IMZ101 Mathematics 1

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

Information

Code IMZ101
Name Mathematics 1
Term 2022-2023 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 Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ALİ HAMZA TANRIKULU
Course Instructor Prof. Dr. HATİCE ÇAĞATAY (A Group) (Ins. in Charge)


Course Goal / Objective

Teaching the concepts of limit and derivative and their applications in engineering

Course Content

Calculus and Engineering Applications

Course Precondition

Yok

Resources

1. STEWART, J., Kalkülüs Diferansiyel ve İntegral Hesap Kavram ve Kapsam. Türkiye Bilimler Akademisi, Ankara, 990 s.

Notes

Calculus books


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Students will learn using the concepts of limit, continuity and differetation of one variable functions.
LO02 Students will learn sketching the graph of a function using asymptotes, critical points and the derivative test for increasing/decreasing and concavity properties.
LO03 Students will learn setting up and solving max/min problems.
LO04 Students will learn evaluating definite integrals by using the Fundamental Theorem of Calculus and evaluating areas, volumes and arc lenghts by mean of definit integral.
LO05 Students will learn applying techniques of integration and working with transcendental functions.


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
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. 3
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 4
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. 3
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. 2
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 Real Numbers, Real Axis, inequalities, absolute value, Cartesian coordinates, graph an equation or inequality Lecture Notes Öğretim Yöntemleri:
Anlatım
2 Functions, Functions Chart, Single and Dual Functions, Composite Functions, Partial Functions Lecture Notes Öğretim Yöntemleri:
Anlatım
3 Trigonometric functions, Addition Formulas, Sine and Cosine Rule Lecture Notes Öğretim Yöntemleri:
Anlatım
4 Informal definition of Limit, Limit of a Function, Limit Rules, One-Sided Limits Lecture Notes Öğretim Yöntemleri:
Anlatım
5 Limit of polynomial and rational functions, Infinity Limit, Limit at infinity Lecture Notes Öğretim Yöntemleri:
Anlatım
6 Continuity at a point, right and left continuity, Continuity at an interval, Continuous Functions Lecture Notes Öğretim Yöntemleri:
Anlatım
7 Derivatives, Tangent Line and Instant Speed Problem, Rate of Change of a Function Lecture Notes Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Power Rule, Other Derivative Rules, Derivatives of composite functions, Chain rule Lecture Notes Öğretim Yöntemleri:
Anlatım
10 Implicit Differentiation, Higher Order Derivatives, Higher Order Derivatives of Implicit Functions Lecture Notes Öğretim Yöntemleri:
Anlatım
11 One-to-One Functions, Inverse Functions, Inverse Functions Properties, Inverse trigonometric functions Lecture Notes Öğretim Yöntemleri:
Anlatım
12 Exponential Function, Exponential Function Rules, Logarithm function, Logarithm rules, Exponential and Logarithm Functions Derivatives, Logarithmic derivative Lecture Notes Öğretim Yöntemleri:
Anlatım
13 Hyperbolic Functions, Inverse Hyperbolic Functions, Increasing and Decreasing Functions, Extreme Values of a Function Lecture Notes Öğretim Yöntemleri:
Anlatım
14 First Derivative Test, Second Derivative Test, Concavity of a function, Inflection Points, Oblique asymptote, Graph Drawing Lecture Notes Öğretim Yöntemleri:
Anlatım
15 Maximum and Minimum Problems, Indeterminate Forms, Hospital Rule Lecture Notes Öğretim Yöntemleri:
Anlatım
16 Term Exams Exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Exam Ölçme Yöntemleri:
Performans Değerlendirmesi


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) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 20.11.2022 09:31