Course Details
Numerical methods
Academic Year 2023/24
HA52 course is part of 1 study plan
N-P-C-GK / GD Summer Semester 1st year
a) Development of errors in numerical calculations. Numerical solution of algebraic equations and their systems.
b) Direct and iterative methods of solution of linear algebraic equations. Eigennumbers and eigenvectors of matrices. Construction of inverse and pseudoinverse matrices.
c) Interpolation polynoms and splines. Approximation of functions using the least square method.
d) Numerical evaluation of derivatives and integrals. Numerical solution of selected differential equations.
b) Direct and iterative methods of solution of linear algebraic equations. Eigennumbers and eigenvectors of matrices. Construction of inverse and pseudoinverse matrices.
c) Interpolation polynoms and splines. Approximation of functions using the least square method.
d) Numerical evaluation of derivatives and integrals. Numerical solution of selected differential equations.
Course Guarantor
Institute
Objective
To understand fundamentals of numerical methods for the interpolation and approximation of functions and for the solution of algebraic and differential equations, reqiured in the technical practice.
Knowledge
Following the aim of the course, students will be able to apply numerical approaches to standard engineering problems.
Prerequisites
Basic knowledge of linear algebra and of differential and integral calculus of functions of one and more variables. Ability to study mathematical textbooks (no lectures are included).
Language of instruction
Czech
Credits
2 credits
Semester
summer
Forms and criteria of assessment
course-unit credit
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Offered to foreign students
Not to offer
Course on BUT site
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
1.-3. Development of errors in numerical calculations. Numerical solution of algebraic equations and their systems.
4.-6. Direct and iterative methods of solution of linear algebraic equations. Eigennumbers and eigenvectors of matrices. Construction of inverse and pseudoinverse matrices.
7.-9. Interpolation polynoms and splines. Approximation of functions using the least square method.
10.-12. Numerical evaluation of derivatives and integrals. Numerical solution of selected differential equations.
13. Conclusions, test.