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Course Information
Course Unit Title : Engineering Mathematics 1
Course Unit Code : INS-211
Type of Course Unit : Compulsory
Level of Course Unit : First Cycle
Year of Study : 2
Semester : 3.Semester
Number of ECTS Credits Allocated : 6,00
Name of Lecturer(s) :
Course Assistants :
Learning Outcomes of The Course Unit : 1. Understanding the fundamental concepts and basic definitions
2. Understanding the first order differential equations and solution methods
3. Understanding the problems of trajectories
4. Understanding the higher order differential equations and solutions methods
5. Understanding Laplace transformation
6. Understanding series
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : Fundamental contents and definitions, First order differential equations and solution methods, the Problems of trajectories, High order differential equations and solution methods, Laplace transformation, Series
Languages of Instruction :
Course Goals :
Course Aims : Studies of the solutions methods of ordinary differential equations, Laplace transformations and series that is necessary for the Civil Engineering problems
WorkPlacement   Not Available
Recommended or Required Reading
Textbook : Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
Additional Resources : 1. Elementary Differential Equations and Boundary Value Problems(W.E.Boyce-R.C.Prima) 2. Guide of High Mathematics (Halilov H) 2001 in Turkish 3. Problems of Elementary Differential Equations (Krasnov ML, Kiselyov AI and Makarenko GI) 1978 in Russsian
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 4 56  
Time Of Studying Out Of Class :
14 3 42  
Homeworks :
1 25 25  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 25 25  
Finals :
1 25 25  
Workload Hour (30) :
30  
Total Work Charge / Hour :
173  
Course's ECTS Credit :
0      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 40
Quiz :
0 0
Homework :
0 0
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
40
The ratio of the term to success :
40
The ratio of final to success :
60
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 Introduction, fundamental concepts and definitions, First order differential equations, Differential equations that are separated to their variables, Differential equations that can be separated to their variables, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
2 Linear differential equation, Bernoulli equation, Exact differential equations, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
3 Differential equation of Lagrange and Clairait. Problems of trajectories, Singular Solution, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
4 Higher order linear homogeneous differential equations, definitions, linear independent functions, Wronskian Determinant, Gramm Determinant, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
5 Solutions of the higher order linear non-homogenous differential equations with constant coefficient by using selection method, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
6 Solutions of the higher order linear differential equations with constant coefficient by using superposition method, Problem of Cauchy, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
7 Solutions of the higher order linear differential equations with variable coefficient by using method of Lagrange, Euler Equation, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
8 Laplace transformations, Definitions, Properties, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
9 Applying Laplace transformation to the solution of the differential equations, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
10 Fundamental concepts and definitions of numerical series, Necessary condition for the convergence of numerical series, Comparisons of numerical series with positive terms, Rules of the convergence of numerical series, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
11 Series that are changing their sign in order, Series that are changing their sign, Functional series, Majorant series, Continuity of addition of series, Integrations of series, Differentials of series, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
12 Power series and convergence interval, Taylor series, Euler series, Binomal series, Review problems
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
13 Computations irrational number, Trigonometric and logarithmic functions, Definite integral, by using series, Fourier series
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY
14 General Assessment
  Study Materials: Course Notes of Engineering Mathematics I/ Prof. Dr. Abdullah AVEY