Quiz 12.

evaluations

study guide

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.

Finish 11.4 clickers

Animated Short Story-Differential Equations spot the error

Applications

evaluations

evaluations

Animated Short Story-Differential Equations spot the error

Continue 11.1 and 11.2 Testing Differential Equations and Slope Fields slides and clickers, and worksheet. lattice grid.

Maple worksheet on DEplots

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,

10.4 Error Bounds slides and clickers

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

1. e^x Taylor series and Quiz 10

2. Download and work through this Maple worksheet on Taylor Polynomials, (pdf)

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.

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

Remaining slides and then 9.2-9.4 series tests review

Continue 9.4 Series Convergence, series tests,

9.4 Series Group Work Target Practice,

Continue 9.4 Series Convergence series tests

Discuss the study guide and review for test 2. ASULearn grades.

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

pi-day activities

9.3 series partial sums, series divergence when terms not getting smaller, linearity arguments, and the integral test, explore the worksheet

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.

9.1 Sequences slides and clicker

9.2 Series, Geometric slides and clicker

Zeno's Paradox

Group Work Target Practice

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).

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

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

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

8.1. Slice and Conquer slides and clicker

8.1 area practice

8.1 volume practice

cone comic

rocket science

course overview

advice from prior students

Group work target practice

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.

7.5 Numerical Approximations and clicker

Group Work Target Practice adapted from Greg Rhoads

partial solutions

The Science of Successful Learning and

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.

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);

7.6 Improper Integrals slides and clickers

lab

Plotting in Maple, pdf version

Group Work Target Practice

primer

Two examples.

Group Work Target Practice

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.

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

2. Download and open this Maple worksheet and follow the directions there. pdf version

7.4 slides and clicker (Integration by Partial Fractions)

Visualization via the partial fractions representing local behavior of the function around the asymptotes

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.

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

Download and open the Intro to Maple worksheet and execute the commands and answer the questions.

ASULearn solutions

practicing correctly

adding the C

7.1 substitution review

Group Work Target Practice

Take questions on the homework. Quiz 1 on w-substitution.

Advice from previous students

7.2 slides and clicker (Integration by Parts)

Algebra, Trig and Derivative Review Review in context. Calculus II chance to turn weaknesses into strengths

7.1 substitution slides and clicker

Go over the class webpages and Wiley Course ID: 548636 flyer

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