Math with Professor V Courses

Inverse Trigonometric Functions - Section 4.7

Master inverse trigonometric functions through clear explanations of domains, ranges, graphs, and practical calculations of arcsin, arccos, and arctan, including their limits and calculator applications.

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

Integrating Rational Functions with Irreducible Quadratics - Day 2.1.25

Master the integration of rational functions with irreducible quadratics through step-by-step guidance and clear explanations of partial fraction decomposition methods.

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

The Integral Test for Infinite Series: Step by Step Explanation

Master the Integral Test for infinite series through step-by-step explanations and four examples of varying difficulty. Learn the three essential conditions for applying this test and become proficient in determining series convergence.

• YouTube
• 36 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

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

Mastering Rational Function Integrals: When Long Division Comes First

Master the technique of solving rational function integrals using polynomial long division before partial fractions. Learn when to apply this method, how to simplify complex integrals, and avoid common mistakes through five detailed examples.

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

Can You Pass This Elementary Differential Equations Final? Spring 2025

Follow along with a step-by-step walkthrough of an Elementary Differential Equations final exam covering power series solutions, Frobenius method, Laplace transforms, and more. Challenge yourself before viewing solutions.

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

Integral of the Day - Integration Challenge

This 14-minute tutorial presents a challenging "Integral of the Day" that requires applying multiple integration techniques to solve a classic calculus problem. Test your integration skills with this lengthy problem that serves as an excellent exercise f…

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

Calculus 3: Double Integrals in Polar Regions - Part 2 - Solving Lots of Examples

Master double integrals in polar regions through multiple worked examples that build your confidence and problem-solving skills. Practice setting up and solving these complex calculus problems step-by-step.

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

Lagrange Multipliers and Maximum and Minimum Values of Functions of Two Variables - Section 14.8

Master Lagrange multipliers through live, unfiltered classroom problem-solving with real student interactions and step-by-step guidance on critical points and optimization.

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

The Limit Laws - Bridging the Gap from Precalculus to Calculus - Lecture 2.2

Master the fundamental limit laws including sum, difference, and product rules to simplify calculus calculations and build confidence in your mathematical foundations.

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

Maximum and Minimum Values of Functions of Two Variables - Section 14.7

Dive into raw, unfiltered Calculus 3 homework help covering maximum and minimum values of multivariable functions with critical points and second derivative tests.

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

Calculus 3 - Solving Exam 1 Summer 2025: Vectors, Arc Length, and More

Master multivariable calculus through ten exam problems covering vectors, dot and cross products, arc length, curvature, and motion in space with detailed solutions.

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