## Calculus I

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

**Monday, January 14:**Our first day! Dana attempted to learn names and then spent some time discussing the syllabus and course expectations.**Wednesday, January 16:**After some brief announcements and reminders, Dana discussed functions. This was a presented as a summary and intended to be review. The last 30 minutes of class was spent having students work on Are You Ready for Calculus? Questions (PDF). We’ll have a similar day on Thursday.**Thursday, January 17:**Dana spent some time at the beginning of class discussing WeBWork and then gave a brief lecture on inverse functions. The last 15 minutes of class was spent having students work in groups on the second half of Are You Ready for Calculus? Questions (PDF).**Friday, January 18:**Class began with Dana spending some time discussing our use of a Google Group to manage our course forum. The remainder of class was spent reviewing the basics of polynomials, lines, simple rational functions, and function transformations.

## Week 2

**Monday, January 21:**No class! MLK Day.**Wednesday, January 23:**After some brief announcements, Dana spent the rest of the time reviewing trigonometry.**Thursday, January 24:**The first half of class was spent discussing Section 1.1: How do we measure velocity? (PDF). Students worked in small groups on Activities 1.1-1.3 for the remainder of class.**Friday, January 25:**A few students presented solutions to problems from Weekly Homework 2 (PDF) and then the class continued working in small groups on Activities 1.1-1.3.

## Week 3

**Monday, January 28:**Dana spent the entire class lecturing over Section 1.2: The notion of a limit (Part 1) (PDF).**Wednesday, January 30:**The first half of class was spent on discussing Section 1.2: The notion of a limit (Part 2) (PDF) and students worked on the problems from Activity 1.4 for the remainder of class.**Thursday, January 31:**Dana lectured over Section 1.2: The notion of a limit (Part 3) (PDF), which introduced limits at infinity and the Squeeze Theorem.**Friday, February 1:**After a short lecture on the portion of Section 1.7: Limits, Continuity, and Differentiability (Part 1) (PDF) covering continuity, students worked in groups on Activity 1.19. We’ll come back to the rest of Section 1.7 later in the semester.

## Week 4

**Monday, February 4:**We spent the entire class session discussing Section 1.3: The derivative of a function at a point (PDF).**Wednesday, February 6:**After a short lecture on Section 1.4: The derivative function (no handout), the students worked in groups on Activities 1.10 and 1.11.**Thursday, February 7:**We spent the class session discussing and reviewing for Exam 1.**Friday, February 8:**The students took Exam 1.

## Week 5

**Monday, February 11:**Dana was out of town and Drew Baumgartel covered class. Drew spent the class session discussing Section 1.8: The Tangent Line Approximation.**Wednesday, February 13:**We spent the entire class session discussing Section 2.1: Elementary derivative rules (part 1) (PDF).**Thursday, February 14:**Dana lectured over Section 2.3: The Product and Quotient Rules and then the students worked on Activities 2.8(c) and 2.9(e) from Active Calculus.**Friday, February 15:**After discussing Section 2.5: The Chain Rule, students worked on Activity 2.15(b)(d).

## Week 6

**Monday, February 18:**Dana spent the entire class session discussing Section 2.1: Elementary derivative rules (part 2), which introduced the derivative of exponential functions.**Wednesday, February 20:**Snow day!**Thursday, February 21:**We covered Sections 2.2 and 2.4, which introduced the derivatives of the 6 trig functions.**Friday, February 22:**Dana lectured over the first half of Section 2.6: Derivatives of inverse functions and then the students took their first Gateway Quiz (PDF) in pairs.

## Week 7

**Monday, February 25:**We discussed the second half of Section 2.6: Derivatives of inverse functions and then the students Gateway Quiz 2 (PDF).**Wednesday, February 27:**After answering a few questions about the previous Gateway Quiz, Dana lectured over logarithmic differentiation.**Thursday, February 28:**We spent most of the class session reviewing for Friday’s exam. Students also took Gateway Quiz 3 (PDF).**Friday, March 1:**The students took Exam 2.

