Week 1: Sep 4 - Sep 7
- No Class (Labor Day)
- Hurricanes, Big Picture, Logistics, Sequences
- Estimating by Rectangles
- Exact Values and Riemann Sums
Homework
- 1.1: 10,24,60
- 1.2: 6,10,18,32
- 1.3: 6,22,36,56
- 1.4: 10,18,22
- 1.5: 12,16,26,38,44,58
- 4.8: 12,18,52,62,94,110
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Week 2: Sep 10 - Sep 14
- Limit Review and Riemann Sums
- Riemann Sums and the Definite Integral
- Fundamental Theorem of Calculus
- -
Homework
- 5.1: 5,9,17,19
- 5.2: 9,13,17,21,28
- (Optional) 8.1: 23,33,48,81
- 5.3: 8,13,37,59,63
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Week 3: Sep 17 - Sep 21
- Substitution Intro. and Review
- Exam one
- Substitution
Homework
- 5.4:
9,11,22,27,34,46,60,62,76,79
- 5.5: 9,18,24,31,40,46,53,55,57,63
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Week 4: Sep 24 - Sep 28
- Basic Applications of Definite Integrals
- Manufacturing a new function -- ln(x)
- Volumes by cross sections
- Volumes by cylindrical shells
Homework
- 5.6: 8,23,32,44,55,58,69,83,105,111
- 5.7: 8,13,20,25,32,35,45,51
- 6.1: 3,7,11,21,29,47,51
- 6.2: 5,13,19,26,29,33,35
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Week 5: Oct 1 - Oct 5 (Skip Sections
6.4,6.6,6.7)
- Lengths of Plane Curves
- Separable Differential Equations
- Volumes of n-dimensional spheres
- Integration by Parts
Homework
- 6.3: 3,5,7,11,17,23,29,36
- 6.5: 3,7,15,19,21,35,41
- Extra Homework
Handout 01 (PDF)
- 7.1: 11,20,23,32,36,37,41,49
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Week 6: Oct 8 - Oct 12
- -
- Exam Two
- Trigonometric Integrals
- Trig Integrals / Trig Subs
Homework
- 7.2: 11,16,21,24,30,37,41,43
- (7.3: 5,11,13,25,28,31,38,41)
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Week 7: Oct 15 - Oct 19
- Trigonometric Substitutions
- Partial Fractions
- -
- Tables and CAS
Homework
- (7.3: 5,11,13,25,28,31,38,41)
- 7.4: 5,15,19,27,34,39,43,45,49
- (7.5: 11,14,19,27,31,34,43,51,58)
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Week 8: Oct 22 - Oct 26
- Fall Break
- Fall Break
- Numerical Integration
- -
Homework
- 7.6: 5,8,15,20,25,27,29,33
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Week 9: Oct 29 - Nov 2
- Numerical Integration and Review
- Exam Three
- -
- Improper Integrals
Homework
- 7.7: 9,19,27,37,45,55,65,73,76,78
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Week 10: Nov 5 - Nov 9
- -
- Sequences
- Infinite Series
- -
Homework
- 8.1: 1,11,21,33,41,51,61,71,81,91,101,111,120,131
- 8.2: 3,11,15,19,29,35,43,47,57,59,61,64,68
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Week11: Nov 12 - Nov 16 (Registration
Week)
- The Integral test
- Comparison Tests
- -
- Ratio and Root tests
Homework
- 8.3: 5,9,22,27,31,33,35,39,41
- 8.4: 4,7,11,15,19,22,27,35,39,40
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Week 12: Nov 19 - Nov 23
- Ratio, Root Tests and Review
- Exam Four
- Thanksgiving
- Thanksgiving
Homework
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Week 13: Nov 26 - Nov 30
- Ratio and Root Tests
- Alternating Series Test
- Power Series
- -
Homework
- 8.5: 7,13,18,21,28,34,36,43
- 8.6: 13,24,29,38,41,46,49,59
- 8.7: 10,17,26,32,37,40,42,48
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Week 14: Dec 3 - Dec 7
- Taylor and Maclaurin Series
- Convergence of Taylor Series
- -
- Binomial Series
Homework
- 8.8: 7,15,18,23,29,33,38
- 8.9: 5,12,15,26,33,44,49
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Week 15: Dec 10 - Dec 12
- Binomial Series and Review
- Exam Five
Homework
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