Course Title:
Introduction to Numerical Analysis I.
Course Instructor:
Daniel B. Szyld
Instructor Email:
szyld@temple.edu
Course Materials:
Textbook: J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Third Edition.
Course website: https://faculty.cst.temple.edu/~szyld/Math5043
Course grading scheme:
40% homewrok and projects, 30% two (or three) exams, 30% cumulative final.
Course prerequisites:
Knowledge of MATLAB recommended
Course goals:
To gain an understanding of what numerical analysis and scientific computing is. To explore fundamental topics, so as to gain further understanding and be able to solve specific numerical problems. Floating point error analysis.
Topics covered:
Floating point arithmetic and error analysis. Approximation and interpolation of functions. Numerical Integration. Solution of nonlinear equations.
Exam dates:
Tentative exam dates: Thursday September 25, Thursday October 29, and Thursday November 20.
Final Exam: Tuesday 12/16, 1:00-3:00.
Attendance policy:
Attendance is mandatory. If you cannot make a class, please let me know (beforehand).
Technology Specifications for this Course:
There will be computer projects. MATLAB would be a possible language.
The course website is: https://faculty.cst.temple.edu/~szyld/Math5043
Introduction to Numerical Analysis I:
This is the first semester of a two-semester course which introduces the student to basic concepts in numerical analysis and scientific computing. In this discipline, algorithms for the solution of specific problems arising in science and engineering using computers are presented and analyzed. The goal is to learn algorithms which approximate the solutions, in other words, one wants to guarantee that the answer produced by the computer code resembles the true solution. At the same time, one wants to produce algorithms which converge to the solution in a reasonable amount of time.
Some of the specific methods which will be studied in this first semester include: Finding roots of non-linear equations. Approximation and interpolation of functions. Numerical integration.
In addition, we will study how computers store and manipulate data, so we can study how errors produced by the use of non-exact arithmetic are generated and propagated in the specific algorithms. Stability of the algorithms will be studied as well.
Course Extra
Title
Introduction to Numerical Analysis I
Description
This is the first semester of a two-semester course which introduces the student to basic concepts in numerical analysis and scientific computing. In this discipline, algorithms for the solution of specific problems arising in science and engineering using computers are presented and analyzed. The goal is to learn algorithms which approximate the solutions, in other words, one wants to guarantee that the answer produced by the computer code resembles the true solution. At the same time, one wants to produce algorithms which converge to the solution in a reasonable amount of time.
Some of the specific methods which will be studied in this first semester include: Finding roots of non-linear equations. Approximation and interpolation of functions. Numerical integration.
In addition, we will study how computers store and manipulate data, so we can study how errors produced by the use of non-exact arithmetic are generated and propagated in the specific algorithms. Stability of the algorithms will be studied as well.
Course title
Introduction to Numerical Analysis I.
Course materials
Textbook: J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Third Edition.
Course website: https://faculty.cst.temple.edu/~szyld/Math5043
Course grading scheme
40% homewrok and projects, 30% two (or three) exams, 30% cumulative final.
Course prerequisites
Knowledge of MATLAB recommended
Course goals
To gain an understanding of what numerical analysis and scientific computing is. To explore fundamental topics, so as to gain further understanding and be able to solve specific numerical problems. Floating point error analysis.
Description of topics covered
Floating point arithmetic and error analysis. Approximation and interpolation of functions. Numerical Integration. Solution of nonlinear equations.
Exam dates
Tentative exam dates: Thursday September 25, Thursday October 29, and Thursday November 20.
Final Exam: Tuesday 12/16, 1:00-3:00.
Attendance Policy
Attendance is mandatory. If you cannot make a class, please let me know (beforehand).
Technology Specifications for this Course
There will be computer projects. MATLAB would be a possible language.
The course website is: https://faculty.cst.temple.edu/~szyld/Math5043
Course Instructor
Daniel B. Szyld
Instructor Email
szyld@temple.edu