Math with Professor V Courses

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

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

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

Tabular Method for Integration by Parts in Calculus 2

Master the tabular method for integration by parts through five practical examples, learning an efficient approach for solving polynomial-based integrals and boomerang cases in calculus.

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

Differential Equations - Using an Integrating Factor and Exact Equations - Part 2.4

Master solving differential equations through integrating factors and exact equations with clear examples demonstrating how to transform non-exact equations into exact forms.

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

Integral of the Day - Solving ∫ e^-sqrt(y) dy - Calculus 2

Master solving the integral ∫ e^-sqrt(y) dy with Professor V's step-by-step approach in this Calculus 2 homework problem walkthrough.

• YouTube
• 10 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

Definition of a Limit - Bridging the Gap from Precalculus to Calculus - Lecture 2.1

Explore the formal definition of limits, a foundational calculus concept that bridges precalculus and calculus, building both conceptual understanding and technical skills.

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

Integral of the Day 5.30.25 - It LOOKS Worse Than It Is! Can You Solve It?

Master a challenging integral that appears more complex than it actually is through step-by-step problem-solving techniques and mathematical insights.

• YouTube
• 11 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

Integral of the Day 6.23.25 - Trigonometric Substitution and Boomerang Integration Tutorial

Master trigonometric substitution and integration techniques through a challenging integral that demonstrates multiple solution strategies and mathematical concepts.

• YouTube
• 11 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