CEN107 Mathematics 1

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

Information

Code CEN107
Name Mathematics 1
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. ŞEHMUS FINDIK
Course Instructor Prof. Dr. ŞEHMUS FINDIK (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

Preliminaries, Functions, Limits and Continuity, Derivatives, Applications of Derivative

Course Precondition

None.

Resources

Calculus, J. Stewart

Notes

None.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Identifies every function, draw their graphics.
LO02 Comprehends the limit concept and evaluates limits.
LO03 Grasps the geometical and physical meaning of derivative, writes the derivative definition, defines the derivative rules based on this definition, evaluates the derivative of any function.
LO04 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 of mathematics, science and related engineering disciplines; ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal Ability to identify, formulate and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. 4
PLO03 Bilgi - Kuramsal, Olgusal Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose.
PLO04 Bilgi - Kuramsal, Olgusal Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively.
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics.
PLO06 Bilgi - Kuramsal, Olgusal Ability to work effectively in interdisciplinary and multidisciplinary teams; individual working skills.
PLO07 Bilgi - Kuramsal, Olgusal Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions.
PLO08 Bilgi - Kuramsal, Olgusal Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself.
PLO09 Bilgi - Kuramsal, Olgusal Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice.
PLO10 Bilgi - Kuramsal, Olgusal Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development.
PLO11 Bilgi - Kuramsal, Olgusal Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions.


Week Plan

Week Topic Preparation Methods
1 Introduction to functions 1 Reading the lecture notes Öğretim Yöntemleri:
Anlatım
2 Limit concept, limit definition 2 Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım
3 Limit at infinity, infinity as a limit, continuity 3 Reading the lecture notes Öğretim Yöntemleri:
Anlatım
4 Tangent problem, derivative definition 4 Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım
5 Derivative rules, derivatives of trigonometric functions 5 Reading the lecture notes Öğretim Yöntemleri:
Anlatım
6 Chain rule, higher order derivatives, implicit differentiation 6 Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım
7 Curve sketching, applied optimization problems 7 Reading the lecture notes Öğretim Yöntemleri:
Anlatım
8 Review, midterm exam 8 Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım
9 Area problem, definite integral and its properties 9 Reading the lecture notes Öğretim Yöntemleri:
Anlatım
10 Fundamental Theorem of Calculus, indefinite integral, substitution rule 10 Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım
11 Exponential and logarithmic functions 11 Reading the lecture notes Öğretim Yöntemleri:
Anlatım
12 Inverse trigonometric functions, indeterminate limits and L´Hospital rule 12 Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım
13 Integration by parts, trigonometric integrals, trigonometric substitution 13 Reading the lecture notes Öğretim Yöntemleri:
Anlatım
14 Integration of rational functions, rationalizing substitutions 14 Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım
15 FINAL 15 Reading the lecture notes Ölçme Yöntemleri:
Yazılı Sınav
16 FINAL 16 Reading the lecture notes Ölçme Yöntemleri:
Yazılı Sınav
17 FINAL 17 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: 21.11.2024 12:17