Math with Professor V Courses

Triple Integral Bounds for Region E - Six Different Ways

Master the calculation of triple integrals by exploring six different ways to express volume integrals bounded by paraboloid and plane surfaces, with clear step-by-step demonstrations.

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

Reversing the Order of Integration for Double Integrals

Master the technique of reversing integration order in double integrals through step-by-step demonstrations, including graphing integration regions and tackling complex examples with bonus triple integral problems.

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

Converting Double Integrals from Cartesian to Polar Coordinates - Area Problems

Master the conversion of Cartesian double integrals to polar coordinates and solve area problems through practical examples and clear explanations of polar region calculations in multivariable calculus.

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

Finding Extreme Values Using Lagrange Multipliers

Master the application of Lagrange multipliers through a practical example demonstrating how to find extreme values of functions with constraints in multivariable calculus.

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

The Comparison Theorem for Improper Integrals - Step by Step Explanation

Master the Comparison Theorem for improper integrals through six detailed examples, learning to determine convergence and divergence by setting up appropriate inequalities.

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

Shell Method for Volumes of Solids of Revolution

Master the shell method for calculating volumes of revolution through a foolproof, step-by-step approach that simplifies cylindrical shell visualization, radius identification, and height determination in calculus problems.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Volumes of Solids of Revolution Using Discs and Washers

Master the calculation of volumes using discs and washers method through six clear examples. Learn to identify radius types and solve revolution problems with confidence in calculus.

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

Finding the Area Between Curves - Clear and Simple Examples

Master calculating areas between curves through straightforward examples that break down the process into clear, manageable steps for better understanding of integral applications.

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

Conic Sections in Polar Coordinates - Section 10.6

Master the fundamentals of conic sections in polar coordinates, including eccentricity, standard forms, equation writing, and graphing techniques for enhanced mathematical understanding.

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

Intermediate Algebra: Equations Reducible to Quadratic - Video 44

Master solving complex algebraic equations by learning u-substitution techniques to transform equations into manageable quadratic forms, enhancing your problem-solving skills in intermediate algebra.

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

Solving Word Problems with Quadratic Equations - Video 43

Master the art of solving quadratic equation word problems through step-by-step guidance on setting up problems, applying factoring methods, and using the quadratic formula effectively.

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

Using Series to Evaluate Limits - A Three-Step Process

Master a simple 3-step process for evaluating limits using series in calculus, with clear examples and practical applications for advanced mathematical problem-solving.

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

Calculus 2 Final Exam Review: Sequences and Series - Part 4

Master essential Calculus 2 concepts including sequences, series, convergence tests, and Taylor/Maclaurin series through a comprehensive examination of advanced mathematical principles and problem-solving techniques.

• YouTube
• 2 hours 10 minutes
• On-Demand
• Free Video

Calculus 2 Final Exam Review: Differential Equations, Parametric Curves and Polar Coordinates - Part 3

Master essential Calculus 2 concepts including separable and linear differential equations, parametric curves, polar coordinates, and conic sections through comprehensive exam preparation guidance.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Calculus 2 Final Exam Review: Integration Methods and Applications - Part 2

Master advanced integration techniques and numerical methods including trig substitution, partial fractions, improper integrals, and approximation rules for comprehensive Calculus 2 exam preparation.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video