NUMERICAL SOLUTION METHODS

AIM

1.To introduce numerical methods and to give information about their application areas in engineering. 2.To gain the ability to apply numerical methods in solving engineering problems.

CONTENT

This course contains; Complex Analysis,Introduction to Numerics Analysis,Solution of Equations by Iteration,Sayısal Lineer Cebir,Numeric Differentiation ,Numeric İntegration,Numeric Linear Algebra,Numeric Linear Algebra (continueing),Numarical soluton of ODEs,Numarical soluton of ODEs (continueing),Linear Programming ,Simplex Method,Fractional Geometry,Fractional Geometry (continueing).

1. 1

   Ability to identify complex variable functions, integrate and differentiate.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

2. 2

   Ability to define analytic and harmonic functions.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

3. 3

   Ability to apply numerical methods to engineering problems.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

4. 4

   To evaluate roots of equations and polynomials.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

5. 5

   Ability to apply numerical differentiation and integration.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

6. 6

   Understands the ability to select and apply linear and non-linear regression, interpolated polynomials and spline interpolation.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

7. 7

   Ability to solve ordinary differential equations with numerical methods.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

8. 8

   Ability to define and apply linear programming, simplex method and optimization methods.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

9. 9

   Understands fractional geometry and its use in engineering.

   Taught by: Demonstration Method, Problem Solving Method · Assessed by: Traditional Written Exam, Short Answer Exam, Homework, Quiz

WEEKLY PLAN

1. WEEK 1

   Complex Analysis

2. WEEK 2

   Introduction to Numerics Analysis

3. WEEK 3

   Solution of Equations by Iteration

4. WEEK 4

   Sayısal Lineer Cebir

5. WEEK 5

   Numeric Differentiation

6. WEEK 6

   Numeric İntegration

7. WEEK 7

   Numeric Linear Algebra

8. WEEK 8

   Numeric Linear Algebra (continueing)

9. WEEK 9

   Numarical soluton of ODEs

10. WEEK 10

    Numarical soluton of ODEs (continueing)

11. WEEK 11

    Linear Programming

12. WEEK 12

    Simplex Method

13. WEEK 13

    Fractional Geometry

14. WEEK 14

    Fractional Geometry (continueing)

ASSESSMENT

• Rate of Midterm Exam to Success50%
• Rate of Final Exam to Success50%

WORKLOAD

READING

• Erwin Kreyszig, Advance Engineering Mathematics, John Wiley & Sons.

TEACHING STAFF

• Assist.Prof. Özge BİÇER ÖDEMİŞCOORDINATOR
• Assist.Prof. Özge BİÇER ÖDEMİŞ