106L Materials (Fall 2021 - OUTDATED)

Apr 15, 2024

Class Information

Class Times, Zooms, Emails

Class/Lab Day and Time Location Instuctor TAs
106L Class MWF noon-12:50pm West Duke 108B Ruby Kim
106L Lab TuTh noon-12:50pm West Duke 08A Connie Vi Andre Hall

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. 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
  • 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.
  • 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

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
1-1 08/23/21 Review of 105L Concepts Worksheet 08/30/21 105L Syllabus and Worksheets
Lab 08/24/21 1.5 Crash Course in Trigonometry Part I Entire lab (Individual) 08/30/21 Basic Trig
1-2 08/25/21 1.5 Crash Course in Trigonometry Part II Worksheet 08/30/21
  • Unit Circle
  • Radians
Lab 08/26/21 Modeling with Trig Functions Spreadsheet
Geogebra Applet		 Sinusoidal Models
1-3 08/27/21 Trigonometric Identities and Important Limits Worksheet 08/30/21
  • Trig identities
  • Angle Addition
2-1 08/30/21 3.5 Differentiating Trigonometric Functions Worksheet 09/06/21
  • Diff. Trig Functions
  • More!
Lab 08/31/21 Modeling with Trig Functions Report: Global Warming (Group) 09/10/21 Spreadsheet
2-2 09/01/21 1.5 Inverse Trigonometric Functions Worksheet 09/06/21 Inverse Trig Functions
Lab 09/02/21 Newton’s Laws of Motion
2-3 09/03/21 3.6 Differentiating Inverse Trigonometric Functions Worksheet 09/06/21 Differentiating Inverse Trig Functions
3-1 09/06/21 4.6 Trig Related Rates Worksheet 09/13/21 Trig Related Rates
Lab 09/07/21 Newton’s Laws of Motion Report: Understanding Gravity (Group) 09/17/21
3-2 09/08/21 6.3 Position, Velocity and Acceleration Worksheet 09/13/21
Lab 09/09/21 Sums and Sigma Notation
3-3 09/10/21 5.1 Distance from Velocity Worksheet 09/13/21
4-1 09/13/21 5.1 Left- and Right-Hand Sums Worksheet 09/20/21 Riemann Sums
Lab 09/14/21 Sums and Sigma Notation Sums and Sigma Notation Quiz (Individual) 09/20/21 Sigma Notation
4-2 09/15/21 Catch Up Day Big Assignment 1 09/24/21
Lab 09/16/21 NO LAB
4-3 09/17/21 NO CLASS
5-1 09/20/21 5.2 Definite Integral Worksheet 09/27/21 Definite Integral
Lab 09/21/21 Riemann Sums Spreadsheet Riemann Sums with Sigma
5-2 09/22/21 Big Assignment Help
Lab 09/23/21 Riemann Sums Spreadsheet Riemann Sums with Sigma
5-3 09/24/21 7.5 Midpoint and Trapezoid Sums Worksheet 09/27/21
  • Midpoint Sums
  • Trapezoid Sums
6-1 09/27/21 5.3 Error and Accuracy of LHS/RHS Worksheet 10/04/21
Lab 09/28/21 Riemann Sums Report: Riemann Sums (Group) 10/08/21 Spreadsheet
6-2 09/29/21 5.3 FTC I Worksheet See 6-1! FTC I Proof
Lab 09/30/21 Average Value of a Function
6-3 10/01/21 5.4 Theorems about Definite Integrals Worksheet 10/04/21 Supplementary Video Properties of Definite Integrals
7-1 10/04/21 Fall Break
Lab 10/05/21 Fall Break
7-2 10/06/21 6.2 Constructing Antiderivatives Worksheet 10/11/21
  • Reverse Power Rule
  • 1/x
  • Trig and Exponential
Lab 10/07/21 Average Value of a Function Report: Short Report (Group) 10/14/21
7-3 10/08/21 7.1 Integration by Substitution Worksheet 10/11/21 Integration by Substitution
8-1 10/11/21 7.2 Integration by Parts Worksheet 10/18/21 Integration By Parts
Lab 10/12/21 Quantities of Varying Density Big Assignment 2 10/22/21 Spreadsheet
8-2 10/13/21 6.4 FTC II Worksheet 10/18/21 FTC II
Lab 10/14/21 Quantities of Varying Density (On Big Assignment 2) Spreadsheet
8-3 10/15/21 Antidifferentiation Practice I Worksheet See 9-1!
9-1 10/18/21 Antidifferentiation Practice II Worksheet 10/25/21
Lab 10/19/21 NO LAB
9-2 10/20/21 Big Assignment Help
Lab 10/21/21 8.5 Force and Work Report: Short Report (Group) 10/28/21
9-3 10/22/21 7.6,7.7 Integrating to Infinity Worksheet 10/25/21
10-1 10/25/21 7.6, 7.7 Other Improper Integrals Worksheet 11/01/21
Lab 10/26/21 8.5 Force and Work
10-2 10/27/21 11.1 Differential Equations and Initial Value Problems Worksheet 11/01/21
Lab 10/28/21 NO LAB
10-3 10/29/21 11.1 Differential Equations and Initial Value Problems Worksheet See 10-2!
11-1 11/01/21 11.2, 11.5 Slope Fields and Equilibria Worksheet 11/08/21
Lab 11/02/21 Playing with Differential Equations Geogebra Applet
11-2 11/03/21 11.2,11.5 Slope Fields and Equilibria Worksheet See 11-1!
Lab 11/04/21 Playing with Differential Equations Report: Short Report (Group) 11/11/21 Geogebra Applet
11-3 11/05/21 11.4 Separation of Variables Worksheet See 12-1!
12-1 11/08/21 11.4 Separation of Variables completion 11/15/21
Lab 11/09/21 11.3 Euler’s Method Big Assignment 3 11/19/21 Spreadsheet
12-2 11/10/21 11.5 Growth and Decay Worksheet 11/15/21
Lab 11/11/21 Euler’s Method (On Big Assignment 3) Spreadsheet
12-3 11/12/21 11.5, 11.6 Applications: Heating and Mixing I Worksheet 11/15/21
13-1 11/15/21 11.5, 11.6 Applications: Heating and Mixing II Worksheet 11/22/21
Lab 11/16/21 Chemical Rates
13-2 11/17/21 Big Assignment help day
Lab 11/18/21 Chemical Rates Report: The general case (Group) 11/29/21
13-3 11/19/21 11.7 The Logistic Model for Population Worksheet 11/22/21
14-1 11/22/21 11.6, 11.7 Populations Models with Migration Worksheet See 15-1
Lab 11/23/21 NO LAB
14-2 11/24/21 Thanksgiving Break
Lab 11/25/21 Thanksgiving Break
14-3 11/26/21 Thanksgiving Break
15-1 11/29/21 11.6, 11.7 Populations Models with Migration Worksheet 12/06/21
NOTE: No resubmit!
Lab 11/30/21 Logistic Model with Harvesting: Fishery Management Geogebra Applet
15-2 12/01/21 11.7 The Logistic Model – Applications Worksheet 12/06/21
NOTE: No resubmit!
Lab 12/02/21 Logistic Model with Harvesting: Fishery Management Report: Short Report (Group) 12/08/21
NOTE: No resubmit!		 Geogebra Applet
15-3 12/03/21 Lab Completion/TCE
calculus 106L
Rann Bar-On
Rann Bar-On
Senior Lecturer in Mathematics

I am primarily a teacher and curriculum designer in calculus and linear algebra.