MATH 131 Section 1 and 4 Homepage

Welcome, please note that the offical syllabus for section 1 is linked here and the official syllabus for section 4 is linked here here . Please note this webpage is where test solutions and further assignments are to be posted. For your convenience, I have provided a few links to points further down this page. I plan to post solutions to the regularly assigned homework and the Homework Projects in Blackboard.



I. Course Contact Information:


II. Useful Materials and Links:



III. Additional Examples:
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.


IV. Test Reviews and Solutions:
I will post reviews and solutions for our course here once it's time.





V. Course Notes:
Lectures often closely follow these notes (I expect you to have a copy with you in lecture). Sometimes there is not time to say everything during class, I try to stick to the most important parts in lecture. We cover up through Chapter 8 in Stewart's Calculus. I interject Chapter 7 throughout the course rather than treat it separately.
(We start with Chapter 9 in calculus II, you only need through Chapter 8 for this course.)




VI. Bonus Point Policy:
It is possible to earn bonus points by asking particularly good questions or suggesting corrections to errors in notes and materials on the course website. This does not include spelling or grammatical errors, those are provided for your amusement.


VII. Homework Assignments:
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.

In my experience it is very rare for a student to neglect the homework and yet somehow succeed at this course. Homework makes up 15% of the total grade (generally 5pts per problem times about 300 problems means you can earn 1500+ points of the total 10,000pts for the course), but in truth homework will probably determine your overall success in this course. Calculus takes a lot of time for most people for a variety of reasons. It is not uncommon for a student to spend 2 hours a day studying outside class. You may not need that much time every day, but you should make arrangements if you are serious about this course. I am always happy to look over your derivations of homework during office hours. We do not meet officially on Friday, but perhaps it would be a good time for homework study groups to meet since you will have that common time free.

Hopefully you already avoid worse offenses listed in the documents below... I don't feel strongly about all these things but if you do a large subset of them it can't hurt. I do think orderly writing can help encourage orderly thinking.

  • Advice on formatting homework
  • more advice on how to make your homework neat

    • The homework assignments are 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.

    Please turn homework in with both the Assignment number proper labels for each problem. Multiple assignments should not be given on a single page. Homework with fuzzy edges is not accepted. Lined or unlined paper is acceptable, the key is overall the presentation should be easily followed and legible. Late homework is accepted but there may be a heavy penalty.

