Here is where you can find the details about what is happening inside and outside of class each day of the semester. You'll find the key topics that are covered that day, the homework assignments and assessments that need to be completed, links to videos, and lecture notes for downloading.

"This is the plan, until it is no longer the plan"!
       Words to live by in the time of Corona.

• Very important: Make sure you know how to sign into Zoom using your @login.cuny.edu account. Check your email or our Campuswire community for the link to join the class Zoom Room on Monday morning.
• Sign on to our Campuswire Community. Join using your QC email account and sign up using code 1193. Reminder: Your QC Email will look something like Alicia.Lastname42@qmail.cuny.edu.
• Explore Campuswire. The "Class Feed" is where you can should ask questions and where announcements will be posted. In the Class Feed there is a post asking you to say hi and share a fun link. Please contribute.
• Visit our Flipgrid page and record a 1-minute introductory video about yourself. Click on "Join with Microsoft" and use your Queens College email account to log in.
• Follow the instructions on the Course Syllabus page to get access to Mathematica online and install Mathematica on your home computer. Again, Remember to use your QC account when you sign up!
• Get pumped to join us on Zoom at 8:45am on Monday, February 1!

• Introductions and getting to know each other
• Syllabus Discussion
• Group discussion: What is calculus?
• Material from Sections 10.1 and 10.2
• Three-dimensional Cartesian coordinates
• Vectors
• Using Mathematica to visualize 3D coordinates

• Cute animated video about the basics of 3D coordinates.
• Information about typing mathematics using LaTeX.
• A mathematician talking about making mistakes to gain insights.
• Advice for Being Great At Anything

• Thoroughly read through the class web page including the syllabus. This should answer all the questions that you may have about the class. Next, take the syllabus quiz. Retake the quiz as many times as necessary to earn a score of 100%.
• Complete this Doodle to let me know when you would be available for office hours during a normal Monday–Friday week.
• Make sure you are able to log on to Webwork. Create and Download a PDF of your first homework assignment there on Monday's material. Your user name is your CAMS username in all lower case, like alastname100 for Alicia Lastname. Your password is your CAMS password. You can check that you have the correct username and password by logging into CAMS. If you try and are unable to login, send me an email to let me know!!!
• Watch the following video lectures on material from Sections 10.2–10.3. Ask one question on the "Daily Question for February 3" post on our Campuswire Community about something that was confusing or for which you'd like additional information. I will use your questions to start off class.
• Vector Basics (20 minutes) (Part of Section 10.2)
• The Dot Product (21 minutes) (Part of Section 10.3)
• Projections (10 minutes) (Part of Section 10.3)
• We are going to discuss Vectors in Physics in class (Parts of Sections 10.2, 10.3, and 10.4). You can preview our discussion here: Vectors in Physics (20 minutes)
• Complete the book problems from Chapter 10.1 and start working on your first WebWork assignment. If you are unsure of how to complete any of the problems, post a question to the Campuswire Class Feed and ask! (Choose the tag "Vector Basics" to help organize the feed.) Your fellow classmates will surely have some helpful words of advice or will be able to share thoughts about how to proceed.

• Discussion of your questions from Campuswire
• Groupwork on Vector Products
• Groupwork on Applications of Vector Products
• Using Mathematica to Calculate Vector Products
• Debriefing

