Math 251 Fall 2021


Video lectures were to be watched with due dates of Tuesday nights, Thursday nights, and Sunday nights. Each video came with an associated Canvas quiz with 2-4 questions. A typical "lecture day" was two videos of 20-25 minutes each, though I sometimes cut that back for the weekend videos.

On Mondays, Wednesday, and Fridays we held in-class discussion sections focused on worksheets.

WeBWork homework was due Mondays and Wednesdays, at 11:59pm.

Week 1 Sunday Week 1 Monday Week 1 Tuesday Week 1 Wednesday Week 1 Thursday Week 1 Friday
None Preview of calculus [Video] Worksheet PDF Average and Instantaneous Velocity [Video] Worksheet PDF
Slopes and Limits [Video] Introduction to Limits [Video]
WeBWorK #1a WeBWorK #1b
Week 2 Sunday Week 2 Monday Week 2 Tuesday Week 2 Wednesday Week 2 Thursday Week 2 Friday
More on limits [Video] Worksheet PDF Introduction to derivatives [Video] Worksheet PDF
Solutions
The Power Rule [Video] Worksheet PDF
Basics of derivatives [Video] Equations for tangent lines [Video]
WeBWorK #2a WeBWorK #2b
Week 3 Sunday Week 3 Monday Week 3 Tuesday Week 3 Wednesday Week 3 Thursday Week 3 Friday
Derivatives of exponentials [Video] Worksheet PDF Linear approximation formula, part 1 [Video] Worksheet PDF Optimization [Video] Worksheet PDF
Linear approximation, part 2 [Video]
WeBWorK #3a WeBWorK #3b
Week 4 Sunday Week 4 Monday Week 4 Tuesday Week 4 Wednesday Week 4 Thursday Week 4 Friday
Product and quotient rules [Video] Worksheet PDF
Solutions
Higher derivatives [Video] Review for Midterm Midterm 1
WeBWorK #4a WeBWorK #4b
Week 5 Sunday Week 5 Monday Week 5 Tuesday Week 5 Wednesday Week 5 Thursday Week 5 Friday
Derivatives of trig functions [Video] Worksheet PDF
Solutions
Chain Rule, Part 1 [Video] Worksheet PDF
Solutions
Implicit diff., part 1 [Video] Worksheet PDF
Solutions
More optimization examples [Video] Chain Rule, Part 2 [Video] Implicit diff, Part 2 [Video]
Chain Rule, Part 3 [Video]
WeBWorK #5a WeBWorK #5b
Week 6 Sunday Week 6 Monday Week 6 Tuesday Week 6 Wednesday Week 6 Thursday Week 6 Friday
Derivatives of Inverse Functions [Video] Worksheet PDF
Solutions
Optimization example with trig [Video] No worksheet, just homework discussion Related Rates, Part 1 [Video] Worksheet PDF
Solutions
More practice with the chain rule [Video] Related Rates, Part 2 [Video]
WeBWorK #6a WeBWorK #6b
Week 7 Sunday Week 7 Monday Week 7 Tuesday Week 7 Wednesday Week 7 Thursday Week 7 Friday
Rainbows [Video] Worksheet PDF Min/Max Example [Video] Worksheet PDF Shapes of graphs [Video] Worksheet PDF
Minima and Maxima [Video]
WeBWorK #7a WeBWorK #7b
Week 8 Sunday Week 8 Monday Week 8 Tuesday Week 8 Wednesday Week 8 Thursday Week 8 Friday
Limits with infinity [Video] Worksheet PDF Limits with infinity, part 2 [Video] Review for midterm Midterm
Two classical theorems of calculus [Video]
WeBWorK #8a WeBWorK #8b
Week 9 Sunday Week 9 Monday Week 9 Tuesday Week 9 Wednesday Week 9 Thursday Week 9 Friday
L'Hopital's Rule [Video] Worksheet PDF Antiderivatives [Video] No worksheet Holiday Holiday
Antiderivatives, part 2 [Video]
WeBWorK #9a
Week 10 Sunday Week 10 Monday Week 10 Tuesday Week 10 Wednesday Week 10 Thursday Week 10 Friday
Growth of functions [Video] Worksheet PDF
Solutions
Exponential Growth [Video] Worksheet PDF
Solutions
Newton's Method [Video] Review for final
Compound interest and the number e [Video] Quadratic approximations [Video] Differentials [Video]
WeBWorK #10a WeBWorK #10b

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TeX and accompanying graphic files for the worksheets:

Week 1

ma251_wksht1Wed.tex
ma251_wksht1Fri.tex   limit-graph.png

Week 2

ma251_wksht2Mon.tex
ma251_wksht2Wed.tex
ma251_wksht2Fri.tex

Week 3

ma251_wksht3Mon.tex
ma251_wksht3Wed.tex   logistic_graph.png   cubic_graph.png
ma251_wksht3Fri.tex

Week 4

ma251_wksht4Mon.tex     temp_graph.png

Week 5

ma251_wksht5Mon.tex
ma251_wksht5Wed.tex
ma251_wksht5Fri.tex   nodalcurve.png

Week 6

ma251_wksht6Mon.tex   Ferris Wheel.png   Hallway.png
ma251_wksht6Wed.tex
ma251_wksht6Fri.tex

Week 7

ma251_wksht7Mon.tex
ma251_wksht7Wed.tex
ma251_wksht7Fri.tex

Week 8

ma251_wksht8Mon.tex   Question6graph.png

Week 9

ma251_wksht9Mon.tex

Week 10

ma251_wksht10Mon.tex
ma251_wksht10Wed.tex