Course Title Code Semester L+P Hour Credits ECTS
Mathematics II * IMZ   102 2 3 3 6

Prerequisites and co-requisites Yok
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof. Dr. Ali Hamza TANRIKULU
Prof. Dr.ALİ HAMZA TANRIKULU1. Öğretim Grup:A
Prof. Dr.ALİ HAMZA TANRIKULU1. Öğretim Grup:B
Prof. Dr.ALİ HAMZA TANRIKULU2. Öğretim Grup:A
Prof. Dr.ALİ HAMZA TANRIKULU2. Öğretim Grup:B
Teaching of Integral concept and its application in engineering
Calculus and Engineering Applications

Learning Outcomes

Course's Contribution To Program
NoProgram Learning OutcomesContribution
Has the basic knowledge of math, science and civil engineering
Has a good commman of basic concepts, theories and principles in civil engineering.
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
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.
Selects and uses the modern techniques and tools necessary for engineering practice
Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments
Gains the abiltiy to work effectively as a member in interdisciplinary teams
Identifies proper sources of information and databases, reaches them and uses them efficiently.
Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself.
Uses the computers and information technologies related with civil engineering actively.
Gains the ability to communicate effectively both orally and in writing.
Communicates using technical drawing
Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields.
Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements.
Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues.
Has an awareness of professional and ethical responsibility
Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications.

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Differential, Antiderivative, Indefinite integral, Indefinite integral features Lecture Notes
2 Integral Techniques, Basic Elements Separation, The Method of Substitution, Partial Integral Method Lecture Notes
3 Trigonometric integrals, Trigonometric Substitution, Some Rooted Expressions Integrals Lecture Notes
4 Integral of Rational Functions, Basic Fractionization Method Lecture Notes
5 The Definite Integral, Riemann Sum, Definite Integral Calculus, The Basic Area Problem Lecture Notes
6 Some Properties of Definite Integral, Definite Integrals of Piecewise Continuous Functions Lecture Notes
7 The Method of Substitution in Definite integrals, Partial Integration in Definite integrals Lecture Notes
8 Improper Integrals, First Type Improper Integrals, Second Type Improper integrals, Average Value of a Function Lecture Notes
9 Areas of Plane Regions, Areas Between Two Curves Lecture Notes
10 Mid-Term Exam Exam
11 Volume Calculation, Volumes of Solids of Revolution, Other Volumes by Slicing Lecture Notes
12 Mean Value Theorem, Arc Length, Areas of Surface of Revolution Lecture Notes
13 Three-Dimensional Coordinate System, Functions of Several Variables, Functions of Two Variables Lecture Notes
14 Partial Derivatives, High Order Partial Derivatives, Total Differential, Composite Functions Derivatives, Implicit Differentiation Lecture Notes
15 Double integrals, Double Integral Calculus, Properties of Double Integral Lecture Notes
16-17 Final Exam Exam

Recommended or Required Reading
Additional Resources
1. STEWART, J., Kalkülüs Diferansiyel ve İntegral Hesap Kavram ve Kapsam. Türkiye Bilimler Akademisi, Ankara, 990 s.