• Work on calculus for one hour with at least one classmate. For example, you may want to talk about course content or work on the Webwork assignments together. Type up one paragraph (5–7 sentences) about something that you learned or experienced that you would not have if you had worked alone. Submit your paragraph and the name of the person you met with. This is the first of a set of group work paragraphs that will contribute to your Standard 4 score.
• Complete the Webwork assignments for Standards 1–3. Complete the book problems from Chapters 10.1-10.3. If you are unsure of any of the problems, post a question to the Campuswire Class Feed and ask!
• Create an account on Gradescope using your QC email address and using the code ZR3PKD. This is where you will submit your written assessments. Assessments for Standards 1 and 2 will be posted soon and are due by the end of the week. If you can't log in, send Prof. Hanusa a DM or email.
• Skim through Sections 10.4 and 9.1 of the book.
• Watch the following video lectures on material from Sections 10.4, 9.1, and 10.7. Ask one question on the "Daily Question for February 8" post on our Campuswire Community about something that was confusing or for which you'd like additional information. I will use your questions to start off class.
• The Cross Product (21 minutes) (Part of Section 10.4)
• Torque (which relies on the cross product) starts at time 15:08 in this video: Vectors in Physics (4 minutes) (Part of Section 10.4)
• Single Variable Functions: Domains, Ranges, and Graphs (10 minutes) (Part of Sections 9.1 and 10.7)
• Introduction to Vector Functions (19 minutes) (Part of Sections 9.1 and 10.7)
• Three Ways to Draw a Parametric Curve (19 minutes) (Part of Section 9.1)
• There are two related videos now posted; see class for 2/10.
• Here is a link to the Mathematica notebook from the videos.

• Discussion of your questions from Campuswire
• Groupwork on Vector Functions
• Using Mathematica to plot vector functions
• Debriefing

• Complete the Webwork assignment for Standard 5. Complete the book problems from Chapters 10.4 and 9.1. If you are unsure of any of the problems, post a question to the Campuswire Class Feed and ask!
• Skim through Sections 10.7 and 10.5 of the book.
• Watch the following video lectures on material from Sections 9.1 and 10.7 and 10.5.
• Examples of 2D Parametric Curves (13 minutes) (Part of Section 9.1)
• Examples of 3D Parametric Curves, Parametrization (17 minutes) (Part of Section 10.7)
• Using Linear Interpolation to Make Lines and Surfaces (14 minutes) (Sections 9.1, 10.5)
• Here is the Mathematica notebook I used for Linear Interpolations
• Explore creating your own vector functions. Contribute the parametric equation that you created that you like the best to the Daily Question for 2/10 on Campuswire.
• Resources and inspiration for creating your own vector functions
• Here is a link to the Mathematica notebook from the videos.
• Here is a link to some interesting parametric functions
• Here is a link Fifty Famous Curves
• Here is a list of famous curves.
• Remember that the assessments for Standards 1 and 2 are due on Friday. Here is a link to the schedule of assessment dates.

• Discussion of your questions from Campuswire
• Groupwork
• Debriefing

• Complete the Webwork assignment for Standard 6. Complete the book problems from Chapter 10.5.
• Ask (or answer!) a question on the Campuswire Class Feed about your homework assignments
• Skim through Sections 10.5, 9.2, and 10.7 of the book.
• Watch the following video lectures on material from Sections 10.5, 9.2, and 10.7.
• Theory: The Equation of a Line (11 minutes) (Sections 9.1, 10.5)
• Examples: Examples Involving the Equation of a Line (15 minutes) (Section 10.5)
• Theory: The Equation of a Plane (11 minutes) (Section 10.5)
• Examples: Application of the Equations of Lines and Planes w/ Mathematica (14 minutes) (Section 10.5)
• Examples: The Distance Between a Point and a Plane (7 minutes) (Section 10.5)
• Derivatives of Vector Functions and Tangent Lines (18 minutes) (9.2, 10.7)
• More on Derivatives of Vector Functions and Motion in Space (19 minutes) (9.2, 10.7, 10.9)
• The assessments for Standards 3 and 5 will be due on Friday, February 19. See the schedule of assessment dates.

• Discussion of your questions

• Complete the Webwork assignments up through Standard 7. Complete the book problems from Chapters 9.2, 10.7, and 10.9.
• Important: Ask (or answer!) a question on the Campuswire Class Feed about your homework assignments
• Skim through Sections 10.7, 10.8, and 10.9 of the book.
• Watch the following video lectures on material from Sections 9.2 and 10.8.
• The Arc Length of a Vector Function (18 minutes) (Chapter 10.8)
• The Arc Length Function and Reparametrizing a Curve (11 minutes) (Chapter 10.8)
• The Frenet Frame and Curvature (21 minutes) (Chapter 10.8)
• Components of Acceleration (10 minutes) (Chapter 10.9)
• Here is a link to the Cycloid Notebook
• Here is a link to the Frenet Frame Demonstration
• The assessments for Standards 6 and 7 will be due on Friday, February 26. See the schedule of assessment dates.

