MA 2733 - Schedule
 

 

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Schedule

Tentative schedule: MA 2733, August, 2016

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, in-class

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, in-class

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 3-space
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 3-space
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, in-class

Week 15 (of Nov 21) 13.4 Velocity and acceleration in 3-space
(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)

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