Date  Chapter  Description 

Week 1 (of Aug 15)  10.1  Parametric curves 
 10.2  Differentiating param. curves 
  Integrals and arc lengths of param. curves 

Week 2 (of Aug 22)  10.3  Polar coordinates, polar equations 
 10.4  Area of polar regions 
  Arc lengths of polar curves 

Week 3 (of Aug 29)  11.1  Sequences, limits of sequences 
 11.2  How to define an infinite series 
  Adding and reindexing series 

Week 4 (of Sep 5)   (Labor Day is Sep 5) 
 11.2  Test for divergence; geometric series 
  Telescoping series 

Week 5 (of Sep 12)  11.3  Integral Test 
 11.4  Direct comparison 
 11.5  Direct comparison examples; alternating series 

Week 6 (of Sep 19)  11.5  Review / catchup 
  Alternating Series Test 
Thursday, Sep 22   Exam 1, inclass 

Week 7 (of Sep 26)  11.6  Absolute convergence 
  Ratio Test 
 11.8  Power series 

Week 8 (of Oct 3)   (W drop deadline is Oct 5th) 
 11.8  Intervals and radii of convergence for power series 
  Representing functions as power series; power series operations 
 11.10  Differentiation of power series; Taylor series 

Week 9 (of Oct 10)  11.10  Taylor series 
  (Fall break is Oct 13 — 14!) 

Week 10 (of Oct 17)   Review / catchup 
 12.1  3 dimensions: coordinates and vectors 
 12.2  Adding and scaling vectors 
Thursday, Oct 20   Exam 2, inclass 

Week 11 (of Oct 24)  12.3  Dot products of vectors 
 12.4  Cross products of vectors 

Week 12 (of Oct 31)  12.5  Lines and planes in 3space 
 12.6  Cylinders and quadrics, traces 
  Introduction to Mathematica (in Allen 14 on Nov 3rd) 

Week 13 (of Nov 7)  13.1  Vector functions  parametric curves in 3space 
 13.2  Derivatives and integrals of vector functions 
 13.3  Arc length and curvature 

Week 14 (of Nov 14)   Review 
 13.3  Curvature 
Thursday, Nov 17   Exam 3, inclass 

Week 15 (of Nov 21)  13.4  Velocity and acceleration in 3space 
  (Thanksgiving break is Nov 25 — 27!) 

Week 16 (of Nov 28)  13.4  Acceleration and the TNB frame 
  Review / catchup / additional topics 


Dec 7  Final exam  (7:00pm – 10:00pm) 