Math Fundamentals Courses and Certifications

Professor Leonard

Calculus 1 - The Fundamental Theorem of Calculus

Comprehensive exploration of the Fundamental Theorem of Calculus, connecting differentiation and integration concepts for a deeper understanding of calculus principles.

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

Professor Leonard

Calculus 2 - Derivatives of Inverse Functions

Explore the concept of derivatives for inverse functions, learning techniques to calculate and apply them in various mathematical scenarios.

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

Professor Leonard

Calculus 1 - Area Under a Curve, Limit Approach, Riemann Sums

Explore area under curves using limit approaches and Riemann sums. Master fundamental calculus concepts for solving complex integration problems.

• YouTube
• 2 hours 7 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - The Evaluation of Definite Integrals

Learn to evaluate definite integrals, a crucial concept in calculus. Master techniques for solving complex mathematical problems and enhance your problem-solving skills.

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

Professor Leonard

Calculus 1 - An Introduction to the Indefinite Integral

Comprehensive exploration of indefinite integrals, covering fundamental concepts, techniques, and applications in calculus. Ideal for students seeking in-depth understanding of integration.

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

Professor Leonard

Calculus 1 - Integration by Substitution

Learn the powerful integration by substitution technique to solve complex integrals efficiently. Master this essential calculus skill through clear explanations and practical examples.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Optimization; Max/Min Application Problems

Learn to solve optimization problems and apply max/min techniques to real-world scenarios, enhancing your problem-solving skills in calculus.

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

Professor Leonard

Calculus 1 - How to Sketch Graphs of Functions

Learn techniques for accurately sketching function graphs, including analyzing domain, range, intercepts, symmetry, asymptotes, and critical points to visualize mathematical relationships.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Limits of Functions at Infinity

Explore the concept of limits as functions approach infinity, enhancing your understanding of calculus fundamentals and their applications in mathematical analysis.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - The Second Derivative Test for Concavity of Functions

Explore the Second Derivative Test to analyze function concavity, enhancing your understanding of calculus concepts and their practical applications in graphing and optimization.

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

Professor Leonard

Calculus 1 - The First Derivative Test for Increasing and Decreasing

Learn to determine where functions are increasing or decreasing using the first derivative test, a crucial skill for analyzing function behavior and finding extrema.

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

Professor Leonard

Calculus 1 - Increasing-Decreasing and Concavity of Functions

Explore increasing/decreasing intervals and function concavity in this comprehensive lecture, enhancing your understanding of calculus concepts and their applications.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Related Rates

Explore related rates in calculus, learning to analyze how different variables change in relation to each other over time. Enhance problem-solving skills for real-world applications.

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

Professor Leonard

Calculus 1 - Implicit Differentiation

Learn implicit differentiation techniques to solve complex calculus problems involving equations where y is not explicitly defined in terms of x.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Discussion of the Chain Rule for Derivatives of Functions

Comprehensive exploration of the Chain Rule, its applications, and problem-solving techniques for complex derivative calculations in calculus.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video