COMPUTER ENGINEERING (ENGLISH)
Qualification Awarded Program Süresi Toplam Kredi (AKTS) Öğretim Şekli Yeterliliğin Düzeyi ve Öğrenme Alanı
4 240 FULL TIME TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6
QF-EHEA:First Cycle
TR-NQF-HE, ISCED (1997-2013): 48,52

Ders Genel Tanıtım Bilgileri

Course Code: 1400221016
Ders İsmi: Numerical Methods
Ders Yarıyılı: Spring
Ders Kredileri:
Theoretical Practical Labs Credit ECTS
3 0 0 3 7
Language of instruction: EN
Ders Koşulu:
Ders İş Deneyimini Gerektiriyor mu?: No
Other Recommended Topics for the Course:
Type of course: Necessary
Course Level:
Bachelor TR-NQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Mode of Delivery: Face to face
Course Coordinator : Dr.Öğr.Üyesi Recep DURANAY
Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives: This course offers a foundational exploration of numerical analysis tailored for
engineers. Through a rich array of examples, problems, and computer-based
exercises in MATLAB and Python, students will hone both theoretical
understanding and practical application of numerical methods. Emphasizing
comprehension of the underlying principles, the course strikes a balance between
theory, error analysis, and clarity.
Course Content: This course offers a foundational exploration of numerical analysis tailored for
engineers. Through a rich array of examples, problems, and computer-based
exercises in MATLAB and Python, students will hone both theoretical
understanding and practical application of numerical methods. Emphasizing
comprehension of the underlying principles, the course strikes a balance between
theory, error analysis, and clarity.

Learning Outcomes

The students who have succeeded in this course;
Learning Outcomes
1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week Subject Related Preparation
1) Preliminaries: Review of Calculus, Binary Numbers, Error Analysis John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
2) Solution of Nonlinear Equations: Iteration for Solving x=g(x), Bracketing Methods for Locating a RootBisection Methods, Initial Approximation and Convergence Criteria, Newton Raphson and Secant Methods John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
3) Solution of Linear Systems AX=B: Introduction to Vectors and Matrices, Properties of Vector and Matrices, Upper-Triangular Linear Systems, Gaussian Elimination and Pivoting, Triangular Factorization, Iterative Methods for Linear Systems John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
4) Solution of Linear Systems AX=B: Introduction to Vectors and Matrices, Properties of Vector and Matrices, Upper-Triangular Linear Systems, Gaussian Elimination and Pivoting, Triangular Factorization, Iterative Methods for Linear Systems John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
5) Interpolation and Polynomial Approximation: Taylor Series and Calculation of Functions, Introduction to Interpolation, Lagrange Approximation, Newton Polynomials John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
6) Interpolation and Polynomial Approximation: Taylor Series and Calculation of Functions, Introduction to Interpolation, Lagrange Approximation, Newton Polynomials John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
7) Curve Fitting: LeastSquares Line, Methods of Curve Fitting John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
8) Midterm exam
9) Numerical Differentiation: Approximating the Derivative, Numerical Differential Formulas John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
10) Numerical Integration: Introduction to Quadrature, Composite Trapezoidal and Simpson’s rule, Recursive Rules and Romberg Integration, Adaptive Quadrature John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
11) Numerical Integration: Introduction to Quadrature, Composite Trapezoidal and Simpson’s rule, Recursive Rules and Romberg Integration, Adaptive Quadrature John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
12) Numerical Optimization: Minimization of a Function of One Variable, Melder-Mead and Powell’s Methods, Gradient and Newton Methods John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
13) Solution of Differential Equations: Euler’s method, Taylor Series Method, Runge-Kutta Methods, PredictorCorrector Methods John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
14) Solution of Differential Equations: Euler’s method, Taylor Series Method, Runge-Kutta Methods, PredictorCorrector Methods John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
15) Eigenvalues and Eigenvectors: Homogenous Systems: Eigenvalue Problem, Power Method, Jacobi’s Methods, Eigenvalues of Symmetric Matrices John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth Edition, PEARSON 2004. C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB Edition, Second Edition, Springer 1997.
16) Final exam

Sources

Course Notes / Textbooks: John H. Mathews, Kurtis D. Fink, Numerical Methods using MATLAB, Fourth
Edition, PEARSON 2004.
C. Woodford, C. Phillips Numerical Methods with Worked Examples: MATLAB
Edition, Second Edition, Springer 1997.
References:

