106L Materials (SPRING 2021 - OUTDATED!)
Class Information
- Info Sheet
- Grading
- Textbook: Calculus by Hughes-Hallett et. al., 7th Ed
- Gradescope
- Math Help Room
- Office Hours (M 1:30-2:30pm, F 1:30-3:30pm)
Class Times, Zooms, Emails
Syllabus
The table below lists all topics, assignments, and extra resources for 106L this semester.
The Assignment column links to the PDF of the day’s worksheet or lab, or to an online assignment. Resources, such as lab spreadsheets, needed external websites, or extra videos are linked in the Extra Resources column. Lab PDFs are linked in the relevant lab’s entry in the Topic column.
Worksheets are to be handed in on Gradescope the Monday of the week after they are assigned in class, by 8am (there are a couple of exceptions, notably some Week 1 work). Worksheet regrades are due the Monday after worksheet assignments are returned, also by 8am.
Textbook sections containing material relevant to a given day’s class or lab are listed in the table below. It is recommended that students read the relevant textbook sections. Questions at the end of textbook sections may be done as background and supplementary material. Solutions to all textbook questions can be found on Sakai under ‘Resources’ -> ‘Textbook Solutions’. No questions from the textbook will be collected or graded.
All assignments have due dates listed in the table below. Note that all assignments are due by 8am on the day listed.
| Day | Date | Textbook Section | Topic | Assignment | Due Date | Class/Lab Resources | External Resources |
|---|---|---|---|---|---|---|---|
| 1-2 | 01/20/21 | Review of 105L Concepts | Worksheet | 01/25/21 | 105L Syllabus and Worksheets | ||
| Lab | 01/21/21 | 1.5 | Crash Course in Trigonometry Part I | Entire lab (Individual) | 01/27/21 | Basic Trig | |
| 1-3 | 01/22/21 | 1.5 | Crash Course in Trigonometry Part II | Worksheet | 01/27/21 |
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| 2-1 | 01/25/21 | Trigonometric Identities and Important Limits | Worksheet | 02/01/21 |
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| Lab | 01/26/21 | Modeling with Trig Functions | Spreadsheet Geogebra Applet |
Sinusoidal Models | |||
| 2-2 | 01/27/21 | 3.5 | Differentiating Trigonometric Functions | Worksheet | 02/01/21 |
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| Lab | 01/28/21 | Modeling with Trig Functions | Report: Global Warming (Group) | 02/04/21 | Spreadsheet | ||
| 2-3 | 01/29/21 | 1.5 | Inverse Trigonometric Functions | Worksheet | 02/01/21 | Inverse Trig Functions | |
| 3-1 | 02/01/21 | 3.6 | Differentiating Inverse Trigonometric Functions | Worksheet | 02/08/21 | Differentiating Inverse Trig Functions | |
| Lab | 02/02/21 | Newton’s Laws of Motion | |||||
| 3-2 | 02/03/21 | 4.6 | Trig Related Rates | Worksheet | 02/08/21 | Trig Related Rates | |
| Lab | 02/04/21 | Newton’s Laws of Motion | Report: Understanding Gravity (Group) | 02/11/21 | |||
| 3-3 | 02/05/21 | 6.3 | Position, Velocity and Acceleration | Worksheet | 02/08/21 | ||
| 4-1 | 02/08/21 | 5.1 | Distance from Velocity | Worksheet | 02/15/21 | ||
| Lab | 02/09/21 | Sums and Sigma Notation | Big Assignment 1 | 02/19/21 | |||
| 4-2 | 02/10/21 | 5.1 | Left- and Right-Hand Sums | Worksheet | 02/15/21 | Riemann Sums | |
| Lab | 02/11/21 | Sums and Sigma Notation | Sums and Sigma Notation Quiz (Individual) | 02/15/21 | Sigma Notation | ||
| 4-3 | 02/12/21 | Catch Up Day | |||||
| 5-1 | 02/15/21 | 5.2 | Definite Integral | Worksheet | 02/22/21 | Riemann Sums with Sigma | |
| Lab | 02/16/21 | Riemann Sums | Spreadsheet | ||||
| 5-2 | 02/17/21 | Catch Up Day/Big Assignment Help | Definite Integral | ||||
| Lab | 02/18/21 | Riemann Sums | Spreadsheet | ||||
| 5-3 | 02/19/21 | 7.5 | Midpoint and Trapezoid Sums | Worksheet | 02/22/21 |
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| 6-1 | 02/22/21 | 5.3 | Error and Accuracy of LHS/RHS | Worksheet | 03/01/21 | ||
