Joanna Bieri

Applied Math Professor

Department of Economics

University of Redlands

Calculus I
Fall 2020

• Important Course Documents
  
  Course Syllabus
  Schedule
  Anonymous Feedback
  
  
• Daily Assignments - Reading - Handouts
  
  Each day I will post the video lectures, homework, additional reading, in class handouts, and other information below.
  Click on the links below to see the information for that day.
  If you notice bad video quality or no sound, try right clicking and saving the video. Then play it using your favorite media player. I like VLC.
  • DAY 1 - Click Here
    
    Wednesday August 26
    To be successful in higher level math you need to keep practicing and often relearning the basics.
    Really try to work this semester to become the boss of basic algebra, trigonometric functions, and graphing/answer checking!
    
    PRE-CLASS:

    New Groups Assigned

    CLASS TIME:

    Welcome to Calculus!

    AFTER CLASS:

    Prep for Day 2 and
    HW1

    EXTRAS:

    An overview of the Website, Teams, Moodle, the Textbook, and Educreations
    Example HW soln using Educreations
    Examplw HW soln using my phone camera
    
    Algebra Review
    Video: Review of Functions
    

    
    
  • DAY 2 - Click Here
    
    Friday August 28
    PRE-CLASS:

    Video: Measuring Velocity
    Video: Measuring Velocity Example
    Spreadsheet: Measuring Velocity Example
    Desmos Graph: Measuring Velocity Example
    HW2 Assigned

    CLASS TIME:

    Exercises 1-5 and questions about the problem you chose.

    AFTER CLASS:

    Prep for Day 3

    EXTRAS:

    
    
  • DAY 3 - Click Here
    
    Monday August 31
    PRE-CLASS:

    Video: Introduction to Limits
    Video: Examples for Limits
    HW3 Assigned

    CLASS TIME:

    Exercises 1-8

    AFTER CLASS:

    Hand in Homework Solution Video 1 - Choose one of 6,7, or 8 from Homework 2
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 4

    EXTRAS:

    
    
  • DAY 4 - Click Here
    
    Wednesday September 2nd
    PRE-CLASS:

    Video: Derivative of a Function at a Point
    Video: Example Activity 1.3.3 from book
    HW4 Assigned

    CLASS TIME:

    Work on homework problems 1-9

    AFTER CLASS:

    Prep for Day 5

    EXTRAS:

    
    
  • DAY 5 - Click Here
    
    Friday September 4th
    PRE-CLASS:

    Video: The Derivative Function
    Video: Example of The Derivative Function
    HW5 Assigned
    Worksheet

    CLASS TIME:

    Work on homework problems 1-9 and Worksheet problem 3

    AFTER CLASS:

    Prep for Day 6
    New Groups Assigned starting Monday

    EXTRAS:

    Video: Homework 1 Survey Responses
    

    
    
  • DAY 6 - Click Here
    
    Monday September 7th
    PRE-CLASS:

    Video: Estimating and Interpreting the Derivative
    Video: Spreadsheet Example of Estimating the Derivative
    Video: Examples - Interpreting the Derivative
    Spreadsheet: Estimating the Derivative
    HW6 Assigned

    CLASS TIME:

    Work on homework problems 1-8

    AFTER CLASS:

    Hand in Homework Solution Video 2 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 7

    EXTRAS:

    
    
  • DAY 7 - Click Here
    
    Wednesday September 9th
    PRE-CLASS:

    Video: The Second Derivative
    HW7 Assigned

    CLASS TIME:

    Work on homework problems 1-9

    AFTER CLASS:

    Prep for Day 8

    EXTRAS:

    
    
  • DAY 8 - Click Here
    
    Friday September 11th
    PRE-CLASS:

    Video: Limits Again
    Video: Continuity
    Video: Differentiability
    HW8 Assigned

    CLASS TIME:

    Work on homework problems 1-8

    AFTER CLASS:

    Prep for Day 9
    New Groups Assigned starting Monday

    EXTRAS:

    Practice Problems for Exam 1

    
    
  • DAY 9 - Click Here
    
    Monday September 14th
    PRE-CLASS:

    Video: Tangent Line Approximation
    Video: Example of Using the Tangent Line Approximation
    HW9 Assigned
    Start working on the Practice Exam Problems

    CLASS TIME:

    Work on homework problems 1-8

    AFTER CLASS:

    Hand in Homework Solution Video 3 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 10 - Review for Exam
    

    EXTRAS:

    Practice Problems for Exam 1
    Click Here To see what Moodle will look like for the exam. You can try taking the practice exam just like you will take exam 1. This is not graded, it's just for you to try out.
    

