Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  502001052010  MATHEMATICS I  Compulsory  1  1  6 

Level of Course Unit 
First Cycle 
Objectives of the Course 
The aim of course is to provide the tools for the other courses and gain the ability of systematic and analytic approach to the problems for textile engineering students 
Name of Lecturer(s) 
Öğr. Gör. Dr. Ahmet HAMAL 
Learning Outcomes 
1  to provide the tools for the other courses  2  to gain ability of analytic approach to the engineering problems  3  to improve mathematical sense  4  to gain ability of study individual 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
• Numbers
• Functions
• Limits and continuity concept at functions
• Derivative and its applications
• Drawing of graphs
• Indefinite integrals and the methods of finding primitive
• indefinite integral methods
• Riemannn integrals and properties
• Mean value theorems on integrals
• Aplications of the definite integrals( area, volume, lengths of curves, area of surface)
• Improper integrals

Weekly Detailed Course Contents 

0  Numbers and functions
 Guided problem solving   1  The properties of functions and
function types
 Guided problem solving   2  The limit concept  Guided problem solving   3  Continuity  Guided problem solving   4  The definition of derivative,
Derivative rules
 Guided problem solving   5  The theorems of derivative  Guided problem solving   6  Optimization,
Drawing of graphs
 Guided problem solving   7  Midterm Exam    8  Indefinite integrals and the methods of indefinite integrals  Guided problem solving   9  Partition , lower sum and upper sum  Guided problem solving   10  Riemannn integrals and properties  Guided problem solving   11  Theorems of integrals  Guided problem solving   12  Area and volume
 Guided problem solving   13  Lengths of arc and
area of surface
 Guided problem solving   14  Improper integrals  Guided problem solving   15  Final   

Recommended or Required Reading 
1. Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)
2. Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)

Planned Learning Activities and Teaching Methods 
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation" 
Assessment Methods and Criteria  
Midterm Examination  1  100  SUM  100  
Final Sınavı  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Language of Instruction  Turkish  Work Placement(s)  None 

Workload Calculation 