blackpenredpen Courses

Centroid and Hydrostatic Force

Learn to calculate centroids and hydrostatic forces using calculus techniques, including applications for various shapes and point masses.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Intro to Differential Equations

Introduction to differential equations, covering key concepts and problem-solving techniques from Stewart Calculus Section 9.1, including various examples and common misconceptions.

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

Stewart Calculus Solution - Differential Equation, Separable Equations

Learn to solve separable differential equations, including exponential functions, initial conditions, and applications like mixing problems.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video