  • DAY 10 - Click Here
    
    Wednesday September 16th
    PRE-CLASS:

    Study for the exam and work on the practice problems:
    Practice Problems for Exam 1
    Click Here To see what Moodle will look like for the exam. You can try taking the practice exam just like you will take exam 1. This is not graded, it's just for you to try out.

    CLASS TIME:

    We will meet all together at 1pm in the General Channel to Review for the Exam. Please bring your questions!!

    AFTER CLASS:

    Review for Exam
    

    EXTRAS:

    Solutions to Practice Problems for Exam 1
    

  • DAY 11 - Exam 1
    
    Friday September 18th
    PRE-CLASS:

    Study for the exam and work on the practice problems:

    CLASS TIME:

    Exam 1
    
    Troubleshooting for the Exam:
    ** I can't submit my work on Moodle:
    You should email your exam to joanna bieri@redlands.edu
    ** I have a question or need clarification about a question on the exam:
    You should post your question to our teams Exam Channel
    ** My internet completely stopped working and/or I am having an emergency:
    You should call or text Joanna at 847-404-4299(cell) but deal with your emergency first!
    

    AFTER CLASS:

    Prep for Day 12
    

  • DAY 12 - Click Here
    
    Monday September 21st
    PRE-CLASS:

    Video: Power Rule
    Video: Exponential Rules
    Video: General Derivative Rules and Examples
    HW10 Assigned

    CLASS TIME:

    Work on homework problems 1-13

    AFTER CLASS:

    No Homework Solutions Due!
    If you forgot to do the homework survey last week, please do it now. It really helps me to know how you all are doing! I am happy to make changes to the class, slow down, speed up, etc but I can't make changes if I don't know how everyone is feeling.
    Take the Homework Survey - same link every time
    Prep for Day 13

    EXTRAS:

    
    
  • DAY 13 - Click Here
    
    Wednesday September 23rd
    PRE-CLASS:

    Video: Sine and Cosine Rules
    Video: Example with Derivative Rules
    HW11 Assigned
    More Practice, Worksheet Problems
    Worksheet Problems - Solutions

    CLASS TIME:

    Work on homework problems 1-3 or Worksheet Problems if you are ahead!

    AFTER CLASS:

    Prep for Day 14
    Remember: NO CLASS Friday September 25th! - Day 14 is on Monday September 28th

    EXTRAS:

    
    New Groups Assigned starting Monday

    
    
  No Class Friday September 25th.
  • DAY 14 - Click Here
    
    Monday September 28
    ** NEW GROUPS HERE
    PRE-CLASS:

    Video: Product and Quotient Rules
    Video: Examples Using Prod and Quot Rules
    HW12 Assigned
    Keep a list of your derivative rules and start memorizing them!
    More Practice, Worksheet Problems
    Worksheet Problems - Solutions

    CLASS TIME:

    Work on homework problems 1-14

    AFTER CLASS:

    Hand in Homework Solution Video 4 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 15
    

    EXTRAS:

    
    

  • DAY 15 - Click Here
    
    Wednesday September 30
    PRE-CLASS:

    Video: More Trigonometric Functions
    Handout: Trigonometric Identities
    ** Keep this print out of trigonometric identites handy whenever you are doing a calculation with trig functions.
    HW13 Assigned
    

    CLASS TIME:

    Work on homework problems 1-8

    AFTER CLASS:

    Prep for Day 16
    

    EXTRAS:

    
    

  • DAY 16 - Click Here
    
    Friday October 2
    PRE-CLASS:

    Video: Intro to the Chain Rule
    Video: Examples using the Chain Rule
    HW14 Assigned
    Worksheet
    Worksheet Solutions/Hints
    

    CLASS TIME:

    Work on homework problems 1-11

    AFTER CLASS:

    Prep for Day 17
    

    EXTRAS:

    
    

  • DAY 17 - Click Here
    
    Monday October 5
    ** SAME GROUPS HERE
    PRE-CLASS:

    Video: Derivative Rules + Hard Product Rule Example
    Video: Hard Chain Rule Example
    HW15 Assigned
    Keep a list of your derivative rules and start memorizing them!

    CLASS TIME:

    Work on homework problems 1-10 (non-book problems) see if you can convince yourself of getting the right answer without looking at solutions!

    AFTER CLASS:

    Hand in Homework Solution Video 5 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 18
    

    EXTRAS:

    
    

  • DAY 18 - Click Here
    
    Wednesday October 7
    PRE-CLASS:

    Video: Inverses and Derivative of Inverse Functions
    Video: More Examples - Derivative of Inverse Functionns
    HW16 Assigned
    Keep a list of your derivative rules and start memorizing them! Add the inverse function rules to that list.

