Daily Assignments
December 14 at 5:20 PM: Final Exam
 Final Exam on Wednesday December 14, 5:20  7:20 PM
 As scheduled by the registrar
 Practice Final
 Test Rules:
 You are not allowed to consult books or notes during the test, but you may use a onepage, twosided, handwritten cheat sheet you have made for yourself ahead of time.
 You may not use a calculator. You may leave answers unsimplified, except you should compute trigonometric functions as far as possible.
 The exam covers all the mastery topics from this course, but primarily the major topics and topic S8.
 Each part of each major topic is worth 10 points. The question on topic S8 is worth 10 points.
 The questions on topics S1 through S6 are optional. Answering one correctly can earn you up to two bonus points on the test. More importantly, answering one correctly can raise your overall mastery score.
 Solutions to Mastery Quiz 12
December 12: Volumes of Solids of Revolution
 Mastery Quiz 12 due Monday December 12
 Topics M5, M6
 I will not be accepting quizzes submitted later than Monday night. I want to post the quiz solutions promptly so you can have them before Wednesday’s final.
 Single Sheet
 Answer Blanks
 Read section 6.4 of the online notes.
 See also Strang and Herman, section 6.2
December 9: Recitation 14 on Integral Applications
December 7: Physical Applications
 Read the Solutions to Mastery Quiz 10

Read the Solutions to Mastery Quiz 11
 Read sections 6.23 of the online notes.
 See also Strang and Herman, section 6.5
December 5: Areas and Averages
 Mastery Quiz 11 due Monday December 5
 Topics M4, M5, S8
 Single Sheet
 Answer Blanks
 Read section 6.1 of the online notes.
 See also Strang and Herman, section 6.1
December 2: Recitation 13 on Integration
November 30: Integration by Substitution
 Read the Midterm 2 Solutions
 Read section 5.5 of the online notes.
 See also Strang and Herman, section 5.5
November 28: Computing Integrals and the Fundamental Theorem of Calculus, Part II
 Read the Midterm 2 Solutions
 Read the solutions to Mastery Quiz 10.
 Read section 5.4 of the online notes.
 See also Strang and Herman, section 5.4
November 21: Integral Properties and the Fundamental Theorem of Calculus, Part I
 Mastery Quiz 10 due
 Topics M4, S6, S8
 Single Sheet
 Answer Blanks
 Read section 5.3 of the online notes.
 See also Strang and Herman, section 5.3
November 18: Recitation 12 on Riemann Sums
November 16: Riemann Sums and the Definite Integral
 The class recording is posted under “Zoom Meetings” on Blackboard
 Read section 5.2 of the online notes.
 See also Strang and Herman, section 5.2
November 14: The Area Problem
 The class recording is posted under “Zoom Meetings” on Blackboard
 Read section 5.1 of the online notes.
 See also Strang and Herman, section 5.1
 Watch the first 8 minutes or so of Essence of Calculus Episode 8
 This GeoGebra widget is helpful for visualizing what’s going on.
 You may also wish to skim Section 4 of the notes, which we won’t be covering in class.
November 9: Midterm 2
 Read the solutions to Mastery Quiz 9
 Practice Midterm 2
November 7: Physical Optimization Problems
 Mastery Quiz 9 due Monday November 7
 Topics M4, S6
 Single Sheet
 Answer Blanks
 Read section 3.6 of the online notes.
 See also Strang and Herman, section 4.7
November 4: Recitation 10 on Curve Sketching
November 2: The Shape of a Graph
 Read the solutions to quiz 8.
 Read sections 3.45 of the online notes.
 See also Strang and Herman, section 4.5
October 31: Classifying Extrema
 Mastery Quiz 8 due Monday October 31
 Topics M2, M3, M4, S5
 Single Sheet
 Answer Blanks
 Read Section 3.3 of the online notes.
 See also Strang and Herman, section 4.5
October 28: Recitation 9 on Extrema and the Mean Value Theorem
October 26: The Mean Value Theorem
 Mastery Quiz 7 due
 Topics M2, M3, S4, S5
 Single Sheet
 Answer Blanks
 Read Section 3.2 of the online notes.
 See also Strang and Herman, section 4.4
October 24: Fall Break, No Class
October 21: Recitation 8 on Related Rates and Extrema
October 19: Extrema and Critical Points
 Read Section 3.1 of the online notes.
 See also Strang and Herman, section 4.3
October 17: Related Rates
 Mastery Quiz 6 due
 Topics M2, M3, S4
 Single Sheet
 Answer Blanks
 Read Section 2.10 of the online notes.
 See also Strang and Herman, section 4.1
October 14: Recitation 7 on Derivative Applications
October 12: Implicit Differentiation
 Read the Midterm 1 Solutions
 Read Section 2.9 of the online notes.
 See also Strang and Herman, section 3.8
October 10: Rates of Change and Tangent Lines
 Mastery Quiz 5 due
 Topics M1, M2, M3, S3
 Single Sheet
 Answer Blanks
 Read Section 2.7.2 and 2.8 of the online notes.
