Daily Assignments
October 25: Mean Value Theorem
 Due in class: Mastery Quiz 5
 Topics: M2, M3, S4, S5
 Do no more than three
 I will try to get the mastery scores from the midterm updated over the weekend, but I don’t know when that will happen (and they definitely won’t all be uploaded; there is little chance of M2 or M3 getting up before this quiz is due, sorry.)
 Read section 3.2 of the notes §3.2
 See also Strang and Herman section 4.4
October 20: Midterm!
October 18: Maxima and Minima
 Read the solutions to mastery quiz 5
 Read section 3.1 of the notes
 See also Strang and Herman section 4.3
October 13: Related Rates
October 11: Tangent Lines and Implicit Differentiation
 Be nice to Professor Lewis
 Due in Class: Mastery Quiz 5
 Topics: M2, M3, S4
 Watch Essence of Calculus chapter 6: Implicit Differentiation, what’s going on here?
 Read section 2.9 of the notes
 See also Strang and Herman section 3.8
October 6: Rates of Change and Tangent Lines
 Read the solutions to Mastery Quiz 4
 Optional worksheet on derivatives
 Read the rest of section 2.7 and 2.8 of the notes
 See also Strang and Herman §3.1.1  3.1.2
 You may find it helpful to review the 3Blue1Brown Essence of Calculus, Chapter 2. We’re engaging more with some of the geometry underlying the derivative.
October 4: Linear Approximation and Rates of Change
 Due in class: Mastery Quiz 4
 Topics: M1, M2, S3
 Read section 2.6 and the beginning of 2.7 of the notes (updated Sept 30; make sure you have the new version!)
 See also Strang and Herman Section 4.2 and section 3.4
September 29: Trigonometric Derivatives and the Chain Rule
 Read the solutions to mastery quiz 3
 Watch Essence of calculus, chapter 4: Visualizing the Chain Rule and Product Rule. (You might also go back and watch chapter 3 if you didn’t already.)
 Read section 2.45 of the notes
September 27: Computing Derivatives
 Due in class: Mastery Quiz 3
 Topics: M1 and S2, S3
 Read Solutions to Mastery Quiz 2
 Read section 2.3 of the online notes
 See also Strang and Herman section 3.3
 Watch Essence of calculus, chapter 3: Derivative Formulas Through Geometry
September 22: Linear Approximation and the Derivative
 Due: in class: Mastery Quiz 2
 Topics: M1 and S1, S2
 Read Sections 2.1 and 2.2 of the online notes.
 You may find the 3Blue1Brown Essence of Calculus, Chapter 2 helpful. It’s more on point for the next lesson, but you might want to watch it now.
September 20: Infinite Limits
 Mastery Quiz 1: M1 and S1
 Due in class
 Read Section 1.7 of the online notes.
 See also Strang and Herman, section 2.2 the part on infinite limits and section 4.6
 Read the solutions to quiz 1
September 15: Trigonometry and the Squeeze Theorem
 Mastery Quiz 1: M1 and S1
 Due in class
 Read one of
 Section 1.6 of the online notes.
 See also Strang and Herman, section 2.3 on the Squeeze Theorem
 Optional videos
September 13: Computing Limits
 Edfinity due at midnight

 Read one of
 Section 1.5 of the online notes.
 See also Strang and Herman, the rest of sections 2.3 and 2.4
 Optional Videos
September 8: Formal Limits
 Read Section 1.4 of the online notes
 See also Strang and Herman:
 section 2.5 (up until the onesided and infinite limits)
 Section 2.3 up through Example 2.15 and Checkpoint 2.11.
 See also Strang and Herman:
 Watch the first ten minutes of Essence of Calculus, Chapter 7
 If you haven’t seen derivatives before, don’t worry too much about when he mentions them. The key material I want starts about five minutes in.
 You can also ignore the L’Hospital’s Rule discussion that starts about ten minutes in. L’Hospital’s Rule is very useful, but we won’t be covering it in this class. (And even if you already know it, you may not use it in this class.)
 Optional: Play with this Geogebra widget for visualizing εδ arguments.
September 1: Informal Continuity and Limits
 Read Section 1.3 of the online notes
 You can also consulst Strang and Herman 2.2 and 2.4.
 Optional: watch The BEST explanation of limits and continuity
August 30: Syllabus and Review of Functions
 Please read the syllabus
 Claim your account on Edfinity
 Read Professor Bonin’s advice on study skills
 Read Section 1.1 of the online notes (about a page)
 Skim one of:
 Strang and Herman §1.13
 Section 1.2 of the online notes.
 Optional/bonus: Watch Essence of Calculus, Chapter 1 by 3Blue1Brown
Course Goals
This is the first semester of a standard yearlong sequence in singlevariable calculus. The main topics are limits and continuity; differentiation and integration of algebraic and trigonometric functions; and applications of these ideas. This corresponds roughly to Chapters 1–6 of Herman–Strang.
By the end of the course, students will acquire the following skills and knowledge: students will know the intuitive and formal definitions of the limit, derivative, antiderivative, and definite integral of a function. Students will be able to distinguish continuous from discontinuous functions by visual and algebraic means; to calculate derivatives of functions both by definition and using various simplification rules; to formulate and solve related rates and optimization problems; to accurately sketch graphs of functions; to calculate antiderivatives and definite integrals of a variety of functions; to compute areas of regions in the plane and volumes of solids of revolution; and to explain the significance of important theoretical results such as the Extreme Value Theorem, Mean Value Theorem, and Fundamental Theorems of Calculus.
The course syllabus is available here.
Course notes
Mastery Quizzes
 Mastery Quiz 1: M1 and S1
 Mastery Quiz 2: M1 and S1, S2
 Mastery Quiz 3: M1 and S1, S2, S3
 Mastery Quiz 4: M1, M2, S3
 Mastery Quiz 5: M2, M3, S4
 Mastery Quiz 5: M2, M3, S4, S5
Major Topics
 Computing Limits
 Computing Derivatives
 Linear Approximation
 Extrema and Optimization
 Integration
 Integral Applications
Secondary Topics
 Definition of a limit
 Squeeze theorem
 Definition of derivative
 Rates of change and models
 Related rates
 Curve sketching
 Numeric approximation
 Riemann sums
Tests
 Midterm on October 20
 Final Exam
Graphing calculators will not be allowed on tests. Scientific, nonprogrammable calculators will be allowed. I will have some to share, but not enough for everyone.
Edfinity online homework system
We will be using Edfinity for Math 123116. To enroll, please follow the steps below:
 If you already have an Edfinity account from a previous course, please sign into it. Otherwise, go to step 2.
 Go to the following registration link: https://edfinity.com/join/E4YACCKC
 You will be prompted to pay (I believe the fee should be $25) and enroll in our section.
 Start working on your assignments :)
Textbook
The official textbook for Math 1231 is OpenStax Calculus Volume 1 by Gilbert Strang and Edwin Herman. It is available for free online here. You can also buy copies from Amazon; a paperback is a little under $30.
I will be loosely following the textbook, but will often be giving my own take or focusing on topics the textbook doesn’t emphasize. All my course notes will be posted to the course web page.