Multivariate Calculus

Spring 2008

Click here for Turn In Homework

Week 1: Jan 21 - Jan 25

  • No Class (Martin Luther King Day)
  • Chapter 9.1,2: Polar Coordinates and Graphing
  • Chapter 9.3: Logistics, Areas and Lengths
  • Chapter 9.3: Areas and Lengths

Homework

  • 9.1: Comp: 2,4,6,14,20,24,28,59
  • 9.1: OneStep: 32,36,54,58,63
  • 9.2: Comp: 3,7,13,18,19,26,31
  • 9.2: OneStep: --
  • 9.3: Comp: 3,5,13,19,21,26,28
  • 9.3: OneStep: 7,9,25,27

Week 2: Jan 28 - Feb 1

  • Chapter 9.4: Conic Sections
  • Chapter 10.1: 3-D Geometry
  • Chapter 10.2: Vectors
  • Chapter 10.3: Dot Product

Homework

  • 9.4: Comp: 1-8,11,21,25,31,37,39,41,43,49,54
  • 9.4: OneStep: 69,70,73
  • 10.1: Comp: 4,6,12,15,18,21,27,29,32,46
  • 10.1: OneStep: 33,34,51,54
  • 10.2: Comp: 7,11,15,17,21,23,25,37,39,43
  • 10.2: OneStep: 33,41,42,49,52,54

Week 3: Feb 4 - Feb 8

  • Chapter 10.4: Cross Product
  • Chapter 10.5: Lines and Planes
  • Exam One
  • Chapter 10.5: Lines and Planes

Homework

  • 10.3: Comp: 5,11,13,18,23,29,31,47
  • 10.3: OneStep: 17,24,25,26,27
  • 10.4: Comp: 3,13,17,21,23,29,31,37,41
  • 10.4 OneStep: 25,27,28,32,33
  • 10.5: Comp: 3,9,10,17,23,41,47,51,63,68
  • 10.5: OneStep: 27,29,45,53,59,61,66,67,69

Week 4: Feb 11 - Feb 15

  • Chapter 10.6: Cylinders and Quadric Surfaces
  • Chapter 10.6: Cylinders and Quadric Surfaces
  • Chapter 13.7: Cylindrical and Spherical Coordinates
  • Chapter 11.1: Vector Functions and Derivatives

Homework

  • 10.6: Comp:1-12,15,19,23,25,27,29
  • 10.6: OneStep: 46
  • 13.7: Comp: Click Here
  • 11.1: Comp:1,3,5,6,7,11,13,19,21
  • 11.1: OneStep: 17,23,24,26,27,34

Week 5: Feb 18 - Feb 22

  • Chapter 11.1: Vector Functions and Derivatives
  • Chapter 11.2: Integrals of Vector Functions
  • Chapter 11.3: Arc Length in Space
  • Chapter 11.3: Arc Length in Space

Homework

  • 11.2: Comp:1,3,6,9,11,13,18,20
  • 11.2: OneStep:15,21,22,26,29
  • 11.3: Comp: 1,3,5,9,18
  • 11.3: OneStep:11,13,17

Week 6: Feb 25 - Feb 29

  • Chapter 11.4: Curvature of a curve
  • Chapter 11.5 Tangential and Normal ...
  • Exam Two
  • Chapter 12.1: Multivariable Functions

Homework

  • 11.4: Comp: 3,7,11,15,21,29,31
  • 11.4: OneStep: 5,17,20, Additional Problem #1
  • 11.5: Comp:1,5,7,11,15
  • 11.5: OneStep: 17,18

Week 7: Mar 3 - Mar 7

  • Chapter 12.1: Multivariable Functions
  • Chapter 12.2: Limits and Continuity
  • Chapter 12.2: Limits and Continuity
  • Chapter 12.3: Partial Derivatives

Homework

  • 12.1: Comp: 3,7,11,13-18,23,27,29
  • 12.1: OneStep: 31,37,39
  • 12.2: Comp: 5,13,17,21,29,30,31,33,45
  • 12.2: OneStep: 9,34,37,41,44,47,50,51,57,59,65

Week 8: Mar 10 - Mar 14

  • Chapter 12.3: Partial Derivatives
  • Chapter 12.4: Chain Rule
  • Chapter 12.4: Chain Rule
  • Chapter 12.5: Directional Derivates / Gradient

