105L Materials
Class Information
- Syllabus
- Info Sheet
- Grading Information Sheet
- Textbook: Calculus by Hughes-Hallett et. al., 7th Ed
- Gradescope
- Canvas
- Getting Help
- Math Help Room
- Office Hours in person (Wednesday 1-3pm, Classroom 132)
- Office Hours on Zoom (Sunday 8-9pm)
- The Academic Resource Center
Class Times, Locations, Emails, and Help Room Hours
| Day and Time | Class/Lab | Location | Instuctor | TAs | TA Help Room Hours |
|---|---|---|---|---|---|
| MWF 10:20-11:10am | Class Section 2 | West Duke 106 | Rann Bar-On | Alex Penne | Alex: Monday 5-8pm |
| MWF 12:00-12:50pm | Class Section 3 | White Lecture Hall 107 | Rann Bar-On | Alex Penne Sara Norton |
Sara: Wed 5-6pm |
| TTh 8:45-9:35am | Lab Section 4 | West Duke 106 | Lanay Fuller | Chelsea Clarke | Lanay: Monday 7-8pm Chelsea: Tue 7-8pm, Th 6-7pm |
| TTh 10:20-11:10am | Lab Section 2 | Classroom 137 | Rann Bar-On | Michael Hayford | Michael: Monday 7-9pm |
| TTh 12:00-12:50pm | Lab Section 3 | West Duke 108B | Rann Bar-On | Alexandria Edwards | Dria: Th 8-9pm |
| Graders | Help Room Hours |
|---|---|
| Sonali Patel | |
| Becky Ball |
Gradescope Submissions, Returns, and Resubmissions
All work for 105L will be submitted on Gradescope. Here are some guidelines, links, and instructions for submission:
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Once you have completed your work, you need to scan it to a PDF. You should use a document scanner app on your phone. Ideally, you should use the Gradescope Mobile App to submit. You can install that from your phone or tablet’s app store. Instructions for using the app can be found here. You may choose to use a different document scanner app, as as Adobe Scan. However, assignments submitted without a document scanner app are not acceptable. Specifically, you may not simply use your phone’s camera app.
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When logging into Gradescope, be sure to use the ‘School Credentials’ button:

(You can instead log into Gradescope via Canvas if you wish! That will log you in automatically.)
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After you’ve logged in, find the correct assignment in the Assignments area, and follow the instructions here. Most of the assignments in 105L will require you to assign questions to pages. If you do not do this, your work will not be graded until you fix it.
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Each question will be scored 1 (perfect), 0.9 (minor error), 0.5 (partly correct), or 0. Each question will get commented upon. You will then use comments to correct your work and resubmit.
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Each assignment will have a separate resubmit Gradescope assignment:

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After you resubmit, graders will regrade each question you ask them to regrade by using the ‘Regrade’ checkbox below each question number. Once resubmissions are returned, you will get a ‘pass’ or ’no-pass’ on each assignment. You will get an email from me if you did not pass an assignment. Pass/no-passes will also be recorded in the Gradebook on Canvas.
Getting Help
You will need help with this class! Everyone will. Math at Duke is challenging, and this class will ask a lot of you, regardless of your math background. There are many resources available for help. Here’s an outline with links:
- Help Room: Located in the Classroom building (Room 137), the help room is open around 25 hours a week from 5-10pm Su-Th. It is staffed by TAs, graders, and others. You can go at any time to get help with your work. You can go do homework there and get help when you need it. It’s a great space to have quiet work time, but have help readily available.
- Office Hours: I will have two hours of in person office hours, and one hour of virtual office hours per week (see hours above). Here’s a Zoom link for the virtual office hours.
- Individual meetings: I’m available to meet one on one in person or by Zoom as needed. Drop me an email! I’m also available for quicker questions before/after class.
- The Academic Resource Center: Duke’s ARC provides multiple layers of support for classes. From peer tutoring to study groups, this is one of the most useful resources Duke provides. Make an appointment with an advisor there, or sign up for a study group!
Syllabus
The table below lists all topics, assignments, and extra resources for 105L 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. Worksheet regrades are due the Tuesday 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 Canvas in the File area. 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.
