Schedule

Week 1

Aug 26-30

Quiz 1

Session 1: Calculus review; Cartesian coordinates; distance; spheres (12.1)

Session 2: Cylindrical and spherical coordinates (15.7)

Session 3: Vectors; magnitude; unit vectors; midpoint (12.2)

Week 2

Sep 2-6

Quiz 2

(No class)

Session 4: Dot product; angle between vectors; projection; work (12.3)

Session 5: Cross product; areas; volume (12.4)

Week 3

Sep 9-13

Quiz 3

Session 6: Lines; planes; normal vectors; distances (12.5)

Session 7: Quadric surfaces (12.6)

Session 8: Parametric curves; motion; derivatives of vector valued functions; tangent lines (13.1)

Week 4

Sep 16-20

Quiz 4

Session 9: Integrals of vector functions (13.2)

Session 10: Arc length; cumulative arc length (13.3)

Session 11: Decomposing motion; unit tangent; unit normal; unit binormal; osculating plane (13.5)

Week 5

Sep 23-27

Quiz 5; Exam 1

Session 12: Curvature (13.4)

Review for Exam 1

Exam 1

(Exam on Thursday evening; no class on Friday)

Week 6

Sep 30-Oct 4

Session 13: Functions of several variables; level curves; level surfaces; contour diagrams (14.1)

Session 14: Limits; continuity (14.2)

Session 15: Partial derivatives; higher order partial derivatives (14.3)

Week 7

Oct 7-11

Quiz 6

Session 16: Differentiability; tangent plane; chain rule; implicit differentiation (14.4)

Session 17: Gradient; directional derivatives (14.5)

Session 18: Tangent planes; properties of gradient; linear approximation (14.6)

Week 8

Oct 14-18

Quiz 7

Session 19: Taylor polynomials for multi-variable functions (14.9)

Session 20: Optimization; critical points; classification with second partials test (14.7)

Session 21: Optimization for a closed and bounded region (14.7)

Week 9

Oct 21-25

Quiz 8; Exam 2

Session 22: Optimization using method of Lagrange multipliers (14.8)

Review for Exam 2

Exam 2

(Exam on Thursday evening; no class on Friday)

Week 10

Oct 28-Nov 1

Session 23: Multivariable integration; iterated integrals over rectangles and regions (15.1, 15.2)

Session 24: Changing order of integration (15.2)

Session 25: Integration in polar coordinates (15.4)

Week 11

Nov 4-8

Quiz 9

Session 26: Triple integration in Cartesian coordinates; changing order of integration (15.5)

Session 27: Geometrical applications of multivariable integration(15.3, 16.5)

Session 28: Physics applications of multivariable integration (15.6)

Week 12

Nov 11-15

Quiz 10

Session 29: Integration in Cylindrical and Spherical (15.7)

Session 30: Jacobian; substitution in multiple integrals (15.8)

Session 31: Vector fields; curl; divergence (16.2)

Week 13

Nov 18-22

Quiz 11

Session 32: Line integrals; work (16.1, 16.2)

Session 33: Line integrals of conservative functions (16.3)

Session 34: Green's Theorem (16.4)

Week 14

Dec 2-6

Quiz 12; Exam 3

Session 35: Surface integrals (16.5, 16.6)

Review for Exam 3

Exam 3

(Exam on Thursday evening; no class on Friday)

Week 15

Dec 9-13

Session 36: Stokes' Theorem (16.7)

Session 37: Gauss's Divergence Theorem (16.8)

Review for the Final

Finals

Dec 16-20

The final exam has not yet been scheduled. Do not make any travel plans requiring you to leave Ames before noon on Friday December 20 until the final has been scheduled.