We’ll use this page to keep track of what has happened each day in class. It won’t contain any of the nitty-gritty details, but will instead serve to summarize what has transpired each day.

Week 1

  • Wednesday, August 12: First Day! We spent the majority of the time discussing logistics. In particular, we did a brief overview of Zoom (chat, raise/lower hand, thumbs up, breakout rooms, polling) and toured the course webpage and BbLearn.
  • Thursday, August 13: After spending time discussing questions on the syllabus, we tackled several homework questions.
  • Friday, August 14: We kicked off by answering a couple homework questions and then I started Section 2.1: Rates of Change, Limits, and Tangent Lines. In particular, we discussed average rate of change and introduced instantaneous rate of change as the slope of the tangent line.

Week 2

  • Monday, August 17: First, we wrapped up Section 2.1. This entailed understanding how to approximate the slope of a tangent line by using secant lines. This was followed by answering a couple homework questions. We spent the last bit of class getting started on Section 2.2: Limits: A Numerical and Graphical Approach. We focused on a graphical approach.
  • Wednesday, August 19: We wrapped up Section 2.2 and then answered a couple homework questions at the end.
  • Thursday, August 20: We cranked through Section 2.3: Limit Laws.
  • Friday, August 21: We covered about half of Section 2.4: Limits and Continuity. At the very end, I answered a couple questions about homework.

Week 3

  • Monday, August 24: I continued lecturing over Section 2.4: Limits and Continuity.
  • Wednesday, August 26: We wrapped up Section 2.4 and started Section 2.5: Evaluating Limit Algebraically.
  • Thursday, August 27: We wrapped up Section 2.5 after discussing logistics for next week.
  • Friday, August 28: I lectured over Section 2.6: Trig Limits. This included discussion of the Squeeze Theorem.

Week 4

  • Monday, August 31: We wrapped up Section 2.6 and cranked through Section 2.7: Limits at Infinity.
  • Wednesday, September 2: I did one more example from Section 2.7 and then started Sections 3.1/3.2, which introduce derivatives.
  • Thursday, September 3: We spent a few minutes more on Sections 3.1/3.2 and then reviewed for the exam.
  • Friday, September 4: Students took the in-class portion of Exam 1.

Week 5

  • Monday, September 7: Labor Day. No classes!
  • Wednesday, September 9: I continued discussing Sections 3.1/3.2.
  • Thursday, September 10: More discussion of Sections 3.1/3.2.
  • Friday, September 11: We wrapped up Sections 3.1/3.2 and started Section 3.3.

Week 6

  • Monday, September 14: I lectured over Section 3.7: The Chain Rule. We will go back to Sections 3.6 and 3.5 over the next few days.
  • Wednesday, September 16: We discussed Section 3.6, which introduced the derivatives of the 6 trigonometric functions.
  • Thursday, September 17: I covered Section 3.5: Higher Derivatives.
  • Friday, September 18: I lectured over most of Section 3.8: Implicit Differentiation.

Week 7

  • Monday, September 21: We wrapped up Section 3.8 Implicit Differentiation.
  • Wednesday, September 23: I lectured over Section 3.9: Derivatives of Exponentials and Logarithms.
  • Thursday, September 24: I wrapped up Section 3.9 and then discussed a technique known as logarithmic differentiation.
  • Friday, September 25: We started discussing Section 3.10: Related Rates.

Week 8

  • Monday, September 28: We wrapped up Section 3.10: Related Rates.
  • Wednesday, September 30: Today, we discussed approximations using tangent lines. This went quickly and then we did some more related rates stuff.
  • Thursday, October 1: We spent the majority of the class meeting reviewing for the upcoming exam.
  • Friday, October 2: The students took Part 1 of Exam 2.

Week 9

  • Monday, October 5: We started discussing Section 4.2: Extreme Values.
  • Wednesday, October 7: We continued with Section 4.2.
  • Thursday, October 8: Zoom stopped working on us, so we threw in the towel.
  • Friday, October 9: We got halfway through Section 4.3: The Mean Value Theorem and Monotonocity.

Week 10

  • Monday, October 12: We wrapped up Section 4.3 and discussed the relationship between increasing/decreasing and the derivative.
  • Wednesday, October 14: We discussed Section 4.4: The Shape of a Graph.
  • Thursday, October 15: We got most of the way through Section 4.5: L'Hospital's Rule.
  • Friday, October 16: After revisiting Problem 8 from Daily Homework 26, we tackled more examples of L'Hospital's Rule.

Week 11

  • Monday, October 19: After cranking out one more example of L'Hospital's Rule, we started Section 4.7: Applied Optimization.
  • Wednesday, October 21: We tinkered around with a couple more optimization problems.
  • Thursday, October 22: We covered Section 5.3: The Indefinite Integral.
  • Friday, October 23: We wrapped up Section 5.3 and discussed a couple problems on Weekly Homework 6.

Week 12

  • Monday, October 26: We started discussing Sections 5.1 and 5.2.
  • Wednesday, October 28: More discussion of Section 5.1 and 5.2. In particular, we introduced the formal definition of the definite integral.
  • Thursday, October 29: We wrapped up our formal introduction to the definite integral.
  • Friday, October 30: Review day for Exam 3.

Week 13

  • Monday, November 2: Students took Part 1 of Exam 3.
  • Wednesday, November 4: After discussing a couple problems from, Parts 1 and 2 of Exam 3, we started discussing the Fundamental Theorem of Calculus (Sections 5.4 and 5.5).
  • Thursday, November 5: We spent some time discussing problems on the take-home exam and then continued doing more examples involving the Fundamental Theorem of Calculus (FTC1).
  • Friday, November 6: We discussed the second part of the Fundamental Theorem of Calculus (FTC2) and did lots of examples.

Week 14

  • Monday, November 9: We discussed Section 5.6: Net Change as an Integral of a Rate of Change.
  • Wednesday, November 11: Veteran's Day. No classes.
  • Thursday, November 12: We wrapped up Section 5.6 and then started Section 5.7: Substitution.
  • Friday, November 13: After a short discussion about differentials, we cranked through lots of examples involving integration by substitution.

Week 15

  • Monday, November 16: Lots of examples of integration by substitution!
  • Wednesday, November 18: We spent some time reviewing today. In particular, we discussed limits, tangent lines, Mean Value Theorem, optimization, and implicit differentiation.

Dana C. Ernst

Mathematics & Teaching

  Northern Arizona University
  Flagstaff, AZ
  Google Scholar
  Impact Story

Current Courses

  MAT 411: Abstract Algebra
  MAT 690: Genome Combinatorics

About This Site

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Land Acknowledgement

  Flagstaff and NAU sit at the base of the San Francisco Peaks, on homelands sacred to Native Americans throughout the region. The Peaks, which includes Humphreys Peak (12,633 feet), the highest point in Arizona, have religious significance to several Native American tribes. In particular, the Peaks form the Diné (Navajo) sacred mountain of the west, called Dook'o'oosłííd, which means "the summit that never melts". The Hopi name for the Peaks is Nuva'tukya'ovi, which translates to "place-of-snow-on-the-very-top". The land in the the area surrounding Flagstaff is the ancestral homeland of the Hopi, Ndee/Nnēē (Western Apache), Yavapai, A:shiwi (Zuni Pueblo), and Diné (Navajo). We honor their past, present, and future generations, who have lived here for millennia and will forever call this place home.