Counting on Justice

Distinguish between algebraic and differential equations

Floating Point Representation and Rounding Error

Evaluating Definite and Indefinite Integrals Algebraically

Determine whether a differential equation is homogeneous

Matrix Decompositions

Check if a function is a solution to a differential equation

Schumann Piano Quintet in E-flat Major, Op. 44, mvmt. I (Live at St. John's)

Matrix Norms

Identify linear equations

Iterative methods for Ax = b

Translate verbal descriptions of change into differential equations, and vice versa

Interpret a first order differential equation as a slope field

Define complex numbers

Determine the order of a differential equation

Perform and interpret arthmetic operations on complex numbers

Distinguish between algebraic and differential equations

Evaluating a polynomial

Functions of Multiple Variables

Explain the difference between a general solution and a particular solution

Derivatives of Basic Functions

Give examples of phenomena modeled by differential equations

Making Scatterplots from Data in R

Applications of Definite Integrals

Determine the independent and dependent variables in a differential equation

Computing Partial Derivatives

Product Rule and Quotient Rule

Gaussian Elimination and Complexity

Composite Functions and the Chain Rule

The Gradient

Introduction to the Definite Integral

Solve linear first order differential equations via integrating factors

Solve separable first order equations

Solve linear, homogeneous equations with constant coefficients

Iterative methods for root finding (part II)

Apply Euler's formula

Compute and explain the significance of radius and interval of convergence

Bartok Ruthenian Kolomejka from 44 duets (live at St. John's)

Solve linear, nonhomogeneous constant coefficient equations via undetermined coefficients

Construct and interpret models of harmonic motion

Explain and use the relationship between position, velocity, and acceleration

Construct a general solution from a fundamental set of solutions

Determine if solutions form a fundamental set

Determine if a point is an ordinary point of a differential equation

Definite Integrals in R

Condition Number

Resume Review + AI = Bad

Betty McCollum Won't Say That Trump Lies

Barbie vs. Oppenheimer: Data Edition

Fundamental Theorem of Calculus

Acquiring Data in R

Iterative methods for root finding (part I)