BC Calculus 1-2, Spring 2011

Below you will find the daily homework assignments as well as various other useful items. Visit this page whenever you miss class! (Not that you ever will....)

• Visit the BC12 Spring 2010 web site for examples of previous exams and assignments.

• [1] Tuesday, 18 Jan: Previous BC Fast students have put together a few survival tips to help you navigate through the semester.
  
  Download the BC12 Course Description.
  
  Read Sections 1.1 and 1.2 for Wednesday. In Section 1.2, find 6-8 representative problems at the end of the section which address the main concepts in the section. Bring any questions you might have.


• [2] Wednesday, 19 Jan: Download the altitude vs. velocity example (and the accompanying Winplot file). Finish the worksheet on rates of change for tomorrow.


• [3] Thursday, 20 Jan: Read Section 1.3 for Friday.


• [4] Friday, 21 Jan: Download expectations for original problems (latex). Also, download rate of change examples (in Winplot): Example 1, Example 2, Example 3. (Note: it is easiest to save these to your Desktop (for example) and then open them from Winplot.) You can also download some examples in Mathematica.
  
  Try out Euler's method for Monday.
  
  Homework summary: Critical reading (see an example) (hand in a hard copy) and Euler problem due Monday. Original problem due Tuesday. Nothing for Thursday (except bring questions about the exam). FunDay (exam) Friday. Polynomial recurrences due the following Monday.

• [5] Monday, 24 Jan: Here is the first Euler handout, and here is the second Euler handout.
  
  Download the homework assignment on polynomial recurrence relations (latex) for next Monday.


• [6] Tuesday, 25 Jan: To use Euler's method in Winplot, go to the Equa menu, and select Differential, then dy/dx. Type in the appropriate equation.
  
  Now go to the One menu, and select dy/dx trajectory. Enter values for x, y, and step size. Click on draw. Then enter the number of steps, and then click table to see the table of values.
  
  For Thursday, come with questions! Review Sections 1.1-1.4. Remember: you will need to be more self-directed in the class than in MI4.


• [7] Thursday, 27 Jan: FunDay tomorrow!


• [8] Friday, 28 Jan: Download the exam on Euler's method and related topics.

• [9] Monday, 31 Jan: Read Section 1.5 for Tuesday.


• [10] Tuesday, 1 Feb: Finish the three sign charts for Thursday. (You only need to sketch the first one.)


• [11] Thursday, 3 Feb: Read Sections 1.6 and 1.7; finish Problems #42-49 for tomorrow.


• [12] Friday, 4 Feb: Redo polynomial recurrences as necessary. Work on derivatives.

• [13] Monday, 7 Feb: An original problem is due next Tuesday. Make sure you include: (1) motivation (a few sentences), (2) complete problem statement, (3) solution, (4) reflection (one or two sentences). After the third quarter, problems not created in LaTeX will not be accepted.
  
  Keep working on derivatives!


• [14] Tuesday, 8 Feb: Which additional derivatives can you calculate using the limit definition? Read Section 2.2. You should be able to do any of the exercises at the end of the section. I'll ask you to do a few on Thursday!


• [15] Thursday, 10 Feb: Download last year's exam on derivatives.
  
  FunDay tomorrow!


• [16] Friday, 11 Feb: Keep working on your original problems. Read Sections 2.3 and 2.4 for Monday.

• [17] Monday, 14 Feb: Do problems #1-3 on finite differences (latex) for next Thursday.
  
  Finish Worksheet 2 on limits. Bring questions! (And be sure you've read Section 2.3.)


• [18] Tuesday, 15 Feb: Now it's time to bring out the APADs!!!! (latex)
  
  A few definitions concerning continuity, along with some interesting problems on limits.


• [19] Thursday, 17 Feb: Finish the limit worksheets for Tuesday. Have a great extended weekend!

• [20] Tuesday, 22 Feb: Finish limits! Also, here are the practice problems from the book:
  
  Section 2.1: #11, 33, 35, 37, 45, 49, 51.
  Section 2.2: #11, 13, 17-31 odds, 37, 45-49 (OK?), 51, 53, 57, 61.


• [21] Wednesday, 23 Feb:


• [22] Thursday, 24 Feb: Practice derivatives for Monday!

• [23] Monday, 28 Feb: Tomorrow: Derivatives for chocolate! Don't forget to look up implicit differentiation in the book.


• [24] Tuesday, 1 Mar: Oral Quiz on limits Thursday. Be prepared! Also, bring review questions for this Friday's FunDay!


• [25] Thursday, 3 Mar: Here is copy of last year's exam on continuity and limits.


• [26] Friday, 4 Mar: Download this year's exam on continuity and limits.
  
  LaTeX should be downloaded for Monday (this will count as a HW assignment). You should have a draft of an original problem to work on during class.

• [27] Monday, 7 Mar: Here are Dr. Prince's most excellent LaTeX tips!