Following each class day, the numbers in the ‘Day’ column below will become video links to a recording of the lecture within 24 hours.
| Day | Date | Textbook Section | Topic | Assignment | Due Date | Class/Lab Resources | External Resources |
|---|---|---|---|---|---|---|---|
| 1-1 | 08/26/24 | Introductions and Course Expectations | Algebra Review | 08/30/24 | Algebra | ||
| 08/27/24 | Calculus I Placement Test | Pre-Lab 1: Spreadsheet Training for Labs | 08/29/24 | Spreadsheet | Training Video I Training Video II Training Video III |
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| 1-2 | 08/28/24 | 1.1 | Functions | Worksheet | 09/03/24 | Functions | |
| Lab 1 Part 1 | 08/29/24 | Cancer Mortality | Writing Assessment | 09/03/24 | Spreadsheet Guidelines for Writing in Math |
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| 1-3 | 08/30/24 | 1.1 | Linear Functions | Worksheet | 09/03/24 | Linear Functions | |
| 2-1 | 09/02/24 | Labor Day | |||||
| Lab 1 Part 2 | 09/03/24 | Cancer Mortality | Cancer Mortality Group Project | Draft due on Canvas: 09/10/24 Comments due: 09/12/24 Final Report due: 09/20/24 |
Spreadsheet | ||
| 2-2 | 09/04/24 | 1.6 | Power Functions & Polynomials | Worksheet | 09/09/24 | Polynomials | |
| Lab 2 Part 1 | 09/05/24 | Linear Modeling | Spreadsheet | ||||
| 2-3 | 09/06/24 | 1.6 | Rational Functions | Worksheet | 09/09/24 | Rational Functions | |
| 3-1 | 09/09/24 | 1.3 | Function Transformations | Worksheet | 09/16/24 | Function Transformations | |
| Lab 2 Part 2 | 09/10/24 | Linear Modeling | Linear Modeling Group Short Report | 09/18/24 | Spreadsheet | ||
| 3-2 | 09/11/24 | Modeling Problems | Worksheet | 09/16/24 | |||
| Lab 3 Part 1 | 09/12/24 | Exploring Limits | Wolfram Alpha Geogebra |
Limits (Skip continuity for now) | |||
| 3-3 | 09/13/24 | Cancer Mortality/Modeling Problems Help Day | |||||
| 4-1 | 09/16/24 | 2.1 | Rate of Change | Worksheet | 09/23/24 | RoC I, RoC II | |
| Lab 3 Part 2 | 09/17/24 | Exploring Limits | Big Assignment 1 | 09/27/24 | Wolfram Alpha Geogebra |
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| 4-2 | 09/18/24 | See 4-1 | |||||
| Lab 4 Part 1 | 09/19/24 | Human Growth | Spreadsheet | ||||
| 4-3 | 09/20/24 | 2.2 | Derivative at a Point | Worksheet | 09/23/24 | Derivatives | |
| 5-1 | 09/23/24 | 1.7,1.8,1.9 | Limits and Continuity | Worksheet | 09/30/24 | Limits and Continuity | |
| Lab 4 Part 2 | 09/24/24 | Human Growth | Quiz (individual) and Report (group) | Quiz (individual): 09/30/24 Report (group): 10/02/24 |
Spreadsheet | ||
| 5-2 | 09/25/24 | 2.3 | The Derivative Function | Worksheet | 09/30/24 | Derivatives | |
| Lab 5 Part 1 | 09/26/24 | 3.1 | Sum, Difference & Power Rules | Rules I, Rules II, Rules III | |||
| 5-3 | 09/27/24 | 2.5 | The Second Derivative | Worksheet | 09/30/24 | Second Derivative | |
| 6-1 | 09/30/24 | 3.2 | Differentiability | Worksheet | 10/07/24 | Differentiability | |
| Lab 5 Part 2 | 10/01/24 | 3.1 | Sum, Difference & Power Rules | Group short report: Assigned Questions from Lab | 10/09/24 | ||
| 6-2 | 10/02/24 | 2.6 | Product and Quotient Rules | Worksheet | 10/07/24 | Product Rule, Quotient Rule | |
| 10/03/24 | Midsemester Feedback | ||||||
| 6-3 | 10/04/24 | No Class | |||||
| 7-1 | 10/07/24 | Compound Interest | Worksheet | 10/16/24 | e and Compound Interest | ||
| Lab 6 | 10/08/24 | 1.3 | Composition | Composition | |||
| 7-2 | 10/09/24 | 1.2 | Exponential Functions | Worksheet | 10/16/24 | Exponential vs. linear growth, Exponential Expressions, Graphs of exp. growth, Exponential decay, Equivalent forms, Solving equations |