## Week 8

**Monday, March 4:**First, Dana lectured over Section 2.6: Derivatives of Functions Given Implicitly. After that the students worked in small groups on Activity 2.19.**Wednesday, March 6:**Dana handed back Exam 2 and spent some time discussing a few of the commonly missed problems. In addition, he spent some time discussing his disappoint with apparent cheating. The students have been warned. The last 30 minutes of class were spent covering Section 2.8: Using Derivatives to Evaluate Limits, which introduces L’Hospital’s Rule.**Thursday, March 7:**Class began with Dana discussing one of the commonly missed problems from Exam 2. After that, we discussed an additional example that required the use of L’Hospital’s Rule. The second half of class was spent covering the first half of Section 3.1: Using derivatives to identify extreme values of a function.**Friday, March 8:**As with the previous two class meetings, Dana reviewed one of the commonly missed problems from Exam 2. Afterwards, Dana covered the remaining material from Section 3.1: Using derivatives to identify extreme values of a function.

## Week 9

**Monday, March 11:**Dana missed class and Sarah Brown covered for him. Sarah covered Section 3.3: Global Optimization.**Wednesday, March 13:**Dana did a quick review of Section 3.3 and then dove into Section 3.4: Applied Optimization (PDF), which involves maximizing or minimizing function arising from “real-world” problems.**Thursday, March 14:**We spent the entire class session doing more optimization examples.**Friday, March 15:**The whole class meeting was spent discussing examples of Function Analysis (PDF), which involves sketching graphs of functions using calculus techniques.

## Week 10

**Monday, March 25:**It seems everyone survived Spring Break. Dana began class by doing one more example of Function Analysis. After that, we dove into Section 3.5: Related Rates (PDF). We’ll work on this topic some more on Wednesday.**Wednesday, March 27:**Dana was away at a conference and Sarah Brown covered class. Sarah finished working through examples from Section 3.5: Related Rates (PDF).**Thursday, March 28:**Dana was out sick and class was cancelled.**Friday, March 30:**We spent the entire class session reviewing for Monday’s exam. Most of the time was spent discussing problems from Weekly Homework 8 (PDF).

## Week 11

**Monday, April 1:**The students took Exam 3.**Wednesday, April 3:**We spent the entire class session discussing the Mean Value Theorem.**Thursday, April 4:**After answering a few homework questions, we spent the rest of the class session discussing Exam 3.**Friday, April 5:**We covered the first half of Section 4.1: Determining Distance Travelled from Velocity.

## Week 12

**Monday, April 8:**We wrapped up Section 4.1: Determining Distance Travelled from Velocity. In particular, we discussed the case when the velocity function is sometimes negative.**Wednesday, April 10:**First, we briefly discussed a couple homework problems. Next, we discussed the intuitive approach to the definite integral as signed area.**Thursday, April 11:**We covered Sections 4.2 & 4.3: Riemann sums and the definite integral.**Friday, April 12:**We spent the entire class session covering the first half of the notes for Indefinite integrals (PDF).

## Week 13

**Monday, April 15:**We wrapped up the notes for Indefinite integrals (PDF).**Wednesday, April 17:**An important day! We covered Section 4.4: The Fundamental Theorem of Calculus (PDF), which introduces Part 1 of the Fundamental Theorem of Calculus.**Thursday, April 18:**We spent the entire class session discussing Section 5.2: The Second Fundamental Theorem of Calculus (PDF).**Friday, April 19:**We covered Section 5.3: Substitution (PDF), which introduces one of many important techniques of integration.

## Week 14

**Monday, April 22:**We covered Section 5.4: Integration by Parts (PDF).**Wednesday, April 24:**Dana was out of town. Drew filled in during his absence and completed several examples of integration by parts.**Thursday, April 25:**We spent the whole class session reviewing for Exam 4.**Friday, April 26:**The students took Exam 4.

## Week 15

**Monday, April 29:**Today was our last day of new material. We discussed the calculus of Falling Objects (PDF).**Wednesday, May 1:**We started reviewing for the final exam.**Thursday, May 2:**Another day spent reviewing for the final. Students worked in groups on the previous exams.**Friday, May 3:**Last day of the semester! Students worked in groups again as they discussed problems from the previous exams.