• [28] Tuesday, 8 Mar: Do some problems on derivatives of inverse functions! Also, in Section 2.4: problems #19-27 (odds), 39, 47-55 (odds), 61, and 65. Remember: these are the minimum you should work. Answers to all the problems are in the maroon binder in the math office.


• [29] Thursday, 10 Mar: Here are the problems to work through in Section 2.5: #9, 15, 17, 21, 22, 27, 39, 40, 47, 50.


• [30] Friday, 11 Mar: In Section 4.1, be sure you can work out 7-14, 23-25, 27, 29, and any other problems you find interesting....

• [31] Monday, 14 Mar: Finish the asymptotes worksheet for Tuesday!


• [32] Tuesday, 15 Mar: Keep working on the L'Hopital's rule worksheet for Thursday. Bring brilliant (naturally) questions!


• [33] Thursday, 17 Mar:


• [34] Friday, 18 Mar: Bring questions for review on Monday!

• [35] Monday, 21 Mar: FunDay tomorrow! You will have a TI-30 for your use if you so desire. The L'Hopital exam is on last year's web site.


• [36] Tuesday, 22 Mar: Download this year's exam on differential equations and L'Hopital's rule. Keep working out problems for Thursday.
  
  I know that some students had some difficulty with the FunDay. So I am willing to consider some reworking of the exam. For each problem,
  
  
  • Work out the problem correctly.
  • Explain clearly where you made your error (could be: forgot to memorize a formula, didn't understand a concept, differentiated instead of antidifferentiated, etc.)
  • Suggest what you could do differently in preparing for the next FunDay so you won't make the same mistake again!
  
  Also, end with a paragraph of what, in general, you can do to improve your performance on the next FunDay.


• [37] Thursday, 24 Mar: Be working on FunDay corrections. You should make it a point to bring them in to me and discuss them at some point.


• [38] Friday, 25 Mar: Make sure you find the section on parameterizations in the book (using the index, if necessary!). Choose six representative problems. Be prepared to defend your results!

• [39] Monday, 4 Apr: Problems #11-12 are good to try in Section 4.4. The assignment on polynomial recurrences is due next Monday.


• [40] Tuesday, 5 Apr: Finish the parameterization worksheet for Thursday!


• [41] Thursday, 7 Apr: Good related problems to practice in Section 4.5 are #14, 19, 23, 25, 26 (and any others you'd like to try).


• [42] Friday, 8 Apr: Polynomial recurrences due Monday!

• [43] Monday, 11 Apr: Finish the proofs/counterexamples worksheet on the EVT, IVT, and MVT for tomorrow.
  
  For next Monday, read pages 4-5 and do Problem 8 in the Finite Differences packet (see Week 5 above), then do #3 on polynomial recurrences!


• [44] Tuesday, 12 Apr: The following book problems would be useful to peruse: Section 4.8, #22-42; Section 4.9, #20-32. You do not need to do every one, but try several different types of problems. Bring questions Thursday!
  
  Here is some more practice with VT problems!


• [45] Thursday, 14 Apr:


• [46] Friday, 15 Apr: Class cancelled (UIUC trip).

• [47] Monday, 18 Apr: FunDay tomorrow! Woohoo!


• [48] Tuesday, 19 Apr: Here is the FunDay on parameterizations, related rates, and E/I/MVT.


• [49] Wednesday, 20 Apr: Have a great Extended Break!

• [50] Tuesday, 26 Apr: Here is an introductory web site on solving optimization problems. Here are some more optimization practice problems. You should be practicing! To start: #11, 15, 18, 27, and 31 in the text.


• [51] Thursday, 28 Apr: Keep working on optimization problems. I will expect intelligent questions tomorrow!
  
  Also, there is an original problem due next Friday.


• [52] Friday, 29 Apr: Optimize, optimize, optimize!

• [53] Monday, 2 May: AP exams!!!


• [54] Tuesday, 3 May: Here are some probelms on accumulation functions.


• [55] Thursday, 5 May: Book problems for practice: Chapter 5.1, #41-48, 53-60; 5.2, #3-8, 39-44, 51-56.


• [56] Friday, 6 May: Homework on accumulation functions. I will be checking it (and possibly collecting it) on Monday.
  
  You might also want to look at APADs #34, 35, and 36 (see Week 5 above).

• [57] Monday, 9 May: Work on the APADs!! That's #34, 35.


• [58] Tuesday, 10 May:


• [59] Wednesday, 11 May: Bring comptuers tomorrow for using Mathematica!


• [60] Thursday, 12 May:

• [61] Monday, 16 May: FunDay tomorrow!


• [62] Tuesday, 17 May: Here is the FunDay on optimization, accumulation functions, and substitution.
  
  Be sure to finish the approximation sheets for Thursday.


• [63] Thursday, 19 May:


• [64] Friday, 20 May:

• [65] Monday, 23 May:


• [66] Tuesday, 24 May:


• [67] Thursday, 26 May: Final Exam in the West Gym tomorrow. Bring your books. Bring your note cards.


• [68] Friday, 27 May: