MATH 121: Mathematical Ideas

MI ‘23: Course Slide Decks

Slide Decks

This holds links to all the slide shows I will use in class. This is (perhaps) the most important page, because it gives you the necessary information for what I will be covering in class — and on what I will be quizzing. To be clear, I expect you to download and read the slide decks before class. I further expect either that you will take notes on the slides on your computer or that you will print out the handouts and take notes directly on them or that you will take notes in your notebook referring to the slides.

In other words, stating “you are going too fast” is likely due to you not being properly prepared.

Module 1: Critical Thinking and Problem Solving
§1.1	Thinking Mathematically: What does it actually mean?
§1.2	Estimating and Evaluating: Close is sometimes enough
§1.3	Problem Solving: Processes and Techniques
Module 2: Set Theory
§2.1	Set Notation: Starting to understand sets
§2.2	Subsets and Venn Diagrams: Seeing sets
§2.3	Operations with Sets: Working with sets
§2.4	Applications: Survey analysis
Module 5: The Mathematics of Growth
§5.1	Linear Equations and Functions: Linking mathematics with the world
§5.2	Linear Modeling: Constant increases
§5.3	Solving Linear Systems of Equations: Intersecting lines
§5.4	Linear Inequalities: Dividing the plane
§5.5	Linear Programming: Optimization
§5.6	Modeling with Quadratics: Modeling gravity
§5.7	Exponential and Logarithmic Functions: Constant percentage increases
Module 10: Probability
§10.1	Introduction to Probability: Starting to understand probability
§10.2	Counting Outcomes: Starting with equi-probable events
§10.3	Probabilities of Single Events: Using these to find probability
§10.4	Rules of Probability: Addition and multiplication
§10.5	Binomial Probability: Flipping many coins
§10.6	Expected Value: The long-run average
Course Summation
MATH 121: How Far We’ve Come