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

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

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

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

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

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

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

Sequences and Series Exam from Calculus 2 - Part 1

Dive into a comprehensive exam walkthrough on sequences and series from Calculus 2, with step-by-step solutions and explanations from Professor V in this engaging tutorial.

• YouTube
• 40 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

Jacobians and Multiple Integrals - Raw Homework Help Session

Experience raw, unfiltered Calculus 3 classroom action as Professor V tackles Jacobians and multiple integrals homework problems in real-time with authentic student interactions.

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