BIOE 205

Lecture notes

This page links to lectures notes that will be posted once per week and are supposed to supplement the textbook and lecture slides used in class.

Each of these notes will correspond roughly to two (maximum three) in-class lectures.

❗ Server offline
The server that runs the demos in the lecture pages have been shutdown at the end of the semester. Any demos are likely not functional.

Lecture 01

Lecture 01

Introduction
Introductory material on signals & systems

Lecture 02

Lecture 02

System topics
Noise, variability, types of signals & systems

Lecture 03

Lecture 03

Basic waveforms
Modeling & simple operations on signals

Lecture 04

Lecture 04

Statistics
Basics of signal statistics

Lecture 05

Lecture 05

Correlations
Orthogonality & averaging

Lecture 06

Lecture 06

Vector spaces
Intuition regarding change of basis

Lecture 07

Lecture 07

Fourier transform I
Introduction to Fourier Transform

Lecture 08

Lecture 08

Fourier transform II
Other forms of Fourier Transform

Lecture 09

Lecture 09

DFT/Sampling
Sampling theorem & consequences on DFT

Lecture 10

Lecture 10

Impulse response
Introduction to linear systems analysis

Lecture 11

Lecture 11

System response
Frequency response & transfer functions

Lecture 12

Lecture 12

Bode plots
Bode plot examples & MATLAB

Lecture 13

Lecture 13

Laplace transform
Laplace transforms, ODEs and IVPs

Lecture 14

Lecture 14

Second order systems & Simulink
Second order systems, Simulink

Lecture 15

Lecture 15

Electrical & mechanical systems
Electrical, mechanical systems & analogues

⚠️ Note
These notes are by no means perfect; they are being written up for the first time and a work-in-progress. There might be a plethora of typos or unintentional mistakes peppered through them. Please point them out or bring them up.
❗ Caution
These notes are intentionally not mathematically rigorous due to various reasons (breadth of topics to cover, curriculum plan, etc.). The more mathematically inclined student can find far more meticulous & precise treatment of the subject matter elsewhere.
CC BY-SA 4.0 Ivan Abraham. Last modified: April 24, 2023. Website built with Franklin.jl and the Julia programming language. Curious? See familiar examples.