See the syllabus for full details on written homework.
Homework, quiz and tutorial grading questions should be directed to your TA: Kevin Selker ( kevin.selker at colorado edu / Math Office 342 ).
Homework Help
You are encouraged to seek help through all the means available to you: instructors, resource center, internet, tutors, etc. The internet can do your homework for you, especially the computational parts. However, it is your responsibility to seek only those means of help through which you learn. Specifically, when you write your solutions, you must write them alone, in your own words, using your textbook and course notes if necessary, not copying from other notes, websites, friends, or any other source. This means you can work on problems with your friends, your tutor, or your dog, but you must not copy answers during the discussion; instead, you must write in your own words, afresh from your own newly improved brain, after the discussing and working has been done. This is course policy, but it is also common sense study habits. Failure to follow this policy may result in a grade of zero.
Due Thursday, September 6th: 7.124, 70, 72, 86 (note: these are some harder substitutions; do the easier ones on webwork first if you are having trouble); 8.112, 27 (for this problem, please slice the water into horizontal slices and do an integral; then compare to a simpler geometric method to compute the volume!); 8.27, 29, 36. Extra problem: Compute the volume of a 5-dimensional sphere, using the formula for the volume of a 4-dimensional sphere. Solution here. SOLUTIONS: click on each number above.
Due Thursday, September 13th: 7.21, 22, 23, 26 (note: these are some harder integration-by-parts problems; do the easier ones on webwork first if you are having trouble); 8.214. 8.312, 15, 16, 25, 31, 34, 41, 42. SOLUTIONS: click on each number above.
Due Thursday, September 20th: 7.78, 12, 16, 36, 43, 50; Extra Problem 1: Find the antiderivative of x^{n}e^{x}, where n is a positive integer. That is, figure out what the answer looks like as a formula depending on n. Hint: Do a few small cases to figure out the general pattern. Explain what you do. Extra Problem 2: Suppose that every undergraduate at CU takes a True-False test by guessing. How many questions does the test need to have so that the expected number of perfect scores is closest to 1? What about if it is a multiple choice test where each problem has 5 options? For the multiple choice test, do you still expect the scores on the test to be distributed as a bell curve (hint: play with the quincunx)? What is the average grade? SOLUTIONS: click on each number above (solutions to extra problems here).
Due Thursday, September 27th: 7.416, 19, 43, 44 7.82, 6, 18, 24, 28, 30 Chapter 7 "Check Your Understanding" (p. 389)17-20.
Due WEDNESDAY, October 3rd: Note the due date one day early! NOTE: This is a large assignment, and it will count double: once for a Written Homework and also a Webwork (it replaces the Webwork due Monday the 1st). 8.43, 8, 11, 28. Chapter 7 Review26, 42, 66, 92, 126, 127, 153, 169, 174 (all these can be done by hand with the methods we've learned). Chapter 8 Review5, 19, 28, 41, 47, 49, 50, 51, 52, 53.
The idea is to use this assignment as review for the midterm. When you hand it in, keep a photocopy for yourself and check your own answers against the solutions, which will be posted at 10am on Wednesday. More suggested review problems are on the Resources page.
Due Thursday, October 11th: 9.142, 43, 45, 52, 55 9.23, 7, 12 Extra Problem: If a sequence is given by recursive formula S_{n} = 2S_{n-1} + 3S_{n-2}, and S_{3} = 9 and S_{4}=27, then a) what are S_{1} and S_{2}; and b) what is a closed form for S_{n}? Check that your closed formula works for the first four terms. Finally, think back to the tutorial, where we used a recursive formula to verify a closed formula by checking that if the closed formula is true for term S_{n}, then it is true for term S_{n+1}. Use the same method here to prove your closed formula is correct. This method is called induction. Solution to extra problem here.
Due Thursday, November 1st: 10.229, 30, 32 10.34, 19 10.47, 21 Extra Problem: Find all power series which are equal to their own derivative (i.e. write down a general power series and determine what has to be true about its coefficients; using this, explain what is the full set of solutions).
Due WEDNESDAY, November 7th: Note the due date one day early! NOTE: This is a large assignment, and it will count double: once for a Written Homework and also a Webwork (it replaces the Webwork due Monday the 5th). Chapter 9 Review: 1, 3, 5, 6, 30, 31, 34, 36, 37, 41, 43, 45, 47, 54, 58, 71, 72, 76-80 Chapter 9 Check Your Understanding: 2, 7, 8, 12, 20, 28, 44 (for `Check Your Understanding' questions, provide a justification for why the answer is True/False) Chapter 10 Review: 3, 12, 17, 21, 28, 30, 32, 34 (note: think before finding a series the 'direct' way; it may be easier to use one of the methods we've seen) Chapter 10 Check Your Understanding: 20, 22-24
The idea is to use this assignment as review for the midterm. When you hand it in, keep a photocopy for yourself and check your own answers against the solutions, which will be posted at 10am on Wednesday. More suggested review problems are on the Resources page.
Due Thursday, November 15th: 11.21,2,4,6,10,11,12; for some of these you will need to draw on the slope fields: you can find printable versions of these fields here (please make sure you use the right one for the right problem! compare with your text). Problem 1: A color, A black-white (note! solutions are in the back of the book; draw *different* curves (there are infinitely many to choose from) for full credit, Problem 4: B color, B black-white, Problem 11: C color, C black-white (if you use the black-white versions, please draw with a color pen); 11.46,12,20.
Due Thursday, November 29th: 11.424; 11.52, 4, 6, 16, 24; 12.14; 12.22, 4, 6, 8, 14, 22, 24;
Due Thursday, December 6th: 12.32, 4, 10, 14, 16, 25 (for this one, please make different choices of slices than the back of the book); 14.16, 16, 20; 14.22, 12, 28, 34, 38;
Due Thursday, December 13th: NOTE: This is a large assignment, and it will count double: once for a Written Homework and also a Webwork (it replaces the Webwork due Monday the 10th). Chapter 11 Review 2, 4, 8, 20, 22, 34, 40; Chapter 12 Review 6, 8, 12, 14, 16, 32, 34; Chapter 12 Check Your Understanding 34, 36; Chapter 14 Review 10, 14, 60; Chapter 14 Check Your Understanding 9, 15; Chapter 16.2 32, 36, 44; Chapter 16 Review 6, 13, 16;