 See also Strang and Herman, section 3.4 and also you can look back at 3.1.13.1.2
October 7: Recitation 6 on Linear Approximation and Rates of Change
October 5: Midterm 1
 You may bring a onesided, handwritten cheat sheet on lettersize or A4size paper. You may not bring a calculator.
 Practice Midterm 1
October 3: Linear Approximation and Rates of Change
 Read Section 2.6 and 2.7.1 of the online notes.
September 30: Recitation 5 on computing derivatives
September 28: The Chain Rule
 Read the solutions to Mastery Quiz 4
 Read Sections 2.5 of the online notes.
 See also Strang and Herman, section 3.6
September 26: Computing the Derivative
 Mastery Quiz 4 due
 Topics M1, S2, S3
 Single Sheet
 Answer Blanks
 Read Sections 2.34 of the online notes.
September 23: Recitation 4 on infinite limits and the derivative definition
September 21: The Derivative
 Read the solutions to mastery quiz 3
 Read Section 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 19: Intro to the Derivative
 Mastery Quiz 3 due
 Topic M1, S2
 Single Sheet
 Answer Blanks
 Read Section 2.1 of the online notes.
 See also Strang and Herman, section 3.1
September 6: Recitation 3 Advanced Limits
September 14: Infinite Limits
 Read the solutions to mastery quiz 2
 Read Section 1.6 of the online notes
 You can also consult Strang and Herman, section 2.2 the part on infinite limits and section 4.6
September 12: Trigonometric Limits and the Squeeze Theorem
 Mastery Quiz 2 due
 Topic M1, S1
 Single Sheet
 Answer Blanks
 If you got a 2/2 on Topic S1: Estimation last week, you do not need to submit it again. Everyone should submit Topic M1: Computing Limits.
 Read Section 1.5 of the online notes
 You can also consult Strang and Herman 2.3.6
 Optional Videos:
September 9: Recitation 2 on Computing Limits
September 7: Continuity and Computing Limits
 Mastery Quiz 1 due
 Topic S1
 Single Sheet
 Answer Blanks
 Read Section 1.4 of the online notes
 You can also consult Strang and Herman 2.3 (Except 2.3.6) and 2.4.
 Optional: watch The BEST explanation of limits and continuity
September 2: Recitation on Approximation
August 31: Approximation and Limits
 Read Section 1.3 of the online notes
 You can also consult Strang and Herman 2.2 and 2.5.
 Optional: Play with this Geogebra widget for visualizing the relationships between ε and δ for different functions.
 Optional videos:
 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.
 Khan Academy has a series of videos that might be helpful. I’m linking the second, but the third and fourth in this series are also good for understanding limit arguments better.
 Watch the first ten minutes of Essence of Calculus, Chapter 7
August 29: Syllabus and Review of Functions
 Please read the syllabus
 Claim your account on WeBWorK though Blackboard.
 Read Professor Bonin’s advice on study skills
 Read Section 1.12 of the online notes (about a page)
 Skim Strang and Herman §1.13 to remind yourself of precalculus material.
 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 due Wednesday September 7
 Topic S1
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 2 due Monday September 12
 Topic M1, S1
 Single Sheet
 Answer Blanks
 If you got a 2/2 on Topic S1: Estimation last week, you do not need to submit it again. Everyone should submit Topic M1: Computing Limits.
 Solutions
 Mastery Quiz 3 due Monday September 19
 Topic M1, S2
 Single Sheet
 Answer Blanks
 You should submit both topics
 Solutions
 Mastery Quiz 4 due Monday September 26
 Topics M1, S2, S3
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 5 due Monday October 10
 Topics M1, M2, M3, S3
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 6 due Monday October 17
 Topics M2, M3, S4
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 7 due Wednesday October 26
 Topics M2, M3, S4, S5
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 8 due Monday October 31
 Topics M2, M3, M4, S5
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 9 due Monday November 7
 Topics M4, S6
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 10 due Monday November 21
 Topics M4, S6, S8
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 11 due Monday December 5
 Topics M4, M5, S8
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 12 due Monday December 12
 Topics M5, M6
 Single Sheet
 Answer Blanks
 Solutions
Major Topics
 Computing Limits
 Computing Derivatives
 Linear Approximation
 Extrema and Optimization
 Integration
 Integral Applications
Secondary Topics
 Estimation
 Squeeze theorem
 Definition of derivative
 Rates of change and models
 Related rates
 Curve sketching
 [Canceled for time]
 Riemann sums
Tests
 Midterm on October 5
 Practice Midterm 1
 Midterm 1 Solutions
 Midterm on November 9
 Practice Midterm 2
 Midterm 2 Solutions
 Final Exam on Wednesday December 14, 5:20  7:20 PM
 As scheduled by the registrar
 Practice Final
 Solutions
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.
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.
We will be using a (free!) online homework system called WeBWorK this term. You can access it by going to Blackboard, then to “Course Links”, and clicking the WeBWorK link. This will automatically create an account for you and log you in. You may continue to log in through Blackboard, or if you wish you may create a password within WeBWorK to log in directly.