Schedule for MATH 131 section 4, Fall 2008

You will find a tentative schedule of lectures below. Homework Quizzes make up 12% of your course grade and they will be selected from the homework detailed in the table. You should notice that the solved problems (posted by topic below the table) contain many problems like the homework.

The "Homework Projects" comprise 16% of your grade. If you go to the base of this page you will find that the actual problems linked in pdf-file format. The Homework Projects will also be distributed in lecture long before their due date.

Homework Schedule:

It is important to both complete and understand the homework. I encourage you to form study groups, however, it is very important that in the end you come to an understanding of the material for yourself. You will most likely find the homework in this course challenging at times, so it is important to begin early and give yourself a chance to talk to others (for example me) before the due date. You may also email me reasonable questions.

It is not enough to find the answer - you must be able to justify each step. Imagine that you are writing the solution for a person who doesn't know calculus. On our tests I will expect you to explain your work since presentation and proper notation are arguably as important as the answer itself. In my lectures I strive to present calculations in a coherent and logical manner and I will expect you to do the same. So, take some time to notice what the notation means and don't just scribble the bare amount to get the answer. It's a bad habit and it will most likely knock a letter grade or two off of your tests.

I am always happy to look over your derivations of homework during office hours. Additionally, most days (time permitting), I'll answer a question about the homework. I try to give you all the tools you need to do the homework, but it is you who must put those tools to work. Think.

The homework is posted below. Notice I have indicated which portion of my lecture notes as well as which part of the textbook is most relevant to the assigment. Beware, sometimes the homework is not exactly matched up with the lecture notes link, sometimes you need to look at the next few pages. The pdf's of my lecture notes are chopped up chapter by chapter, usually you can find what you need somewhere in that chapter. If you are lost send me an email, I'll try to point you in the right direction. It would be wise to print out a copy of the lecture notes - you will find them helpful for certain homework problems. It is your responsibility to finish the homework assigned by the due date (before class).

  • On the due date, or anytime after, any problem assigned in the table below is fair game for a "Homework Quiz"

    • I have placed * next to a number of homework exercises. This is a reminder to myself and you that I have something to say about that given problem. In some cases just a hint, in other cases I mean to work the problem in class. It would be good to remind me of these before the due date when I ask "are there any questions ?". That is your cue to get me to do some of your homework, or at least to help. So, take advantage of my offer please.

    I will give you enough time to copy a solution of the problem neatly onto a seperate sheet of paper. I do not collect all of the homework which is due when we have a "homework quiz". I choose a few problems and have you rewrite your solution.

    The Homework Quizzes will be based on one of the problems below, unless I explicitly say otherwise (I would warn you in advance if I was to stray from these problems for a particular Homework Quiz).