    Section # My Lecture Notes "Due Date" Assignment Content of Assignment Description / Hints
    Event c2 Aug 18 . Calculus Readiness Test. please read syllabus before class, ask any questions at beginning of class
    Sec. 1.1 c2.1, c2.2, c2.3 Aug. 31 H1 2, 8, 28, 30, 45, 50, 56, 64, 65 equations and models (p.21)
    Sec. 1.2 c2.4 Aug. 31 H1 1, 6, 7, 8, 9 functions and curve fitting (p.34)
    Sec. 1.3 c2.5 Aug. 31 H1 3, 31, 59, 63, 65, 66 manipulating functions and their graphs (p.46)
    Sec. 7.1a c2.6 Aug. 31 H2 1, 2, 11, 17, 21, 22, 23, 25 inverse functions (p.391)
    Sec. 7.6a c2.4.7 Aug. 31 H2 1, 2, 10, 11 inverse trig functions (p.461)
    Sec. 7.2a c2.4.8, c2.4.9 Sept. 4 H3 1, 2, 10, 17 exponential functions (p.402)
    Sec. 7.3a c2.4.8, c2.4.9 Sept. 4 H4 1, 2, 8, 11, 17, 27, 28 logarithmic functions (p.409)
    Sec. 7.7a c2.4.10 Sept. 4 H5 1, 3, 7, 11, 13, 26 hyperbolic functions (p.468),(hint: for 26 see Example 3 p.466-467)
    Sec. 2.2 c3.1 Sept. 7 H6 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. 9 H7 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. 9 H7 15, 19, 24, 44 technical limits (p.96)
    Sec. 2.5 c3.2, c3.3 Sept. 11 H8 1, 2, 4, 6, 32, 40, 42, 45, 48, 55 continuity (p.106)
    Sec. 3.1 c4.1 Sept. 11 H9 4, 6, 10, 14, 16, 32, 33 definition of derivative at a point, tangent lines (p.121)
    Event . Sept. 14 . Homework Project I due functions and limits
    . . Sept. 16 . Review for Test I day your questions, my hints.
    Event Test I Sept. 17 . 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. 21 H10 3, 41 derivative as a function (p.131)
    Sec. 3.3 c4.1, c4.2 Sept. 24 H11 23, 25, 27, 35, 43, 49, 57 level-1 derivatives involving linearity, product, quotient rules (p.144)
    Sec. 3.3 c4.1, c4.2 Sept. 25 H12 61, 71, 79, 83, 85, 96 level-2 derivatives plus concepts (p.144)
    Sec. 3.4 c4.3, c4.5, c4.6, c4.7 Sept. 28 H13 1, 3, 5, 7, 11, 15 derivatives of sine and cosine and their products, reciprocals etc... (p.154)
    Sec. 3.5 c4.8 Sept. 29 H14 1, 3, 5, 7, 9, 13, 15, 17, 23, 25 level-1 chain rule for composite functions (p.160)
    Sec. 3.5 c4.8 Sept. 30 H15 41, 43, 48, 59, 87 level-2 questions on chain rule (p.160)
    Sec. 3.6 c4.9 Oct. 1 H16 5, 7, 13, 23, 45, 53 implicit differentiation and some (p.169)
    Sec. 7.2b c4.4, c4.6, c4.7, c4.8 Oct. 5 H17 31, 33, 37, 39, 43, 49 derivatives involving exponential functions (p.402)
    Sec. 7.4a c4.9, c4.10 Oct. 6 H18 3, 7, 11, 13, 17, 25 level-1 derivatives of logarithms (p.419)
    Sec. 7.6b c4.9 Oct. 7 H19 19, 29, 31 derivatives of inverse trig functions (p.461)
    Event . Oct. 8-9 . . Fall Break
    Event . Oct. 12 . Homework Project II due differentiation
    Event . Oct. 12 . Review for Test II day your questions, my hints.
    Event Test II Oct. 13 . Sections 3.2, 3.3, 7.2b, 3.4, 3.5, 3.6, 7.4a techniques of differentiation
    Sec. 3.8 c5.1 Oct. 16 H20 1, 15, 43 related rates (p.186)
    Sec. 3.9 c5.2 Oct. 16 H20 1, 11, 19 linearizations and differentials (p.191)
    Sec. 4.1 c5.3 Oct. 20 H21 29, 31, 33, 35, 45, 72 extreme values (p.211)
    Sec. 4.2 c5.4 Oct. 20 H21 1, 5, 11 Rolle's Theorem, Mean Value Theorem (p.219)
    Sec. 4.3 c5.5 Oct. 23 H22 7, 9, 11, 13, 29, 40, 53 (please use sign charts to organize your arguments for these problems) derivatives and shape of graphs (p.227)
    Sec. 4.7 c5.8 Oct. 27 H23 5, 19, 21, 23, 43, 71 optimization (p.262)
    Sec. 7.6c c5.8 Oct. 27 H23 47 optimization (p.461)
    Sec. 4.5 c5.7 Oct. 29 H24 9, 13, 42 the big picture (p.248)
    Sec. 4.4 c5.6 Oct. 30 H25 3, 7, 9, 11, 19, 22, 25, 29(hint, use Eqn 2 of pg 129) limits at infinity (p.240), algebra and/or logic will resolve the indeterminancy.
