MA 2733 - Schedule
 

 

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Schedule

Tentative schedule: MA 2733, August, 2015

Date                          Chapter       Description 
Week 1 (of Aug 17) 10.1 Parametric curves
10.2 Differentiating param. curves
Integrals and arc lengths of param. curves

Week 2 (of Aug 24) 10.3 Polar coordinates, polar equations
10.4 Area of polar regions
Arc lengths of polar curves

Week 3 (of Aug 31) 11.1 Sequences
11.2 Limits of sequences; series
Adding and reindexing series

Week 4 (of Sep 7) (Labor Day is Sep 7)
11.2 Test for divergence; geometric series
Telescoping series

Week 5 (of Sep 14) 11.3 Integral Test
11.4 Direct comparison
11.5 Direct comparison examples; alternating series

Tuesday, Sep 22 Exam 1, 7:00pm – 8:50pm

Week 6 (of Sep 21) 11.5 Review / catchup
Alternating Series Test
Alternating Series Estimation

Week 7 (of Sep 28) 11.6 Absolute convergence       (W drop deadline Sep 28th)
Ratio Test
11.8 Power series

Week 8 (of Oct 5) (Fall Break is Oct 5-6)
11.8 Intervals and radii of convergence for power series
Representing functions as power series; power series operations

Week 9 (of Oct 12) 11.10 Differentiation of power series; Taylor series
Taylor series
12.1 3 dimensions: coordinates and vectors

Tuesday, Oct 20 Exam 2, 7:00pm – 8:50pm

Week 10 (of Oct 19) Review / catchup
12.2 Adding and scaling vectors
Introduction to Mathematica (in Allen 14 on Oct 21st and 22nd)

Week 11 (of Oct 26) 12.3 Dots products of vectors
12.4 Cross products of vectors

Week 12 (of Nov 2) 12.4 More cross products
12.5 Lines and planes in 3-space
12.6 Cylinders and quadrics, traces

Week 13 (of Nov 9) 13.1 Vector functions - parametric curves in 3-space
13.2 Derivatives and integrals of vector functions
13.3 Arc length and curvature

Tuesday, Nov 17 Exam 3, 7:00pm – 8:50pm

Week 14 (of Nov 16) Review
13.3 Curvature

Week 15 (of Nov 23) 13.4 Velocity and acceleration in 3-space
(Thanksgiving break is Nov 25 — 27!)

Week 16 (of Nov 30) 13.4 Acceleration and the TNB frame
Review / catchup / additional topics
Dec 10 Final exam   (12:00pm – 3:00pm Sec 2)
   (3:00pm – 6:00pm Sec 8)

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