General Linear Models - Background Material
Comprehensive exploration of statistical concepts and matrix algebra, covering distributions, quadratic forms, projection matrices, and advanced matrix operations for linear modeling.
Linear Algebra
Explore scalars, vectors, and their practical applications in machine learning, including vector addition techniques.
Homogeneous Second-Order Linear Differential Equations
Explore second-order linear differential equations, covering auxiliary equations, reduction of orders, and linear dependence/independence of functions in this comprehensive tutorial.
Laplace Transform
Comprehensive exploration of Laplace transforms, covering definitions, techniques, and applications for various functions, including exponential orders and piecewise functions.
Factoring
Comprehensive review of polynomial factoring techniques, covering various problem types and difficulty levels for high school math students.
Quadratics
Comprehensive review of quadratic equations, covering solving methods, factoring, and the quadratic formula. Ideal for Math 20-1 students seeking to strengthen their understanding and problem-solving skills.
Systems of Equations and Inequations
Comprehensive exploration of linear systems, covering solutions, substitution, elimination, and graphing methods. Includes extensive practice problems for mastery.
Permutations, Combinations and Binomial Theorem
Master fundamental counting principles, permutations, combinations, and the binomial theorem. Gain problem-solving skills through extensive practice with varied examples and review questions.
Rational Functions
Comprehensive exploration of rational functions, covering simplification, operations, equations, word problems, and graphing. Ideal for Math 30-2 students seeking in-depth understanding and practice.
Complex Analysis
Explore imaginary and complex numbers, their definitions, and algebraic properties in this comprehensive introduction to the foundations of complex analysis.
Intermediate Algebra - Full Length Videos
Comprehensive video series covering intermediate algebra topics, from factoring and rational expressions to quadratic equations and conic sections, with in-depth explanations and problem-solving techniques.
Prealgebra
Comprehensive video series covering prealgebra fundamentals, from number operations to polynomial basics. Ideal for building a strong foundation in essential mathematical concepts.
Intermediate Algebra Playlist 2
Comprehensive video series covering advanced algebraic concepts, from solving equations to conic sections. Ideal for learners seeking to strengthen their mathematical foundation and problem-solving skills.
Evaluating Limits Algebraically
Learn advanced techniques for evaluating complex limits algebraically, including factoring, expanding powers, and using conjugates to simplify expressions.
Graph, Limits, & Continuity
Explore limits, continuity, and the Intermediate Value Theorem. Learn to find function domains for rational, square root, and logarithmic functions through practical examples.
Definition of Derivative
Explore the definition of derivatives using limits, with examples including rational functions, square roots, and applications in physics.
Chain Rule
Learn to apply the chain rule for complex derivative problems, including exponential, trigonometric, and algebraic functions.
L'Hospital's Rule - Calculus
Comprehensive guide to L'Hospital's Rule in calculus, covering various limit problems and applications. Includes examples from James Stewart's textbook and explores common pitfalls and special cases.
Calculus 3
Comprehensive exploration of advanced calculus concepts, covering 3D space, vectors, multivariable functions, integration techniques, and theorems with practical applications and visualizations.
Stewart Calculus - Vectors
Comprehensive exploration of 3D vectors, covering distance formulas, unit vectors, parallel vectors, dot products, and applications in physics and geometry.
Differential Equations
Comprehensive exploration of differential equations, covering linear, exact, and homogeneous types, applications, solution methods, and advanced topics like Laplace transforms and linear systems.