Calculus III

Spring 2023

Professor: Mark McClure

Handy Links

• Syllabus
• Course calendar
• The textbook
• Math Discourse (an archived version)
• WebWork (retired)
• Desmos
• Calc Plot 3D
• The Math Lab

Handouts

• Review for Exam 1
• Review for Exam 2
• Review for Exam 3
• Review for the final exam

Demos

• A solid of revolution
• A little 3D
• The cycloid
• The helix
• Functions of two variables
• Contour plots
• Partial derivatives
• Contours and critical points:
  • Desmos illustration
  • Sage computation
• An illustration of Lagrange multipliers
• Double integrals
• Polar integrals
• Change of variables and the Jacobian
  • Presentation
  • Parametric region plotter
• Triple integrals
• 3D Coordinate Systems
• Line Integrals
• Illustrations for the proof of Green's Theorem
• Parametric surfaces
• Chimney dome
• Green's Theorem and Polygonal Area