Calculus III

Fall 2022

Professor: Mark McClure

Handy Links

• Syllabus
• Course calendar
• The textbook
  • Lagrange Multipliers
• Math Discourse (archived version)
• WebWork
• GeoGeobra 3D
• The Math Lab

Handouts

• Review for Exam I
• Review for Exam II
• Review for Exam III
• Notes on Green's Theorem and the Divergence Theorem
• Review for the Final Exam

Presentations

• Polar coordinates
• Change of variables
• Triple integrals
• Cylindrical and sperical coordinates
• Line integrals

Demos

• A solid of revolution
• The cycloid
• Animating a helix with GeoGeobra
• A path on a sphere
• Functions of two variables
• Contour plots
• Partial Deriatives
• A strange discontinuity
• Gradient ascent
• Some level surfaces
• Tangent plane to a level surface
• Contours and critical points:
  • Desmos illustration
  • Sage computation
• Lagrange solvers: [ 2D | 3D ]
• Double integrals
• Parametric region plotter