### 1120 Class Highlights

• Tues May 2
Quiz 12.
evaluations
study guide

• Mon May 1
1. Complete the CoursEval if you haven't already--survey responses are anonymous
2. Setting Up DEs Group Work. Show me your responses.
3. Work on homework for tomorrow or the Test 3 Study Guide. I'm happy to help on anything you are working on.
• Thur Apr 27
Finish 11.4 clickers
Animated Short Story-Differential Equations spot the error
Applications
evaluations

• Tues Apr 25 11.3 and 11.4 Euler's Method and Separation of Variables slides and clickers
evaluations
Animated Short Story-Differential Equations spot the error

• Mon Apr 24
Continue 11.1 and 11.2 Testing Differential Equations and Slope Fields slides and clickers, and worksheet. lattice grid.
Maple worksheet on DEplots
• Thur Apr 20 10.4 Error Bounds slides and clickers. Quiz.
Fourier series and Fourier transform, Fourier Jean-Baptiste Joseph Fourier
Evaluations
11.1 and 11.2 Testing Differential Equations and Slope Fields slides and clickers,
• Thur Apr 13
10.4 Error Bounds slides and clickers

• Tues Apr 11
First page of 10.3 Group Work Target Practice. 10.3 and 10.4 Finding and Using Taylor Series and Error Bounds slides and clickers

• Mon Apr 10
1. e^x Taylor series and Quiz 10
2. Download and work through this Maple worksheet on Taylor Polynomials, (pdf)
• Thur Apr 6 Review Taylor series for e^x and 1/(1-x). 10.2 Taylor Series slides and clickers
Taylor series animation
Begin the first slide of 10.3 and 10.4 Finding and Using Taylor Series and Error Bounds slides and clickers. Discuss the animation using substitution and multiplication.

• Tues Apr 4 10.1 Taylor Polynomials slides and clickers
Taylor series for e^x and 1/(1-x).
1 + x + x^2 +... = 1/(1-x) for |x| < 1 animation of geometric power series
Clicker 2

• Mon Apr 3 quiz 9
• Thur Mar 30 Show ASULearn solutions. 9.5 Power Series slide 1. 9.5 Group Work Target Practice
Remaining slides and then 9.2-9.4 series tests review

• Tues Mar 28 modified learning environment,
Continue 9.4 Series Convergence, series tests,
9.4 Series Group Work Target Practice,

• Mon Mar 27 Test 2
• Thur Mar 23
Continue 9.4 Series Convergence series tests
Discuss the study guide and review for test 2. ASULearn grades.

• Tues Mar 21
geometric series versus p-series slides
applications: 9.3 series partial sums, series divergence when terms not getting smaller, linearity arguments, and the integral test
table of when series tests give convergence or divergence quiz on 9.1-9.3
Begin 9.4 Series Convergence

• Mon Mar 20
pi-day activities
9.3 series partial sums, series divergence when terms not getting smaller, linearity arguments, and the integral test, explore the worksheet
• Thur Mar 9 Take questions. quiz on 9.1 and 9.2.
George Berkeley
9.3 series partial sums, series divergence when terms not getting smaller, linearity arguments, and the integral test
9.1, 9.2, 9.3 summary sheet
Begin working on integral test worksheet.

• Tues Mar 7
9.1 Sequences slides and clicker
9.2 Series, Geometric slides and clicker
Group Work Target Practice

• Mon Mar 6
Quiz on 8.4 density and 8.5 work
9.1 Intro in Maple Open Maple. When you first launch it, there are icons. After choosing the calculus icon, at the bottom of the list open the sequence applet. (If that doesn't work, you can open it from here).
• Thur Mar 2
8.4 Density slides and clickers
8.5 Density slices and clickers
More Group Work Target Practice #2 and #3
Course Map
9.1 Sequences slides and clicker
9.2 Series, Geometric slides and clicker

• Tues Feb 28
Review Area and Volume by Slicing
applications of 8.2
practice sheet
8.4 Density slides and clickers
8.5 Density slices and clickers
Group Work Target Practice #1

• Mon Feb 27 Review and quiz on 8.1 and 8.2. worksheet
• Thur Feb 23
8.1. Slice and Conquer slides and clicker clicker
math jokes, pizza volume
8.2 Volumes (Revolutions) and Arc Length slides and clicker   Maple and demo commands

• Tues Feb 21
8.1. Slice and Conquer slides and clicker
8.1 area practice
8.1 volume practice
cone comic
rocket science
course overview
Group work target practice

