Daily Assignments
Optional Review Stuff
One of the biggest sources of difficulty in calculus is weak or underprepared skills at algebra and trigonometry. If you want to succeed in this course, you should be comfortable with:
 Multiplying and factoring polynomials;
 Multiplying and dividing fractions and rational functions;
 Working with exponents;
 Working with trigonometric functions and the unit circle.
I don’t have any organized review materials for these topics, but if you want to brush up on them, you may want to look at:
 OpenStax College Algebra chapters 1 and 5;
 OpenStax Precalculus chapter 5.
Week 1: January 15 – 19
January 16: Syllabus and Functions
 Please read the syllabus
 Claim your account on WeBWorK through Blackboard.
 Read Professor Bonin’s advice on study skills
 Slides from today’s class
 Read Section 1.1 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
January 18: Estimation
 Read Section 1.23 of the online notes
 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
January 19: Recitation on Estimation
Week 2: January 22 – 26
January 23: Continuity and Computing Limits
 Mastery Quiz 1 due
 Topics: S1
 Single Sheet
 Answer Blanks
 Read Section 1.4 of the online notes
 Optional Videos:
January 25: More on Limits
 Read the solutions to mastery quiz 1
 Read Section 1.5 of the online notes
 You can also consult Strang and Herman 2.3.6
 Bonus video: Math at Andrews on the Squeeze Theorem
January 26: Recitation 2 on Computing Limits
Week 3: January 29 – February 2
January 30: Infinite Limits
 Mastery Quiz 2 due
 Topics: M1, S1
 Single Sheet
 Answer Blanks
 Read Section 1.6 of the online notes
 You can also consult Strang and Herman the part of section 2.2 on infinite limits and section 4.6
February 1: Intro to Derivatives
 Read the Solutions to Mastery Quiz 2
 Read Section 2.12 of the online notes
 You may find the 3Blue1Brown Essence of Calculus, Chapter 2 helpful.
February 2: Recitation 3 on Advanced Limits
 Skills quiz on M1: computing limits
 Covers all our limit computation techniques, starting from August 31
 Recitation 3 Worksheet
Week 4: February 5 – 9
February 6: Computing Derivatives
 Mastery Quiz 3 due
 Topics: M1
 Single Sheet
 Answer Blanks
 Check the solutions to Skills Quiz 1
 Read Section 2.3 of the online notes
 See also Strang and Herman, section 3.3.
February 8: Trig Derivatives and Chain Rule
 Read the solutions to mastery quiz 3
 Read Section 2.45 of the online notes
 It is very important to practice taking derivatives quickly and easily.
 There are a collection of practice problems at IXL.
 I have a practice worksheet of especially challenging derivatives, with solutions. Nothing anywhere near this challenging will appear on this test, but these are a good way to push yourself if you want some extrachallenging practice.
February 9: Recitation 4 on taking derivatives
Week 5: February 12 – 16
February 13: Linear Approximations and Speed
 Mastery Quiz 4 due
 Topics: M1, M2, S2
 Single Sheet
 Answer Blanks
 Read the solutions to skills quiz 1
 Read Sections 2.6 and 2.7.1 of the online notes
February 15: Rates of Change and Tangent Lines
 Read the solutions to Mastery Quiz 4
 Read Sections 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
February 16: Recitation 5 on linear approximation
Week 6: February 19 – 23
February 20: Implicit Differentiation and Tangent Lines
 Mastery Quiz 5 due
 Topics: M1, M2, S2, S3
 In order to post solutions as soon as possible, I will probably not accept late submissions.
 Single Sheet
 Answer Blanks
 Read Section 2.9 of the online notes
 See also Strang and Herman, section 3.8
February 22: Midterm 1
 Read the solutions to Mastery Quiz 5
 Look at Practice Midterm 1
February 23: Recitation 6 on Rates of Change
Week 7: February 26 – March 1
February 27: Related Rates
 Mastery Quiz 6 due
 Topics: M2, S3, S4
 Single Sheet
 Answer Blanks
 Read Section 2.10 of the online notes
 See also Strang and Herman, section 4.1
February 29(!): Absolute Extrema
 Read the Solutions to Midterm 1
 Read the solutions to Mastery Quiz 6
 Read Section 3.1 of the online notes
 See also Strang and Herman, section 4.3
March 1: Recitation 7 on Related Rates
Week 8: March 4 – 8
March 5: Mean Value Theorem
 Mastery Quiz 7 due
 Topics: M2, S4, S5, S6
 Single Sheet
 Answer Blanks
 Read Section 3.2 of the online notes
 See also Strang and Herman, section 4.4
March 7: Classifying Extrema
 Read the solutions to Mastery Quiz 7
 Read Section 3.3 of the online notes
 See also Strang and Herman, section 4.5
March 8: Recitation 8 on absolute extrema and the Mean Value Theorem
Spring Break: March 1115
No class! Go have fun!
Week 9: March 18 – 22
March 19: Concavity and Curve Sketching
 Mastery Quiz 8 due
 Topics: M3, S5, S6
 Single Sheet
 Answer Blanks
 Read Section 3.45 of the online notes
 See also Strang and Herman, section 4.5
March 21: Physical Optimization Problems
 Read the solutions to Mastery Quiz 8
 Read Section 3.6 of the online notes
 See also Strang and Herman, section 4.7
March 22: Recitation 9
 Skills Quiz 3 on Major Topic 3
 Recitation 9 Worksheet
Week 10: March 25 – March 29
March 26: The Area Problem
 Mastery Quiz 9 due
 Topics: M3, S7, S8
 Like with the last midterm, I will not be accepting late submissions so I can get the solutions up quickly
 Single Sheet
 Answer Blanks
 Midterm next class! Do the practice midterm!