    Sec. 5.1 c6.1 Nov. 3 H26 3, 15 the area problem (p.298)
    Sec. 5.2 c6.2 Nov. 3 H26 21 definition and properties of the definite integral (p.310)
    Sec. 4.9 c6.3 Nov. 4 H27 1, 3, 5, 7, 9, 11, 13, 15, 17, 41, 45 antiderivatives (p.279)
    Sec. 5.3 c6.4 Nov. 6 H28 15, 19, 21, 23, 25, 27 Fundamental Theorem of Calculus (FTC)(p.321)
    Sec. 5.3 c6.4 Nov. 9 H29 29, 31, 33, 37, 45, 69, 71, 73 Fundamental Theorem of Calculus (FTC)(p.321)
    Event . Nov. 9 . Homework Project III due applications of differentiation and foundations of integration
    Event . Nov. 9 . Review for Test III day your questions, my hints.
    Event Test III Nov. 10 . 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. 5.5 c7.2 Nov. 13 H30 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 u-substitution (p.338)
    Sec. 5.5 c7.2 Nov. 16 H31 35, 37, 39, 41, 43, 45, 47, 49 u-substitution (p.338)
    Sec. 5.5 c7.2 Nov. 17 H32 59, 63, 64, 65, 67, 69, 71, 73, 75, 77, 79, 81 u-substitution (p.338)
    Sec. 7.2d c7.2 Nov. 18 H33 73, 77, 79, 81 integrals involving exponential function, some problems need u-substitution technique here. (p.404)
    Sec. 7.4c c7.2 Nov. 19 H34 69, 71, 73, 79 integrals that yield logarithms, some problems need u-substitution technique here. (p.421)
    Sec. 7.6d c7.2 Nov. 19 H35 63, 65, 69, 71 integrals that yield inverse trig. functions, some problems need u-substitution here. (p.462)
    Sec. 6.1 c8.1 Nov. 20 H37 5, 7, 9, 11, 13, 19, 21, 29, 49 areas bounded by curves (p.352)
    Event . Nov. 23-27 . . Thanksgiving Break
    Sec. 5.4 c7.1 Dec. 2 H36 41, 48, 52, 55, 57, 67, 69, 71, 72 indefinite integrals (most general antiderivative), integrals as sums for computing net change (p.329)
    Sec. 6.2 c8.2 Dec. 2 H38 1, 3, 5, 7, 9, 49, 51, 53, 57, 65, 70 volumes by the slice (p.362)
    Sec. 6.3 c8.3 Dec. 2 H39 5, 7, 9, 11, 46 volumes by the shell (p.368)
    Event . Dec. 2 . Homework Project IV due u-substitution, areas and volumes
    Event . Dec. 2 . Review for Test IV day your questions, my hints.
    Event Test IV Dec. 3 . Sections 5.4, 5.5, 6.1, 6.2, 6.3, 7.2d, 7.4c, 7.6d basic integration and select applications
    Sec. 7.8 c9 Dec. 8 H40 5, 11, 13, 15, 19, 21, 25, 27, 43 L'Hopital's Rule (p.478)
    Sec. 7.8 c9 Dec. 9 H41 49, 55, 59, 63, 85, 93, 94 L'Hopital's Rule (p.478)
    Event . Dec. 9 . review for final exam Last day of classes
    Event Final Exam T.B.A. ( but will be on of the officially scheduled times for this course meeting time) . comprehensive, covers everything tested on Tests I,II,III and IV AND section 7.8 tests I, II,III,IV and 7.8




    VIII. Practice for Test and Foundational Problems (Homework Projects):
    Homework projects have essentially two types of problems:
    1. About 70% of the homework project problems are similar to homework already collected, these shouldn't take long to complete if you understood the assigned homework. These are good practice for the test.
    2. The other 30% require more thought and generally demand a longer attention span. These include such tasks as, proving the law of cosines, adding-angle formulas, etc... there is a particularly large concentration of these in the first Homework Project.
    There is a Homework Project paired with each test. The point value for each Homework Project is given below.
    1. [400pts]Homework Project I: click here for pdf of assignment
    2. [200pts]Homework Project II: click here for pdf of assignment
    3. [200pts]Homework Project III: click here for pdf of assignment
    4. [200pts]Homework Project IV: click here for pdf of assignment



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