Fall 2002
Mathematics Math21a
Fall 2002
Multivariable Calculus
Course Head: Daniel Goroff
Office: SciCtr 427
Email:
goroff@math.harvard.edu
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Math21a Teaching material
ICEs:
Tracking: Topic: Distances
Hurricanes: Topic: 2D-Coordinates,Paths
Skydrive: Topic: Vectors
Estimation of angles: Topic dot product
Hexagon: Topic: dot product
Boston-Rome: Topic: spherical coordinates
Carnot Process: Topic: line integral
Close hit: Topic: Length of curves
Cobb-Douglas: Topic: Lagrange multipliers
Completion of Squares: Topic quadrics
Conservative or not: Topic vector fields
Identifying graphs: Topics graphs z=f(x,y)
Knots and DNA: Topic Curves
Area of regions: Topic Green theorem
Gabriels horn: Topic surface area
Van der Waals law: Topic directional derivative
Hexagon angle: Topic dot product, projections
Nash's problem: (*) Topic integral theorems
PDE's: Topic partial derivatives
Roses: Topic curves in polar coordinates
Shading: Topic cross product
Flux through surface: Topic Stokes theorem
Vector fields: Topic
Short quizz template
Text
Lines and Planes
Distances Topic: dot and cross product
Objects in Multivariable calculus: Topic: overview at end
Teaching
Checklist for Section leaders
Please send comments to
math21a@fas.harvard.edu