Calculus 3

Calculus 3 covers advanced topics in multivariable calculus, including partial derivatives, multiple integrals, and vector calculus.

Functions of Several VariablesPartial DerivativesMultiple Integrals
Vector Fields and GradientLine and Surface IntegralsDivergence, Curl, and the Big Theorems
Modeling Weather and ClimateEngineering and Physics ApplicationsEconomics and Resource Management
Visualization and SketchingBreaking Down Problems
Functions of Several...Partial DerivativesMultiple IntegralsVector Fields and Gr...Line and Surface Int...Divergence, Curl, an...Modeling Weather and...Engineering and Phys...Economics and Resour...Visualization and Sk...Breaking Down Proble...
Study Strategies

Breaking Down Problems

Tackle Problems Step by Step

Multivariable calculus problems can look intimidating! Always break them into smaller pieces:

  • Identify what is being asked (derivative? integral? direction?)
  • Draw a diagram if possible.
  • Solve one variable at a time.
  • Double check units and limits.

This approach keeps you organized and increases your chances of solving even the toughest problems.

Examples

  • Separating a multiple integral into inner and outer integrals for easier calculation.

  • Solving for critical points by setting each partial derivative to zero in turn.