    Section # My Lecture Notes "Due Date" Assignment Description / Hints / Mathematica helps
    Event c1 Aug 18 Read through the introduction to my notes. First day of classes
    Event . Aug 20 Calculus Readiness Test. (counts as two homework quizzes)
    Sec. 1.1 c2.1, c2.2, c2.3 Aug. 21 2, 8*, 28, 30, 45, 50*, 56*, 64, 65* equations and models (p.21)
    Sec. 1.2 c2.4 Aug. 22 1, 6, 7, 8*, 9* functions and curve fitting (p.34)
    Sec. 1.3 c2.5 Aug. 25 3, 31, 59, 63*, 65*, 66* manipulating functions and their graphs (p.46)
    Sec. 7.1a c2.6 Aug. 25 1, 2, 11*, 17, 21, 22*, 23, 25 inverse functions (p.391)
    Sec. 7.2a c2.4.8, c2.4.9 Aug. 25 1, 2*, 10, 17* exponential functions (p.402)
    Sec. 7.3a c2.4.8, c2.4.9 Aug. 25 1, 2, 8, 11, 17, 27*, 28 logarithmic functions (p.409)
    Sec. 7.6a c2.4.7 Aug. 25 1, 2, 10*, 11* inverse trig functions (p.461)
    Sec. 7.7a c2.4.10 Aug. 27 1, 3, 7, 11*, 13*, 26 hyperbolic functions (p.468),(hint: for 26 see Example 3 p.466-467)
    Sec. 2.2 c3.1 Aug. 29 2, 6, 14, 25*, 26, 27, 40* limits (p.74)
    Sec. 2.3 c3.2, c3.3, c3.4, c3.5, c3.6, c3.7 Sept. 1 3*, 4, 5, 6, 10, 13, 17, 19*, 25, 26*, 27, 37*, 58, 61 limit laws (p.84), (hint: for 19 need to factor out an (x+2) in the denominator)
    Sec. 2.4 c3.8 Sept. 4 15, 19, 24, 44(wildcard) technical limits (p.96)
    Sec. 2.5 c3.2, c3.3 Sept. 5 1, 2, 4, 6, 32, 40*, 42*, 45*, 48*, 55 continuity (p.106)
    Event . Sept. 5 Homework Project I due functions and limits
    Sec. 3.1 c4.1 Sept. 8 4, 6, 10*, 14*, 16*, 32, 33 definition of derivative at a point, tangent lines (p.121)
    . . Sept. 8 Review for Test I day your questions, my hints.
    Event Test I Sept. 9 Sections 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5, 3.1, 7.1a, 7.2a, 7.3a, 7.7a functions, algebra, limits and definition of derivative
    Sec. 3.2 c4.1, c4.2 Sept. 15 3, 27*, 39, 41*, 53 derivative as a function (p.131)
    Sec. 3.3 c4.3, c4.6, c4.7, Sept. 16 1, 3, 5, 7, 9, 11, 13*, 15*, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35*, 37, 39, 41*, 43*, 49, 57*, 59, 61, 65, 69*, 71*, 79, 83*, 85, 93, 96* derivatives involving linearity, products, and quotient rule (p.144)
    Sec. 3.4 c4.3, c4.5, c4.6, c4.7 Sept. 16 1, 3, 5, 7, 9*, 11*, 13, 15, 37, 49 derivatives of sine and cosine and their products, reciprocals etc... (p.154)
    Sec. 3.5 c4.8 Sept. 19 1, 3, 5, 7, 9, 11, 13*, 15*, 17, 19, 21, 23, 25, 27*, 29, 31, 33, 41, 43*, 48*, 59, 79, 84, 87*, 89* chain rule for composite functions (p.160)
    Sec. 3.6 c4.9 Sept. 23 5, 7, 9, 11, 13, 23, 25*, 33, 40, 45*, 53* implicit differentiation (p.169)
    Sec. 7.2b c4.4, c4.6, c4.7, c4.8 Sept. 23 31, 33, 35, 37, 39, 41, 43, 45, 49*, 53* derivatives involving exponential functions (p.402)
    Sec. 7.4a c4.9, c4.10 Sept. 25 3, 7, 11, 13, 17, 25, 41, 43, 45*, 47*, 49*, 51* derivatives of logarithms and logarithmic differentiation (p.419)
    Sec. 7.6b c4.9 Sep. 25 19, 29, 31 derivatives of inverse trig functions (p.461)
    Sec. 7.7b c4.11 Sep. 26 29(wildcard), 31, 33, 35 differentiation of hyperbolic functions (p.469)
    Event . Sept. 26 Homework Project II due differentiation
    Event . Sept. 29 Review for Test II day your questions, my hints.
    Event Test II Sept. 30 Sections 3.2, 3.3, 7.2b, 3.4, 3.5, 3.6, 7.4a techniques of differentiation
    Sec. 3.8 c5.1 Oct. 6 1, 3, 5, 11, 13, 15, 17, 23, 33, 43 related rates (p.186)
    Sec. 3.9 c5.2 Oct. 7 1, 11, 15, 19, 33 linearizations and differentials (p.191)
    Sec. 4.1 c5.3 Oct. 10 7, 9, 29, 31, 33, 35, 45, 49, 57, 59, 63, 72 extreme values (p.211)
    Sec. 4.2 c5.4 Oct. 13 1, 5, 11, 17, 21 Rolle's Theorem, Mean Value Theorem (p.219)
    Sec. 4.3 c5.5 Oct. 13 1, 3, 4, 5, 7, 9, 11, 13, 21, 23, 29, 40, 53, 67(wildcard) derivatives and shape of graphs (p.227)
    Sec. 4.4 c5.6 Oct. 14 3, 7, 9, 11, 19, 22, 25, 27, 29, 67*, 69* limits at infinity (p.240), algebra and/or logic will resolve the indeterminancy.
