Instructor: Sarah Arpin
Office: Math 216
Email: Sarah DOT Arpin AT Colorado DOT edu
TA: Justin Willson
Solutions to all in-class Worksheets and Projects
| Day | Topic | Lecture Notes | Other Notes |
|---|---|---|---|
| 1: Monday August 26 | Introduction and Anti-Derivative Review | Notes | Make sure you refresh your memories from Calc 1! Here's a useful table of derivatives and antiderivatives while you're remembering... |
| 2: Tuesday August 27 | Integration by Substitution | Notes | |
| 3: Wednesday August 28 | Integration by Parts | Notes | Written HW due tomorrow in class |
| 4: Thursday August 29 | Tutorial day | ||
| 5: Friday August 30 | Integration by Parts, continued | Notes Quiz 1 Solutions |
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| 6: Tuesday September 3 | Trigonometric Integrals | Notes | |
| 7: Wednesday September 4 | Trig Substitutions | Notes | Written HW due tomorrow in class More Practice Problems |
| 8: Thursday September 5 | Tutorial day | ||
| 9: Friday September 6 | Partial Fractions | Notes Quiz 2 Solutions |
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| 10: Monday September 9 | More Integrals | Notes Solutions |
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| 11: Tuesday September 10 | Approximate Integration | Solutions to worksheet will be posted here Sarah out of town, substitute teachers for a bit. |
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| 12: Wednesday September 11 | Improper Integrals Using Limits | Notes | Written HW due tomorrow in class |
| 13: Thursday September 12 | Tutorial Day with Justin | ||
| 14: Friday September 13 | Improper Integrals By Comparison | Notes Quiz 3 Solutions |
|
| 15: Monday September 16 | Areas of Regions and Volumes of Rotated Solids | Notes | |
| 16: Tuesday September 17 | Volumes of Solids by Cross Sections | Notes Notes |
Written HW due tomorrow in class Sarah back in town, but not in time for class. Last substitute day. |
| 18: Thursday September 19 | Tutorial Day with Justin | Extra office hour: 1p - 2pm in Math 216 | |
| 19: Friday September 20 | Cylindrical Shells Method (part II) | Notes Quiz 4 Solutions |
Exam Monday! Extra office hour: 3pm - 4pm in Math 216 |
| 20: Monday September 23 | Review in class | Exam! | |
| 21: Tuesday September 24th | 6.6: Work and Average Value | ||
| 22: Wednesday September 25th | Hydrostatic pressure and force | Written HW due tomorrow in class | |
| 23: Thursday September 26th | Tutorial day with Justin | ||
| 24: Friday September 27th | Center of Mass and Moments | Packet Solutions Quiz 5 Solutions |
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| 25: Monday September 30th | Finishing CoM and Moments; Sequences | Moments Notes Sequences Notes |
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| 26: Tuesday October 1st | Sequences Activities | ||
| 27: Wednesday October 2nd | Series | Intro Notes More Notes |
Written HW due tomorrow in class |
| 28: Thursday October 3rd | Tutorial day with Justin | ||
| 29: Friday October 4th | More on Series | (Same notes as Day 27) Quiz 6 Solutions |
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| 30: Monday October 7th | Integral Test Introductory Activity | Solutions Under Week 7 | |
| 31: Tuesday October 8th | p-Series and the Integral Test | Notes | |
| 32: Wednesday October 9th | Comparison Test and Limit Comparison Test | Notes | Written HW due tomorrow in class |
| 33: Thursday October 10th | Tutorial day with Justin | ||
| 34: Friday October 11th | Comparison Test Activity | See Course website "Projects" for solutions Quiz 7 Solutions |
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| 35: Monday October 14th | Alternating Series | Notes | |
| 36: Tuesday October 15th | Absolute Convergence and Ratio Test | Notes | Blank Series Test Chart Completed Series Test Chart |
| 37: Wednesday October 16th | Alternating Series and Integral Test Remainder Theorems | Notes | Written HW due tomorrow in class |
| 38: Thursday October 17th | Tutorial day with Justin | ||
| 39: Friday October 18th | Series Test Overview | Series Worksheet Solutions Quiz 8 Solutions |
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| 40: Monday October 21st | Exam Review | ||
| 41: Tuesday October 22nd | 8.7: Taylor Polynomials | (Project - see Math 2300 Website "Projects" section for solutions) | |
| 42: Wednesday October 23rd | 8.7: Taylor Polynomials | Notes | |
| 43: Thursday October 24th | Tutorial Day with Justin | ||
| 44: Friday October 25th | 8.5: Power Series | Notes Quiz 9 Solutions |
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| 45: Monday October 28th | Making Power Series from Geometric Series | (See project solutions on Math 2300 Website) | |
| 46: Tuesday October 29th | 8.6: Representing Functions with Power Series | Notes | |
| 47: Wednesday October 30th | 8.7: Taylor Series | Notes | |
| 48: Thursday October 31st | Tutorial Day with Justin | ||
| 49: Friday November 1st | 8.7: Taylor Series | Notes Quiz 10 Solutions |
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| 50: Monday November 4th | Taylor Series (Continued) and Taylor Approximation | Notes | |
| 51: Tuesday November 5th | Taylor Series Matching Worksheet on Taylor Polynomial Error Approximations |
Solutions on Math 2300 website under "Projects". | |
| 52: Wednesday November 6th | Continue worksheet from yesterday | ||
| 53: Thursday November 7th | Tutorial Day with Justin | ||
| 54: Friday November 8th | Introduction to Differential Equations | Notes | |
| 55: Monday November 11th | Slope Fields Activity | Slope Fields Worksheet (Solutions Last Page) | |
| 56: Tuesday November 12th | Euler's Method Introduction & Worksheet | Notes | |
| 57: Wednesday November 13th | Separable Equations | Notes | |
| 58: Thursday November 14th | Tutorial Day with Justin | ||
| 59: Friday November 15th | Applications of Differential Equations | Notes, thanks to Noah Williams. Quiz 12 Solutions |
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| 60: Monday November 18th | Exam Reivew | Series to Memorize! | |
| 61: Tuesday November 19th | Logistic Growth | Notes | |
| 62: Wednesday November 20th | Intro to Parametric Equations | Notes | |
| 63: Thursday November 21st | Tutorial Day with Justin | ||
| 64: Friday November 22nd | Calculus of Parametric Equations | Notes Quiz 13 Solutions |
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| 65: Monday December 2nd | Calculus of Parametric Equations, continued | Notes | |
| 66: Tuesday December 3rd | Parametric Equations Worksheet | Notes | |
| 67: Wednesday December 4th | Polar Equations Worksheet, Day 1 of 3 | Notes | |
| 68: Thursday December 5th | Tutorial Day with Justin | ||
| 69: Friday December 6th | Polar Equations, Day 2 of 3 | (Same notes as Day 67) | |
| 70: Monday December 9th | Polar Equations, Day 3 of 3 | (Same notes as Day 67) | |
| 71: Tuesday December 10th | Final Exam Review | Final Exam Review Solutions |