Multivariable Calculus

Spring 2013

Week 1 (Jan 21 - Jan 25)

  • MLK Day (No Class)
  • Introductory Day + 12.2 3D
  • Planes Handout
  • 11.5 Conic Sections

Week 2 (Jan 28 - Feb 1) **Events Calendar**

  • 12.6 Cylinders, Quadric Surfaces
  • 12.6 again
  • 14.1 functions on 3D
  • 14.2 limits and cont

Week 3 (Feb 4 - Feb 8) **Events Calendar**

  • 14.3 partials
  • Review
  • Exam 1
  • 14.6 chain rule

Week 4 (Feb 11 - Feb 15)

  • 12.1/12.2 vectors
  • 12.3 dot product
  • 12.3 dot product
  • Planes Handout #2

Week 5 (Feb 18 - Feb 22)

  • 13.1/13.2 vector functions and their derivs
  • 13.3 arc length
  • 14.5 dir derivs and grads
  • 14.5 dir derivs and grads

Week 6 (Feb 25 - Mar 1)

  • 14.5 / 14.6 tangent planes and differentials
  • 14.6 tangent planes and differentials
  • 14.6 / 14.7 extreme values and saddles
  • 14.7 extreme values and saddles

Week 7 (Mar 4 - Mar 8) **Events Calendar**

  • applied optimization (handout)
  • Review
  • Exam 2
  • applied optimization

Week 8 (Mar 11 - Mar 15)

  • 14.8 Lagrange Multipliers
  • 14.8 Lagrange Multipliers
  • Handout Nonuniform Density
  • 15.1 / 15.2 double integrals rects and genl

Week 9 (Mar 25 - Mar 29)

  • 15.2, Area density
  • 15.3 triple inegrals over cubes and general regions
  • 15.3 more on triple integrals
  • 11.3 Polar coordinates and graphing

Week 10 (Apr 1 - Apr 5)

  • 11.3 Polar coordinates and graphing
  • 15.4 Double integrals in polar coordinates
  • 15.4 cylindrical coordinates
  • 15.4 spherical coordinates

Week11 (Apr 8 - Apr 12) **Events Calendar**

  • Triple integrals in cylindrical and spherical coordinates
  • Exam Review
  • Exam 3
  • 15.4 Triple integrals in cylindrical and spherical coordinates

Week 12 (Apr 15 - Apr 19) **Events Calendar**

  • 16.2; Linear Density along a curve
  • 12.4; geometric infinitesimal area units; Cross Product
  • 16.4; Integration over surfaces
  • Vector Fields, air velocity vector field

Week 13 (Apr 22 - Apr 26)

  • Vector Fields; 16.2; Flow of Vector Field along a curve
  • 16.3; Fundamental Theorem of Line Ints, etc.
  • 16.3; potentials, circulation
  • 16.5; Flux through a surface

Week 14 (Apr 29 - May 3)

  • Flux through a surface
  • 17.3; Divergence Handout
  • Divergence Handout
  • 17.2; Curl Handout

Week 15 (May 6 - May 10)

  • Curl Handout
  • Fundamental Theorems / 14.7 / 14.8 /14.4
  • Catch UP
  • No Class (Reading Period)
  • No Class (Reading Period)

Notes

  1. 57 Class days
  2. 3 In class exams + Final