Day 3: Differential equations, intro to linear algebra

Differential equations, using them, integration concepts & basics

NOTE: Wednesday 10:00am late start!

Day 3 Part 1:

Morning lecture:

Lecture 3A Slides - PDF

• Intro to differential equations
• Differential equations in environmental data science
• Numerical solutions

Morning interactive session

Interactive Session 3A handout

• Numerical solutions to differential equations
• Approximating solutions to the Lotke-Volterra equations in R

Day 3 Part 2: Basic linear algebra for data science

Lecture 3B Slides - PDF

• Language & shapes in linear algebra
• Basic operations
• How this translates to data structures & working with them

Afternoon interactive session

Interactive Session 3B handout

• Scalars, vectors, matrices, oh my!
• Basic inear algebra operations in R & Py
  • Vector & matrix addition and subtraction
  • Scalar multiplication
  • Dot products
  • Matrix multiplication

Day 3 Tasks and Activities

Day 3 Tasks - Handout

See also: https://nwfsc-timeseries.github.io/atsa-labs/sec-basicmat-create.html

Efficiency tips

Inspired by Dr. Julia Lowndes’ Openscapes program.

• Cmd + C (Mac) or Ctrl + C (PC): Copy
• Cmd + X (Mac) or Ctrl + X (PC): Cut
• Cmd + V (Mac) or Ctrl + V (PC): Paste
• Cmd + Z (Mac) or Ctrl + Z: Undo last
• Cmd + Shift + Z (Mac) or Ctrl + Shift + Z (PC): Redo last undo