EEE104 Calculus II

5 ECTS - 4-0 Duration (T+A)- 2. Semester- 4 National Credit

Information

Code EEE104
Name Calculus II
Term 2022-2023 Academic Year
Semester 2. Semester
Duration (T+A) 4-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 4 National Credit
Teaching Language İngilizce
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HAYRULLAH AYIK
Course Instructor Prof. Dr. HAYRULLAH AYIK (A Group) (Ins. in Charge)


Course Goal / Objective

To teach the student the topics of infinite series, functions of several variables, multiple integrals and integral theorems, which are the main topics of engineering mathematics, in a functional integrity.

Course Content

Integral applications, volumes and areas of surfaces of revolution, arc length. Parametric equations and curves, polar coordinates. Infinite sequences and series, convergence tests, power series, Taylor and Maclaurin series, approximation with Taylor polynomials. Functions of several variables, partial derivatives. Double and triple integrals, change of variables, integrals over polar coordinates. Surface area, line integrals, Greens theorem, surface integrals, divergence theorem, Stokes theorem.

Course Precondition

NONE

Resources

Calculus, Soo T. Tan

Notes

internet bazlı kaynaklar


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Evaluates definite integrals using appropriate methods.
LO02 Evaluates areas and valumes by using integrals.
LO03 Finds the length of curves and surface areas.
LO04 Analyzes infinite series in conjuction with convergence and divergence concepts
LO05 Derives the Taylor-Maclaurin expansion of a given function.
LO06 Calculates and comments on the partial derivatives of multivariable functions.
LO07 Calculates multiple integrals, line and surface integrals


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. 4
PLO02 Bilgi - Kuramsal, Olgusal Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. 4
PLO03 Bilgi - Kuramsal, Olgusal Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. 5
PLO04 Bilgi - Kuramsal, Olgusal Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. 4
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. 5
PLO06 Bilgi - Kuramsal, Olgusal Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. 4
PLO07 Bilgi - Kuramsal, Olgusal Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations,
PLO08 Bilgi - Kuramsal, Olgusal Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. 3
PLO09 Bilgi - Kuramsal, Olgusal Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. 4
PLO10 Bilgi - Kuramsal, Olgusal Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. 3
PLO11 Bilgi - Kuramsal, Olgusal Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. 5
PLO12 Bilgi - Kuramsal, Olgusal Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices. 5
PLO13 Bilgi - Kuramsal, Olgusal Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. 3


Week Plan

Week Topic Preparation Methods
1 Integral applications, arc length, volume and surface area calculation Preparation Öğretim Yöntemleri:
Anlatım
2 Parametric curves Preparation Öğretim Yöntemleri:
Anlatım
3 Polar coordinates, polar curves Preparation Öğretim Yöntemleri:
Anlatım
4 Infinite series, convergence tests Preparation Öğretim Yöntemleri:
Anlatım
5 Convergence tests (continued) Preparation Öğretim Yöntemleri:
Anlatım
6 Taylor and Maclaurin expansions, Taylor approximation Preparation Öğretim Yöntemleri:
Anlatım
7 Introduction to multivariable functions, partial derivatives and the chain rule Preparation Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Preparation for Exam Quations Ölçme Yöntemleri:
Yazılı Sınav
9 Double integrals over general regions Preparation Öğretim Yöntemleri:
Anlatım
10 Triple integrals, change of variables in multiple integrals Preparation Öğretim Yöntemleri:
Anlatım
11 Double and triple integrals in polar coordinates Preparation Öğretim Yöntemleri:
Anlatım
12 Surface area calculation, line integrals Preparation Öğretim Yöntemleri:
Anlatım
13 Surface integrals, Greens theorem Preparation Öğretim Yöntemleri:
Anlatım
14 Stokes and Divergence theorems Preparation Öğretim Yöntemleri:
Anlatım
15 Review Preparation Öğretim Yöntemleri:
Anlatım
16 Term Exams Preparation for Exam Quations Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Preparation for Exam Quations Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 4 56
Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 8 8
Final Exam 1 16 16
Total Workload (Hour) 122
Total Workload / 25 (h) 4,88
ECTS 5 ECTS

Update Time: 17.11.2022 11:06