• Discussion of your questions

• Today will be used as a catch-up day.
• Make sure you have had time to watch all the videos so far.
• Take the time to complete all the Webwork assignments through Standard 9.
• We have covered all the material in Sections 9.1–9.2, 10.1–10.5, and 10.7–10.9; spend time with the book problems from those sections.
• Ask a conceptual question of something that is confusing you on the Daily Question for 2/24 on Campuswire.
• Resubmit Assessments for Standards 1–5 if you wish to improve your scores.

• Discussion of your questions

• Please fill out this survey to let me know how the semester is going for you. Thank you for your honest feedback.
• Skim through Section 11.1 of the book.
• Watch the following video lectures on material from Section 11.1.
• Functions of Multiple Variables and their Domains (12 minutes) (Chapter 11.1)
• Graphing Functions of Two Variables (23 minutes) (Chapter 11.1)
• Level Curves of Functions of Two Variables (15 minutes) (Chapter 11.1)
• Functions of More Variables (9 minutes) (Chapter 11.1)
• Here is a link to the Mathematica Notebook on Functions of Multiple Variables.
• Work on your Webwork assignments for Standards 8 and 9. Complete the book problems from Chapter 11.1. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 8 and 9 will be due on Friday, March 5. See the schedule of assessment dates.

• Discussion of your questions

• Skim through Section 10.6 of the book.
• Watch the following video lectures on material from Section 10.6.
• "Cylinders" (7 minutes) (Chapter 10.6)
• Quadric Surfaces (21 minutes) (Chapter 10.6)
• Mathematica Notebook (download file)
• Here's another good video about Quadric Surfaces and a good website about Quadric surfaces.
• Work on your Webwork assignments for Standards 10 and 11. Complete the book problems from Chapter 10.6. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 8 and 9 will be due on Friday, March 5. See the schedule of assessment dates.

• Discussion of your questions
• We'll do some groupwork to get some practice with quadric surfaces and level curves / traces.

• Work on calculus for one hour with at least one classmate. For example, you may want to talk about course content or work on the Webwork assignments together. Type up one paragraph (5–7 sentences) in which you reflect on an experience you have had with making mistakes and failing in a math class that has helped you in your learning process. Share this experience with your classmates. Add one or two sentences to your writeup reflecting on what you learned from the experiences your classmates shared. Submit your paragraph and the name of the person you met with. This is the second of a set of group work paragraphs that will contribute to your Standard 4 score.
• Skim through Section 11.2 of the book.
• Watch the following video lectures on material from Section 11.2.
• Limits of Functions of Multiple Variables (10 minutes) (Chapter 11.2)
• Understanding the Complexity of 2D Limits (19 minutes) (Chapter 11.2)
• Continuity of Functions of Multiple Variables (6 minutes) (Chapter 11.2)
• Here is the Mathematica Notebook from the videos
• Work on your Webwork assignments for Standard 12. Complete the book problems from Chapter 11.2. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 10 and 11 will be due on Friday, March 12. See the schedule of assessment dates.

• Discussion of your questions

• If you didn't complete Monday's paragraph yet, make sure to do so.
• Skim through Sections 11.3 and 11.5 of the book.
• Watch the following video lectures on material from Sections 11.3 and 11.5. There's a lot but they're short!
• Definition of Partial Derivatives and How to Calculate Them (14 minutes) (Chapter 11.3)
• Interpretation of Partial Derivatives (10 minutes) (Chapter 11.3)
• Implicit Differentiation and Partial Derivatives (5 minutes) (Chapter 11.3)
• Higher-order Partial Derivatives and Clairaut's Theorem (9 minutes) (Chapter 11.3)
• The Chain Rule for Functions of Several Variables (10 minutes) (Chapter 11.5)
• The Chain Rule simplifies implicit differentiation (6 minutes) (Chapter 11.5)
• Here is the Mathematica Notebook from the videos
• Work on your Webwork assignments for Standard 13. Work on the book problems from Chapter 11.3 and 11.5.
• The assessments for Standards 10 and 11 will be due on Friday, March 12. See the schedule of assessment dates.

