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LearnFlat · Foundations & Lifelong Academics

Mathematics

Covers mathematical concepts from basic arithmetic and algebra to advanced topics like calculus, linear algebra, and differential equations.

10 subcategories · 604 courses total

Explore the properties of shapes, lines, and angles in two and three dimensions. Develop logical reasoning through geometric proofs and constructions.

Understand the mathematics of change through limits, derivatives, and integrals. Apply calculus to solve problems in physics, engineering, and economics.

Multivariable Calculus

Extend the concepts of calculus to functions of multiple variables. Learn about partial derivatives, multiple integrals, and vector calculus.

Master the study of vectors, matrices, and systems of linear equations. This is a crucial foundation for data science, machine learning, and computer graphics.

Study the relationships between angles and side lengths of triangles. Master trigonometric functions like sine, cosine, and tangent and their applications.

Learn to solve linear and quadratic equations, work with polynomials and functions, and understand the core principles of algebraic manipulation.

Discrete Mathematics

Explore the mathematical structures that are fundamentally discrete rather than continuous. Covers logic, set theory, graph theory, and combinatorics, essential for computer science.

Master the fundamentals of arithmetic, including fractions, decimals, percentages, and basic number theory, to build a strong foundation for algebra.

Differential Equations

Learn to model and solve equations that describe rates of change. Essential for physics, engineering, biology, and finance.

Probability & Statistics

Learn to analyze and interpret data, understand randomness, and make predictions. Covers key concepts like probability distributions, hypothesis testing, and regression.