    CLASS TIME:

    Work on Activity 2.6.4 Work on Problems 1-12

    AFTER CLASS:

    Prep for Day 19
    

    EXTRAS:

    
    

  • DAY 19 - Click Here
    
    Friday October 9
    PRE-CLASS:

    Video: Implicity Functions and Derivatives
    HW17 Assigned
    

    CLASS TIME:

    Work on Problems 1-8

    AFTER CLASS:

    Prep for Day 20
    
    New Groups Assigned starting Monday

    EXTRAS:

    Practice for Exam 2: Exam 2 Practice Problems
    Solutions will be posted on Wednesday October 14. Please make sure you have attempted all of these problems BEFORE that class.
    

  • DAY 20 - Click Here
    
    Monday October 12
    Reminder: New Groups for this week and next.
    PRE-CLASS:

    Video: L'Hopitals Rule
    HW18 Assigned
    

    CLASS TIME:

    Work on Problems 1-8

    AFTER CLASS:

    Hand in Homework Solution Video 6 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 21 - Exam Review Day
    Practice for Exam 2: Exam 2 Practice Problems
    Solutions will be posted on Wednesday October 14. Please make sure you have attempted all of these problems BEFORE that class.

    EXTRAS:

    
    

  • DAY 21 - Click Here
    
    Wednesday October 14
    PRE-CLASS:

    Finish all probelms from the practice exam and come to class with questions.
    Exam 2 Practice Problems
    Exam 2 Practice Problems - Solutions
    

    CLASS TIME:

    Review for Exam 2

    AFTER CLASS:

    Prep for Day 22 - Exam 2!!

    EXTRAS:

    More Examples for L'Hopitals Rule and Graphing
    Derivative of Inverse: arccos(x)
    
    

  • DAY 22 - Exam 2
    
    Friday October 16
    PRE-CLASS:

    Study for the exam and work on the practice problems:

    CLASS TIME:

    Exam 2
    
    Troubleshooting for the Exam:
    ** I can't submit my work on Moodle:
    You should email your exam to joanna bieri@redlands.edu
    ** I have a question or need clarification about a question on the exam:
    You should post your question to our teams Exam Channel
    ** My internet completely stopped working and/or I am having an emergency:
    You should call or text Joanna at 847-404-4299(cell) but deal with your emergency first!
    

    AFTER CLASS:

    Prep for Day 23
    

  • DAY 23 - Click Here
    
    Monday October 19 - Mental Health Day!
    PRE-CLASS:

    Think of a few things that you can do to improve your mental health and increase the amount of hapiness in your life!

    CLASS TIME:

    No class meeting, but you are welceome to post an inspirational message to our teams site.
    Take one hour and twenty minutes for yourself!
    
    Snuggle with a pet,
    meditate,
    take a nap,
    exercise,
    video chat a friend,
    host a virtual dance party,
    play a video game,
    bake a cake,
    play an instrument,
    do some art,
    read a book
    learn something just for fun,
    ...
    anything that would recharge your soul.
    
    You are not allowed to do other work during our class time :)

    AFTER CLASS:

    Prep for Day 24
    

  • DAY 24 - Click Here
    
    Wednesday October 21
    Keep the same groups from last week.
    PRE-CLASS:

    Worksheet - do this before the lecture video
    Video: Using Derivatives for Extreme Values (Critical Points or Max/Min)
    HW19 Assigned
    

    CLASS TIME:

    Work on Problems 1-7

    AFTER CLASS:

    Prep for Day 25

    EXTRAS:

    
    

  • DAY 25 - Click Here
    
    Friday October 23
    PRE-CLASS:

    Video: Families of Functions
    HW20 Assigned
    

    CLASS TIME:

    Work on Problems 1-5

    AFTER CLASS:

    Prep for Day 26
    
    New Groups Assigned starting Monday

    EXTRAS:

    
    

  • DAY 26 - Click Here
    
    Monday October 26
    New Groups
    
    PRE-CLASS:

    Video: Global Optimization
    Video: Math Modeling and Applied Optimization
    HW21 Assigned
    

    CLASS TIME:

    Work on Problems 1-4

    AFTER CLASS:

    Hand in Homework Solution Video 7 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 27
    

    EXTRAS:

    Information for Test Corrections
    Hand in Test Corrections on Moodle
    
    Extra Video: Families of Functions
    
    

  • DAY 27 - Click Here
    
    Wednesday October 28
    PRE-CLASS:

