Math 15

Some common calculus myths

Give me some anonymous feedback! (Be sure to state somewhere in the comments that the feedback is for Math 15 or else I might end up improving a different course!)

Here's a nifty summary of some of the algebra/trig topics frequently needed in Math 15.

Some advice from former Math 15 students on how to succeed in this course!

You can logon to WeBWorK here. Your login name will be your Swarthmore email user ID (the part of your address that precedes @swarthmore.edu), and your password will be your Swarthmore network password. Click on Grood-M15F14 to get to the assignments for this course. You can find some instructions and tips on using WeBWorK here.

Here is the Riemann sum applet we worked with in class on 11/12.

Announcements

Office hours during the week of December 8: Tuesday, 3:30-4:30; Thursday, 3 - 5; Friday, 3 - 5

One last pi-rate session! Thursday, 12/11, from 8 - 10 in Sci 158.

The final exam is from 2 - 5 pm on Saturday, December 13, in Sci 101. Here is a former Math 15 final exam (solutions). Here are solutions to the former exam I handed out on the last day of class.

Get yourself in the calculus studying spirit with this ditty by Math 15 alum Kyle Pierce '14 (lyrics) or these youtube classics (1, 2). Here is another calculus carol with no soundtrack.

Homework

#1, due Wednesday, 9/3: Automathography, calculus contract, WeBWorK HW1, find my office and Kaitlyn Litwinetz's office (sign your name on the lists on our respective doors), diagnostic quiz (if you didn't finish it in class)

#2, due Friday, 9/5: WeBWorK HW2; Section 1.8, #1, 2, 3; these problems

#3, due Monday, 9/8:

• WeBWorK HW3; AND
• from Section 1.8 of your textbook: #10, 14, 30, 31, 51ab (be sure to set your calculator to radians!!); AND
• these problems; AND
• read this in preparation for Monday's lecture; AND
• this field trip (this part of the assignment is actually due Thursday at 10pm)
Note: for the textbook problems, you may use either numerical or graphical methods to find the limits. Either way, you will need a calculator for this assignment! If you don't own one, there are plenty of good (free) online calculators, even online graphing calculators. Remember: to solve a limit problem using "graphical" methods, you need to see a picture of the graph, so you'll need to find something (or someone!) to graph the function for you.

#4, due Wednesday, 9/10:

• WeBWorK HW4; AND
• Section 1.8: #15, 54, 55, 56, 58, 60, 62; AND
• these problems; AND
• this (if you haven't already done it; actually due Thursday at 10 pm)

Note: the expectation is that you are able to do every one of these problems algebraically--ie, without a calculator, using the methods we talked about in class on Monday--rather than graphically (ie, by plotting a graph) or numerically (ie, by creating a table of values).

#5, due Friday, 9/12:

• WeBWorK HW5; AND
• Section 1.7: #3, 4, 11, 12, 15, 16, 19, 20, 22, 30ab; (for #11, 12 use the IVT)
• (if it's not after Thursday, 10 pm, you still have time do this)

#6, due Monday, 9/15:

• WeBWorK HW6; AND
• Section 2.1: #1, 2, 4, 7, 18, 19, 20, 21, 27, 36

#7, due Wednesday, 9/17: WeBWorK HW7; AND Section 2.2: 1, 4, 10, 11, 12, 13, 14, 15, 17, 18, 20, 41, 43, 45, 47

#8, due Friday, 9/19: WeBWorK HW8; AND Section 2.3: 2, 5, 6, 8, 21, 22 (note for 21,22: "using difference quotients" means "use the definition of the derivative") 24, 31, 34, 43

#9, due Monday, 9/22: WeBWorK HW9; AND Section 2.4: 1, 3, 6, 12, 19, 21, 24, 28, 30

#10, due Wednesday, 9/24: WeBWorK HW10; AND Section 2.5: 1, 2, 3, 5, 12, 15, 19, 20, 26, 27, 28, 37

#11, due Friday, 9/26: WeBWorK HW 11; AND Section 2.6: 1, 2, 3, 4, 8; AND Section 3.1: 2, 7, 8, 10, 13, 14, 17, 20, 23, 28, 32, 35, 39, 57, 60

#12, due Monday, 9/29: WeBWorK HW12; AND Section 3.2: 5, 7, 8, 14, 17, 18, 39, 40abc; AND Section 3.3: 4, 7, 10, 13, 16, 20, 25, 30, 40, 41, 49, 52, 56

#13, due Wednesday, 10/1: WeBWorK HW13; AND Section 3.4: 1, 4, 11, 12, 16, 23, 28, 31, 35, 40, 44, 66, 67, 72a, 77, 87

#14, due Friday, 10/3: WeBWorK HW14; AND Section 3.5: 3, 4, 10, 13, 17, 20, 23, 24, 25, 31, 38; AND Section 3.6: 1, 4, 11, 19, 20, 27, 38

