INMZ103 Mathematics 1

6 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code INMZ103
Name Mathematics 1
Term 2024-2025 Academic Year
Semester 1. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Belirsiz
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HATİCE ÇAĞATAY
Course Instructor Prof. Dr. HATİCE ÇAĞATAY (A Group) (Ins. in Charge)


Course Goal / Objective

The aim of the course is to teach the basic mathematical techniques used in branch courses, in addition to attain analytical thinking.

Course Content

Basic mathematics and their applications to engineering

Course Precondition

None

Resources

Prof. Dr. Mustafa Balcı, Genel Matematik 1, Balcı yayınları, 2008.

Notes

Dennis G. Zill, Warren S. Wright, Calculus, Nobel yayınnları, 2013.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 To understand the functions and features
LO02 To learn the concept of limit
LO03 To learn how to take the derivative of a function
LO04 To solve some physical problems by using derivative thechniques
LO05 Optimization problems
LO06 Learns and solves curved drawings.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has the basic knowledge of math, science and civil engineering 5
PLO02 Bilgi - Kuramsal, Olgusal Has a good commman of basic concepts, theories and principles in civil engineering.
PLO03 Bilgi - Kuramsal, Olgusal Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions 4
PLO04 Bilgi - Kuramsal, Olgusal Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations.
PLO05 Bilgi - Kuramsal, Olgusal Selects and uses the modern techniques and tools necessary for engineering practice
PLO06 Bilgi - Kuramsal, Olgusal Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments
PLO07 Bilgi - Kuramsal, Olgusal Gains the abiltiy to work effectively as a member in interdisciplinary teams 2
PLO08 Bilgi - Kuramsal, Olgusal Identifies proper sources of information and databases, reaches them and uses them efficiently.
PLO09 Bilgi - Kuramsal, Olgusal Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself.
PLO10 Bilgi - Kuramsal, Olgusal Uses the computers and information technologies related with civil engineering actively.
PLO11 Bilgi - Kuramsal, Olgusal Gains the ability to communicate effectively both orally and in writing.
PLO12 Bilgi - Kuramsal, Olgusal Communicates using technical drawing
PLO13 Bilgi - Kuramsal, Olgusal Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields.
PLO14 Bilgi - Kuramsal, Olgusal Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements.
PLO15 Bilgi - Kuramsal, Olgusal Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues.
PLO16 Bilgi - Kuramsal, Olgusal Has an awareness of professional and ethical responsibility
PLO17 Bilgi - Kuramsal, Olgusal Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications.


Week Plan

Week Topic Preparation Methods
1 Sets, real numbers, equations and a graph of an inequality Lecture notes and book etc. Öğretim Yöntemleri:
Anlatım, Soru-Cevap
2 Functions, some special functions and practical illustrations of these functions Pepeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
3 Trigonometric functions, inverse trigonometric functions, exponential and logarithmic functions, hyperbolic functions and their inverses Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
4 Limit, the right and left sided limits, rules of a limit, and limit of a function at a point Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
5 Continuity, continuous functions, properties of continuous functions Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
6 Derivative, derivative rules, the derivative of an inverse function, derivative of inverse trigonometric functions Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
7 Derivative of a logarithm function , the derivative of the exponential function, logarithmic differentiation Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
8 Mid-Term Exam Repeat the previous lesson Ölçme Yöntemleri:
Yazılı Sınav
9 Hyperbolic functions, derivetive of an inverse hyperbolic functions Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
10 Derivative of the parametric equations , implicit differentiation, higher order derivatives Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
11 Geometric interpretation of the derivative and physical application of drivatives Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
12 Maximum, minimum points of a function, maximum-minimum problems Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
13 Theorems related with the derivatives, L'Hospital rule, Rolle and Mean Value Theorem Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
14 Indeterminate forms, differential Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
15 Asymptote concept, function plotting by observation of changes in functions Repeat the previous lesson Öğretim Yöntemleri:
Anlatım, Soru-Cevap
16 Term Exams Repeat the previous lesson Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Repeat the previous lesson Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 13 6 78
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 16 16
Total Workload (Hour) 148
Total Workload / 25 (h) 5,92
ECTS 6 ECTS

Update Time: 07.10.2024 06:12