    Video: Intro to Applied Optimization
    Video: More Examples Applied Optimization
    HW22 Assigned
    

    CLASS TIME:

    Work on Problems 1-9

    AFTER CLASS:

    Prep for Day 28
    

    EXTRAS:

    Information for Test Corrections
    Hand in Test Corrections on Moodle
    
    
    Applets to explore more examples of Applied Optimization Problems:
    Bending a wire
    Rectangle in Parabola
    Farming - Three Pens
    Triangle and Square wire problem
    Rectangle defined by a Function
    Circle inside a Triangle
    
    

  • DAY 28 - Click Here
    
    Friday October 30
    PRE-CLASS:

    Video: Intro to Related Rates
    Video: More Examples Related Rates
    HW23 Assigned
    

    CLASS TIME:

    Work on Problems 1-7

    AFTER CLASS:

    Prep for Day 29
    
    Practice Exam Problems
    

    EXTRAS:

    Information for Test Corrections
    Hand in Test Corrections on Moodle
    
    
    Applets to explore more examples of Related Rates Problems:
    Oil Slick
    Falling Ladder
    Conical Tank
    Lamppost and Shaddow
    Rocket Launch
    
    

  • DAY 29 - Click Here
    
    Monday November 2
    Keep your same groups.
    
    PRE-CLASS:

    Worksheet Applied Optimization - try before lecture
    Worksheet Related Rates - try before lecture
    Video: Example of Optimization
    Video: Examples of Applied Optimization
    Video: Examples of Related Rates
    HW24 Assigned
    Exam Reivew Homework Problems - to be discussed with your group in class
    Exam Reivew Homework Solutions
    

    CLASS TIME:

    Work on Problems 1-4

    AFTER CLASS:

    Hand in Homework Solution Video 8 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 30 - Exam Review.
    
    Practice Problems Exam 3

    EXTRAS:

    Information for Test Corrections
    Hand in Test Corrections on Moodle
    
    Extra Video: Families of Functions
    
    

  • DAY 30 - Click Here
    
    Wednesday November 4
    
    
    PRE-CLASS:

    Practice Problems Exam 3
    Solutions - Practice Problems Exam 3

    CLASS TIME:

    Exam Review! We will meet first all together and then break into our groups.

    AFTER CLASS:

    Prep for Day 31 - Exam 3

    EXTRAS:

    Information for Test Corrections
    Hand in Test Corrections on Moodle
    
    

  • DAY 31 - Exam 3
    
    Friday November 6
    
    
    PRE-CLASS:

    Sutdy for the Exam!

    CLASS TIME:

    Exam 3
    
    Troubleshooting for the Exam:
    ** I can't submit my work on Moodle:
    You should email your exam to joanna bieri@redlands.edu
    ** I have a question or need clarification about a question on the exam:
    You should post your question to our teams Exam Channel
    ** My internet completely stopped working and/or I am having an emergency:
    You should call or text Joanna at 847-404-4299(cell) but deal with your emergency first!
    

    AFTER CLASS:

    Prep for Day 32
    

    Information for Test Corrections
    Hand in Test Corrections on Moodle - Due Sunday!
    

    EXTRAS:
    
  • DAY 32 - Click Here
    
    Monday November 9
    New Groups
    
    PRE-CLASS:

    Pre Lecture Exploration - Distance Traveled
    Video: Distanced Traveled Exploration
    Video: Introduction to the Definite Integral - Antiderivative
    HW25 Assigned
    

    CLASS TIME:

    Work on Problems 1-10

    AFTER CLASS:

    No Video due.
    Prep for Day 33
    

    EXTRAS:

    
    
  • DAY 33 - Click Here
    
    Wednesday November 11
    PRE-CLASS:

    Video: Definite Integral and Reimann Sum
    Exploration Reimann Sums
    HW26 Assigned
    

    CLASS TIME:

    Work on Problems 1-7

    AFTER CLASS:

    Prep for Day 34
    

    EXTRAS:

    Information for Test Corrections - Exam 3
    Hand in Test Corrections on Moodle - Due 11/29

    
    
  • DAY 34 - Click Here
    
    Friday November 13
    PRE-CLASS:

    Video: The Definite Integral and its Properties
    Video: Example Problems - Using Properties of the Definite Integral
    HW27 Assigned
    

    CLASS TIME:

    Work on Problems 1-10

    AFTER CLASS:

    Prep for Day 35
    

    EXTRAS:

    Information for Test Corrections - Exam 3
    Hand in Test Corrections on Moodle - Due 11/29

    
    
