blackpenredpen Courses

Calculus - Trigonometric Substitution

Comprehensive guide to trigonometric substitution in calculus, covering various integral types and techniques for solving complex problems.

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

Calculus - Partial Fractions - Stewart Calculus Solution, 7th ET Edition

Comprehensive guide to partial fraction decomposition in calculus, covering various techniques and applications for solving complex integrals.

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

Calculus - Integrals

Comprehensive exploration of advanced integration techniques, covering a wide range of complex integrals and methods to solve them efficiently.

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

Calculus - Approximate Integrations

Learn approximate integration techniques including Trapezoidal, Midpoint, and Simpson's Rules, with error bound formulas and practical examples from Stewart Calculus.

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

Stewart Calculus - Improper Integral

Comprehensive exploration of improper integrals, covering various techniques, theorems, and challenging examples to deepen understanding of advanced calculus concepts.

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

Arc Length & Surface Area

Learn to calculate arc length and surface area for various shapes, including solids of revolution, spheres, and cones. Explore intriguing concepts like Gabriel's Horn and the Painter's Paradox.

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

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• 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