Math 181
TTh 1:00-3:05pm
Spring 2020

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The Scavenger Hunt is due Thursday, March 12.

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Info

Syllabus
Calendar
Scavenger Hunt

Office Hours

Location: 61-1608 (Building 61, Room 1608)
Mon 8:30-9:15am, 1:15-1:45pm
Tues 11:45am-12:45pm
Wed 8:30-9:15am
Thurs 11:45am-12:45pm

Homework
(* Note: "EOO" means "Every Other Odd", for example: 1, 5, 9, 13, etc.)

6.1 (p.434) #1-27 odd (for #19, be sure to sketch curves to find intersection points)
6.2 (p.446) #1-17 odd, 19-33 odd (set up only), 47, 49, 51, 55, 58, 59, 61 (set up for #58 is $\int_0^1{4(1-y)dy}$ and the answer is $2$)
6.3 (p.453) #3-19 odd, 21-25 (part a only), 37-43 odd
6.4 (p.458) #1, 5-15 odd, 23, 25
6.5 (p.463) #1-7 odd, 15
7.1 (p.476) #5-17 EOO, 19, 29-33 odd, 57, 61, 65
7.2 (p.484) #1-39 odd, 47, 55, 57, 61, 63
7.3 (p.491) #5-29 odd, 33, 37
7.4 (p.501) #9-29 odd, 39, 41, 45-49 odd (Hint: Substitute $u=e^x$ for #47, and substitute $u=\tan{t}$ for #49)
7.5 (p.507) #1-15 odd, 19, 23, 27, 33, 37, 39, 55, 59, 61, 63, 71
7.7 (p.524) #7, 11, 13, 19 (for part b, use 1 for upper bound for sin/cos), 20 (assume $f''(x)$ is decreasing for part b) (for all of these problems, only use Trapezoidal Rule and Simpson's Rule; don't use Midpoint Rule)
7.8 (p.534) #5-37 EOO, 49-53 odd
8.1 (p.548) #9-17 odd
8.2 (p.555) #1a, 3a, 5a, 7-17 odd
8.3 (p.565) #3-15 odd, 25-33 odd
9.1 (p.590) #1-5 odd, 9, 11
9.3 (p.605) #1-17 odd, 29, 31, 43, 45, 47
10.1 (p.645) #1-21 odd
10.2 (p.655) #1-7 odd, 11-19 odd, 29-33 odd, 37 (set up integral only), 39 (set up integral only), 41, 43, 57 (set up integral only), 59 (set up integral only), 61, 65
10.3 (p.666) #1-11 odd, 15-39 odd, 55-63 odd
10.4 (p.672) #1-11 odd, 17-23 odd, 27-31 odd, 37-41 odd, 45, 47
11.1 (p.704) #3-17 odd, 23-55 odd, 73-81 odd (for #81, only find its limit)
11.2 (p.715) #15-47 odd, 51-55 odd
11.3 (p.725) #3-27 odd, 37, 39
11.4 (p.731) #3-27 odd, 37, 39 (Hint: For #31, use LCT with $\sum{\frac{1}{n}}$)
11.5 (p.736) #3-19 odd, 23-29 odd
11.6 (p.742) #3-39 odd, 43
11.7 (p.746) #1-37 odd
11.8 (p.751) #3-27 odd
11.9 (p.757) #3-19 odd, 25-31 odd
11.10 (p.771) #11-25 odd, 31-41 odd, 51-69 odd
11.11 (p.780) #3-9 odd (don't worry about graphing), 13-19 odd (parts a and b only)

Labs

None yet...

Notes

6.1 6.2 6.3 6.4 6.5
7.1 7.2 7.3 7.4 7.5 7.7 7.8
8.1 8.2 8.3
9.1/9.3
10.1 10.2 10.3 10.4
11.1 11.2 Sequence/Series Practice (with Solutions) 11.3 11.4 11.5 11.6 Series Test Summary 11.8 11.9 11.10 11.11

Presentations

6.1 6.2 6.3 6.4 6.5
7.1 7.2 7.3 7.4 7.5 7.7 7.8
8.1 8.2 8.3
9.1/9.3
10.1 10.2 10.3 10.4
11.1 11.2 11.3 11.4 11.5 11.6 11.8 11.9 11.10 11.11

Practice Solutions

None yet...

Practice Problems (Blank)

6.1 6.2 6.3 6.4
7.2 7.3 7.4 7.5 7.7 7.8
8.2 8.3
9.1/9.3
10.1 10.2 10.3 10.4
11.1 11.2 11.3 11.4 11.5 11.6 11.8 11.9 11.10 11.11

Study Guides

Basic Integral Review

Quizzes/Tests

None yet!

Links

6.1 - Area between curves with Riemann sums
6.2 - Solids of Revolution - Cross-sections and estimations
6.2 - Solids - Square cross-sections
6.2 - Solids - Isosceles right triangle cross-sections
6.3 - Solids of Revolution - Shell method and estimations
6.2/6.3 - An animation to visualize region rotated about axis
6.3 - Quick animation to visualize shell method
6.3 - Another quick animation to visualize shell method
6.3 - Circular cross-sections with approximating cylinders
6.2/6.3 - Awesome 3D grapher!
6.2 - Cross-sections
6.2 - Disks/washers
6.3 - Shells
8.1 - Arc lengths
6.4 - Calculating Work with Non-Constant Force
6.4 - Spring Force
6.4 - Fun with springs
6.4 - Work to Pump Liquid to Top of Conical Tank
7.7 - Simpson's Rule
7.7 - Trapezoidal Rule calculator
7.7 - Simpson's Rule calculator
9.1 - Slope fields (direction fields)
10.1 - Parametric curve grapher
10.3 - Polar Coordinates
10.3 - Polar Graphing - Circle (Sine)
10.3 - Polar Graphing - Circle (Cosine)
10.3 - Polar Graphing - Rose (Sine, 2theta)
10.3 - Polar Graphing - Rose (Cosine)
10.3 - Polar Graphing - Rose (Sine, 3theta)
10.3 - Polar Graphing - Limacon (Sine a>b plus)
10.3 - Polar Graphing - Limacon (Sine a>b minus)
10.3 - Polar Graphing - Limacon (Sine a<b plus)
10.3 - Polar Graphing - Limacon (Sine a<b minus)
10.3 - Polar Graphing - Cardioid (Sine a=b plus)
10.3 - Polar Graphing - Cardioid (Sine a=b minus)
10.3 - Polar grapher
10.3 - Polar graphing: roses
10.4 - Area of a region using a polar coordinate system
10.4 - Animation of finding area of rose
Chapter 11 - Sequences and series (applet)
Power series of sin(x)

Visualization of Mean Value Theorem for Integrals
Another applet for visualizing disks, washers, and shells
Vibrations of a circular drum
Quadric surfaces
Parametrized Curve Grapher
Make a turtle follow a parametrized curve

Other Links

Mt. SAC Math and Computer Science Department website
TMARC (Transfer Math Activities Resource Center) - free math tutoring for Mt. SAC students!
ASAC Tutoring - free math tutoring for Mt. SAC students!
Khan Academy (useful video tutorials on many topics we cover)
A whole bunch of calculus problems with solutions
Neat problem involving geometric series
A bunch of neat calculus applets
Table of integrals (see page 92-93 for a smile)
An interesting article comparing other models with Newton's Law of Cooling
Binary clock
How to read a binary clock

Past Announcements
None yet...