Course Title Code Semester L+P Hour Credits ECTS
Mathematics 1 * IMZ   101 1 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 the concepts of limit and derivative and their applications 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 Real Numbers, Real Axis, inequalities, absolute value, Cartesian coordinates, graph an equation or inequality Lecture Notes
2 Functions, Functions Chart, Single and Dual Functions, Composite Functions, Partial Functions Lecture Notes
3 Trigonometric functions, Addition Formulas, Sine and Cosine Rule Lecture Notes
4 Informal definition of Limit, Limit of a Function, Limit Rules, One-Sided Limits Lecture Notes
5 Limit of polynomial and rational functions, Infinity Limit, Limit at infinity Lecture Notes
6 Continuity at a point, right and left continuity, Continuity at an interval, Continuous Functions Lecture Notes
7 Derivatives, Tangent Line and Instant Speed Problem, Rate of Change of a Function Lecture Notes
8 Mid-Term Exam Exam
9 Power Rule, Other Derivative Rules, Derivatives of composite functions, Chain rule Lecture Notes
10 Implicit Differentiation, Higher Order Derivatives, Higher Order Derivatives of Implicit Functions Lecture Notes
11 One-to-One Functions, Inverse Functions, Inverse Functions Properties, Inverse trigonometric functions Lecture Notes
12 Exponential Function, Exponential Function Rules, Logarithm function, Logarithm rules, Exponential and Logarithm Functions Derivatives, Logarithmic derivative Lecture Notes
13 Hyperbolic Functions, Inverse Hyperbolic Functions, Increasing and Decreasing Functions, Extreme Values of a Function Lecture Notes
14 First Derivative Test, Second Derivative Test, Concavity of a function, Inflection Points, Oblique asymptote, Graph Drawing Lecture Notes
15 Maximum and Minimum Problems, Indeterminate Forms, Hospital Rule 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.