Hand-outs

• Welcome Packet
• Information Sheet for this section

Useful links

• Canvas (for course material, submitting homework, etc.)
• Piazza (online forum for discussing your questions)
• Desmos (online graphing calculator)
• The Mathist (online math editor)

Office hours

Assignments

As a general rule, you should try all the exercises at the end of every section we cover from the book. To help you focus on the material, a selection of problems will be assigned below for every lecture. There will be three types of assignments: Classwork, Homework, and Presentations.

• Classwork will be a number of problems to be discussed in breakout rooms during class meetings. You will be divided into smaller groups to discuss these problems and I will be available to answer your questions.

• Homework problems for each lecture should be submitted on Canvas before the next meeting. I will then grade and comment on your solutions as appropriate.
  You should write up solutions to the homework problems, either on paper, in an online editor (such as the Mathist), or using your favorite note-taking app.
  However you do it, you should eventually make your homework into a single pdf file, either using a scanner app, or by saving/exporting/printing as a pdf file.
  Below are some suggestions for you to hand in a nice homework set every time:
  1. The most important thing is that I should be able to read your homework, so please write neatly and clearly.
  2. Indicate which problem you are solving, either by writing the problem itself before the solution, or by mentioning the number of the problem on the left margin.
  3. Do the problems in order.
  4. To receive full credit, please show all your work in reaching a solution. Explain, if necessary. Simply mentioning the final answer is not enough most of the times.
  5. Submit your homework well before the lecture starts. Give yourself enough time to scan and upload your file to Canvas, just in case of any technical difficulty.
  6. Homework submitted after the due date will not be accepted, as the course has a very fast pace and the solutions are posted online soon after the deadline.

• Presentations are also part of the homework problems. You should all write up solutions for them and save them as a separate pdf file (in Landscape mode), but you should not submit them on Canvas. Instead, you should be prepared to present your solutions to class during the next meeting using Zoom Screen Sharing.

Lecture plan

Below is the day-to-day plan of our summer class and will be updated as we progress.

• June 22: functions and functional notation, rates of change
  To read: Sections 1.1 & 1.2 (from the textbook)
  To do: Assignment 1 (due Tue., June 23, by 10am)
             Solutions
  Also, please email me with the following information about yourself (one item per line and in order, please).

  • Last name
  • First name
  • E-mail address
  • Contact number
  • Hometown/time zone
  • High-School graduation date
  • Something amusing, interesting or impressive about yourself

• June 23: more rates of change, lines
  To read: Sections 1.3, 1.4 & 1.5
  To do: Assignment 2 (due June 24, by 10am)
             Solutions

• June 24: input and output, domain & range, piecewise-defined functions
  To read: Sections 2.1, 2.2 & 2.3
  To do: Assignment 3 (due June 25, by 10am)
             Solutions

• June 25: inverse functions, concavity, (quadratic) equaions
  To read: Sections 2.5, 2.6 and 3.1
  To do: Assignment 4 (due June 29, by 10am)
             Solutions

• June 29: quadratic functions, inequalities
  To read: Sections 3.1 and 3.2
  To do: Assignment 5 (due June 30, by 10am)
             Solutions

• June 30: more about functions, graphing and inequalities
  To do: Assignment 6 (due July 1, by 10am)
             Solutions

• July 1: exponential growth and decay
  To read: Section 4.1. It might help if you do Problems 70 and 71 of the assignment below first.
  To do: Assignment 7 (due July 2, by 10am)
             Solutions

• July 2: exponential functions, limits and asymptotes
  To read: Section 4.2, 4.3.
  To do: Assignment 8 (due July 6, by 10am)
             Solutions

  Thursday, July 2: The first test will be available here on Canvas from 6 pm.
  • You will need to download and print the test, then write your solutions on the print-out. When you are finished, you should scan and upload your solutions back to Canvas.
  • You will have 3 hours (180 minutes) from download to upload. Answering the questions is expected to take no more than 2 hours. Please write clearly and legibly.
  • The upload link on Canvas will lock out at 9 pm on Friday, July 3. Please make sure to upload your solutions before then.
  • Your solutions must be your own individual work and you may not collaborate or receive any outside help.
  • You may also not use any online resources such as Desmos or web search engines. Use of an offline graphing calculator is fine though.
  • If a question on the test needs clarification, please send a PRIVATE email on Piazza to ALL THE INSTRUCTORS from 6 pm to midnight on Thursday or 8 am - 9 pm on Friday.
  • This test covers material from Assignment 1 to Assignment 5, as well as textbook sections 1.1-1.5 and 2.1-3.2, all inclusive.

• July 6: compounding
  To read: Section 4.4, 4.5.
  To do: Assignment 9 (due July 7, by 10am)
             Solutions
             Moreover, please go over your graded test and review the comments we have left for you. Re-do those questions that you have missed and make sure you understand what the correct solution should be; if it is still not clear, please stop by my office hours and let's talk about them.

• July 7: more on exponential growth and decay, logarithms
  To read: Section 4.5, 5.1.
  To do: Assignment 10 (due July 8, by 10am)
             Solutions

• July 8: exponential models, the logarithmic function and its applications
  To read: Section 5.2, 5.3.
  To do: Assignment 11 (due July 9, by 10am)
             Solutions

• July 9: more examples of exponentials and logarithms
  To read: Section 5.2, 5.3, 5.4.
  To do: Assignment 12 (due July 13, by 10am)
             Solutions

• July 13: transformations of functions
  To read: Section 6.1, 6.2, 6.3.
  To do: Assignment 13 (due July 14, by 10am)
             Solutions

• July 14: more transformations of functions, symmetry
  To read: Section 6.1, 6.2, 6.3, 7.1.
  To do: Assignment 14 (due July 15, by 10am)
             Solutions

• July 15: periodic functions
  To read: Section 7.1, 7.2.
  To do: Assignment 15 (due July 16, by 10am)
             Solutions

• July 16: radians, arc length
  To read: Section 7.2, 7.3.
  To do: Assignment 16 (due July 20, by 10am)
             Solutions

  Thursday, July 16: The second test will be available here on Canvas from 6 pm.
  • You will need to download and print the test, then write your solutions on the print-out. When you are finished, you should scan and upload your solutions back to Canvas.
  • You will have 3 hours (180 minutes) from download to upload. Answering the questions is expected to take no more than 2 hours. Please write clearly and legibly.
  • The upload link on Canvas will lock out at 9 pm on Friday, July 17. Please make sure to upload your solutions before then.
  • Your solutions must be your own individual work and you may not collaborate or receive any outside help.
  • You may also not use any online resources such as Desmos or web search engines. Use of an offline graphing calculator is fine though.
  • If a question on the test needs clarification, please send a PRIVATE email on Piazza to ALL THE INSTRUCTORS from 6 pm to midnight on Thursday or 8 am - 9 pm on Friday.
  • This test covers material of Chapter 4-6 of the textbook.

• July 20: graphs of sine and cosine, some trigonometric identities, sinusoidal functions
  To read: Section 7.3, 7.4, 7.5.
  To do: Assignment 17 (due July 21, by 10am)
             Solutions

• July 21: solving right triangles, the tangent function
  To read: Section 7.6, 7.7, 8.1.
  To do: Assignment 18 (due July 22, by 10am)
             Solutions

• July 22: inverse trigonometric functions, trigonometric equations, solving non-right triangles
  To read: Section 7.8, 8.2.
  To do: Assignment 19 (due July 23, by 10am)
             Solutions

• July 23: sum-of-angles and double-angle identities, composition of functions
  To read: Section 9.2, 9.3, 10.1.
  To do: Assignment 20 (due July 27, by 10am)
             Solutions

• July 27: inverse functions in general, power functions
  To read: Section 9.2, 10.1, 10.2, 11.1.
  To do: Assignment 21 (due July 28, by 10am)

• July 28: polynomials
  To read: Section 9.2, 11.1–11.3.
  To do: Assignment 22 (due July 29, by 10am)

• July 29: rational functions
  To read: Section 11.2–11.5.
  To do: Assignment 23 (due July 30, by 10am)

  Thursday, July 30: The third test!
  
  • The test covers material from Chapters 7, 8.1–8.2, 9.1–9.3, 10.1–10.2, 11.1–11.3 (excluding raional functions) of the textbook (only the sections referenced in the lectures and assignments).