Math with Professor V Courses

Effective Rate of Interest and Finance Applications in Business Calculus - Part 2.6

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Master the calculation of effective interest rates through compound and continuous interest problems, while learning to determine present value and other practical financial applications.

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

Solving Integrals Using Weierstrass Substitution - Day 5

Master the Weierstrass Substitution technique for solving complex trigonometric integrals, focusing on the specific problem ∫ 1/(3-2sinx) dx with clear step-by-step guidance.

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

Solving the Integral ∫(x lnx)/(x²-1)^(1/2) dx - Day 4 of 13 Integrals

Master advanced integration techniques by solving a complex integral involving logarithms and square roots. Part of a 13-day series preparing for 2025 with clear, step-by-step explanations.

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

Solving Complex Integral (x^3-x)/(1+x^6) - Day 10 of 13

Master complex integral calculation techniques through a step-by-step solution of ∫(x^3-x)/(1+x^6)dx, perfect for advanced calculus students seeking to strengthen integration skills.

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

Integration of Natural Logarithm with Square Roots - Day 9 of 13

Master complex integration techniques through a detailed solution of the challenging integral ∫ ln(sqrt(x) + sqrt(1+x)) dx, featuring integration by parts and strategic substitution methods.

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

Integral Evaluation Using Trigonometric Substitution - Day 3

Master complex integration techniques by solving ∫ x^2 /(3 + 4x - 4x^2 )^(3/2) dx with detailed step-by-step guidance and expert explanations from an experienced mathematics educator.

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

Solving the Integral ∫1/(sinx+cosx)^2 dx - Countdown to 2025 Day 1

Master advanced integration techniques by solving ∫1/(sinx+cosx)^2 dx through two distinct methods, with clear step-by-step explanations and practical applications in calculus.

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

Differential Equations: Series Solutions About Ordinary Points

Explore series solutions to differential equations at ordinary points, including how to recognize ordinary points, set up power series solutions, and find recurrence relations when standard methods aren't sufficient.

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

Integral of the Day - Integration Challenge: Trig Identities Galore

Dive into a challenging integration problem requiring trigonometric substitution and multiple trig identities in this 17-minute tutorial with Professor V's step-by-step solution approach.

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

Differential Equations: Transforms of Derivatives, Convolution Theorem and More - Part 1

Master Laplace transforms of derivatives and the convolution theorem for solving differential equations. Learn to apply integration techniques like the boomerang method and trigonometric identities through practical examples.

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

Calculus 2: Solving Exam 2 Spring '25 - Integrals, Arc Length, Surface Area and More

Watch Professor V solve a complete Calculus 2 exam covering integration techniques, arc length, surface area, and more advanced calculus concepts with step-by-step explanations.

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

Integral of the Day - Rationalizing Substitution for Integration

Dive into a challenging "Integral of the Day" problem that demonstrates rationalizing substitution techniques for integration, with step-by-step explanations from Professor V.

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

Integral of the Day - Too Spicy for the Integration Bee

Dive into a challenging integral problem deemed too complex for an Integration Bee competition, exploring advanced techniques and testing your calculus skills with Professor V's step-by-step solution.

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

Integral of the Day - Solving Integrals Two Ways

Explore two different u-substitution approaches to solving a challenging integral, learning to apply trigonometric identities effectively in calculus problems.

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

Differential Equations: Power Series Review and Finding Solutions

Master essential power series concepts for solving differential equations, including radius of convergence, Taylor series, setting up solutions, and finding recurrence relations in this comprehensive review.

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