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Calculus • Series

Differential Equations Study Group

Etienne P

Series Details

Sessions

Public Discussion

This series ended on November 7, 2021. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

We'll discuss differential equations: solutions, analysis, categorization, etc. Designed to be a companion to a differential equations class or for people interested in getting ahead in their mathematics education. We'll cover topics typically covered for solving and analyzing basic differential equations: separation of variables, integrating factors, solving higher order linear equations, techniques for estimation, etc. Pre-requisites include a basic understanding of what derivatives and integrals are and a basic understanding of what a differential equation is. Sessions will be added surreptitiously as the course develops and interests are specified.

✋ ATTENDANCE POLICY

Missing sessions is fine but you might get behind on the material, so message me if you feel like you'll be too far behind and need extra help.

Dates

August 29 - November 7

Learners

13 / 20

Total Sessions

9

About the Tutor

Hi, I'm a college sophomore at NC State University studying to become a mathematician. I have a great love for mathematics and an appreciation for its beauty and artistry, and my goal is to spread those same feelings to the students I work with! I love teaching kids of all ages about the joys of math, and it's great to see them be able to succeed with my help!

View Etienne P's Profile

Upcoming Sessions

0

Past Sessions

9
29
Aug

Session 1

Differential equations

Solving basic differential equations, direction/slope fields, verifying solutions.
5
Sep

Session 2

Differential equations

Solving linear differential equations, broader topics.
12
Sep

Session 3

Review

Go over other methods of obtaining the formula for solving linear differential equations and review practice problems on Khan Academy.
26
Sep

Session 4

Differential equations

In this session, we'll go over exact equations. Specifically, we'll cover how we can relate level curves of multivariable functions to ordinary differential equations in exact form, as well as what exact form is and how we can write differential equations exactly.
3
Oct

Session 5

Differential equations

We will begin discussing theory behind higher-order differential equations, specifically focusing on homogeneous second-order linear differential equations with constant coefficients.
10
Oct

Session 6

Differential equations

We will cover the basics of matrices and linear systems of equations, and how to utilize this representation to solve systems linear differential equations.
17
Oct

Session 7

Differential equations

In this session, we'll apply what we learned about Eigenvectors and Eigenvalues in order to solve 2x2 (or any NxN) systems of differential equations.
31
Oct

Session 8

Differential equations

We will discuss the application of matrix exponentials to solve a homogenous system of differential equations.
7
Nov

Session 9

Differential equations

We'll use what we learned in the last class about matrix exponentials and practice solving systems of linear, homogenous differential equations by computing the relevant matrix exponent.

Public Discussion

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