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları
Program Outcomes
1) 1.1 Sufficient knowledge of subjects such as mathematics and science
2) 1.2 Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems.
3) 1.3 Ability to use theoretical and applied knowledge in fields such as mathematics and science in complex engineering problems.
4) 2.1 Ability to identify, define, formulate and solve complex engineering problems
5) 2.2 Ability to select and apply appropriate analysis and modeling methods for this purpose
6) 3.1 Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions
7) 3.2 Ability to apply modern design methods for this purpose
8) 4.1 Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
9) 4.2 Ability to use information technologies effectively
10) 5.1 Ability to design experiments to examine complex engineering problems or discipline-specific research issues
11) 5.2 Ability to conduct experiments to examine complex engineering problems or discipline-specific research topics
12) 5.3 Ability to collect data to examine complex engineering problems or discipline-specific research topics
13) 5.4 Ability to analyze and interpret experimental results for the study of complex engineering problems or discipline-specific research issues
14) 6.1 Ability to work individually within the discipline
15) 6.2 Ability to work effectively in interdisciplinary teams
16) 6.3 Ability to work effectively in multidisciplinary teams
17) 7.1 Ability to communicate effectively and make presentations both verbally and in Turkish
18) 7.2 Knowledge of at least one foreign language
19) 7.3 Ability to write effective reports and understand written reports
20) 7.4 Ability to prepare design and production reports
21) 7.5 Ability to give and receive clear and understandable instructions
22) 8.1 Awareness of the necessity of lifelong learning
23) 8.2 The ability to access information, follow developments in science and technology and constantly renew oneself
24) 9.1 Acting in accordance with ethical principles, awareness of professional and ethical responsibility
25) 9.2 Information about standards used in engineering applications
26) 10.2 Girişimcilik, yenilikçilik hakkında farkındalık
27) 10.2 Awareness about entrepreneurship, innovation
28) 10.3 Information about sustainable development
29) 11.1 Information about the effects of engineering practices on health, environment and security at universal and social dimensions and the problems of the age reflected in the field of engineering
30) 11.2 Awareness of the legal consequences of engineering solutions
31) 12.1 Having knowledge about discrete mathematics

Ders - Öğrenme Kazanımı İlişkisi

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) 1.1 Sufficient knowledge of subjects such as mathematics and science
2) 1.2 Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems.
3) 1.3 Ability to use theoretical and applied knowledge in fields such as mathematics and science in complex engineering problems.
4) 2.1 Ability to identify, define, formulate and solve complex engineering problems
5) 2.2 Ability to select and apply appropriate analysis and modeling methods for this purpose
6) 3.1 Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions
7) 3.2 Ability to apply modern design methods for this purpose
8) 4.1 Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
9) 4.2 Ability to use information technologies effectively
10) 5.1 Ability to design experiments to examine complex engineering problems or discipline-specific research issues
11) 5.2 Ability to conduct experiments to examine complex engineering problems or discipline-specific research topics
12) 5.3 Ability to collect data to examine complex engineering problems or discipline-specific research topics
13) 5.4 Ability to analyze and interpret experimental results for the study of complex engineering problems or discipline-specific research issues
14) 6.1 Ability to work individually within the discipline
15) 6.2 Ability to work effectively in interdisciplinary teams
16) 6.3 Ability to work effectively in multidisciplinary teams
17) 7.1 Ability to communicate effectively and make presentations both verbally and in Turkish
18) 7.2 Knowledge of at least one foreign language
19) 7.3 Ability to write effective reports and understand written reports
20) 7.4 Ability to prepare design and production reports
21) 7.5 Ability to give and receive clear and understandable instructions
22) 8.1 Awareness of the necessity of lifelong learning
23) 8.2 The ability to access information, follow developments in science and technology and constantly renew oneself
24) 9.1 Acting in accordance with ethical principles, awareness of professional and ethical responsibility
25) 9.2 Information about standards used in engineering applications
26) 10.2 Girişimcilik, yenilikçilik hakkında farkındalık
27) 10.2 Awareness about entrepreneurship, innovation
28) 10.3 Information about sustainable development
29) 11.1 Information about the effects of engineering practices on health, environment and security at universal and social dimensions and the problems of the age reflected in the field of engineering
30) 11.2 Awareness of the legal consequences of engineering solutions
31) 12.1 Having knowledge about discrete mathematics

Öğrenme Etkinliği ve Öğretme Yöntemleri

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
total %
PERCENTAGE OF SEMESTER WORK % 0
PERCENTAGE OF FINAL WORK %
total %