EEE103 Calculus I

5 ECTS - 4-0 Duration (T+A)- 1. Semester- 4 National Credit

Information

Code EEE103
Name Calculus I
Term 2024-2025 Academic Year
Semester 1. 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 Sibel DOĞRU AKGÖL (A Group) (Ins. in Charge)


Course Goal / Objective

To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity.

Course Content

Limit, precise definiton of limit, limit at infinity. Derivative concept, derivative definition, differentiation rules, implicit differentiation, related rates. Maxima and minima, concavity, curve sketching, optimization. Area problem, definite integral, fuındamental theorem of Calculus, subsitution rule. Transcendental functions, their derivatives and integrals, indeterminate limits and L Hospital rule. Integration by parts and other iintegration techniques.

Course Precondition

NONE

Resources

Calculus, Soo T. Tan

Notes

Internet bazlı kaynaklar


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Identifies every function.
LO02 Comprehends the limit concept and evaluates limits.
LO03 Grasps the geometical and physical meaning of derivative, writes the derivative definition.
LO04 Defines the derivative and evaluates the derivative of any function.
LO05 Draws the graphics of functions.
LO06 Evaluates limits and solves some maximum-minimum problems by using derivative.
LO07 Defines definite integral, evaluates indefinite integrals using appropriate methods.


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. 5
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. 4
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. 5
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. 3
PLO06 Bilgi - Kuramsal, Olgusal Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. 5
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, 4
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. 5
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. 4
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. 4
PLO13 Bilgi - Kuramsal, Olgusal Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in.


Week Plan

Week Topic Preparation Methods
1 Introduction to functions Preparation Öğretim Yöntemleri:
Anlatım
2 Limit concept, limit definition Preparation Öğretim Yöntemleri:
Anlatım
3 Limit at infinity, infinity as a limit, continuity Preparation Öğretim Yöntemleri:
Anlatım
4 Tangent problem, derivative definition Preparation Öğretim Yöntemleri:
Anlatım
5 Derivative rules, derivatives of trigonometric functions Preparation Öğretim Yöntemleri:
Anlatım
6 Chain rule, higher order derivatives, implicit differentiation Preparation Öğretim Yöntemleri:
Anlatım
7 Curve sketching, applied optimization problems Preparation Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Prepare exam questions Öğretim Yöntemleri:
Anlatım
9 Area problem, definite integral and its properties Preparation Öğretim Yöntemleri:
Anlatım
10 Fundamental Theorem of Calculus, indefinite integral, substitution rule Preparation Öğretim Yöntemleri:
Anlatım
11 Exponential and logarithmic functions Preparation Öğretim Yöntemleri:
Anlatım
12 Inverse trigonometric functions, indeterminate limits and L Hospital rule Preparation Öğretim Yöntemleri:
Anlatım
13 Integration by parts, trigonometric integrals, trigonometric substitution Preparation Öğretim Yöntemleri:
Anlatım
14 Integration of rational functions, rationalizing substitutions Preparation Öğretim Yöntemleri:
Anlatım
15 Review Preparation Öğretim Yöntemleri:
Anlatım
16 Term Exams Prepare exam questions Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Prepare exam questions 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: 13.05.2024 10:35