W 9/24 Day 1

Welcome

Establish Classroom Norms

Welcome to PH 335!

APS Teamwork Guidelines

Key Request Form
Gradescope Guides for Students

Photo Release Form

Consent to Participate in Research

Research Consent Form

Th 9/25 Day 2 MathBits

Power Series

Adding Functions Pointwise
Using Technology to Explore Power Series Approximations
Guess the Power Series
Derivation of Power Series Coefficients Calculating Coefficients for a Power Series

Video: Intro to Power Series
GMM: Definition of Power Series
GMM: Guessing Power Series from Graphs
GMM: Common Power Series
GMM: Calculating Power Series Coefficients
GMM: Discussion of Approximations using Power Series
GMM: Dimensions in Power Series

F 9/26 Day 3 MathBits

More Power Series

Visualization of Power Series Approximations

GMM: Theorems about Power Series

GMM: Convergence of Power Series

Hyperbola Trig Functions

M 9/29 Day 4 MathBits

Polar Coordinates Review

GMM: Polar Coordinates

Circle Trig

Dray Ch.3,

GMM: Polar and Rectangular Coordinates
GMM: Visualizing Circle Trigonometry
Webpage: Review Trig Functions
Simulation: Trig Tour PhET

Cylindrical & Spherical Coordinates

GMM: Curvilinear Coordinates
GMM: Change of Coordinates
GEM 1.4

Generalized Coordinates & Degrees of Freedom

Taylor 7.3

T 9/30 Day 5 MathBits

Partial Derivatives

GMM: Review of Single Variable Differentiation
GMM: Leibniz vs. Newton

Zapping with "d"

GMM: Differentials
GMM: Rules for Differentials
GMM: Properties of Differentials
GMM: Substitution
GMM: Differentials: Summary

First-Order ODEs: Forms & Theorems

GMM: First-Order ODEs: Forms and Theorems

Separable ODE's

GMM: Separable ODEs

W 10/1 Day 6 MathBits

Vectors

Representations of Vectors

GMM: Vectors
GMM: Bases
GMM: Unit Vectors

Matrix Elements as Dot Products

Generalization of the Dot Product to an Inner Product of Finite Vectors Finding Matrix Elements

GMM: Matrix Addition
GMM: Scalar Multiplication
GMM: Matrix Multiplication
GMM: Transpose
GMM: Hermitian Adjoint

Components of Vectors in Multiple Coordinate Systems

Describing a Vector with 2 Different Coordinate Systems

Dot Product

Dot Product Review

GMM: The Dot Product
GMM: Visualizing the Dot Product

Th 10/2 Day 7 MathBits

Calculating the Distance Between Two Points

The Distance Formula (Star Trek)

GMM: The Distance Formula
GEM 1.1.2, 1.1.4

Vectors in Different Coordinate Systems

GMM: Polar Basis Vectors
GMM: Orthonormality of Basis Vectors

F 10/3 Day 8 MathBits

The Spacetime Interval

W 10/8 Day 11

Length Contraction

Length Contraction Derivation

Day 2.3, Taylor 15.5,

YouTube Video: Relativity Animation

HW 3 (w/ Solution)
HW 3 (pdf)

F 10/31 Day 28

Course Review

HW 10 (w/ Solution)
HW 10 (pdf)

Topic/Day

Activities

Resources

Homework Due