BC Calculus 2-3, Fall 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....)

For previous semester's quizzes and exams, please visit my Fall 2010 website. (Please forgive the format – the site is three years old.)

• [1] Thursday, 18 Aug: Practice derivative and integrals.


• [2] Friday, 19 Aug: Learn integration by parts (Section 8.1). Do as many problems as you need to in order to feel confident you understand not only the method for computing antiderivatives using parts, but also why the method works.

• [3] Monday, 22 Aug: Download the BC2-3 Course Description. Here are some problems on partial fractions. The first Original Problem is due on Tuesday, 30 August.
  
  Finish the five problems on page 2 of the partial fractions handout.


• [4] Tuesday, 23 Aug: Finish the partial fractions problems for Thursday, and be sure to do additional practice in the text if you need it! We're moving on on Thursday....


• [5] Thursday, 25 Aug: Here are some integrals involving powers of trigonometric functions.


• [6] Friday, 26 Aug: Make sure you understand antiderivatives involving powers of trigonometric functions! Do some!

• [7] Monday, 29 Aug: Now on to trigonometric substitutions! (Both circular and hyperbolic, of course.)


• [8] Tuesday, 30 Aug: Bring questions for review. For an incomprehensibly intriguing mega-challenge, find $$\int\sqrt{\tan x}\,dx.$$ Believe it or not, you have all the necessary techniques to evaluate this antiderivative!
  
  I will accept original problems ON TIME Thursday.


• [9] Thursday, 1 Sept: Don't forget the FunDay tomorrow! Wheeee!!!!


• [10] Friday, 2 Sept: Finish the FunDay on techniques of integration for Tuesday.

• [11] Tuesday, 6 Sept: Find the volume of a sphere using frustums. (Hint: Ignore second-order differentials.) Also, can you prove (using calculus) that the derivative of the volume of a sphere is its surface area?
  
  Here is an interesting (geometry!?) problem: Let $a,b,c>0$. Prove $$(\sqrt{a^2+b^2}+\sqrt{b^2+c^2}+\sqrt{a^2+c^2})(-\sqrt{a^2+b^2}+\sqrt{b^2+c^2}+\sqrt{a^2+c^2}) \times(\sqrt{a^2+b^2}-\sqrt{b^2+c^2}+\sqrt{a^2+c^2})(\sqrt{a^2+b^2}+\sqrt{b^2+c^2}-\sqrt{a^2+c^2}) =4 ((ab)^2+(bc)^2+(ac)^2).$$


• [12] Wednesday, 7 Sept: For Thursday, 15 September, read Sections V.2 and V.3. This material will be on FunDay next (not the next day). To hand in: Problems #3, 4, 9, 11, 13, and 15 in Section V.3 (pp. V-25–26). Be sure you can graph (such as Problems #5–8 in V.3).
  
  Try problems #11, 13, 15, and 17 on p. 429, Section 7.2.


• [13] Thursday, 8 Sept: Continue with Section 7.2 with Problems #19 and 21.


• [14] Friday, 9 Sept: More revolution problems. Do some!

• [15] Monday, 12 Sept: Keep working on solids of revolution! Good ones to practice: #45 (washers) and #26 (shells), although you can use either method on either problem.


• [16] Tuesday, 13 Sept: Remember the FunDay on Friday! Be prepared for a discussion of the fourth dimension on Thursday.


• [17] Thursday, 15 Sept: FunDay tomorrow on solids of revolution!


• [18] Friday, 16 Sept: Here is a brief discussion on finding the volume of a hypersphere in many different ways. Extending this is a great project idea!
  
  Don't forget the homework (to hand in!) for Monday.
  
  Download the second FunDay on solids of revolution.

• [19] Monday, 19 Sept: Download the notes on Taylor series. Start working out the Exercises!


• [20] Tuesday, 20 Sept: Finish Section 3 for Thursday (the review of sequences and series from MI4).


• [21] Thursday, 22 Sept: Your next Original Problem is due next Thursday!


• [22] Friday, 23 Sept: Finish up to and including Exercise 31 for Monday (OK to skip Dreamtime – but it's fun to try!).

• [23] Monday, 26 Sept: Finish up to Exercise 33 for tomorrow.


• [24] Tuesday, 27 Sept: Finish Section 6 and bring questions for Thursday. Bring questions Thursday!


