Motivated Analysis Home Page

This is a place for me to link the PDFs and videos I’m creating for my Motivated Analysis YouTube series.

Intro video: https://youtu.be/pLpAYNn2IiQ

Handout 1: Hitting Springs with Hammers.

Handout 1 Solutions    Read at your own risk—it’s best to work through the handout yourself as much as possible. The solutions are intentionally a bit terse, since you can always watch the videos if you need a full explanation.

Video 2 (starts Handout 1): https://youtu.be/IkrCs9RmmCQ

Video 3 (continues Handout 1): https://www.youtube.com/watch?v=detpzN0nUVo

Video 4 (continues Handout 1): https://www.youtube.com/watch?v=Kkrm4J2oSn8

Video 5 (finishes Handout 1): https://www.youtube.com/watch?v=nWS7BdbSUeE

Handout 2: Introduction to Convolutions.

Handout 2 Solutions.

Video 6 (starts Handout 2)

Video 7 (continues Handout 2)

Video 8 (continues Handout 2)

Video 9 (finishes Handout 2)

Handout 3: Introduction to Distributions, Part 1

Handout 3 Solutions

Video 10 (starts Handout 3–pure lecture, not working through problems yet)

Video 11 (starts working through the problems in Handout 3)

Video 12 (mainly 1(d)(iii) on Handout 3)

Video 13 (finishes Handout 3)

Handout 4: Operations with Distributions

Handout 4 Solutions

Video 14 (Starts Handout 4)

Video 15 (Continues Handout 4, introducing derivatives of distributions)

Video 16 (finishes Handout 4)

Handout 5: Initial Conditions as Special Forcing Functions (updated slightly 8/24/15)

Handout 5 Solutions

Video 17 (starts Handout 5, dealing with initial velocity–Problems 1-3)

Video 18 (continues Handout 5, dealing with initial position–Problems 4-7)

Video 19 (continues Handout 5, more about delta prime–Problem 8)

Video 20 (continues Handout 5, yet more about delta prime–Problems 9,10)

Video 21 (finishes Handout 5–Problem 11)

Handout 6: RLC Circuits

Handout 6 Solutions

Video 22 (starts Handout 6–Problems 1,2)

Video 23 (Handout 6, Problems 3,4,5)

Handout 7 (More about Test Functions)

Handout 7 Solutions

Video 24 (Handout 6 Problem 6, and Handout 7 Problem 1)

Video 25 (Handout 7, starts Problem 2)

Video 26 (Handout 7, Problem 2 (end) and 3)

Video 27 (Handout 7, Problem 4a)

Handout 8: Distributions, Convolutions, and the Proof of Duhamel’s Principle (revised 10/14)

Handout 8 Solutions (revised 10/14)

Video 28 (Finishes Handout 7, starts Handout 8 [through Problem 2])

Video 29 (Handout 8, through Problem 6)

Video 30 (Handout 8, through Problem 10, the proof of Duhamel’s Principle)

Video 31 (Handout 8, Problem 11)

Video 32 (Finishes Handout 8)

Handout 9: The Precise Definition of a Distribution

Video 33 (Starts Handout 9)

Video 34 (Continues Handout 9)

Video 35 (Continues Handout 9: Problem 3(c)(i))

Video 36 (Handout 9, Problem 3(c)(ii,iii))

Video 37 (Handout 9, finishes 3(c))

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