106L Materials

Class Information

Class Times, Zooms, Emails

Day and Time Class/Lab Location Instuctor TAs TA Help Room Hours
MWF 10:20-11:10am Class Section 1 East Duke 204B Rann Bar-On Pauline Jonglertham
Coleman Whitehead
MWF noon-12:50 Class Section 2 West Duke 108B Rann Bar-On Pauline Jonglertham
Aaliya Qassim
Ben Arora
TTh 10:20-11:10am Lab Section 2 West Duke 108B Rann Bar-On Dria Edwards
TTh noon-12:50pm Lab Section 1 Classroom Building 114 Maille Sherry
Kiara de Lande
TTh 3:20-4:10pm Lab Section 3 Classroom Building 137 Lanay Fuller
Brooklyne Noel
Graders Help Room Hours
Nathalia Compresperez
Sara Norton
Isabela Agi Maluli
Lauryn Darby

Gradescope Submissions, Returns, and Resubmissions

All work for 106L will be submitted on Gradescope. Here are some guidelines, links, and instructions for submission:

  • Once you have completed your work, you need to scan it to a PDF. You should use a document scanner app on your phone: Evernote Scannable on iOS (iPhone/iPad), or Genius scan on Android. Adobe Scan works great too! Instructions for creating a PDF using these can be found here.

  • When logging into Gradescope, be sure to use the ‘School Credentials’ button:

    login screen with school button highlighted

    (You can instead log into Gradescope via Sakai if you wish! That will log you in automatically.)

  • After you’ve logged in, find the correct assignment in the Assignments area, and follow the instructions here. Most of the assignments in 106L will require you to assign questions to pages. If you do not do this, your work will not be graded until you fix it.

  • For initial submissions, graders will assign ‘correct’, ’needs work’, or ‘missing’ to each question. They will also comment on your work. No points will be assigned. You will then use their comments to correct your work and resubmit.

  • Each assignment will have a separate resubmit Gradescope assignment:

    login screen with school button highlighted

  • After you resubmit, graders will grade each question out of one point. Once those 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 Sakai.

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, the help room is open around 45 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 online office hours three hours per week (see hours above). Here’s a Zoom link for them.
  • Individual meetings: I’m available to meet one on one by Zoom if you feel that’s 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 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. 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. Some suggested exercises are listed under ‘Textbook Practice Problems’ in the table below. 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.

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/Video Date Textbook Section Topic Assignment Due Date Class/Lab Resources Textbook Practice Problems External Resources
1-2 01/10/24 Review of 105L Concepts Worksheet 01/15/24 Use your worksheets from 105L
Lab 01/11/24 1.5 Crash Course in Trigonometry Part I Worksheet 01/15/24 Section 1.5
Exercises 38, 39
Basic Trig
1-3 01/12/24 1.5 Crash Course in Trigonometry Part II Worksheet 01/15/24 Section 1.5
Exercises 24-29
2-1 01/15/24 MLK Day
Lab: 01/16/24 1.5 Modeling with Trig Functions Spreadsheet
Geogebra Applet
Sinusoidal Models
2-2 01/17/24 Trigonometric Identities and Important Limits Worksheet 01/22/24
Lab 01/18/24 Modeling with Trig Functions Spreadsheet
Geogebra Applet
2-3 01/19/24 3.5 Differentiating Trigonometric Functions Worksheet 01/22/24 Section 3.5
Exercises 3, 4, 12-14, 18, 19, 22, 32, 34, 42
Problems 57, 64
3-1 01/24/24 1.5 Inverse Trigonometric Functions Worksheet 01/29/24 Section 1.5
1-9, 30-34
Inverse Trig Functions
Lab: 01/23/24 Modeling with Trig Functions Report: Global Warming (Group) 01/31/24
3-2 01/24/24 3.6 Differentiating Inverse Trigonometric Functions Worksheet 01/29/24 Section 3.6
Exercises 22, 24, 25, 28, 30, 31, 35, 39, 41, 44
Problems 51
Differentiating Inverse Trig Functions
Lab: 01/25/24 Newton’s Laws of Motion Report: Understanding Gravity (Group) 02/02/24
3-3 01/26/24 Trig Related Rates Worksheet 01/29/24 Section 4.6
Exercises 8
Problems 52, 55
SYU 63
Trig Related Rates
4-1 01/29/24 6.3 Position, Velocity and Acceleration Worksheet 02/05/24 Section 6.3
14, 21 (excl (f)), 29-33
Lab: 01/30/24 Newton’s Laws of Motion Big Assignment 1 02/09/24
4-2 01/31/24 5.1 Distance from Velocity Worksheet 02/05/24 Section 5.1
Exercises 5, 10-12, 14-20
Problems 37, 38, 39
Lab: 02/01/24 Sums and Sigma Notation Sigma Notation
4-3 02/02/24 5.1 Left- and Right-Hand Sums Worksheet 02/05/24 Section 5.1
Exercises 23, 24
SYU 45, 47
Section 5.2
Exercises 1-5
Problems 54
Riemann Sums
5-1 02/05/24 Catch Up Day/Big Assignment Help Section 5.2
Exercises 6-9
Problems 24, 34-36, 44, 55, 57
Definite Integral
Lab: 02/06/24 Sums and Sigma Notation Sums and Sigma Notation Quiz (Individual) 02/09/24 Riemann Sums with Sigma
5-2 02/07/24 5.2 Definite Integral Worksheet 02/12/24
Lab: 02/08/24 Riemann Sums Spreadsheet
5-3 02/09/24 7.5 Midpoint and Trapezoid Sums Worksheet 02/12/24 Section 7.5
Exercises 10, 12, 24, 28-31
SYU 53-54
6-1 02/12/24 5.3 FTC I Worksheet 02/19/24 Section 5.1
Problems 25, 34
SYU 48, 49
Section 5.2
27, 28, 30, 32, 33, 42
Section 6.2
Exercises 56-65
Problems 84
Lab: 02/13/24 Riemann Sums Spreadsheet
6-2 02/14/24 5.3 FTC I/Interpreting the Definite Integral See 6-1! Section 5.3
Exercises 1-8
Problems 17, 24-30
FTC I Proof
Lab: 02/15/24 Riemann Sums Report: Riemann Sums (Group) 02/23/24 Spreadsheet
6-3 02/16/24 5.4 Theorems about Definite Integrals Worksheet 02/16/24 Section 5.4
Exercises 1-5, 13, 15-19
Problems 35, 36, 38, 43a, 44, 48
Properties of Definite Integrals
7-1 02/19/24 6.2 Constructing Antiderivatives Worksheet 02/26/24 Section 6.2
Exercises 6-8, 10-13, 16-18, 21, 31, 32, 72-75
SYU 101, 102
Lab: 02/20/24 Average Value of a Function
7-2 02/21/24 7.1 Integration by Substitution Worksheet 02/67/24 Section 7.1
Exercises 1, 4, 5, 9, 14, 15, 26, 28, 41, 42, 53, 65, 68, 79, 80
Problems 90-92
Integration by Substitution
Lab: 02/24/24 Average Value of a Function Report: Short Report (Group) 03/01/24
7-3 02/23/24 7.2 Integration by Parts Worksheet 02/26/24 Section 7.2
Exercises 2-7, 11, 13, 24, 32, 41, 46
Problems 74, 76
Integration By Parts
8-1 02/26/24 Antidifferentiation Practice Worksheet 03/04/24 Any of the integrals in 7.1 or 7.2
Lab: 02/27/24 Quantities of Varying Density Big Assignment 2 03/08/24 Spreadsheet
8-2 02/28/24 Antidifferentiation Practice Worksheet 03/04/24
Lab: 02/29/24 Quantities of Varying Density Spreadsheet
8-3 03/01/24 7.6 Integrating to Infinity Worksheet 03/04/24 Section 7.6
Exercises 1a, 2, 5, 6, 9-13, 21, 26, 27, 31, 33, 35
Problems 42
Improper Integrals
9-1 03/04/24 7.6, 7.7 Other Improper Integrals Worksheet 03/18/24 Section 7.6
1b, 7, 17-20, 28, 30, 36, 39
Section 7.7
Exercises 10-13
Problems 31, 35
Lab: 03/05/24 Quantities of Varying Density On Big Assignment Spreadsheet
9-2 03/06/24 Big Assignment Help
Lab: 03/07/24 Midsemester Feedback
9-3 03/08/24 6.4 FTC II Worksheet (optional) 03/18/24 Section 6.4
Exercises 4, 7-15, 22, 24
Problems 26, 34-36
10-1 03/11/24 Spring Break
03/12/24 Spring Break
10-2 03/13/24 Spring Break
03/14/24 Spring Break
10-3 03/15/24 Spring Break
11-1 03/18/24 11.1 Differential Equations and Initial Value Problems Worksheet 03/25/24 Section 11.1
Exercises 8, 13, 14
Problems 24, 25, 29, 31, 35-38 Section 11.7
1
Intro to Differential Equations
Lab: 03/19/24 Force and Work
11-2 03/20/24 11.1 Differential Equation and Initial Value Problems See 11-1!
Lab: 03/21/24 Force and Work Report: Force and Work (Group) 03/29/24
11-3 03/22/24 11.2,11.5 Slope Fields and Equilibria Worksheet See 12-1! Section 11.2
Exercises 4, 6, 11, 12
Problems 19, 20-23, 30
Slope Fields
12-1 03/25/24 11.2,11.5 Slope Fields and Equilibria (continued) 04/02/24 Section 11.5
Exercises 3, 4, 8a,c,d, 20-22
SYU 45, 46, 49, 50
Lab: 03/26/24 Playing with Differential Equations Geogebra Applet
12-2 03/27/24 11.4 Separation of Variables Worksheet 04/02/24 Section 11.4
Exercises 1, 7, 9, 10, 17, 22, 24-30
Problems 42
Separation of Variables
Lab: 03/28/24 Playing with Differential Equations Report: Short Report (Group) 04/05/24 Geogebra Applet
12-3 03/29/24 11.4 Separation of Variables (continued) See 12-2! Section 11.4
Exercises 11, 12, 18-20
Problems 38-41, 43, 45
13-1 04/01/24 11.5 Growth and Decay Worksheet 04/08/24 Section 11.5
Exercises 1, 2, 4
Problems 34, 37, 41, 44
Exponential Models
Lab: 04/02/24 11.3 Euler’s Method Spreadsheet Euler’s Method
13-2 04/03/24 11.5, 11.6 Applications: Heating and Mixing I Worksheet 04/08/24 Section 11.5
Exercises 7, 8, 10-12
Problems 39, 40
SYU 47
Section 11.6
28-30
Newton’s Law of Cooling
Lab: 04/04/24 11.3 Euler’s Method Report: Short Report (Group) 04/12/24 Spreadsheet Section 11.3
Exercises 8, 9
Problems 14, 17
13-3 04/05/24 11.5, 11.6 Applications: Heating and Mixing I (continued) See 13-2!
14-1 04/08/24 11.5, 11.6 Applications: Heating and Mixing II Worksheet 04/15/24
Lab: 04/09/24 Chemical Rates Big Assignment 3 04/19/24
14-2 04/10/24 11.7 The Logistic Model for Population Worksheet 04/15/24 Section 11.7
Exercises 9-16
Problems 31, 33a,b, 34
SYU 43, 44, 49, 51
The Logistic Model
Lab: 04/11/24 Chemical Rates (On Big Assignment 3)
14-3 04/12/24 11.7 The Logistic Model for Population (continued) See 14-2!
15-1 04/15/24 11.6, 11.7 Populations Models with Migration Worksheet 04/22/24 Section 11.6
6, 10-13, 35
Section 11.7
33c
Lab: 04/16/24 Logistic Model with Harvesting: Fishery Management Geogebra Applet
15-2 04/17/24 Big Assignment Help
Lab: 04/18/24 Logistic Model with Harvesting: Fishery Management Report: Short Report (Group) 04/26/24
NOTE: No resubmit!
Geogebra Applet
15-3 04/19/24 11.7 The Logistic Model – Applications Worksheet 04/24/24
(Note: Wednesday submission!)
Section 11.7
38-42
16-1 04/24/24 11.7 The Logistic Model – Applications (continued) See 15-3!
Lab: 04/23/24 Logistic Model with Harvesting: Fishery Management Geogebra Applet
16-2 04/24/24 Course Evaluations