blackpenredpen Courses

Applications of Differential Equations - Calculus 2

1 review

Explore practical applications of differential equations in finance, forensics, biology, and engineering through engaging examples and problem-solving techniques.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Ultimate Integral Starter - U-Substitution, Integration by Parts, Trig Sub, Partial Fractions & More

1 review

Comprehensive guide to advanced integration techniques, covering u-substitution, integration by parts, trigonometric substitution, partial fractions, and more. Includes 50 example problems and personal anecdotes.

• YouTube
• 5 hours 57 minutes
• On-Demand
• Free Video

Number Theory Math for Fun

1 review

Explore number theory concepts through engaging proofs, puzzles, and problems, from classic irrationality demonstrations to modular arithmetic and prime numbers.

• YouTube
• 14 hours
• On-Demand
• Free Video

System of Differential Equations by the Elimination Method

Learn to solve systems of differential equations using the elimination method, covering D notation, undetermined coefficients, and various examples with different complexities.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Laplace Transform

Comprehensive exploration of Laplace transforms, covering definitions, techniques, and applications for various functions, including exponential orders and piecewise functions.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

Properties of Laplace Transform

Explore key properties of Laplace Transform, including translation theorems, derivatives, and special functions, with practical examples and efficient problem-solving techniques.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Inverse Laplace Transform

Learn to solve inverse Laplace transform problems using various techniques, including partial fractions and completing the square, with multiple examples and practice problems.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Unit Step Functions and Translation in T

Explore unit step functions, translation, and Laplace transforms in this comprehensive tutorial covering key concepts and practical applications in differential equations.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Laplace Transform of Discontinuous Functions

Explore Laplace transforms of discontinuous functions, including unit step and shifted unit step functions, with applications to differential equations and inverse transforms.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Solve Differential Equations with Laplace Transform

Learn to solve differential equations using Laplace transforms, focusing on second-order linear equations and practical examples from Nagle's Section 7.5.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Convolution and Laplace Transform

Explore convolution theorem, Laplace transforms, and inverse Laplace transforms with practical examples and proofs for a comprehensive understanding of these mathematical concepts.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Power Series Review

Comprehensive review of power series convergence, covering radius and interval calculations using ratio test with multiple examples and tan(x) expansion.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Big Integrals - No Shortcuts

Comprehensive exploration of complex integration techniques, covering a wide range of challenging integrals without relying on shortcuts or simplifications.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

Calculus - Integration by Parts

Comprehensive tutorial on integration by parts, covering various techniques and examples to master this calculus concept.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Calculus - Trigonometric Integrals, Stewart Calculus Solution, 7th ET Edition

Comprehensive exploration of trigonometric integrals, covering various techniques and complex problems to enhance calculus skills and understanding.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video