Homework

  • 12.3: Comp: 5,13,19,21,23,30,37,39,53,63,67
  • 12.3: OneStep: 33,51,52,57,61,71,76
  • 12.4: Comp: 3,5,7,9,11,27,31,35,37
  • 12.4: OneStep: 13,15,21,22,39,41,43,47,49

Week 9: Mar 24 - Mar 28

  • Chapter 12.5: Directional Derivates / Gradient
  • Chapter 12.6: Tangent Planes / Differentials
  • Exam Three
  • Chapter 12.6: Tangent Planes / Differentials

Homework

  • 12.5: Comp: 3,7,9,13,15,19,21,23,25
  • 12.5: OneStep: 27,29,30,31,32,35
  • 12.6: Comp: 3,5,11,13,17,19,21,25,29,39,41,45
  • 12.6: OneStep: 23,24,33,35,47,49,51,53,56,57

Week 10: Mar 31 - Apr 4

  • Chapter 12.7: Extreme Values / Saddles
  • Chapter 12.7: Extreme Values / Saddles
  • Chapter 12.8: Lagrange Multipliers
  • Chapter 12.8: Lagrange Multipliers

Homework

  • 12.7: Comp: 5,11,17,21,27,31,37,57
  • 12.7: OneStep: 39,41,42,43,44,45,46,47,49,50,51
  • 12.8: Comp: 1,5,7,9,11,15,17,21,23,29,35,37
  • 12.8: OneStep: 27,31,33,41,44,

Week11: Apr 7 - Apr 11 (Registration Week)

  • Chapter 12.9: Taylor's Formula
  • Chapter 13.1: Double Integrals over Rectangles
  • Chapter 13.2: Double Integrals on General Regions
  • Chapter 13.2: Double Integrals on General Regions

Homework

  • 12.9: Comp: 1,5,9
  • 13.1: Comp: 3,7,11,15,19,23,27
  • 13.2: Comp: 3,9,11,13,17,27,37,45,47,49
  • 13.2: OneStep: 21,23,32,35,39,43,53,55,57

Week 12: Apr 14 - Apr 18

  • Chapter 13.3: Area by Double Integration
  • Chapter 13.4: Double Integrals in Polar Form
  • Exam Four
  • Chapter 13.5: Triple Integrals in Rect. Coords

Homework

  • 13.3: Comp: 3,5,7,9,11,13,15,19,21
  • 13.4: Comp: 1,9,11,15,19,23,25
  • 13.4: OneStep: 27,29,33,36

Week 13: Apr 21 - Apr 25

  • Chapter 13.5: Triple Integrals in Rect. Coords
  • Chapter 13.7: Triple Int. in Cyl. and Sph. Coords
  • Chapter 13.7: Triple Int. in Cyl. and Sph. Coords.
  • Chapter 13.8: Substitution in Multiple Integrals

Homework

  • 13.5: Comp: 3,5,7,13,19,23,27
  • 13.5: OneStep: 21,29,31,35,41
  • 13.7: Comp: 1,9,11,13,17,21,23,25,29,39,47,64
  • 13.7: OneStep: 31,35,37,41,53,59

Week 14: Apr 28 - May 2

  • Chapter 14.1: Line Integrals
  • Chapter 14.1: Line Integrals
  • Chapter 14.2: Vector Fields
  • Chapter 14.2: Vector Fields

Homework

  • 13.8: Comp: 1,3,15
  • 13.8: OneStep: 7,9,18
  • 14.1: Comp: 1-8,9,11,15,19,23
  • 14.2: Comp: 3,5,7,11,15,17,19,23,37
  • 14.2: OneStep: 25,27,29,31,33,35,41

Week 15: May 5 - May 9

  • Chapter 14.3: Path Independence / Potential Functions
  • Chapter 14.4: Green's Theorem
  • No Class (Reading Period)
  • No Class (Reading Period)

Homework

  • 14.3: Comp: 1-6,9,11,13,15,27,29,33
  • 14.3: OneStep: 19,21,34,38
  • 14.4: Comp: 3,7,9,15,17,19,21,23
  • 14.4: OneStep: 13,26,27,29

Additional Problems

  1. The DNA molecule has the shape of double helix. The radius of each helix is about 10 angstroms and each helix rises about 34 angstroms during each turn. Since there are about 2.9×10⁸ complete turns, estimate the length of each helix.