Dynamic Math for Economists
I'm using this page for a course at Quinnipiac on DSGE Modelling for advanced undergrads and to explore and build a course on economic dynamics
Spring 2020 QU Independent Study in
DSGE Modelling of CEE Economies
Outline for the Math of the Course
First Part of the Course

Introduction to Difference Equations: Basics

Introduction to Differential Equations: Basics

Introduction to Time Series: Basics

Introduction to Time Series: The Expectations Operator

Introduction to Time Series: Calculating Impulse Response Functions

Introduction to Time Series: AR to MA processes
Second Part of the Course

Optimization: Review of Static Lagrangians

Optimization: TwoPeriod Lagrangians

Optimization: TwoPeriod Insights into Infinite Horizons and Bellman

Optimization: Infinite Horizon Lagrangians in Discrete Time

Optimization: Infinite Horizon Hamiltonians in Continuous Time

Solving Models: Phase Diagrams in Continuous Time

Solving Models: Linearizing around Steady State

Solving Models: Systems of Difference Equations

Solving Models: Systems of Differential Equations
Matrix Algebra

Basic Matrix Terms and Definitions ... PDF

Basic Algebra Operations
Economic Modelling Topics

Budget Constraints Part One: How To Think About and Model Them ... PDF

Budget Constraints Part Two
GraduateLevel Introduction to DSGE and Dynare
Eric Sims at Norte Dame has some of the best material to get into DSGE and to do it via Dynare.
Eric Sims Graduate Macro II class (2017)

Introductory Notes:
Preliminaries (Impluse Response Fns): pdf
Two period consumptionsaving: pdf
Value function iteration: pdf

Using Dynare: pdf

More Advanced Material:
Review of neoclassical growth: pdf
Loglinearization: pdf
Solving linearized models: pdf
Ronald Shone had two great textbooks on Economic Dynamics and Math. I think his approach was right: teach first how to solve the basic systems in excel and other programming languages, and then cover the math. I'm trying to build on his insight.
Introduction to Economic Dynamics (a "nonmath" treatment where everything is solved in Excel)
Economic Dynamics (a more "applied" math coverage of the material needed for dynamic analysis in Economics with examples in excel and Maple)
Stochastic Calculus and Asset Pricing Videos
*This material comes from John Cochrane who is a leading academic in the field of macroeconomics and finance. I haven't watched all the videos yet, but they seem pretty good. He's a talented teacher. Note: You need to know a decent amount of math already in order to follow his lectures.

John Cochrane's page for Asset Pricing