algebra
Algebra is a fundamental branch of mathematics that studies symbols, variables, and the rules for manipulating them to describe relationships and solve equations. It provides a structured language for expressing patterns, generalizing numerical operations, and modeling real-world phenomena. From simple linear equations to complex abstract structures like groups and rings, algebra forms the foundation of many mathematical disciplines and applications. Its concepts play a crucial role in fields such as computer science, physics, engineering, and economics, enabling logical reasoning, problem-solving, and the development of powerful analytical tools.
- APMA 2550: Finite Difference SchemesThe course intended for students who desire a rigorous development of the mathematical foundations of the methods used. This course provides further techniques of ordinary and partial differential equations, which are not covered by APMA 0330 and are of great importance in practice. Here are the main topics to be covered (syllabus): Topics from matrix algebra. Systems of linear ordinary differenti...
- APMA 0340: Methods of Applied Mathematics - IIThe course intended for students who desire a rigorous development of the mathematical foundations of the methods used. This course provides further techniques of ordinary and partial differential equations, which are not covered by APMA 0330 and are of great importance in practice. Here are the main topics to be covered (syllabus): Topics from matrix algebra. Systems of linear ordinary differenti...
- Computing InformationThe following links will lead you to applications of differential equations using particular software It should be pointed out from the very beginning that any software is only a tool. As a very important tool, it is more useful if its user has thought through the details of the task for which the tool is designed. Once you have learned the concepts behind the differential equations (which is the ...
- Linear Algebra with MathematicaThis website provides two things: One is comprised of equations and proofs which together constitute the bedrock of mathematics. The other is Wolfram software code which automates processing and reduces the tedium of solving many mathematical problems. The second, and the use of computers in general, must be viewed as a "black box" which may be specifically and completely understood only in terms ...
- Computational Linear AlgebraThe cybernetic revolution that occured on the eve of twenty-one century effected our life in all demeanors. The collection, organization, transformation, and interpretation of information are the cornerstones of science, inductry, business, and goverment. Each of these aspects of information management uses mathematics as a tool. Linear algebra has undergone a real metamorphosis during this centur...
- APMA FundamentalsThe cybernetic revolution that began on the eve of twenty-first century effected our life in all dimensions. The collection, organization, transformation, and interpretation of information are cornerstones of science, industry, business, and government. Each aspect of information management uses mathematics as a tool. Applied Mathematics (APMA for short) has undergone a real metamorphosis during t...