Approximation Theory is the study of how functions can be best approximated with simpler functions, and how to quantify the errors introduced in the process. It is fundamental in numerical analysis and plays a crucial role in fields like data science, engineering, and computer graphics where exact solutions are either impossible or impractical.

Approximation Theory

best approximated with simpler functions

quantify the errors

Numerical analysis is a branch of mathematics that focuses on the development and implementation of algorithms to obtain numerical solutions to mathematical problems that are often too complex for analytical solutions. It is essential in scientific computing, enabling the approximation of solutions for differential equations, optimization problems, and other mathematical models across various fields.

numerical analysis

Data Science is an interdisciplinary field that uses scientific methods, processes, algorithms, and systems to extract knowledge and insights from structured and unstructured data. It combines skills from statistics, computer science, and domain expertise to analyze and interpret complex data.

data science

Engineering is the application of scientific and mathematical principles to design, build, and analyze structures, machines, and systems, aiming to solve real-world problems efficiently and sustainably. It encompasses a wide range of specialized fields that address various aspects of technology and innovation, driving progress in industries and improving quality of life.

engineering

Computer graphics is the field of computer science that focuses on generating and manipulating visual content using computational techniques. It encompasses a range of applications from video games and simulations to user interface design and virtual reality, relying on both hardware and software to render and display images efficiently.

computer graphics

Exact solutions refer to precise and analytical solutions to mathematical problems or equations, without approximations or numerical methods. They are crucial in understanding the underlying mechanics of complex systems, providing insights that are often not evident through numerical simulations alone.

Relevant Degrees

Your Lessons