Math 181
TTh 1:003:05pm
Spring 2020
(For past announcements, click here.)
Syllabus
Calendar
Scavenger Hunt
Location: 611608 (Building 61, Room 1608)
Mon 8:309:15am, 1:151:45pm
Tues 11:45am12:45pm
Wed 8:309:15am
Thurs 11:45am12:45pm
(* Note: "EOO" means "Every Other Odd", for example: 1, 5, 9, 13, etc.)
6.1 (p.434) #127 odd (for #19, be sure to sketch curves to find intersection points)
6.2 (p.446) #117 odd, 1933 odd (set up only), 47, 49, 51, 55, 58, 59, 61 (set up for #58 is $\int_0^1{4(1y)dy}$ and the answer is $2$)
6.3 (p.453) #319 odd, 2125 (part a only), 3743 odd
6.4 (p.458) #1, 515 odd, 23, 25
6.5 (p.463) #17 odd, 15
7.1 (p.476) #517 EOO, 19, 2933 odd, 57, 61, 65
7.2 (p.484) #139 odd, 47, 55, 57, 61, 63
7.3 (p.491) #529 odd, 33, 37
7.4 (p.501) #929 odd, 39, 41, 4549 odd (Hint: Substitute $u=e^x$ for #47, and substitute $u=\tan{t}$ for #49)
7.5 (p.507) #115 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) #537 EOO, 4953 odd
8.1 (p.548) #917 odd
8.2 (p.555) #1a, 3a, 5a, 717 odd
8.3 (p.565) #315 odd, 2533 odd
9.1 (p.590) #15 odd, 9, 11
9.3 (p.605) #117 odd, 29, 31, 43, 45, 47
10.1 (p.645) #121 odd
10.2 (p.655) #17 odd, 1119 odd, 2933 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) #111 odd, 1539 odd, 5563 odd
10.4 (p.672) #111 odd, 1723 odd, 2731 odd, 3741 odd, 45, 47
11.1 (p.704) #317 odd, 2355 odd, 7381 odd (for #81, only find its limit)
11.2 (p.715) #1547 odd, 5155 odd
11.3 (p.725) #327 odd, 37, 39
11.4 (p.731) #327 odd, 37, 39 (Hint: For #31, use LCT with $\sum{\frac{1}{n}}$)
11.5 (p.736) #319 odd, 2329 odd
11.6 (p.742) #339 odd, 43
11.7 (p.746) #137 odd
11.8 (p.751) #327 odd
11.9 (p.757) #319 odd, 2531 odd
11.10 (p.771) #1125 odd, 3141 odd, 5169 odd
11.11 (p.780) #39 odd (don't worry about graphing), 1319 odd (parts a and b only)
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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
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
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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
Basic Integral Review
None yet!
6.1  Area between curves with Riemann sums
6.2  Solids of Revolution  Crosssections and estimations
6.2  Solids  Square crosssections
6.2  Solids  Isosceles right triangle crosssections
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 crosssections with approximating cylinders
6.2/6.3  Awesome 3D grapher!
6.2  Crosssections
6.2  Disks/washers
6.3  Shells
8.1  Arc lengths
6.4  Calculating Work with NonConstant 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
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 9293 for a smile)
An interesting article comparing other models with Newton's Law of Cooling
Binary clock
How to read a binary clock
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