• Mon Feb 20 Test 1
• Thur Feb 16
Write up 1) exp(-x^2), 2) xexp(-x^2), 3) xexp(-x), 4) x^2/sqrt(4-x^2), 5) x/sqrt(4-x^2), 6) 3/(4-x), 7) 3/sqrt(4-x), 8) 1/(4-x^2), 9) 1/(1+x^2)
approximate-not elementary, w-subs, parts, trig sub, w-sub, w-sub, w-sub, partial fractions, calc 1 arctan
Begin 8.1. Slice and Conquer slides and clicker
8.1 Area Practice
Review for Test 1
study guide
instructions
Last slide on 7.5 Numerical Approximations and clicker
Sample 7.5 questions
Mention comparison methods. Bigger than a diverging integral or smaller than a converging integral.

• Tues Feb 14
7.5 Numerical Approximations and clicker
partial solutions

• Mon Feb 13
The Science of Successful Learning and Mathematics, you see, is not a spectator sport. [George Polya, How to Solve it]
Quiz on improper integrals
Download, open and work through the Maple Worksheet on 7.5 Numerical Integration     pdf
Hand out the small card allowed on the test next Monday.
• Thur Feb 9
Review methods used in practice problems.
Finish 7.6 Improper Integrals slides and clickers via clicker questions and history.
clicker question
Practicing correctly
7.5 Numerical Approximations and clicker
with(Student[Calculus1]);
ApproximateInt(x^2,x = 0 .. 2, method=left, partition=3, output = plot);
ApproximateInt(x^2,x = 0 .. 2, method=right, partition=3, output = plot);
ApproximateInt(x^2,x = 0 .. 2, method=midpoint, partition=3, output = plot);
ApproximateInt(x^2,x = 0 .. 2, method=trapezoid, partition=3, output = plot);
ApproximateInt(x^2,x = 0 .. 2, method=simpson, partition=3, output = plot);
ApproximateInt(exp(-x),x = 0 .. 2, method=left, partition=3, output = plot);
ApproximateInt(exp(-x),x = 0 .. 2, method=right, partition=3, output = plot);
ApproximateInt(exp(-x),x = 0 .. 2, method=midpoint, partition=3, output = plot);
ApproximateInt(exp(-x),x = 0 .. 2, method=trapezoid, partition=3, output = plot);
ApproximateInt(exp(-x),x = 0 .. 2, method=simpson, partition=3, output = plot);

• Tues Feb 7
7.6 Improper Integrals slides and clickers
lab
Group Work Target Practice

• Mon Feb 6 Quiz instructions, and 7.6 Improper Integrals Introduction
• Thur Feb 2 Review first slide of 7.4 slides and clicker (Integration by Partial Fractions)
primer
Two examples.
Group Work Target Practice

• Tues Jan 31
Finish 7.4 slides and clicker (Integration by Partial Fractions)
Solutions to part 2 Wiley on ASULearn, and to group worksheet on calendar page
pdf of worksheet from lab
Begin 7.4 Integration by Trig Substitution slides and clickers, and two examples.

• Mon Jan 30
The difference between integrating
xexp(-x^2) [w-subs w=-x^2, dw=-2xdx which we have, up to a constant]
xexp(-5x) [w-subs doesn't help with the extra x. parts because it is a product of two different functions]
exp(-x^2) [not elementary, later we'll see numerical and Taylor series]
1. Introduce yourself to a neighbor or two and work in groups on 7.2 Partial Fraction Group Target Practice
• Thur Jan 26 Take questions on the hw. Quiz 2
7.4 slides and clicker (Integration by Partial Fractions)
Visualization via the partial fractions representing local behavior of the function around the asymptotes

• Tues Jan 24 Finish last clicker question
Review lab
7.2 slides and clicker (Integration by Parts)
visualization
Int(x^2*exp(x^3),x); int(x^2*exp(x^3),x);
Int(x*sin(x),x);int(x*sin(x),x);

Changing a) so that it is an integration by parts (double):
Int(x^2*exp(x),x);int(x^2*exp(x),x);
Int(x^10*ln(x),x); int(x^10*ln(x),x);
Int(sin(x^2),x); int(sin(x^2),x);
?FresnelS
and google search for The Fresnel Sine Integral
Group Work Target Practice.

• Mon Jan 23
Review substitution and integration by parts via 7.2 slides and clicker (Integration by Parts) and x^3*ln(x). Introduce DETAIL.

• Thur Jan 19
ASULearn solutions
practicing correctly