| Lab | 02/23/21 | Riemann Sums | Report: Riemann Sums (Group) | 03/02/21 | Spreadsheet | ||
| 6-2 | 02/24/21 | 5.3 | FTC I | Worksheet | See 6-1 | FTC I Proof | |
| Lab | 02/25/21 | Average Value of a Function | |||||
| 6-3 | 02/26/21 | 5.4 | Theorems about Definite Integrals | Worksheet | 03/01/21 | Supplementary Video | Properties of Definite Integrals |
| 7-1 | 03/01/21 | 6.2 | Constructing Antiderivatives | Worksheet | 03/08/21 |
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| Lab | 03/02/21 | Average Value of a Function | Report: Short Report (Group) | 03/09/21 | |||
| 7-2 | 03/03/21 | 7.1 | Integration by Substitution | Worksheet | 03/08/21 | Integration by Substitution | |
| Lab | 03/04/21 | Quantities of Varying Density | Spreadsheet | ||||
| 7-3 | 03/05/21 | 7.2 | Integration by Parts | Worksheet | 03/08/21 | Integration By Parts | |
| 8-1 | 03/08/21 | 6.4 | FTC II – Optional Class | Worksheet (optional) | 03/15/21 (Optional) |
FTC II | |
| Lab | 03/09/21 | NO LAB (break) | Big Assignment 2 | 03/19/21 | |||
| 8-2 | 03/10/21 | NO CLASS (break) | |||||
| Lab | 03/11/21 | Quantities of Varying Density | (On Big Assignment 2) | Spreadsheet | |||
| 8-3 | 03/12/21 | Antidifferentiation Practice I | Worksheet | See 9-1! | |||
| 9-1 | 03/15/21 | Antidifferentiation Practice II | Worksheet | 03/22/21 | |||
| Lab | 03/16/21 | Quantities of Varying Density | |||||
| 9-2 | 03/17/21 | Big Assignment Help | |||||
| Lab | 03/18/21 | 8.5 | Force and Work | ||||
| 9-3 | 03/19/21 | 7.6,7.7 | Integrating to Infinity | Worksheet | 03/23/21 | ||
| 10-1 | 03/22/21 | 7.6, 7.7 | Other Improper Integrals | Worksheet | 03/29/21 | ||
| Lab | 03/23/21 | Force and Work | Report: Short Report (Group) | 03/30/21 | |||
| 10-2 | 03/24/21 | 11.1 | Differential Equations and Initial Value Problems | Worksheet | 03/29/21 | ||
| Lab | 03/25/21 | NO LAB | |||||
| 10-3 | 03/26/21 | 11.1 | Differential Equation and Initial Value Problems | Worksheet | See 10-2! | ||
| 11-1 | 03/29/21 | 11.2, 11.5 | Slope Fields and Equilibria | Worksheet | 04/05/21 | ||
| Lab | 03/30/21 | Playing with Differential Equations | Geogebra Applet | ||||
| 11-2 | 03/31/21 | 11.2,11.5 | Slope Fields and Equilibria | Worksheet | See 11-1! | ||
| Lab | 04/01/21 | Playing with Differential Equations | Report: Short Report (Group) | 04/08/21 | Geogebra Applet | ||
| 11-3 | 04/02/21 | 11.4 | Separation of Variables | Worksheet | 04/12/21 | ||
| 12-1 | 04/05/21 | 11.4 | Separation of Variables completion | ||||
| Lab | 04/06/21 | 11.3 | Euler’s Method | Big Assignment 3 | 04/16/21 | Spreadsheet | |
| 12-2 | 04/07/21 | 11.5 | Growth and Decay | Worksheet | 04/12/21 | ||
| Lab | 04/08/21 | Euler’s Method | (On Big Assignment 3) | Spreadsheet | |||
| 12-3 | 04/09/21 | 11.5, 11.6 | Applications: Heating and Mixing I | Worksheet | 04/12/21 | ||
| 13-1 | 04/12/21 | NO CLASS (wellness day) | |||||
| Lab | 04/13/21 | Chemical Rates | |||||
| 13-2 | 04/14/21 | 11.5, 11.6 | Applications: Heating and Mixing II | Worksheet | 04/19/21 | ||
| Lab | 04/15/21 | Chemical Rates | Report: The general case (Group) | 04/22/21 | |||
| 13-3 | 04/16/21 | 11.7 | The Logistic Model for Population | Worksheet | 04/19/21 | ||
| 14-1 | 04/19/21 | 11.6, 11.7 | Populations Models with Migration | Worksheet | 04/26/21 NOTE: No resubmit! |
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| Lab | 04/20/21 | Logistic Model with Harvesting: Fishery Management | Geogebra Applet | ||||
| 14-2 | 04/21/21 | 11.7 | The Logistic Model – Applications | Worksheet | 04/26/21 NOTE: No resubmit! |
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| Lab | 04/22/21 | Logistic Model with Harvesting: Fishery Management | Report: Short Report (Group) | 04/27/21 NOTE: No resubmit! |
Geogebra Applet | ||
| 14-3 | 04/23/21 | Lab Completion |
Rann Bar-On
Senior Lecturer in Mathematics
I am primarily a teacher and curriculum designer in calculus and linear algebra.