Multivariable Calculus

Vectors

• Vector algebra
• Analytic geometry
• Differential geometry

Partial Derivatives

• Functions of several variables
• Limits and continuity
• Partial derivatives
• Chain rule
• Directional derivatives
• Tangent planes
• Differentiability
• Extreme values
• Lagrange multipliers

Multiple Integrals

• Double integrals
• Iterated integrals
• Triple integrals
• Double integrals in polar coordinates
• Triple integrals in cylindrical coordinates
• Triple integrals in spherical coordinates
• Jacobians
• Applications

Vector Calculus

• Vector fields
• Line integrals
• Path independence
• Green's theorem
• Surface integrals
• Divergence theorem
• Stoke's theorem

Course Notes

• Vectors
• Partial Derivatives
• Multiple Integrals
• Vector Calculus

Internet Resources

• Maple Powertools
• Connected Curriculum Project
• Math Archives