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-M15F15 to get to the assignments for this course. You can find some instructions and tips on using WeBWorK here.

Announcements

The final exam is Saturday, December 12, from 7 pm - 10 pm in Sci 101.

Here are the solutions to the max/min problem worksheet from class. Here are the solutions to the related rates class worksheet. Here is a former 2nd exam, along with solutions.

Homework

#1, due Wednesday, 9/2: Automathography, calculus contract, WeBWorK HW1, find my office (sign your name on the list on my door), diagnostic quiz (if you didn't finish it in class)

#2, due Friday, 9/4: WeBWorK HW2; Section 1.8: #1, 2, 3; these problems; start working on the pi-rate treasure hunt

#3, due Monday, 9/7: You will need a calculator for this assignment! If you don't own one, there are plenty of good online calculators, including online graphing calculators (see link above). Remember: to solve a limit problem using "graphical" methods, you need to see a picture of the graph, so you'll need to use a graphing calculator to graph the function for you. WeBWorK HW3 (Note: for limits of functions with variables in the denominator, I highly recommend using graphical methods rather than numerical ones); from Section 1.8 of your textbook: #12, 13 (do both of 12 & 13 numerically), 26 (for this problem, estimate the answer to the first 5 decimal places--that is, keep plugging in numbers closer and closer to 0 until the 1st 5 decimal places of your output stop changing), 35, 50ab (be sure to set your calculator to radians!!); #41 from Chapter 1 Review; these problems; read this in preparation for Monday's lecture; the pi-rate treasure hunt is due Wednesday

#4, due Wednesday, 9/9: WeBWorK HW 4; pi-rate treasure hunt; Section 1.8 -- #15, 54, 55, 56, 58, 60, 62; these problems. Note: the expectation is that you should solve every one of these problems algebraically--i.e., using one of the methods we talked about in class on Monday--rather than graphically or numerically. So no calculators will be necessary for this assignment.

#5, due Friday, 9/11: WeBWorK HW5; Section 1.7 -- # 3, 4, 11, 12, 15, 16, 19, 20, 22, 30ab (for #11, 12, use the IVT).

#6, due Wednesday, 9/16: WeBWorK HW6; Section 2.1 -- # 1, 2, 4, 7, 18, 19, 20, 21, 27, 28, 36

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

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

#9, due Friday, 9/25: WeBWorK HW9; Section 2.4 -- 1, 3, 6, 12, 19, 21, 24, 28, 30

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

#11, due Wednesday, 9/30: WeBWorK HW11; 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 Friday, 10/2: WeBWorK HW12; Section 3.2 -- 7, 8, 14, 16, 25, 39, 40abc; Section 3.3 -- 4, 7, 12, 13, 20, 25, 30, 49, 52; Section 3.5 (not 3.4!!) -- 2, 3, 12, 34, 35, 41, 42, 44, 50

#13, due Monday, 10/5: Start to study for the exam! (See "announcements" section for a copy of an old exam + solutions.) Also: WeBWorK HW13; Section 3.4 -- 1, 4, 11, 12, 16, 23, 28, 31, 35, 40, 44, 66, 67, 72a, 77, 87

#14, due Friday, 10/9: WeBWorK HW14; Section 3.6 -- 1, 4, 11, 19, 20, 23, 27, 35, 38, 42, 61, 62, 65, 66, 69

#15, due Monday, 10/19: WeBWorK HW 15; Section 3.7 -- 1, 3, 4, 7, 9, 10, 14, 16, 17, 23, 24, 27

#16, due Wednesday, 10/21: WeBWorK HW 16; 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 Friday, 10/23: WeBWorK HW 17; Section 4.1 -- 2, 5, 6, 7, 8, 20, 25, 26, 39, 54; hand in your updated calculus contract

#18, due Monday, 10/26: WeBWorK HW 18; Section 4.1 -- 9, 10, 12, 13, 14, 16, 17, 18, 21, 24, 27, 35, 39

#19, due Wednesday, 10/28: WeBWorK HW19; Section 4.2 -- 4, 7, 8, 16, 17, 20, 23, 24

#20, due Friday, 10/30: WeBWorK HW20; Section 4.2 -- 1, 2, 12, 25, 28 (Hint--first solve for S), 37a, 41; AND Chapter 4 review (pp. 260-261) -- 14, 15

#21, due Monday, 11/2: WeBWorK HW21; Section 4.3 -- 1, 4, 5, 6, 7, 10, 12, 13, 18, 21, 30

#22, due Wednesday, 11/4: WeBWorK HW22; Section 4.3 -- 2, 3, 8, 14, 29a; AND Chapter 4 review (pp. 262-263) -- 49, 50, 70, 71, 72

#23, due Friday, 11/6: WeBWorK HW23; Section 4.5 -- 1, 4, 7, 8, 11, 12, 15, 17, 18, 23 (read note at top of column)

#24, due Monday, 11/9: WeBWorK HW24; Section 4.6 -- 4, 6, 7, 15, 17, 18, 25, 27, 28; do something that will help MINIMIZE your stress about the upcoming exam at 8 pm one week from this due date.

#25, due Wednesday, 11/11: WeBWorK HW25; Section 4.6 -- 2, 9, 13, 16, 19, 26, 29, 32, 35, 44, 51

#26, due Friday, 11/13: WeBWorK HW26; Section 4.7 -- 2, 5, 7, 8, 10, 11, 14, 15, 25, 26, 31, 32, 37, 38, 39, 44, 68

#27, due Wednesday, 11/18: WeBWorK HW27; Section 5.1 -- 2, 7, 30 (watch your units); this worksheet from class last Friday.

#28, due Friday, 11/20: WeBWorK HW28; Section 5.1 -- 1, 3, 4ab, 5, 6, 8 (you may want to graph this online or with a calculator first), 10, 14, 15ab, 25, 26

#29, due Monday, 11/23: WeBWorK HW29; Section 5.1 -- 9, 12, 15, 16, 19, 20, 22 (you will need to approximate how far "the farthest away from home" is), 23b, 24, 39

#30, due Wednesday, 11/25: WeBWorK HW30; 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

#31, due Monday, 11/30: WeBWorK HW31; Section 5.3 -- 1, 5, 6, 15, 16, 18 (don't do numerically), 19, 20, 22, 23ab, 25a, 28 (you will have to estimate; notice that the cost unit is dollars/worker-hour), 30, 31, 44, 49, 51

#32, due Wednesday, 12/2: WeBWorK HW32; Section 5.4 -- 5, 8, 11, 13, 14, 17, 18 (for 13-18 you only need to set up--not evaluate--the integral(s)), 24, 30, 32, 39, 40, 41, 43

Coming up: #33, due Friday, 12/4: WeBWorK HW33; Section 6.1 --