Mathematics

The foundation of all academic disciplines

49 posts

Subtags

Calculus 16 Differential Geometry 4 Linear Algebra 4 Number Theory 1 Statistics 23 Topology 1

2025

• [Calculus 4.1] Riemann Sums and Definite Integrals 17 Dec
• [Calculus 3.8] Antiderivatives and Indefinite Integrals 30 Nov
• [Calculus 3.7] Convexity of a Function and the Second Derivative Test 29 Nov
• [Calculus 3.6] Monotonic Functions and the First Derivative Test 28 Nov
• [Calculus 3.5] The Mean Value Theorem 27 Nov
• [Statistics 5.4] Convergence Concepts in Statistics 12 Sep
• [Statistics 5.3] Order Statistics 06 Aug
• [Statistics 5.2] Sampling from the Normal Distribution 05 Aug
• [Statistics 5.1] Random Samples and the Statistics 05 Aug
• [Statistics 4.6] Probabilistic Inequalities 03 Aug
• [Calculus 3.4] Extreme Values of Functions 01 Aug
• [Calculus 3.3] The Chain Rule (univariate) 29 Jul
• [Statistics 4.5] Covariance and Correlation 29 Jul
• [Calculus 3.2] Linearization and Differentials 28 Jul
• [Statistics 4.4] Hierarchical Models and Mixture Distributions 28 Jul
• [Statistics 4.3] Multivariate Transformations 27 Jul
• [Statistics 4.2] Conditional Distributions and Independence 27 Jul
• [Statistics 4.1] Joint and Marginal Distributions 24 Jul
• [Calculus 3.1] The Derivative of a Function 21 Jul
• [Statistics 3.4] Probability Inequalities & Identities 20 Jul
• [Statistics 3.3] Location and Scale Families 20 Jul
• [Statistics 3.2] Exponential Families 07 Jul
• [Statistics 3.1] Common Discrete and Continuous Distributions 04 Jul
• [Statistics 2.4] Skewness and Kurtosis 02 Jul
• [Statistics 2.3] Moments and Moment Generating Functions 01 Jul
• [Statistics 2.2] Expected Values 01 Jul
• [Calculus 2.4] Limits Involving Infinity 25 Jun
• [Statistics 2.1] Distributions of Functions of a Random Variable 25 Jun
• [Statistics 1.5] Density and Mass Functions 25 Jun
• [Statistics 1.4] Random Variables and Distribution Functions 24 Jun
• [Statistics 1.3] Conditional Probability and Independence 24 Jun
• [Statistics 1.2] Basic Probability Theory 23 Jun
• [Calculus 2.3] Continuity 26 May
• [Calculus 2.2] One-Sided Limits 22 May
• [Calculus 2.1] A Limit of a Function 12 May
• [Calculus 1.3] Periodic and Trigonometric Functions 30 Apr
• [Calculus 1.2] Combining Functions 30 Apr
• [Statistics 1.1] Set Theory for Statistics 18 Apr
• [Calculus 1.1] Functions and Their Graphs 15 Apr

2024

• [Number Theory 1.1] Defining the Natural Numbers; Peano's Axioms 28 Mar

2023

• [Differential Geometry 1.4] Differentiable Map and Diffeomorphism 09 Feb
• [Differential Geometry 1.3] Differentiable Manifold 08 Feb
• [Differential Geometry 1.2] Chart, Parametrization and Atlas 07 Feb
• [Differential Geometry 1.1] Topological Manifold 06 Feb
• [Topology 1.1] Topological Space 05 Feb
• [Linear Algebra 1.4] Basis and Dimension 04 Feb
• [Linear Algebra 1.3] Linear Subspace and Span 03 Feb
• [Linear Algebra 1.2] Linear Independence 02 Feb
• [Linear Algebra 1.1] Vector Space 01 Feb

2023

• [Linear Algebra 1.1] Vector Space 01 Feb
• [Linear Algebra 1.2] Linear Independence 02 Feb
• [Linear Algebra 1.3] Linear Subspace and Span 03 Feb
• [Linear Algebra 1.4] Basis and Dimension 04 Feb
• [Topology 1.1] Topological Space 05 Feb
• [Differential Geometry 1.1] Topological Manifold 06 Feb
• [Differential Geometry 1.2] Chart, Parametrization and Atlas 07 Feb
• [Differential Geometry 1.3] Differentiable Manifold 08 Feb
• [Differential Geometry 1.4] Differentiable Map and Diffeomorphism 09 Feb

2024

• [Number Theory 1.1] Defining the Natural Numbers; Peano's Axioms 28 Mar

2025

• [Calculus 1.1] Functions and Their Graphs 15 Apr
• [Statistics 1.1] Set Theory for Statistics 18 Apr
• [Calculus 1.2] Combining Functions 30 Apr
• [Calculus 1.3] Periodic and Trigonometric Functions 30 Apr
• [Calculus 2.1] A Limit of a Function 12 May
• [Calculus 2.2] One-Sided Limits 22 May
• [Calculus 2.3] Continuity 26 May
• [Statistics 1.2] Basic Probability Theory 23 Jun
• [Statistics 1.3] Conditional Probability and Independence 24 Jun
• [Statistics 1.4] Random Variables and Distribution Functions 24 Jun
• [Statistics 1.5] Density and Mass Functions 25 Jun
• [Statistics 2.1] Distributions of Functions of a Random Variable 25 Jun
• [Calculus 2.4] Limits Involving Infinity 25 Jun
• [Statistics 2.2] Expected Values 01 Jul
• [Statistics 2.3] Moments and Moment Generating Functions 01 Jul
• [Statistics 2.4] Skewness and Kurtosis 02 Jul
• [Statistics 3.1] Common Discrete and Continuous Distributions 04 Jul
• [Statistics 3.2] Exponential Families 07 Jul
• [Statistics 3.3] Location and Scale Families 20 Jul
• [Statistics 3.4] Probability Inequalities & Identities 20 Jul
• [Calculus 3.1] The Derivative of a Function 21 Jul
• [Statistics 4.1] Joint and Marginal Distributions 24 Jul
• [Statistics 4.2] Conditional Distributions and Independence 27 Jul
• [Statistics 4.3] Multivariate Transformations 27 Jul
• [Statistics 4.4] Hierarchical Models and Mixture Distributions 28 Jul
• [Calculus 3.2] Linearization and Differentials 28 Jul
• [Statistics 4.5] Covariance and Correlation 29 Jul
• [Calculus 3.3] The Chain Rule (univariate) 29 Jul
• [Calculus 3.4] Extreme Values of Functions 01 Aug
• [Statistics 4.6] Probabilistic Inequalities 03 Aug
• [Statistics 5.1] Random Samples and the Statistics 05 Aug
• [Statistics 5.2] Sampling from the Normal Distribution 05 Aug
• [Statistics 5.3] Order Statistics 06 Aug
• [Statistics 5.4] Convergence Concepts in Statistics 12 Sep
• [Calculus 3.5] The Mean Value Theorem 27 Nov
• [Calculus 3.6] Monotonic Functions and the First Derivative Test 28 Nov
• [Calculus 3.7] Convexity of a Function and the Second Derivative Test 29 Nov
• [Calculus 3.8] Antiderivatives and Indefinite Integrals 30 Nov
• [Calculus 4.1] Riemann Sums and Definite Integrals 17 Dec