Joanna Bieri

Applied Math Professor

Department of Economics

University of Redlands

Math for Data Science
Spring 2025

Office Location:
Duke Hall #209
Phone: 909-748-8630
E-Mail: joanna_bieri@redlands.edu
(Email or Teams are my preferred contact methods)

Link to our Canvas - for submitting work and checking grades

Link to the Book - No BS guide to Math and Physics
Link to the Book - Essential Math for Data Science



• Important Course Documents
  
  Course Syllabus
  
  Schedule of Topics - Updated 2/11
  NOTE: as the semester progresses we may change up the schedule a bit to suit our class pace and interests. The most recent schedule will be posted here.
  
  
  
• Daily Assignments - Reading - Handouts
  
  Each day I will post the lecture videos, homework, additional reading, and other information. Make sure to check here for each day of class.
  • Day 1 - Wednesday - 1/8 - Click Here
    
    PRE-CLASS:

    None

    CLASS TIME:

    Talk about syllabus and class expectations
    Math self assessment and warm-up
    Lecture Notes
    
    
    In this class we will use Python to do hard calculations, graph functions, and analyze data. You can decide if you want to use Anaconda Python (Jupyter Lab) on your own computer or use Google Colab (cloud computer).
    
    Code for Lecture Notes
    

    AFTER CLASS:

    Start Prepping for Day 2
    Take the survey - posted on canvas - part of the Day2 Class Preparation Assignment

    
    
  • Day 2 - Friday - 1/10 - Click Here
    
    PRE-CLASS:

    Choose one:
    1. Install Anaconda Python (Jupyter Lab) on your own computer.
    2. Use a google account to get access to Google Colab (cloud computer).
    
    Please come to class with a laptop running one of these two options.
    
    Don't forget to do the Day2 Class Preparation Assignment before class!

    CLASS TIME:

    Introduction to Python basics.
    Math Fundamentals
    Python-Math Examples Notebook.
    Lecture Notes.
    
    Practice deeply thinking about mathematical ideas! Today you will choose an area of math to review/deeply think about. You will bring a "Mathematical Deep Thinking" example to next class to share.
    
    

    AFTER CLASS:

    Start Prepping for Day 3

    
    
  • Day 3 - Monday - 1/13 - Click Here
    
    PRE-CLASS:

    Finish the Python-Math Examples from our Python Notebook in last class.
    Prepare your "Mathematical Deep Thinking" mini-presentation.
    Don't forget to do the Day3 Class Preparation Assignment before class!

    CLASS TIME:

    Math Fundamentals Review "Mathematical Deep Thinking" mini-presentation
    Translating math Fundamentals into Python
    Python-More Math Examples Notebook.
    Lecture Notes.
    
    

    AFTER CLASS:

    Start Prepping for Day 4
    Start working on Homework 1 (due 1/17) - available on Canvas.

    
    
  • Day 4 - Wednesday - 1/15
    
    PRE-CLASS:

    Finish the Python-More Math Examples from our Python Notebook in last class.
    Don't forget to do the Day4 Class Preparation Assignment before class!
    
    Reading: Essential Math for Data Science -- pages 2-6. Make sure you are taking some notes, especially where things seem confusing. In class we will talk about how these ideas translate to python.

    CLASS TIME:

    Number Theory and Order of Operations
    Python Variable Types
    Day4 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    Solutions to Math Fundamentals Days 1-3
    
    
    

    AFTER CLASS:

    Start Prepping for Day 5 Start working on Homework 1 (due 1/17) - available on Canvas.

    
    
  • Day 5 - Friday - 1/17
    
    PRE-CLASS:

    Get as far as you can on Homework 1 (due 1/17) - available on Canvas. Come to class with questions! Don't forget to do the Day5 Class Preparation Assignment before class!
    
    

    CLASS TIME:

    Defining Variables and Functions
    Empirical Modeling
    Linear Regression
    Day5 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    
    

    AFTER CLASS:

    Start Prepping for Day 6
    Don't forget to submit Homework 1 on Canvas by 11:59pm
    

    
    
  • No Class - 1/20/25 - Martin Luther King Jr. Holiday
  • Day 6 - Wednesday - 1/22
    
    PRE-CLASS:

    Finish the Linear Regression Homework assigned last class - hand it in on Canvas Day6
    
    

    CLASS TIME:

    
    Polynomial Functions, Rationals, Square Roots
    Curvilinear Models
    Day6 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    
    

    AFTER CLASS:

    Start Prepping for Day 7
    

    
    
  • Day 7 - Friday - 1/24
    
    PRE-CLASS:

