Mathematics Courses and Certifications

Professor Leonard

Reducible Second Order Differential Equations, Missing X

Learn techniques for solving second order differential equations missing the 'X' variable through order reduction and substitution, with detailed examples and practice problems.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Professor Leonard

Reducible Second Order Differential Equations, Missing Y

Learn to solve reducible second-order differential equations through substitution when the "y" variable is missing, with clear examples and step-by-step explanations.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Professor Leonard

Special Integration in a Linear Differential Equation Problem

Learn advanced techniques for solving complex linear first-order differential equations, including product rule, substitutions, long division, and integrated factor methods.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Professor Leonard

Introduction to Slope Fields

Explore slope fields in differential equations through constructive methods and hands-on computer graphing applications for a deeper understanding of their functionality.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

Professor Leonard

Problem Solving with Velocity and Acceleration - Differential Equations 8

Explore velocity and acceleration problem-solving using differential equations and integrals, with numerous practical examples to enhance understanding and application.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Professor Leonard

Solving Linear Equations

Learn to simplify and solve linear equations step-by-step, focusing on techniques to isolate variables and combine like terms for effective problem-solving.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Professor Leonard

Introduction to Linear Equations

Learn the fundamental concepts and properties of linear equations, including standard form and solving techniques, with clear explanations and examples.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Professor Leonard

Intermediate Algebra - Graphing and Solving Exponential Functions

Learn to graph and solve exponential functions, including applications in compound interest and rate problems, in this comprehensive lecture.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Professor Leonard

Intermediate Algebra Lecture - An Introduction to Inverse Functions

Explore one-to-one functions, inverse functions, and function composition in this comprehensive lecture on advanced algebraic concepts.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Professor Leonard

Intermediate Algebra Lecture - An Introduction to Direct and Inverse Variation

Explore direct and inverse variation concepts, learn to set equations, and solve practical problems in this comprehensive algebra lecture.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Professor Leonard

Intermediate Algebra Lecture - Study of Piecewise Functions and Basic Translations of Graphs

Explore piecewise functions, graph translations, and nonlinear functions. Master vertical line test and basic graph shapes for a deeper understanding of intermediate algebra concepts.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Professor Leonard

Intermediate Algebra Lecture - A Brief Review of Graphing

Comprehensive review of graphing fundamentals, covering coordinate systems, linear equations, and key concepts like intercepts and slope-intercept form.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Professor Leonard

Prealgebra Lecture - Introductions to Decimal Numbers

Explore decimal numbers, place value, comparison, ordering, and rounding in this comprehensive lecture, building a strong foundation for pre-algebra concepts.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Professor Leonard

Prealgebra Lecture - An Introduction to Variables and Algebraic Expressions

Explore variables and algebraic expressions, learning to evaluate equations and solve word problems in this comprehensive introduction to prealgebra concepts.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Professor Leonard

Intermediate Algebra Lecture - Studying Common and Natural Logarithms

Explore common and natural logarithms, including their applications in the Richter scale and principles of natural logs, with a focus on Euler's number and change of base.

• YouTube
• 51 minutes
• Self-Paced
• Free Video