 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.
March 28: Midterm 2
 Read the Solutions to Mastery Quiz 9
 Midterm 2
 Topics: M3, S4, S5, S6, S7, S8
 Practice Midterm 2
March 29: Recitation 10 on Physical Optimization
Week 11: April 1 – 5
April 2: The Definite Integral
 Mastery Quiz 10 due
 Topics: M3, S7, S8
 Single Sheet
 Answer Blanks
 Read the Solutions to Midterm 2
 Read Section 5.2 of the online notes
 See also Strang and Herman, section 5.2
April 4: The Fundamental Theorem of Calculus, Part 1
 Read the solutions to Mastery Quiz 10
 Read Section 5.3 of the online notes
 See also Strang and Herman, section 5.3
 Watch the rest of Essence of Calculus Episode 8
April 5: Recitation 11 on Riemann Sums
Week 12: April 8 – 12
April 9: Computing Integrals and the FTC Part 2
 Mastery Quiz 11 due
 Topics: M3, S8, S9
 Single Sheet
 Answer Blanks * Read Section 5.4 of the online notes
 See also Strang and Herman, section 5.4
April 11: Integration by Substitution
 Read the Solutions to Mastery Quiz 11
 Read Section 5.5 of the online notes
 See also Strang and Herman, section 5.5
April 12: Recitation 12 on integration
Week 13: April 15 – 19
April 16: Finding Areas
 Mastery Quiz 12 due
 Topics: M4, S9
 Single Sheet
 Answer Blanks
 Read Section 6.1 of the online notes
 See also Strang and Herman, section 6.1
April 18: Physical and Economic Applications
 Read the solutions to mastery quiz 12
 Practice final is posted!
 Read section 6.2 of the online notes
 See also Strang and Herman, section 6.5
April 19: Recitation 13 on substitution and area
Week 14: April 22 – 26
April 23: Volumes by Slices
 Mastery Quiz 13 due
 Topics: M4, S10
 Single Sheet
 Answer Blanks
 Read Section 6.3 of the online notes
 See also Strang and Herman, section 6.2
April 25: Volumes by cylindrical shells
 Read the solutions to mastery quiz 13
 Read Section 6.4 of the online notes
 See also Strang and Herman, section 6.3
April 26: Recitation 14 on integral applications
Finals Week
April 30: Optional Mastery Quiz Due
 Optional Mastery Quiz 14 due Extended to May 1
 Topics: M4, S10
 Single Sheet
 Answer Blanks
 Read the solutions to mastery quiz 14
Office Hours Schedule
Monday April 29: 35:30Canceled Tuesday, April 30: 25 On Zoom (see email)
 Wednesday, May 1: 35:30
 Thursday, May 2: 25

Friday, May 3: 24:30
 Monday, May 6: 37
 Tuesday, May 7: 2:304
Final Exam Tuesday, May 7 5:20 &ndash 7:20 PM
 Practice Final
Course notes
Skills Quiz Solutions
Mastery Quizzes
 Mastery Quiz 1 due Tuesday, January 23
 Topics: S1
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 2 due Tuesday, January 30
 Topics: M1, S1
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 3 due Tuesday, February 6
 Topics: M1
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 4 due Tuesday, February 13
 Topics: M1, M2, S2
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 5 due Tuesday, February 20
 Topics: M1, M2, S2, S3
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 6 due Tuesday, February 27
 Topics: M2, S3, S4
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 7 due Tuesday, March 5
 Topics: M2, S4, S5, S6
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 8 due Tuesday, March 19
 Topics: M3, S5, S6
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 9 due Tuesday, March 26
 Topics: M3, S7, S8
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 10 due Tuesday, April 2
 Topics: M3, S7, S8
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 11 due Tuesday, April 9
 Topics: M3, S9
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 12 due Tuesday, April 16
 Topics: M4, S9
 Single Sheet
 Answer Blanks
 Solutions
 Mastery Quiz 13 due Tuesday, April 23
 Topics: M4, S10
 Single Sheet
 Answer Blanks
 Solutions
 Optional Mastery Quiz 14 due Tuesday, April 30
 Topics: M4, S10
 Single Sheet
 Answer Blanks
 Solutions
Major Topics
 Computing Limits
 Computing Derivatives
 Extrema and Optimization
 Integration
Secondary Topics
 Estimation
 Definition of derivative
 Linear Approximation
 Rates of change and models
 Implicit Differentiation
 Related rates
 Curve sketching
 Physical Optimization Problems
 Riemann sums
 Integral Applications
Tests
 Midterm on February 22
 Topics: M1, M2, S1, S2, S3
 Practice Midterm 1
 Solutions to Midterm 1
 Midterm on March 28
 Topics: M3, S4, S5, S6, S7, S8
 Practice Midterm 2
 Solutions to Midterm 2
 Final Exam Tuesday, May 7 5:20 &ndash 7:20 PM
 As scheduled by the registrar
 Per the syllabus, you will not be excused from the final if you schedule travel during finals week; if you must buy your plane ticket before the registrar announces final exam, please make sure it departs after May 10.
 Practice Final
Calculators will not be allowed on tests.
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.
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.