  • DAY 35 - Click Here
    
    Monday November 16
    PRE-CLASS:

    Video: The FUNdamental Theorem of Calculus
    Video: Example Problems - Using the Fundamental Theorem
    HW28 Assigned
    

    CLASS TIME:

    Work on Problems 1-11

    AFTER CLASS:

    Hand in Homework Solution Video 9 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    Prep for Day 36
    

    EXTRAS:

    Information for Test Corrections - Exam 3
    Hand in Test Corrections on Moodle - Due 11/29

    
    
  • DAY 36 - Click Here
    
    Wednesday November 18
    PRE-CLASS:

    Video: Antiderivatives, Definite Integrals, and Indefinite Integrals
    HW29 Assigned
    Homework Worksheet
    Homework Worksheet - answers
    

    CLASS TIME:

    Work on Problems from the worksheet

    AFTER CLASS:

    Prep for Day 37
    

    EXTRAS:

    Information for Test Corrections - Exam 3
    Hand in Test Corrections on Moodle - Due 11/29

    
    
  • DAY 37 - Click Here
    
    Friday November 20
    PRE-CLASS:

    Video: Introduction to Differential Equations
    Video: Examples with Differential Equations
    HW30 Assigned
    

    CLASS TIME:

    Work on Problems from the worksheet

    AFTER CLASS:

    No class on Monday 11/23 - but you have a video due
    Test corrections due 11/29
    Review class - please show up with your video on - Monday 11/30
    Your job going forward is to study for the exam on December 2nd at 9am.
    

    EXTRAS:

    Information for Test Corrections - Exam 3
    Hand in Test Corrections on Moodle - Due 11/29

    
    
  • DAY 38 - Monday 11/23 - Homework Video Due
    
    Monday November 23
    PRE-CLASS:

    CLASS TIME:

    No Class Today

    AFTER CLASS:

    Hand in Homework Solution Video 10 - Make sure you signed up for your unique problem on Teams.
    Take the Homework Survey (worth 10% of homework grade!)
    
    No class on Monday 11/23 - but you have a video due
    Test corrections due 11/29
    Review class - please show up with your video on and your hair done - Monday 11/30
    Your job going forward is to study for the exam on December 2nd at 9am.
    

    EXTRAS:

    Information for Test Corrections - Exam 3
    Hand in Test Corrections on Moodle - Due 11/29

    
    
  • DAY 39 - Monday 11/30 - Exam Review Class - Cameras on :)
    
    Monday November 30
    PRE-CLASS:

    CLASS TIME:

    Review for Exam 4

    AFTER CLASS:

    Your job going forward is to study for the exam on December 2nd at 9am.
    

    EXTRAS:

    
    
  • Exam 4 Info Posted Here
    
    
    STUDY AND PRACTICE:

    You can go back through the Homework from chapter 4 all and 7.1. I also posted lots of Activites that are good practice for Exam 4 as part of HW 30. Check out the awesome videos that your classmates are making!
    
    Practice - Exam 4
    Practice - Exam 4 - Solutions Don't peek at theses until have have completely solved the practice exam!
    

    
    
• Practice Exams and Solutions
  • Practice Exams
    
    Practice Problems for Exam 1
    Solutions to Practice Problems for Exam 1
    Practice Problems for Exam 2
    Solutions to Practice Problems for Exam 2
    Practice Problems for Exam 3
    Solutions to Practice Problems Exam 3
    
    
    
• Lecture Notes
  
  USE AT YOUR OWN RISK - There could be typos that are corrected in class, so please use common sense and your own notes to compare to what you see here:
  
  Review of Functions and Continuity
  Measuring Velocity
  Limits and Continuity
  More general rates of Change
  The Derivative Function
  Interpreting the Derivative
  Tangent Line Approxumation - Local Lineariation Derivative Function and Second Derivative and Differentiability
  Calculating the Derivative using Rules
  Calculating the Derivative of Exponential Functions
  Product and Quotient Rule
  Chain Rule
  Trigonometric Functions
  Using Inverses
  Derivatives of Implicit Functions
  
  Using the Derivative - Max and Min
  Using the Derivative - Optimization
  Using the Derivative - Optimization and Modeling
  More Practice: Optimization and Modeling
  Related Rates
  l'Hopitals Rule for evaluating Limits
  Introduction to the Definite Integral
  Riemann Sums and the Definite Integral
  Fundamental Theorem and the Meaning of the Definite Integral
  Other Theorems for the Definite Integral
  Antiderivatives and Evaluating Integrals
  Introduction to Differential Equations
  -->
  
  
  


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