    Sec. 4.5 c5.7 Oct. 15 1, 9, 13, 25, 39, 40*, 42* the big picture (p.248)
    Sec. 4.7 c5.8 Oct. 20 3, 5, 7, 17, 19, 21, 23, 33, 37*, 41*, 43, 49, 71 optimization (p.262)
    Sec. 7.6c c5.8 Oct. 20 47 optimization (p.461)
    Sec. 5.1 c6.1 Oct. 21 3, 15 the area problem (p.298)
    Sec. 5.2 c6.2 Oct. 21 5, 21, 27*, 65 definition and properties of the definite integral (p.310)
    Sec. 4.9 c6.3 Oct. 22 1, 3, 5, 7, 9, 11, 13, 15, 17, 23*, 25*, 33, 37, 41, 45 antiderivatives (p.279)
    Sec. 5.3 c6.4 Oct. 24 7, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 37*, 45, 49, 69, 71, 73* Fundamental Theorem of Calculus (FTC)(p.321)
    Event . Oct. 24 Homework Project III due applications of differentiation and foundations of integration
    Event . Oct. 27 Review for Test III day your questions, my hints.
    Event Test III Oct. 28 Sections 3.8, 3.9, 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.9, 5.1, 5.2, 5.3, 7.2c, 7.4b, 7.6c applications of differentiation and fundamentals of integration
    Sec. 5.4 c7.1 Nov. 3 5, 7, 9, 11, 13, 15, 31, 41*, 48, 52, 53, 55, 57, 59, 67*, 69, 71, 72 indefinite integrals (most general antiderivative), integrals as sums for computing net change (p.329)
    Sec. 5.5 c7.2 Nov. 6 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 35, 37, 39, 41, 43, 45, 47, 49, 59, 63*, 64, 65, 67, 69, 71, 73, 75*, 77*, 79, 81 u-substitution (p.338)
    Sec. 7.2d c7.2 Nov. 7 73, 77, 79, 81 integrals involving exponential function, some problems need u-substitution technique here. (p.404)
    Sec. 7.4c c7.2 Nov. 7 69, 71, 73, 79 integrals that yield logarithms, some problems need u-substitution technique here. (p.421)
    Sec. 7.6d c7.2 Nov. 7 63*, 65*, 69, 71 integrals that yield inverse trig. functions, some problems need u-substitution here. (p.462)
    Sec. 6.1 c8.1 Nov. 14 5, 7, 9, 11, 13, 19, 21, 29*, 49 areas bounded by curves (p.352)
    Sec. 6.2 c8.2 Nov. 14 1, 3, 5, 7, 9, 49, 51, 53, 57*, 65*, 70* volumes by the slice (p.362)
    Sec. 6.3 c8.3 Nov. 17 5, 7, 9, 11, 46 volumes by the shell (p.368)
    Event . Nov. 14 Homework Project IV due u-substitution, areas and volumes
    Event . Nov. 19 Review for Test IV day your questions, my hints.
    Event Test IV Nov. 20 Sections 5.4, 5.5, 6.1, 6.2, 6.3, 7.2d, 7.4c, 7.6d basic integration and select applications
    Event . Nov. 24-28 . Thanksgiving Break
    Sec. 7.8 c9 Dec. 3 5, 7, 9, 11, 13, 15, 17, 19, 21*, 23, 25*, 27*, 29*, 43*, 49, 55*, 59*, 63*, 85, 93, 94, 99(wildcard) L'Hopital's Rule (p.478)
    Event . Dec. 3 review for final exam Last day of classes
    Event Final Exam Dec. 10, 3:30-5:30 comprehensive, covers everything tested on Tests I,II,III and IV AND section 7.8 tests I, II,III,IV and 7.8

  • "wildcard" exercises can be turned in anytime before the last test. If they are nearly correct then I allow you to substitute your wildcard grade for some unsatisfactory Homework Quiz grade, or if you missed one it can substitute for the missed Homework Quiz. (Recall that if you miss a Homework Quiz then you are supposed to contact me and explain why so we can arrange to increase the weight of the final. Finals are risky so this is a good option if you have time)


    • Solved Problems:

    Much can be gleaned from the solutions linked below. Unfortunately, the numbering in these refers to James Stewart's Calculus and Concepts ed. 2. I have a copy in my office if you would like to look. Generally it is not an issue because I usually make a habit of writing enough in the solution so that the whole problem statement is clear.
    Homework Projects:

    It would be foolish to not look over these well before the due date. These can be tricky in places, sometimes I will help.



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    Last Updated: 8-18-08