• There will be no in-class time today.
• During class time, please formulate a question about any of the material (lectures, webwork) and post it as a question on our Campuswire Class Feed.
• If you have some insights, please respond to your classmates' questions. Later in the day Prof. Hanusa will answer the questions that haven't been sufficiently addressed.
• Take the rest of the time to catch up on watching the videos, completing your Webwork assignments, and submitting your assessments and reassessments.

• Skim through Section 11.4 and the beginning of Section 11.6.
• Watch the following video lectures on material from Sections 11.4 and 11.6.
• The Tangent Plane to the Graph of a Function (14 minutes) (Chapter 11.4)
• Linear Approximations and Differentials (14 minutes) (Chapter 11.4)
• Directional Derivatives and their Interpretations (10 minutes) (Chapter 11.6)
• Work on your Webwork assignments for Standard 14. Complete the book problems from Chapter 11.4. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 12 and 13 will be due on Friday, March 19. See the schedule of assessment dates.

• Discussion of your questions

• Skim through Section 11.6.
• Work on your Webwork assignments for Standard 15. Complete the book problems from Chapter 11.6. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 12 and 13 will be due on Friday, March 19. See the schedule of assessment dates.

• Discussion of your questions

• Skim through Sections 11.7 and 11.8.
• Watch the following video lectures on material from Section 11.7 and 11.8.
• The Gradient Vector and the Directional Derivative (9 minutes) (Chapter 11.6)
• The Gradient as the Direction of Steepest Ascent (9 minutes) (Chapter 11.6)
• The Tangent Plane to a Level Surface (6 minutes) (Chapter 11.6)
• Definition of Local Extrema and How to Calculate Them (20 minutes) (Chapter 11.7)
• When Global Extrema Exist and How to Find Them (15 minutes) (Chapter 11.7)
• Work on your Webwork assignments for Standard 16. Complete the book problems from Chapter 11.7 and 11.8. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 12 through 15 will be due on Friday, March 26. See the schedule of assessment dates.

• Discussion of your questions

• Today will be used as a catch-up day.
• Make sure you have had time to watch all the videos so far.
• Take the time to complete all the Webwork assignments through Standard 17.
• We have covered all the material in Sections 9.1–9.2, 10.1–10.9, and 11.1–11.7; spend time with the book problems from those sections.
• Ask a conceptual question of something that is confusing you on the Daily Question for 3/24 on Campuswire.
• Resubmit Assessments for earlier Standards if you wish to improve your scores.

• Groupwork on Optimization
• Discussion of your questions

• Watch the second half of the video recording from class on 3/24 (posted on Campuswire) where we did examples on Optimization using Global Extrema (Chapter 11.7)
• Skim through Section 12.1.
• Watch the following video lectures on material from Section 12.1.
• Riemann Sums & Upper and Lower Bounds of Double Integrals (22 minutes) (Section 12.1)
• Double Integrals over Rectangles (8 minutes) (Section 12.1)
• Fubini's Theorem and Properties of Double Integrals (10 minutes) (Section 12.1)
• Work on your Webwork assignments for Standard 17. Complete the book problems from Chapter 12.1. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 16 and 17 will be due on Friday, April 9. See the schedule of assessment dates.
• Resubmit Assessments for earlier Standards if you wish to improve your scores.

