Week 1: Jan 21 - Jan 25
- 9.1 Sequences and Series of Nums
- 9.2 Pointwise convergence of fn seqs
- 9.3 Unif conv of fn seqs
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Week 2: Jan 28 - Feb 1
- 9.4 Uniform limit
- 9.5 Power Series
- 9.6 Cont. not differ example
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Week 3: Feb 4 - Feb 8
- 10.1/10.2 R^n as VS, Basic topology
- 10.2/10.3
- 11.1 Continuity
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Week 4: Feb 11 - Feb 15
- 10.3 Topology
- 11.1 Continuity
- 11.2 Seq Compactness
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Week 5: Feb 18 - Feb 22
- 11.3 Path Connectedness an IVT
- 13.1 Limits
- 13.2 Partial Derivs
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Week 6: Feb 25 - Mar 1
- 13.3 MVT, Directional Derivs
- 14.1 Linear Approx
- Catchup
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Week 7: Mar 4 - Mar 8
- 14.2 Quadratic function basics
- 14.3 Quadratic Approx
- 15.1 More linear algebra
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Week 8 : Mar 11 - Mar 15
- 15.2 Derivative Matrix and Differential
- 15.3 Chain Rule
- Catchup
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Week 9: Mar 25 - Mar 29
- 16.1 Maps in the plane
- 16.2 Stability
- 16.3 Inverse Function Theorem
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Week 10: Apr 1-Apr 5
- 17.1 Dini's Theorem
- 17.2 Implicit Function Theorem
- Catchup
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Week11: Apr 8 - Apr 12 (Registration
Week)
- 17.3 Surfaces and paths in R^3
- 17.4 Constrained optimization
- 18.1 Ints on generalized rectangles
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Week 12: Apr 15 - Apr 19
- 18.2 Continuity and integrability
- 18.3 Ints on Jordan domains
- Catchup
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Week 13: Apr 22 - Apr 26
- 19.1 Fubini
- 19.2 Change of variables (subst)
- 19.3 Proof of above
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Week 14: Apr 29 - May 3
- 20.1 Line integrals
- 20.2 Surface Integrals
- Green and Stokes Theorems
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Week 15: May 6 - May 10
- Catchup
- No Class (Reading Period)
- No Class (Reading Period)
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