#15, due Monday, 10/6: WeBWorK HW15; AND Section 3.6: 23, 35, 28, 32, 61, 62, 65, 66, 69; AND Section 3.7: 1, 4, 7, 9, 14, 23, 24, 27

#16, due Monday, 10/20: WeBWorK HW16; AND Section 3.9: 1, 2, 5, 6, 8, 12ab, 14, 15, 18, 30 (r=3/5), 31 (k=3); AND Chapter 3 review (p.182): 105, 106

#17, due Wednesday, 10/22: WeBWorK HW17; AND Section 4.1: 5, 6, 7, 8, 9, 10, 12, 13, 14, 21, 22

#18, due Friday, 10/24: WeBWorK HW18; AND this; AND Section 4.1: 16, 17, 18, 20, 24, 25, 26, 27, 35, 39; AND Chapter 4 review (on p. 261): 19

#19, due Monday, 10/27: WeBWorK HW19; AND Section 4.2: 4, 7, 8, 16, 17, 20, 23, 24, 31b; AND the updated calculus contract if you forgot to do it for Friday.

#20, due Wednesday, 10/29: WeBWorK HW 20; AND Section 4.2: 1, 2, 12, 25, 30 (hints: multiply out first; treat the constant "C" like a number--say, 2; answer will have a "C" in it), 37a (again, treat the constants like numbers and expect one or more of the constants to show up in your answer), 41; AND Chapter 4 review (pp. 260-261): 14, 15; AND Section 4.3: 5

#21, due Friday, 10/31: WeBWorK HW21; AND Section 4.3: 1, 4, 6, 7, 10, 12, 13, 18, 21, 29a

#22, due Monday, 11/3: WeBWorK HW22; AND Section 4.3: 2, 3, 8, 14; AND Chapter 4 Review (p. 263): 49, 50, 66, 70, 71, 72

#23, due Wednesday, 11/5: WeBWorK HW 23; AND Section 4.5: 1, 4, 7, 8, 11, 12, 15, 17, 18, 23 (read note at top of column)

#24, due Friday, 11/7: WeBWorK HW24; AND Section 4.6: 4, 6, 7, 15, 17, 18, 25, 27, 28, 44

#25, due Monday, 11/10: WeBWorK HW25; AND Section 4.6: 2, 9, 13, 16, 19, 26, 29, 32, 35, 51; AND Section 4.7: 2, 3, 25, 26; AND do something that will help MINIMIZE your stress about the upcoming exam at 8 pm one week from this due date.

#26, due Wednesday, 11/12: WeBWorK HW26; AND Section 4.7: 5, 7, 8, 9, 10, 11, 12, 14, 15, 31, 32, 37 (cos^(-1) is arccos), 38, 39, 44, 51, 68

#27, due Friday, 11/14: Read "Velocity Data Every Two Seconds" on p. 272 of your text; AND WeBWorK HW27; AND this worksheet from class on Monday; AND Section 5.1: 1, 2, 3, 6 (you may need to see a graph to know how to over/underestimate), 7, 8 (you may need to see a graph to know how to over/underestimate), 13, 26, 30 (watch your units)

#28, due Wednesday, 11/19: WeBWorK HW28; AND Section 5.1: 4ab, 9, 12, 15, 16, 19, 20, 22 (you will need to *approximate* how far away "the farthest from home" is), 23b, 24, 25, 39

#29, due Friday, 11/21: WeBWorK HW29; AND Section 5.2: 2, 3, 4bc, 11, 14, 17, 18, 19, 29, 30, 32, 36b (you don't have to simplify--ie, you can just write out the sum), 41

#30, due Monday, 11/24: WeBWorK HW30; AND Section 5.3: 1, 5, 6, 15, 16, 18 (don't do numerically), 19, 20, 22, 23ab, 25a, 28 (you will have to estimate; note that the cost unit is dollars/worker-hour), 30, 31, 44, 49, 51

#31, due Wednesday, 11/26: WeBWorK HW 31; AND Section 5.4: 5, 8, 11, 13, 14, 17, 18 (for 13-18, you only need to set up (not evaluate) the integral, AND you may use technology to graph the functions for you), 24, 30, 31, 32, 39, 40, 41, 43

#32, due Monday, 12/1: WeBWorK HW 32; AND Section 6.2 (not 6.1!): 17, 20, 23, 25, 28, 38, 41, 46, 49, 53, 54, 56, 67, 68

#33, due Wednesday, 12/3: WeBWorK HW33; AND Section 6.1:1, 2, 5, 6, 7, 16, 17, 18, 21, 23, 26, 29

#34, due Friday, 12/5: WeBWorK HW34; AND Section 6.4 (not 6.3): 11, 12, 13, 15, 17, 22, 24, 35, 36, 37, 40, 41, 43

#35, due Monday, 12/8: The last homework assignment! WeBWorK HW35; AND Section 6.3: 9, 10, 11, 14, 15, 17, 22, 23, 29, 31, 32, 33