CEN106 Mathematics 2

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

Information

Code CEN106
Name Mathematics 2
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. ŞEHMUS FINDIK
Course Instructor Prof. Dr. ŞEHMUS FINDIK (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

Sequence and series of numbers, power series, Taylor series. Quadratic curves, polar coordinates. Analytic geometry in R , vector functions. Functions of several variables, partial derivatives, minimum and maximum problems. Multiple integrals and applications. Line integral, Green's theorem. Surface integral, divergence theorem, Stokes' theorem.

Course Precondition

None.

Resources

Calculus, J. Stewart

Notes

None.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Analyzes infinite series in conjuction with convergence and divergence concepts
LO02 Derives the Taylor-Maclaurin expansion of a given function.
LO03 Calculates and comments on the partial derivatives of multivariable functions.
LO04 Calculates multiple integrals,


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has capability in the fields of mathematics, science and computer that form the foundations of engineering 5
PLO02 Bilgi - Kuramsal, Olgusal Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, 4
PLO03 Bilgi - Kuramsal, Olgusal Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly.
PLO04 Bilgi - Kuramsal, Olgusal Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. 3
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and to conduct experiments, to collect data, to analyze and to interpret results 5
PLO06 Bilgi - Kuramsal, Olgusal Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence
PLO07 Beceriler - Bilişsel, Uygulamalı Can access information,gains the ability to do resource research and uses information resources 5
PLO08 Beceriler - Bilişsel, Uygulamalı Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability 5
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language
PLO10 Yetkinlikler - Öğrenme Yetkinliği Professional and ethical responsibility, 3
PLO11 Yetkinlikler - Öğrenme Yetkinliği Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications,
PLO12 Yetkinlikler - Öğrenme Yetkinliği Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues 4


Week Plan

Week Topic Preparation Methods
1 Integral applications, arc length, volume and surface area calculation Reading the lecture notes Öğretim Yöntemleri:
Anlatım
2 Parametric curves Reading the lecture notes Öğretim Yöntemleri:
Anlatım
3 Polar coordinates, polar curves Reading the lecture notes Öğretim Yöntemleri:
Anlatım
4 Infinite series, convergence tests Reading the lecture notes Öğretim Yöntemleri:
Anlatım
5 Convergence tests (continued) Reading the lecture notes Öğretim Yöntemleri:
Anlatım
6 Taylor and Maclaurin expansions, Taylor approximation Reading the lecture notes Öğretim Yöntemleri:
Anlatım
7 Introduction to multivariable functions, partial derivatives and the chain rule Reading the lecture notes Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Reading the lecture notes Ölçme Yöntemleri:
Yazılı Sınav
9 Double integrals over general regions Reading the lecture notes Öğretim Yöntemleri:
Anlatım
10 Triple integrals, change of variables in multiple integrals Reading the lecture notes Öğretim Yöntemleri:
Anlatım
11 Double and triple integrals in polar coordinates Reading the lecture notes Öğretim Yöntemleri:
Anlatım
12 Surface area calculation, line integrals Reading the lecture notes Öğretim Yöntemleri:
Anlatım
13 Surface integrals, Green's theorem Reading the lecture notes Öğretim Yöntemleri:
Anlatım
14 Stokes and Divergence theorems Reading the lecture notes Öğretim Yöntemleri:
Anlatım
15 FINAL Reading the lecture notes Ölçme Yöntemleri:
Yazılı Sınav
16 Term Exams Reading the lecture notes Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Reading the lecture notes 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 08:13