patrickJMT Courses

Physics

Comprehensive physics tutorials covering mechanics, thermodynamics, and electromagnetism, with practical examples and AP exam preparation.

• YouTube
• 8 hours
• Self-Paced
• Free Video

Rationalize the Denominator

Learn to simplify complex fractions by removing radicals from the denominator through step-by-step examples and challenging practice problems.

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

Integrals - Antiderivatives

Comprehensive exploration of integration techniques and applications, covering definite integrals, advanced methods, and practical uses in calculating areas, volumes, and arc lengths.

• YouTube
• 9 hours
• Self-Paced
• Free Video

Derivatives

Comprehensive exploration of derivative concepts, from basic rules to advanced applications in calculus, including product, quotient, and chain rules, implicit differentiation, and various function types.

• YouTube
• 8 hours
• Self-Paced
• Free Video

Markov Chain

Comprehensive exploration of Markov chains, covering transition diagrams, steady states, regular and absorbing chains, with applied problems and limiting matrices.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Game Theory

Explore optimal solutions in conflict situations through game theory, with applications in economics, sociology, and political science.

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

Graphing the Trigonometric Functions

Learn to graph trigonometric functions with shifts, stretches, and transformations. Master sine, cosine, cotangent, and cosecant graphs for pre-calculus and calculus courses.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Fourier Series

Explore fundamental concepts and calculations of Fourier Series, including orthogonal functions, coefficients, and function representation through series expansion.

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

Inverse Trigonometric Functions

Explore inverse trigonometric functions through a comprehensive introduction, evaluation techniques, and applications in right triangles and limits.

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