Multivariable Calculus Courses and Certifications

Professor Leonard

Calculus 3 - The Chain Rule for Multivariable Functions

Explore the Chain Rule for multivariable functions, focusing on derivatives involving parametrics and compositions. Derive the rule and practice with examples.

• YouTube
• 2 hours 12 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - Partial Derivatives - Derivatives of Multivariable Functions

Explore partial derivatives in multivariable calculus, including tangent line slopes, implicit differentiation, and higher-order derivatives. Gain a deep understanding through numerous examples.

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

Professor Leonard

Calculus 3 - Limits and Continuity of Multivariable Functions

Explore limits and continuity of multivariable functions, including the Squeeze Theorem. Learn techniques to determine limit existence and regions of continuity in this comprehensive lecture.

• YouTube
• 2 hours 15 minutes
• On-Demand
• Free Video

Khan Academy

Introduction to the Surface Integral - Multivariable Calculus - Khan Academy

Learn the fundamentals of surface integrals in multivariable calculus, exploring their applications and calculations in three-dimensional space.

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

Michael Penn

Multivariable Calculus

Master vector calculus fundamentals through comprehensive coverage of derivatives, integrals, and theorems in multiple dimensions with practical applications.

• YouTube
• 19 hours 34 minutes
• On-Demand
• Free Video

Michael Penn

Multivariable Calculus - Multiple Integrals

Master multiple integrals, coordinate transformations, and fundamental theorems like Green's and Divergence through comprehensive examples and applications.

• YouTube
• 9 hours 13 minutes
• On-Demand
• Free Video

Michael Penn

Multivariable Calculus - Multivariable Functions

Master multivariable functions, partial derivatives, gradients, tangent planes, limits, double integrals, and Lagrange multipliers through comprehensive mathematical analysis.

• YouTube
• 3 hours 41 minutes
• On-Demand
• Free Video

Michael Penn

Multivariable Calculus - Line Integrals

Master line integrals in multivariable calculus, from basic definitions to advanced theorems like Green's and Stokes', with comprehensive examples and applications.

• YouTube
• 4 hours 34 minutes
• On-Demand
• Free Video

Michael Penn

Vectors for Multivariable Calculus

Master vector fundamentals including length, operations, dot/cross products, projections, and applications for multivariable calculus success.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Video

Michael Penn

Multivariable Calculus - When the Divergence Theorem Doesn't Apply

Explore surface integrals over special vector fields, including cases where the divergence theorem fails, in this advanced multivariable calculus analysis.

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

Michael Penn

Multivariable Calculus - Verifying the Divergence Theorem

Explore a practical example of the divergence theorem in multivariable calculus, enhancing understanding through step-by-step verification and clear explanations.

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

Michael Penn

Multivariable Calculus - Stoke's Theorem

Explore Stoke's Theorem in multivariable calculus, including its description and a proof outline, enhancing understanding of vector calculus and its applications in physics and engineering.

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

Michael Penn

Multivariable Calculus - Two Surface Integrals Over Vector Fields

Explore surface integrals over vector fields in this concise tutorial, enhancing your understanding of multivariable calculus concepts and applications.

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

Michael Penn

Multivariable Calculus - The Area of a Parameterized Surface

Derive a formula for calculating the area of parameterized surfaces in multivariable calculus, enhancing understanding of complex geometric concepts.

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

Michael Penn

Multivariable Calculus - Vector Forms of Green's Theorem

Explore vector forms of Green's Theorem in multivariable calculus, enhancing understanding of this fundamental concept in advanced mathematics.

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