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• Introduccion
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• Curriculum
• License

The OSSU curriculum is a complete education in mathematics using online materials. It's for those who want a proper grounding in concepts fundamental to all math disciplines, and for those who have the discipline, will, and good habits to obtain this education largely on their own, but with support from a worldwide community of fellow learners.

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• Bases

Most people's views of mathematics are destroyed in school by focusing on memorization and regurgitation. But mathematicians see math as an elegant way to explain the world around us. This class covers how to think like a mathematician and solve problems.

Topics covered: Mathematical mindset Number Theory

Courses || Prerequisites :-- | :--: Introduction to Mathematical Thinking | none

Discrete mathematics is the mathematics of objects and ideas. It includes topics such as combinatorics, graph theory, and logic. The topics discussed here also form the basis of the field of computer science. For mathematics majors, a discrete math course is usually also a first introduction to formal proofs.

Topics covered: Counting Grouping Classifying Logic and Reasoning

Linear algebra is the mathematics of spatial relationships that deals with the manipulation of vectors and matrices. It provides an elegant way to consider many simultaneous equations, visualize arbitrarily-many dimensions, and explain complex phenomena in simple terms.

Topics covered: Vector and matrix calculations Linear transformations Vector spaces Eigenvalues and Eigenvectors

Probability is the mathematics of uncertainty. Statistics is the mathematical framework for quantifying uncertainty in real-world data. These two related but distinct fields of study help us describe variation and uncertainty in the world around us. These courses make heavy use of discrete mathematics, linear algebra, and calculus, and serve as a first opportunity to apply what you've learned in the other core courses.

Topics covered: Random variables Expectation and Variance Probability Distributions

Analysis is the mathematics of sequences and limits. Intro to Analysis is a course that builds on the concepts of Calculus and provides a rigorous and formalized study of the foundations of Calculus. This course will use formal proofs to establish mathematical results, starting by proving the existence of real numbers and building the foundation of single-variable Calculus from scratch.

Topics covered: Proofs Real analysis

Abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. Abstract algebra was coined in the early 20th century to distinguish this area of study from older parts of algebra, more specifically from elementary algebra, using variables to represent numbers in computation and reasoning.

Topics covered: Group Theory Rings and fields

Combinatorics, probability, statistics, game theory, applied stats

Real analysis, numerical analysis, complex analysis, optimization theory

Abstract algebra, category theory, algebraic geometry and topology

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