Multivariable Calculus

• Functions
• Partial Derivatives
• Second-Order Partial Derivatives and Chain Rule
• Directional Derivatives and Gradient Vector
• Optimization
• Double Integrals
• Double Integrals in Polar Coordinates
• Triple Integrals
• Triple Integrals in Cylindrical & Spherical Coordinates
• Parametric Curves and Vector Functions
• Line & Surface Integrals
• Parametric Surfaces
• Vector Fields & Line Integrals of Vector Fields
• Conservative Fields
• Flux & Surface Integrals
• Divergence, Curl and more Theorems
• Equation sheet
• Appendix