    Start Homework 2 - do the parts that contain Linear and Polynomial Regression - hand it in on Canvas Day7
    
    

    CLASS TIME:

    
    Finish the Non-Linear Regression Discussion
    Day7 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    
    

    AFTER CLASS:

    Look at Review Materials
    Start Prepping for Day 8
    

    
    
  • Week of 1/27-1/31 No Class - Review Materials
    
    This week is your chance to get caught up on the content of the class. Here are some things you should be able to do:

    - All of the foundational algebra we reviewed.
    - Using sympy to check your algebra answers.
    - Knowing basic function families and what they look like.
    - Plotting a basic function in Python (given code outline).
    - Doing a linear or polynomial regression (given code outline).
    - Choose the order of polynomial to use in a regression (ocams razor).
    - Based on graphs and metrics (R^2 or MSE) talk about how well a regression worked.
    - Given some data say what types of functions might fit that data.
    - Know how to transform a function.
    

    
    To review algebra - go back to the book chapter that was attached to Homework 1 and practice those problems. The answers are at the end!
    To review other ideas - go back through the YOU TRY problems in the lectures.
    
    REVIEW VIDEOS
    Exponents.
    Logarithms.
    Let me know what other review you would like!
    
  • Day 8 - Monday - 2/3
    
    PRE-CLASS:

    Finish the Dehli Climate Data Regression - hand it in on Canvas Day8
    
    

    CLASS TIME:

    
    Exponential and Logarithmic Functions
    Regression with Exp and Log
    Day8 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    
    

    AFTER CLASS:

    Exam 1 on Friday
    Start Prepping for Day 9
    

    
    
  • Wednesday - 2/5 - Sick Day - boo!
  • Day 9 - Friday - 2/7
    
    PRE-CLASS:

    Finish the Covid analysis (logistic curve fit) for a new country - hand it in on Canvas on Monday 2/10

    CLASS TIME:

    Exam Review!
    Practice Exam Student Notebook.
    Practice Exam Lecture Notes.
    
    Practice Exam - Rough Solutions.

    AFTER CLASS:

    Exam 1 on Monday
    Study for the Exam!
    

    
    
  • Exam 1 - Monday - 2/10
    
    PRE-CLASS:

    Study for the exam.
    

    CLASS TIME:

    
    Exam 1

    AFTER CLASS:

    None - Take a break!
    

    
    
  • Wednesday - 2/12
    
    PRE-CLASS:

    No pre-class work
    

    CLASS TIME:

    
    Today we start our discussion of Calculus topics
    Limits
    Day10 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Finish the YouTry problems from lecture.
    

    
    
  • Friday - 2/14
    
    PRE-CLASS:

    Submit your notebook with the completed You Try problems.
    

    CLASS TIME:

    
    Derivatives
    Day11 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Finish the You Try problems from lecture. Make sure you work to learn what the derivative can tell us: Increasing, Decreasing, Tangent Line, Rate of Change, Slope...
    

    
    
  • Wednesday - 2/19
    
    PRE-CLASS:

    Submit your notebook with the completed You Try problems from last class.
    

    CLASS TIME:

    
    Derivatives and Applications
    Day12 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems from in class
    Start working on Homework 4
    Optional - do Homework 3 - to earn extra credit back on Exam1
    

    
    
  • Friday - 2/21
    
    PRE-CLASS:

    Submit your notebook with the completed You Try problems from last class.
    

    CLASS TIME:

    
    Derivatives and Optimization
    Day13 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Finish and submit Homework 4
    Keep working on the You Try problems for next class.
    

    
    
  • Monday - 2/24
    
    PRE-CLASS:

    Submit your notebook with the completed You Try problems from last class.
    

    CLASS TIME:

    
    Partial Derivatives
    Day14 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    Exam 2 on Friday - Review Derivatives and Polynomial Regression
    

    
    
  • Wednesday- 2/26
    
    PRE-CLASS:

    Submit your notebook with the completed You Try problems from last class.
    

    CLASS TIME:

    
    Finish up partial derivative
    Review for Exam 2 - which will be more like a quiz! Exam Review Student Notebook.
    
    Exam Review Solutions.
    Solutions to You Try problems about Limits, Derivatives, and Optimization.
    
    

    AFTER CLASS:

    Study for Exam 2
    

    
    
  • Exam 2 - Friday - 2/28
    
    PRE-CLASS:

    Study for the exam.
    

    CLASS TIME:

    
    Exam 2

    AFTER CLASS:

    None - Take a break!
    

    
    
  • Spring Break - 3/3-3/7
  • Monday - 3/10
    
    PRE-CLASS:

    Welcome back from break!
    