• [25] Thursday, 29 Sept: FunDay tomorrow!


• [26] Friday, 30 Sept: UDPATE: FunDay moved to Tuesday. We worked on Section 7 today in class. And don't forget: Original Problems due Monday (in LaTeX). Printed and/or stapled at the BEGINNING of class!

• [27] Monday, 3 Oct: FunDay tomorrow!


• [28] Tuesday, 4 Oct: Be sure that Section 7 is completed by Thursday. Download the first FunDay on Taylor series, Chapter 1–6.
  
  
• [29] Thursday, 6 Oct: REVIEW DERIVATIVES FOR THE NEXT FUNDAY!!!

• [30] Tuesday, 11 Oct: Get caught up to page 29(ish) by Thursday. ReFunDay Friday!


• [32] Thursday, 13 Oct: FunDay 3.1 tomorrow!


• [33] Friday, 14 Oct: Make sure the section on Alternating Series is finished by Monday. Download the retake of the first FunDay on Taylor series, Chapter 1–6.
  
  

• [34] Monday, 17 Oct: Keep working on Taylor series.


• [35] Tuesday, 18 Oct: Here is an updated set of Taylor series notes.


• [36] Thursday, 20 Oct: Project Day in class tomorrow.


• [37] Friday, 21 Oct: Get totally caught up!!!!!

• [38] Monday, 24 Oct: Class cancelled.


• [39] Tuesday, 25 Oct:


• [40] Thursday, 27 Oct: FunDay tomorrow.


• [41] Friday, 28 Oct: Download some handouts on vectors: Vectors1, Vectors2, and Vectors3. By next Friday, you should be prepared to hand in Vectors2, as well as rewriting Vectors3 using an initial velocity of $v_0$ m/s, an acceleration due to gravity of $g$, and an upward tilt of $\theta$.
  
  Download the FunDay on Chapters 7–9 on Taylor series.

• [42] Monday, 31 Oct: Read the section on Elementary Complexification for tomorrow. Bring questions!


• [43] Tuesday, 1 Nov:


• [44] Thursday, 3 Nov: Remember, the vectors homework is due tomorrow. Leave it on my desk. Finish the section on Taylor series for Monday.


• [45] Friday, 4 Nov: Finish Taylor series for Monday!

• [46] Monday, 7 Nov: We're starting First Approximations tomorrow.


• [47] Tuesday, 8 Nov: You should be finished with First Approximations by Thursday.


• [48] Thursday, 10 Nov: DO NOT FALL BEHIND!!! DW found this potentially helpful webite displaying a convergence/divergence flow chart. Caution: conditional/absolute convergence is not discussed.


• [49] Friday, 11 Nov: Here is our first assignment on slope fields. We've done some of this before in BC1, so things should look familiar. Also, you may use the index in your book....

• [50] Monday, 14 Nov: Be sure to finish Section 13. We're moving on tomorrow!


• [51] Tuesday, 15 Nov: Here is the next differential equations installment.


• [52] Thursday, 17 Nov: FunDay tomorrow!


• [53] Friday, 18 Nov: Keep working on the differential equations packets.

• [54] Monday, 21 Nov:


• [55] Tuesday, 22 Nov: Work on projects!

• [56] Monday, 28 Nov: Keep working on the Root Test!


• [57] Tuesday, 29 Nov: Learn about coffee!


• [58] Thursday, 1 Dec:


• [59] Friday, 2 Dec: Continue working on generating functions. You should be done with Exercise 119 by Monday.

• [60] Monday, 5 Dec: Happy Dodecahedron Day!


• [61] Tuesday, 6 Dec:


• [62] Thursday, 8 Dec: Be sure to finish the differential equations worksheets and bring questions.


• [63] Friday, 9 Dec: FunDay Tuesday! We'll take brief questions on Monday, then on to Second Approximations.

• [64] Monday, 12 Dec: FunDay tomorrow!


• [65] Tuesday, 13 Dec: Here is the FunDay on differential equations and generating functions.
  
  Please thoughtfully fill out this course survey (LaTeX). You may write out your responses, or if you prefer anonymity, type comments into the LaTeX document, print it out, and have someone else give it to me.


• [66] Thursday, 15 Dec:


• [67] Friday, 16 Dec:

last modified 2011