---
title: Math 274 Timeline
tags: teaching, calculus
---
# Math 274.005 Class Timeline
### Spring 2023, Schedule of Topics
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<td colspan="2" style="width: 100%; height: 47px;"><strong>First 3 Weeks. Integration and Applications.</strong></td>
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<td style="width: 17.4006%; height: 47px;">Tues, 08/29</td>
<td style="width: 82.5994%; height: 47px;">Intro and welcome; <strong>Topic 1:</strong> Review of integrals <br />
<strong>Topic 2 (up to Subsection 2.1):</strong> Area between curves (🕮 § 2.1)</td>
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<td style="width: 17.4006%; height: 47px;">Thurs, 08/31</td>
<td style="width: 82.5994%; height: 47px;"><strong>Topic 2 (Subsection 2.2-3.2):</strong> Area between curves (🕮 § 2.1)<br /><strong>Topic 3:</strong> Volumes by slicing (🕮 § 2.2)</td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 09/05</td>
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<strong>Homework 1 due</strong> in class <br />
Potentially more on <strong>Topic 3</strong>... <br />
<strong>Topic 4:</strong> Method of cylindrical shells (🕮 §2.3)</td>
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<td style="width: 17.4006%; text-align: left; height: 18px;">Thurs, 09/07</td>
<td style="width: 82.5994%; text-align: left; height: 18px;"><strong>Quiz 1 (Area between curves, Volume by slicing)</strong><br /><strong>Topic 5:</strong> Arclength and surface area (🕮 §2.4)
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<strong>Lab 1:</strong> On arclength and surface area (Due in Blackboard at 11:59 pm)</td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 09/12</td>
<td style="width: 82.5994%; text-align: left; height: 47px;"><strong>Homework 2 due</strong> in class <br />
<strong>Topic 6:</strong> Mass and density, work (🕮 §2.5)
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<td style="width: 17.4006%; text-align: left; height: 47px;">Thurs, 09/14</td>
<td style="width: 82.5994%; text-align: left; height: 47px;"><strong>Selected parts of Topic 7:</strong> Weighted averages, centers of mass and centroids (🕮 §2.6)
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<strong>Lab 2:</strong> Fourier approximations to functions
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<td colspan="2" style="width: 100%; height: 47px;"><strong>Next 3 Weeks. Techniques of Integration.</strong></td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 09/19</td>
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<strong>Homework 3 due</strong> <br />
<strong>Topic 8:</strong> Integration by parts (🕮 §3.1)<br /><strong>Topic 9:</strong> Trigonometric integrals (🕮 §3.2)
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<td style="width: 17.4006%; text-align: left; height: 18px;">Thurs, 09/21</td>
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<strong>Quiz 2</strong><br /><strong>Topic 9:</strong> Trigonometric integrals (🕮 §3.2)
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 09/26</td>
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<strong>Topic 9:</strong> Trigonometric integrals (🕮 §3.2)
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<strong>Topic 10:</strong> Trigonometric substitution (🕮 §3.3)
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<td style="width: 17.4006%; text-align: left; height: 47px;">Thurs, 09/28</td>
<td style="width: 82.5994%; text-align: left; height: 47px;">
<strong>Homework 4 due</strong> <br />
<strong>Topic 11:</strong> Method of partial fractions (🕮 §3.4)
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<strong>Topic 12:</strong> Numerical integration (🕮 §3.6)
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 10/03</td>
<td style="width: 82.5994%; text-align: left; height: 47px;"><strong>Homework 5 due</strong>
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<strong>Lab 3:</strong> Numerical integration
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<strong>Topic 13:</strong> Improper integrals (🕮 §3.7)
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<td style="width: 17.4006%; text-align: left; height: 47px;">Thurs, 10/05</td>
<td style="width: 82.5994%; text-align: left; height: 47px;">
<strong>Quiz 3 (Integration Topics 8 – 11)</strong> <br />
Integral practice <br />
Exam 1 review
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 10/10</td>
<td style="width: 82.5994%; text-align: left; height: 47px;"><strong>Exam 1: Topics 1 – 13</strong></td>
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<td colspan="2" style="width: 100%; height: 47px;"><strong>1 Week. Differential Equations.</strong></td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Thurs, 10/12</td>
<td style="width: 82.5994%; text-align: left; height: 47px;"><strong>Topic 14:</strong> Basics of Differential Equations (🕮 §4.1)</td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 10/17</td>
<td style="width: 82.5994%; text-align: left; height: 47px;"><strong>Topic 15:</strong> Separable Differential Equations (🕮 §4.3)</td>