    CLASS TIME:

    
    Integrals
    Day16 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    

    
    
  • Wednesday - 3/12
    
    PRE-CLASS:

    Submit the You Try problems
    

    CLASS TIME:

    
    Probability
    Day17 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    

    
    
  • Monday - 3/17
    
    PRE-CLASS:

    Submit the You Try problems
    

    CLASS TIME:

    
    Conditional Probability
    Day18 Lecture Video - Conditional Probabilities.
    
    Day18 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    No new weekly homework this week - use this time to redo exam problems!
    

    
    
  • Wednesday - 3/19
    
    PRE-CLASS:

    Submit the You Try problems from last class
    

    CLASS TIME:

    
    Probability Distributions
    Day19 Lecture Video - Probability Distributions - Binomial Distribution - Pop Quiz.
    Day19 Lecture Video - Example of Binomial Distribution - You Try.
    Day19 Lecture Video - Probability Distributions - beta Distribution - You Try.
    
    Day19 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    No new weekly homework this week - use this time to redo exam problems!
    

    
    
  • Friday - 3/21
    
    PRE-CLASS:

    Submit the You Try problems from last class
    

    CLASS TIME:

    
    In Class Practice - Lab Probability
    Day20 Student Notebook.
    
    

    AFTER CLASS:

    Submit the Student Notebook for next class
    No new weekly homework this week - use this time to redo exam problems!
    

    
    
  • Monday - 3/24
    
    PRE-CLASS:

    Submit the Lab Solutions from last class
    

    CLASS TIME:

    
    Day20 - Solutionsk.
    
    Normal Distribution
    Day21 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    
    

    
    
  • Wednesday - 3/26
    
    PRE-CLASS:

    Submit the You Try problems from last class
    

    CLASS TIME:

    
    Normal Distribution
    Day22 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    
    

    
    
  • Friday - 3/28
    
    PRE-CLASS:

    Submit the You Try problems that finish up the Student Notebook from the Normal Distribution, and the problems we worked on in class for the Hypothesis Testing Day.
    

    CLASS TIME:

    
    Finish Up Hypothesis Testing
    Exam Review
    Day23 Student Notebook - Exam Review.
    
    Exam Review Solutions.
    
    

    AFTER CLASS:

    Hand in the Exam Review Notebook as Homework 5 - hand this in before the exam.
    
    

    
    
  • Monday - 3/31 - Exam 3
    
    PRE-CLASS:

    Study for the exam
    

    CLASS TIME:

    
    Exam 3

    AFTER CLASS:

    Take a break!
    
    

    
    
  • Wednesday - 4/2
    
    PRE-CLASS:

    Nothing to submit - make sure you handed in Homework 5
    

    CLASS TIME:

    
    Intro to Linear Algebra - Vectors - KNN
    Day24 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    Keep working on the You Try problems for next class
    
    

    
    
  • Friday - 4/4
    
    PRE-CLASS:

    Submit the You Try problems from last lecture
    

    CLASS TIME:

    
    More Linear Algebra
    Day25 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    
    Do all of the you try problems and submit them for next class.
    

    
    
  • Monday - 4/7
    
    PRE-CLASS:

    Submit the You Try problems from last lecture
    

    CLASS TIME:

    
    Determinants and Eigenvalues/vectors
    Day26 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    
    Do all of the you try problems and submit them for next class.
    

    
    
  • Wednesday - 4/9
    
    PRE-CLASS:

    Submit the You Try problems from last lecture
    

    CLASS TIME:

    
    Determinants and Eigenvalues/vectors
    Day27 Student Notebook.
    
    Lecture Slides.
    Lecture Notes.
    
    

    AFTER CLASS:

    
    Do all of the you try problems and submit them for next class.
    

    
    
  • Friday - 4/11
    
    PRE-CLASS:

    Submit the You Try problems from last lecture
    

    CLASS TIME:

    
    Exam Review
    Day28 Student Notebook - Exam Review.
    
    Exam Review Solutions.
    
    

    AFTER CLASS:

    
    Study for the exam!
    Hand in the Exam Review Notebook as Homework 6 - hand this in before the exam.
    
    

    
    
  • Monday - 4/14 - Exam 4
    
    PRE-CLASS:

    Study for the exam
    

    CLASS TIME:

    
    Exam 4

    AFTER CLASS:

    Take a break!
    
    

    
    
• Homework Solutions - Exam Review
  
  
  All Practice Problems and Programming Assignment solutions are available on Canvas
  
  
  
  
  
  
  
  

  I catch all the buggies in my code!