Math with Professor V Courses

Sequences and Series Problem Solving - Part 2

Master advanced calculus concepts through 100 practice problems covering sequences, series, convergence tests, and Taylor series with detailed solutions and step-by-step explanations.

• YouTube
• 3 hours 5 minutes
• On-Demand
• Free Video

Approximating Error for Taylor Polynomials Using Taylor's Inequality

Master Taylor's Inequality and error approximation techniques for polynomial functions through practical examples, focusing on determining error bounds and optimal term calculations.

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

Sequences and Series Problem Solving - Part 1

Master sequences and series through 100 practice problems covering convergence, monotonic sequences, geometric series, divergence tests, integral tests, and alternating series with detailed solutions and explanations.

• YouTube
• 2 hours 59 minutes
• On-Demand
• Free Video

Graphing Rational Functions - A Four-Step Process

Master rational function graphing through a straightforward 4-step method covering domain, intercepts, asymptotes, and plotting - perfect for both beginners and Calculus students seeking a thorough review.

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

Area Between Two Curves - Producer and Consumer Surplus in Business Calculus - Lecture 7.5

Master the calculation of producer and consumer surplus through area-between-curves problems in business calculus, with clear examples and practical economic applications.

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

The Fundamental Theorem of Calculus in Business Mathematics - Lesson 7.4

Master the Fundamental Theorem of Calculus through clear explanations and practical examples of definite integrals, including techniques for u-substitution and working with changing integration limits.

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

Graphing Roses in Polar Coordinates and Finding Area of Petals

Master polar coordinate graphing by learning to plot rose curves and calculate petal areas, perfect for both beginners and advanced calculus students exploring polar mathematics.

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

Business Calculus: Integration Using U-Substitution - Section 7.2

Master integration by substitution through clear examples and economic applications, including finding total debt from instantaneous debt rates - all explained with step-by-step guidance.

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

Business Calculus: Antiderivatives - Section 7.1

Master antiderivative calculations in business calculus through power rules, exponential functions, and practical economics applications like cost and demand function analysis.

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

The Ratio and Root Tests for Infinite Series - When to Use Them and How

Master the application of Ratio and Root Tests for determining infinite series convergence, including practical examples and step-by-step guidance for mathematical analysis.

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

L'Hospital's Rule and Indeterminate Forms in Calculus

Master L'Hospital's Rule and indeterminate forms through comprehensive examples and clear explanations, progressing from basic concepts to complex applications in calculus.

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

Maximum and Minimum Values in Calculus - Extreme Value Theorem and Critical Numbers

Master the concepts of absolute and local extrema through comprehensive coverage of critical numbers, Fermat's Theorem, and the Extreme Value Theorem with practical examples and clear explanations.

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

Polynomial Long Division - A Four-Step Process

Master polynomial long division through a clear 4-step process, essential for advancing your mathematical skills from algebra through calculus.

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

The Limit Comparison Test - How and When to Use It in Sequences and Series

Master the Limit Comparison Test for sequences and series through clear explanations and practical examples, learning when to apply it and how to choose appropriate comparison series.

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

The Fundamental Theorem of Algebra - Understanding and Application

Master the Fundamental Theorem of Algebra through detailed explanations and practical examples, learning to find polynomial zeros and understand the Conjugate Pairs Theorem with clear demonstrations.

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