Math 76O-25O
Calculus
(
Prof M
c
Farland
Website)
Document Index
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Course Syllabus
Introduction and Grade Policies
Future Grade Predictor
Course Handouts (roughly in order)
Solving systems of equations
Slopes of lines
An interactive page
Functional Notation; composite functions
The Limit Method
(Graphical Description)
:
An interactive page
The Limit Method
(an example)
The POWER RULE for derivatives (exercizes)
Summary of Rules for Derivatives
Which rule for derivatives is best?
:
An interactive self-test
Rules for exponents and logarithms
An algebra review
Solving exponential equations
;
exponential growth
An algebra review
How to Optimize functions
:
An interactive page
Critical Values, Extrema, and Inflection points
An interactive self-test
Isolated Differentials
A warning not to use them
The POWER RULE for anti-derivatives (exercizes)
Integration by Substitution (Anti-Chain Rule)
Finding u
:
An interactive self-test
Integration by Parts (Anti-Product Rule)
Finding u and v'
:
An interactive self-test
Summary of Rules for Derivatives/Anti-derivatives
Improper Integrals
An interactive page
Differential Equations
:
How to solve them
With interactive self-test
Taylor series
;
Taylor polynomials
Albert's Pattern
An interactive game
of pattern recognition (Chp 8)
Darwin's Patterns
(
What makes you so good?)
Calculus YouTube video
Story Problems
Choose a problem
General strategies
Maximizing revenue without calculus
Maximizing revenue with calculus
A box problem
Minimizing cost of a box
Minimizing Area
Lifetime of a gas field using Integrals
Game (Albert's Pattern)
Graph a function of two variables
:
f(x,y)
Sample tests
Choose a test
Your Future Grade Goals
Sample test 1 (quiz)
Sample test 2 (hour exam)
Sample test 3 (quiz)
Sample test 4 (hour exam)
Sample test 5 (quiz)
Sample test 6 (hour exam)
How will web quizzes affect grade?
Web quiz 1 (due Sun 17 Sept 2017)
Web quiz 2 (due Sun 1 Oct 2017)
Web quiz 3 (due Sun 15 Oct 2017)
Web quiz 4 (due Sun 29 Oct 2017)
Web quiz 5 (due Sun 12 Nov 2017)
Web quiz 6 (due Sun 10 Dec 2017)
Fall 2017 Final Exam (a short test)
Simon Sinek speaks on seeking joy and a sense of fulfillment in your workplace
Music
Choose a song
Follow me (Uncle Cracker) (copyrighted song on flash drive)
Higher (Creed) (copyrighted song on flash drive)
Blue (Eiffel65) (YouTube)
I believe (Savage Garden) (copyrighted song on flash drive)
The Humming (Enya YouTube)
Only Time (Enya YouTube)
Dream - soft jazz (Korean language YouTube)
You'll never walk alone - Susan Boyle (YouTube)
Pachelbel canon (Funtwo rock version YouTube)
Pachelbel canon (classical guitar YouTube)
Pachelbel canon (classical per-olav guitar YouTube)
Pachelbel canon (jazz guitar YouTube)
6 Elizabethan songs (guitar by Taso Comanescu YouTube)
Joaquin Rodrigo - concerto for guitar (YouTube)
Moonlight Sonata (YouTube)
Peggy Sue (Buddy Holly 1957 YouTube)
Stand and Deliver (Adam+Ants YouTube)
Imagine (John Lennon YouTube)
Let it be (Beatles YouTube)
You're Beautiful (James Blunt YouTube)
Photograph (Ed Sheeran YouTube)
Someone like you (Adele YouTube)
Lonesome Fugitive - Sing me back home (Merle Haggard YouTube)
Cowboys and Angels (Dustin Lynch YouTube)
Whiter Shade of Pale (Procul Harem YouTube)
Conquest of Paradise (Vanfelis - movie YouTube)
My Heart will go on (Titanic - movie YouTube)
Learning to Fly (Pink Floyd YouTube)
Good Vibrations (Beach Boys YouTube)
Breakfast at Tiffany's (Deep Blue Something - YouTube)
She's so high (Tal Bachman - YouTube)
Whereever you will go (The Calling - YouTube)
Bach air (YouTube)
Lookin' out my back door (Creedence YouTube)
Someday Never Comes (Creedence YouTube)
Down on the Corner (Creedence YouTube)
Have you ever seen the rain (Creedence YouTube)
Meet Virginia (Train YouTube)
Drops of Jupiter (Train YouTube)
When I was a Boy (ELO YouTube)
Confusiuon (ELO YouTube)
Best of Times (Styx YouTube)
Eyes of the World (Grateful Dead YouTube)
Everything I do (Bryan Adams - YouTube)
The Times they are a-changin (Dylan YouTube)
St. Patrick's Day in Dublin pub (YouTube)
Requiem for Winter (YouTube)
O Danny Boy ( YouTube)
The Last Rose of Summer (Streich YouTube)
Bach fugue (Glenn Gould YouTube)
Bach air (guitar YouTube incomplete)
Eine Kleine Nachtmusik - Mozart (0:35-6:37 Viena Philharmonic YouTube)
Allow me to weep - Jaroussky (Handel aria YouTube)
Unchained Melody - Ghost - Righteous brothers (YouTube)
Stay Fredric Stay (Linda Ronstadt, Gilbert & Sullivan YouTube)
Spring River Flower Moon Night (classical Chinese YouTube)
Wimoweh (1939 in Zulu, YouTube)
Calculus video