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| Lab 7 | 10/10/24 | 1.3 | Inverse Functions | Inverse Functions and Composition Quiz | 10/16/24 | Inverse Functions | |
| 7-3 | 10/11/24 | 1.4 | Logarithms | Worksheet | 10/16/24 | Log Functions | |
| 8-1 | 10/14/24 | Fall Break | |||||
| 10/15/24 | Fall Break | ||||||
| 8-2 | 10/16/24 | Project Outline and Organizing | Project Info Sheet | Topic Due 10/21/24 Script/Storyboard Due 11/04/24 Revision to Script/Storyboard due 11/14/24 Video presentations in Week 15 |
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| Lab 8 Part 1 | 10/17/24 | Log Plots | Spreadsheet | ||||
| 8-3 | 10/18/24 | 3.4 | Chain Rule | Worksheet | 10/21/24 | Chain Rule | |
| 9-1 | 10/21/24 | 3.2 | Differentiating Exponential Functions (Note: no quiz this week!) |
Worksheet | 10/28/24 | Spreadsheet | Derivative of $e^x$ |
| Lab 8 Part 2 | 10/22/24 | Log Plots | Log Plots Group Report | 10/30/24 | Spreadsheet | ||
| 9-2 | 10/23/24 | 3.7 | Implicit Differentiation I | Worksheet | 10/28/24 | Implicit Diff | |
| 10/24/24 | Log Plots Report Help Day | ||||||
| 9-3 | 10/25/24 | 3.7 | Implicit Differentiation II | Lab | Implicit Diff II | ||
| 10-1 | 10/28/24 | 3.6 | Differentiating Logarithmic Functions | Worksheet | 11/04/24 | Derivative of $\ln x$ | |
| Lab 10 | 10/29/24 | Implicit Differentiation Lab Completion | Big Assignment 2 | 11/08/24 | |||
| 10-2 | 10/30/24 | Differentiation Practice | Worksheet | 11/04/24 | Differentiation Strategies, Multiple Rules | ||
| Lab | 10/31/24 | Differentiation Practice Group work | See 10-2 | ||||
| 10-3 | 11/01/24 | 4.1 | Using 1st & 2nd Derivatives | Worksheet | see 11-1 | Analyzing Functions | |
| 11-1 | 11/04/24 | 4.1 | Using 1st & 2nd Derivatives | See 10-3 | 11/11/24 | ||
| Lab 11 Part 1 | 11/05/24 | Derivatives and Roots | Geogebra | ||||
| 11-2 | 11/06/24 | Optional Big Assignment Help Day | |||||
| Lab 11 Part 2 | 11/07/24 | Derivatives and Roots | Group Short Report: Derivatives and Roots | 11/15/24 | Geogebra | ||
| 11-3 | 11/08/24 | 3.9 | Linear Approximations | Worksheet | 11/11/24 | Local Linearity | |
| 12-1 | 11/11/24 | 4.2 | Optimization – Global Extrema (Note: no quiz this week!) |
Worksheet | 11/18/24 | Global Extrema | |
| 11/12/24 | No Lab! | ||||||
| 12-2 | 11/13/24 | 4.3 | Optimization Word Problems | Worksheet | 11/18/24 | Optimization | |
| Lab | 11/14/24 | 4.3 | Optimization Word Problems (continue worksheet from 12-2) | ||||
| 12-3 | 11/15/24 | 4.7 | L’Hôpital’s Rule | Worksheet | 11/18/24 | L’Hôpital’s rule | |
| 13-1 | 11/18/24 | Project Workday | Presentations in Week 15! | ||||
| Lab 12 Part 1 | 11/19/24 | Relative Rates of Growth | |||||
| 13-2 | 11/20/24 | 4.6 | Related Rates | Worksheet | See 13-3 | Related Rates I, Related Rates II | |
| Lab 12 Part 2 | 11/21/24 | Relative Rates of Growth | Big Assignment 3 | 12/03/24 | |||
| 13-3 | 11/22/24 | 4.6 | Related Rates | 12/02/24 | |||
| 14-1 | 11/25/24 | No Class | |||||
| 11/26/24 | Thanksgiving Break | ||||||
| 14-2 | 11/27/24 | Thanksgiving Break | |||||
| 11/28/24 | Thanksgiving Break | ||||||
| 14-3 | 11/29/24 | Thanksgiving Break | |||||
| 15-1 | 12/02/24 | Project Presentations | Extra office hours for Big Assignment 3 | ||||
| Lab | 12/03/24 | NO LAB | |||||
| 15-2 | 12/04/24 | Project Presentations | |||||
| Lab | 12/05/24 | NO LAB | |||||
| 15-3 | 12/06/24 | Project Presentations | |||||