blackpenredpen Courses

Calculus - Parametric Equation

Explore parametric equations: graphing, converting to Cartesian, and analyzing complex curves. Master techniques for solving and visualizing mathematical relationships in different coordinate systems.

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

Calculus - Calculus with Parametric Equations

Explore calculus with parametric equations, covering derivatives, area, arc length, and conversions between parametric and Cartesian forms.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Calculus - Intro to Polar Equations

Introduction to polar equations, covering conversion to Cartesian form, tangent line slopes, and derivatives. Practical examples include circles and various trigonometric functions.

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

Polar Equations and Calculus

Explore polar equations, conversion from Cartesian, tangent lines, derivatives, area calculations, and arc length in this comprehensive calculus tutorial.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Calculus - Sequences

Explore mathematical sequences, focusing on formula creation for alternating and repeating patterns. Practice with various examples to enhance understanding of sequence principles.

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

Calculus - Series - Geometric, Telescoping & Harmonic

Explore geometric, telescoping, and harmonic series in calculus. Learn convergence tests, solve challenging problems, and master key concepts for a solid foundation in series analysis.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Calculus - P-Series & Integral Test

Explore P-Series and Integral Test in calculus, covering convergence concepts and practical problem-solving techniques for series analysis.

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

Calculus - Direct & Limit Comparison Test

Explore direct and limit comparison tests in calculus, mastering techniques to determine series convergence and divergence through practical examples and applications.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Alternating Series and Absolute Convergence - Calculus 2

Explore alternating series and absolute convergence in calculus, mastering key concepts for advanced mathematical analysis.

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

Calculus - Ratio & Root Test

Learn to apply the Ratio and Root Tests to determine convergence or divergence of series, with practical examples and key insights for solving complex calculus problems.

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

Calculus - Strategies for Testing Series

Explore various strategies for testing series convergence, including Direct Comparison, Root Test, Alternating Series Test, Ratio Test, Limit Comparison, and Integral Test.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Calculus - Radius & Interval of Convergence of Power Series

Explore power series convergence through ratio tests, examining intervals and radii for various functions including arctan(x) and ln(1+x).

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Calculus - Power Series Representations of Functions

Explore power series representations of functions in calculus, covering various techniques and examples to deepen understanding of this advanced mathematical concept.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Calculus - Taylor & Maclaurin Series

Explore Taylor and Maclaurin series applications in calculus, including polynomial expansions, logarithmic functions, and power series integrations and limits.

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

Evaluating Limits Algebraically

Learn advanced techniques for evaluating complex limits algebraically, including factoring, expanding powers, and using conjugates to simplify expressions.

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