• Discussion of your questions

• Skim through Section 12.2.
• Watch the following video lectures on material from Section 12.2.
• Double Integrals over Non-Rectangular Regions (14 minutes) (Section 12.2)
• Setting up Double Integrals over Non-Rectangular Regions (13 minutes) (Section 12.2)
• Another Double Integral Example (9 minutes) (Section 12.2)
• Visualizing a Three Dimensional Region and Finding its Volume (18 minutes) (Section 12.2)
• Changing the Order of Integration (7 minutes) (Section 12.2)
• Here is the Mathematica Notebook from the video
• Work on your Webwork assignments for Standards 18 and 19. Complete the book problems from Chapter 12.2. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 16 and 17 will be due on Friday, April 9. See the schedule of assessment dates.

• Discussion of your questions
• Groupwork to practice changing the order of integration.

• Work outside of class on calculus for one hour with some classmates. For example, work together to study for an assessment. Before you meet with your classmates, look through this checklist and think about all the ways in which you have studied for math classes in the past. Talk with your classmates about the ways you have studied for math classes in the past. Write a paragraph discussing which of these methods have been the most fruitful in the past and why. Also choose one NEW study technique that you (and your classmates) will try to use this semester, and include this in your paragraph too! Submit your paragraph and the name of the person you met with. This is the third of a set of group work paragraphs that will contribute to your Standard 4 score.
• Skim through Section 12.4, ignoring any questions involving polar integration.
• Watch the following video lectures on material from Section 12.4.
• Applications of Double Integrals: Area, Volume, and Average Value (14 minutes) (Section 12.4)
• Applications of Double Integrals: Probability Density Functions (15 minutes) (Section 12.4)
• Charge, Mass, Center of Mass, and Centroids (14 minutes) (Section 12.4)
• Work on your Webwork assignments for Standard 20. Complete the book problems from Chapter 12.4 that do not involve circular regions. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 18 and 19 will be due on Friday, April 16. See the schedule of assessment dates.

• Discussion of your questions

• Skim through Section 9.3.
• Watch the following video lectures on material from Section 9.3.
• Introduction to Polar Coordinates (A very nice video by Dr. Bazett)
• Polar Coordinate Conversions (13 minutes) (Section 9.3)
• Polar Equations for Lines, Circles, and Polar Rectangles (11 minutes) (Sections 9.3 and 12.3)
• Other Nice Polar Equations of Lines and Circles (9 minutes) (Section 9.3)
• Polar Functions and Their Graphs (15 minutes) (Section 9.3)
• Graphing Polar Curves in Desmos (6 minutes) (Section 9.3)
• Graphing Polar Curves in Mathematica (5 minutes) (Section 9.3)
• Here is the Mathematica Notebook from the video
• Here is another video by Dr. Bazett about Graphing Polar Curves.
• Work on your Webwork assignments for Standard 21. Complete the book problems from Chapter 9.3. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 18 and 19 will be due on Friday, April 16. See the schedule of assessment dates.

• Discussion of your questions
• Groupwork to practice changing the order of integration.

• Skim through Section 9.4 and 12.3.
• Watch the following video lectures on material from Sections 9.3 and 9.4.
• Slope of the Tangent Line to Parametric and Polar Curves (9 minutes) (Sections 9.2 and 9.3)
• Arc Length of Polar Curves (9 minutes) (Section 9.4)
• Area under a Polar Curve (15 minutes) (Section 9.4)
• Area between Polar Curves (10 minutes) (Section 9.4)
• Here is a good video with examples of Solving Equations involving Trigonometric Functions by the Organic Chemistry Tutor.
• Here is a good video with examples of Finding the Points of Intersection of Polar Curves by Krista King
• Work on your Webwork assignments for Standards 22 and 23. Complete the book problems from Chapter 9.4. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 20 and 21 will be due on Friday, April 23. See the schedule of assessment dates.