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<td colspan="2" style="width: 100%; height: 47px;"><strong>4.5 Weeks. Sequences and Series.</strong></td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Thurs, 10/19</td>
<td style="width: 82.5994%; text-align: left; height: 47px;">
<strong>Homework 6 due.</strong> <br />
<strong>Topic 16:</strong> Sequences (🕮 §5.1)</td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Tues, 10/24</td>
<td style="width: 82.5994%; text-align: left; height: 47px;">
<strong>Quiz 4 (Differential equations, Topics 14, 15);</strong><br />
<strong>Topic 16, part 2:</strong> Sequences <br />
<strong>Topic 17:</strong> Series (🕮 §5.2)</td>
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<td style="width: 17.4006%; text-align: left; height: 47px;">Thurs, 10/26</td>
<td style="width: 82.5994%; text-align: left; height: 47px;">
<strong>Topic 17:</strong> Series (cont'd) (🕮 §5.2) <br />
<strong>Topic 18:</strong> Divergence Test and Integral Test (🕮 §5.3)</td>
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<td style="width: 17.4006%; text-align:left; height: 47px;">Tues, 10/31
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<td style="width: 17.4006%; text-align:left; height: 47px;"> <strong>Homework 7 due.</strong> <br />
<strong>Topic 18 (cont'd):</strong>Comparison Tests (🕮 §5.4)
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<strong>Topic 19:</strong> Alternating Series (🕮 §5.5)
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<td style="width: 17.4006%; text-align:left; height: 47px;">Thurs, 11/02</td>
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<strong>Quiz 5 on Topics 16, 17, and 18</strong> <br />
<strong>Homework 8 due.</strong> <br />
<strong>Topic 20:</strong> Ratio and Root Tests (🕮 §5.6)
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<td style="width: 17.4006%; text-align:left; height: 47px;">Tues, 11/07
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<td style="width: 17.4006%; text-align:left; height: 47px;"><strong>Topic 21: </strong>Power Series (🕮 §6.1 & 6.2)
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<td style="width: 17.4006%; text-align:left; height: 47px;">Thurs, 11/09</td>
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<strong>Homework 9 due.</strong> <br />
<strong>Topic 22:</strong> Taylor and Maclaurin Series (🕮 §6.3)
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<td style="width: 17.4006%; text-align:left; height: 47px;">Tues, 11/14</td>
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<strong>Topic 23:</strong> More on Taylor series (🕮 §6.4) <br />
<strong>Lab 4:</strong> Taylor polynomials
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<td style="width: 17.4006%; text-align:left; height: 47px;">Thurs, 11/16</td>
<td style="width: 17.4006%; text-align:left; height: 47px;">
<strong>Homework 10 due.</strong> <br />
<strong>Quiz 6 on Topics 20, 21, and 22</strong><br />
Exam 2 Review
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<td style="width: 17.4006%; text-align:left; height: 47px;">Tues, 11/21
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<strong>Topic 24:</strong> Parametric curves and calculus (🕮 §7.1 & 7.2)
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<td style="width: 17.4006%; text-align:left; height: 47px;">Thurs, 11/23</td>
<td style="width: 17.4006%; text-align:left; height: 47px;">TU Holiday, no class
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<td style="width: 17.4006%; text-align:left; height: 47px;">Tues, 11/28
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<td style="width: 17.4006%; text-align:left; height: 47px;"><strong>Exam 2: Topics 14 – 23</strong>
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<td colspan="2" style="width: 100%; height: 47px;"><strong>Last 1.5 Weeks. Parametric and Polar coordinates.</strong></td>
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<td style="width: 17.4006%; text-align:left; height: 47px;">Thurs, 11/30</td>
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<strong>Topic 25:</strong> Polar coordinates (🕮 §7.3) <br />
<strong>Topic 26:</strong> Area and Arclength in Polar coordinates (🕮 §7.4)
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<td style="width: 17.4006%; text-align:left; height: 47px;">Tues, 12/05</td>
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<strong>Homework 11 due.</strong><br />
<strong>Quiz 7 on Topics 24 – 26</strong> <br />
<strong>Lab 5:</strong> Polar curves, Area and Arclength.
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<td style="width: 17.4006%; text-align:left; height: 47px;">Thurs, 12/07</td>
<td style="width: 17.4006%; text-align:left; height: 47px;">
Final Exam Review
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<td style="width: 17.4006%; text-align:left; height: 47px;">Thurs, 12/14
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<td style="width: 17.4006%; text-align:left; height: 47px;"><strong>Final Exam</strong> - 10:15 am to 12:15 pm in room YR 216.
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