Applied Mathematics

Applied mathematics guides covering single and multivariable calculus, ordinary and partial differential equations, linear algebra, probability theory, statistical methods, and mathematical modeling.

Learning Path — 18 articles

1 Calculus Basics Guide: Limits, Derivatives, and Integrals Learn calculus fundamentals — limits, derivatives, integrals, the Fundamental Theorem, and real-world applications … 11 min Start Here 2 Multivariable Calculus: Functions of Several Variables Multivariable Calculus: Functions of Several Variables. Discover the principles and practices of multivariable calculus … 9 min Start Here 3 Ordinary Differential Equations: Concepts and Solution Methods Ordinary Differential Equations: Concepts and Solution Methods. A practical guide to ordinary differential equations, … 9 min Start Here 4 Partial Differential Equations: Heat, Wave, and Laplace Equations Explore partial differential equations — classification, solution methods for heat, wave, and Laplace equations, … 9 min 5 Applied Linear Algebra: Vectors, Matrices, and Transformations Applied Linear Algebra: Vectors, Matrices, and Transformations. An accessible introduction to linear algebra applied, … 9 min 6 Probability Theory Guide: Foundations of Randomness Probability Theory Guide: Foundations of Randomness. Build your understanding of probability theory guide with clear … 8 min 7 Statistics Guide: Data Analysis and Inference Methods Statistics Guide: Data Analysis and Inference Methods. Understand the essentials of statistics guide — from foundational … 10 min 8 Numerical Analysis: Algorithms for Approximate Solutions Numerical Analysis: Algorithms for Approximate Solutions. Understand the essentials of numerical analysis — from … 9 min 9 Mathematical Modeling: Building Predictive Frameworks Mathematical Modeling: Building Predictive Frameworks. Learn what you need to know about mathematical modeling: core … 9 min 10 Optimization Theory: Finding Optimal Solutions Optimization Theory: Finding Optimal Solutions. Everything you need to get started with optimization theory, explained … 9 min 11 Fourier Analysis: Decomposing Signals into Frequencies Fourier Analysis: Decomposing Signals into Frequencies. Discover the principles and practices of fourier analysis in … 8 min 12 Vector Calculus: Fields, Flux, and Circulation Vector Calculus: Fields, Flux, and Circulation. Understand the essentials of vector calculus — from foundational ideas … 9 min 13 Linear Programming: Optimizing with Linear Constraints Linear Programming: Optimizing with Linear Constraints. Understand the essentials of linear programming — from … 10 min 14 Differential Equations in Modeling: Real-World Dynamics Differential Equations in Modeling: Real-World Dynamics. A practical guide to differential equations modeling, covering … 9 min 15 Computational Mathematics: Algorithms for Scientific Computing Computational Mathematics: Algorithms for Scientific Computing. A practical guide to computational mathematics, covering … 9 min 16 Game Theory Guide: Strategic Decision Making Game Theory Guide: Strategic Decision Making. Understand the essentials of game theory guide — from foundational ideas … 9 min Advanced 17 Information Theory: Entropy, Compression, and Communication Information Theory: Entropy, Compression, and Communication. Discover the principles and practices of information theory … 9 min Advanced 18 Data Science Mathematics: Foundations for Analytics Data Science Mathematics: Foundations for Analytics. A straightforward look at data science mathematics, covering what … 8 min Advanced