Видео

Sampling Distributions for Means (The Central Limit Theorem)

Sampling Error

What are Infinite Sequences and Infinite Series? An Example Connecting to Functions and Integrals

In this video, we look at a data set of Marvel and DC movies, and compare summary statistics for runtime and IMDB ratings, splitting up by groups like Universe (Marvel or DC) and MPA Rating (PG, PG-13, or R).

In this lab, we'll investigate graphical and numerical approximations of some limits many of which are either difficult to evaluate by hand, or use methods beyond what we know now. Access the lab here: colab.research.google.com/drive/1SPJp5_wJWlEi_fvCc0_4bShQZcLyiBS3?usp=sharing

In this video, we look at the Chicago Beach Swim Advisory data set and: - do some basic data cleaning - build some frequency distributions in table form - plot histograms, bar charts, and a couple more basic plots

In this lab, we'll investigate intervals of convergence for Taylor series, compare integration approximation strategies, and build some very fun graphs of parametric and polar curves. Access the lab here: colab.research.google.com/drive/1qxr2cKMubDp4FDZCI_vd2kj4UT8DjA8e?usp=sharing

1/2 1/4 1/8 1/16 ... = 1 I animated a classic visual proof for the sum of reciprocal powers of 2. This video walks through my very meandering process of building and recording in GeoGebra. Watch live at www.twitch.tv/professorpeter

In this lab, we'll work on approximating indefinite integrals (with a guest appearance by the Gamma function!), investigating convergence of sequences, and play with some infinite series. Access the lab here: colab.research.google.com/drive/1JOg42fUlV_mgRemJx297UTXeFvPSaIx_?usp=sharing

In this lab we'll work on approximating different integrals that represent areas between curves, volumes of solids of revolution, and surface area of solids of revolution. Access the lab here: colab.research.google.com/drive/1SywHss9Z713eNBvaYD-nL1qJbdrXpMTU?usp=sharing

This should get you going on your introduction to how we're going to use python labs in this course! Access the lab here: colab.research.google.com/drive/1ELFBC1kBiEwMlfEAppNgFLdq9FIwtvVi?usp=sharing

Calculus in Polar Coordinates

Introduction to Polar Coordinates

Calculus with Parametric Equations

Examples of Parametric Curves

Introduction to Parametric Equations

u-Substitution: Turn Around Problems

u-Substitution Examples

Integration by Substitution

Verifying Trigonometric Identities

More Graphs of Trigonometric Functions

Derivatives of Inverse Functions in General

Derivatives of Inverse Trigonometric Functions

Logarithmic Differentiation

Derivatives of Exponentials and Logarithms

Related Rates

Using Implicit Differentiation

Implicit Differentiation

Product, Quotient, Chain Rule Examples