• Discussion of your questions

• Skim through Section 12.3.
• Watch the following video lectures on material from Sections 12.3 and 12.4.
• Double Integrals over Polar Regions (15 minutes) (Section 12.3)
• Converting a Cartesian Double Integrals into a Polar Integral (8 minutes) (Section 12.3)
• Application of Polar Integration: Mass Density (7 minutes) (Section 12.4)
• Application of Polar Integration: Probability Density Function (12 minutes) (Section 12.4)
• Work on your Webwork assignments for Standard 23. Complete the book problems from Chapter 12.3. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 20 and 21 will be due on Friday, April 23. See the schedule of assessment dates.

• Discussion of your questions
• Groupwork to practice setting up double integrals over polar regions.

• Skim through Section 12.4.
• Work through the questions in Section 12.4 involving double integrals with polar coordinates.
• This is a catch-up day.
• Work to complete your Webwork assignments for Standards 1-23.
• The assessments for Standards 22 and 23 will be due on Friday, April 30. See the schedule of assessment dates.

• Discussion of your questions

• Skim through Section 12.5.
• Watch the following video lectures on material from Section 12.5.
• Triple Integrals over Boxes (12 minutes) (Section 12.5)
• Triple Integrals over non-boxes (9 minutes) (Section 12.5)
• A Triple Integral Example (16 minutes) (Section 12.5)
• Applications of Triple Integrals (3 minutes) (Section 12.5)
• Work on your Webwork assignments for Standard 24. Complete the book problems from Chapter 12.5. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 22 and 23 will be due on Friday, April 30. See the schedule of assessment dates.

• Discussion of your questions

• Skim through Sections 12.6 and 12.7, ignoring calculus.
• Work on your Webwork assignments for Standard 25. Think to ask a related question on the Campuswire Class Feed.
• The assessment for Standards 22 and 23 will be due on Friday, May 7. See the schedule of assessment dates.

• Discussion of your questions
• Groupwork to practice cylindrical and spherical coordinates and regions.

• Skim through Sections 12.6 and 12.7, not ignoring calculus.
• Work on your Webwork assignments for Standard 26.
• The assessment for Standards 22 and 23 will be due on Friday, May 7. See the schedule of assessment dates.

• Discussion of your questions

•••••• Please fill out the college-wide course evaluations. This is different from any course evaluations that happen in class. Thank you for your feedback! ••••••

• Watch the following video lectures on material from Sections 12.6 and 12.7.
• Introduction to Cylindrical and Spherical Coordinates (15 minutes) (Sections 12.6 and 12.7)
• Practice with Cylindrical Coordinates (17 minutes) (Section 12.6)
• The Theory of Spherical Coordinates (5 minutes) (Section 12.7)
• Converting to Spherical Coordinates with Mathematica (14 minutes) (Section 12.7)
• Practice with Spherical Coordinates (19 minutes) (Section 12.7)
• Here is the Mathematica Notebook from the video
• Work on your Webwork assignments for Standards 25 and 26.
• Complete the book problems from Sections 12.6 and 12.7. Think to ask a related question on the Campuswire Class Feed.
• The assessments for Standards 24, 25, and 26 will be due on Friday, May 14. See the schedule of assessment dates.

• Discussion of your questions
• Groupwork to practice cylindrical and spherical coordinates and regions.

• This is a catch-up day.
• Work to complete your Webwork assignments for Standards 1-26.
• The assessments for Standards 24, 25 and 26 will be due on Friday, May 14. See the schedule of assessment dates.

• Discussion of your questions

• Finalize all your reassessments.
• Start working on your Semester Reflection to turn in before Monday, May 24.

• Question and Answer Day.

• Complete and submit all your assessments, reassessments, and WebWork assignments by today.
• Here is a link to the Semester Reflection that is taking the place of our final exam. This is your chance to reflect more broadly on your learning in this class. You should put serious thought into each of these questions. If you use less than three pages, you probably need to spend more time carefully considering one or more of the questions. I will be considering how thorough, detailed, and thoughtful your responses are when assigning a grade to your work.
• Upload your Semester Reflection here. Your file should be a Word (.docx) file or a PDF file. No other file types are permitted.

•••••• Please fill out the college-wide course evaluations. This is different from any course evaluations that happen in class. Thank you for your feedback! ••••••