplinary teams; to be able to work individually. |
|||||
7 | To be able to communicate effectively in Turkish, both orally and in writing; 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. |
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8 | To have knowledge about global and social impact of Genetics and Bioengineering 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 Genetics and Bioengineering solutions. |
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9 | To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in Genetics and Bioengineering applications. |
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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. |
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11 | To be able to collect data in the area of Genetics and Bioengineering, and to be able to 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 recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Genetics and Bioengineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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