# COURSE UNIT TITLE

: CALCULUS IV

#### Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTH 2014 CALCULUS IV COMPULSORY 4 0 0 4

#### Offered By

Faculty of Engineering

#### Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

#### Course Coordinator

ASSOCIATE PROFESSOR SÜLEYMAN ŞAFAK

#### Offered to

Textile Engineering

#### Course Objective

To teach basic mathematical concepts and the methods of numerical analysis for engineering education

#### Learning Outcomes of the Course Unit

 1 To learn the numerical analysis, the error of calculations 2 To learn exact and approximate methods of solution of linear systems of equations 3 To calculate the largest and smallest eigenvalues 4 To find numerical solutions of nonlinear equations 5 To learn finite differences, interpolation calculations and curve fitting 6 To calculate the numerical differentiation and integration, 7 To learn approximate solutions of ordinary differential equations

Face -to- Face

None

None

#### Course Contents

 Week Subject Description 1 Basic informations related to numerical analysis, error in computations 2 Systems of Linear Equations: Exact and Approximate solution methods 3 Eigenvalues and eigenvectors. The computations of the largest and the smallest eigenvalues 4 Solutions of nonlinear equations: Bisection and Tangent (Newton-Raphson) Methods 5 Numerical solutions of nonlinear equations with the secant, fixed point and functional approach methods 6 Midterm Exam 7 Finite Differences: Difference Tables 8 Polinomial interpolation and inverse interpolation 9 Least Squares Method: Curve fitting 10 Numerical Differentiation 11 Numerical Integration 12 Midterm Exam 13 Approximate solutions of Ordinary Differential Equations 14 Approximate solutions of initial value and boundary value problems

1. Bulut, S.A. 2000,Sayısal Çözümleme, DEU. Müh. Yay., Izmir
2. Johnson, L. W. and Riess, R. D., 1982, Numerical Analysis, 2nd Edition, Addison
Wesley, New York.
3. Buchanan, J. L. And Turner, P. R., 1992,Numerical Methods and Analysis, McGraw-Hill,
New York,.

#### Planned Learning Activities and Teaching Methods

Lectures and examples in the class

#### Assessment Methods

 SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE1 MIDTERM EXAM 1 2 MTE2 MIDTERM EXAM 2 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE1 * 0.25 + MTE2 * 0.25 + FIN * 0.50 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE1 * 0.25 + MTE2 * 0.25 + RST * 0.50

None

#### Assessment Criteria

Course outcomes 1 , 2, 3 and 4 will be checked by the 1.th Mid-term exam,
Course outcomes 5 and 6 will be checked by the 21.th Mid-term exam,
Course outcomes 7 and 1-6 will be checked by the Final exam
questions.

English

To be announced.

#### Contact Details for the Lecturer(s)

suleyman.safak@deu.edu.tr Phone: 3017527

#### Office Hours

Thursday, Time: 09.00 to 16:00

None