James Cook's Calculus I with Analytic Geometry Homepage:

Useful Materials and Links:
Course Notes:
If you put all these together in a single pdf then the file is about 13Mb, I post that file in Blackboard since this website chokes on anything over 10 Mb.
  1. Introduction and a little math history, Chapter 2: fundmentals of algebra and functions, Chapter 3: limits and continuity.
  2. Chapter 4: differentiation.
  3. Chapter 5: linearization and Newton's method, and Chapter 6: geometry and calculus including Taylor's Theorem.
  4. Chapter 7: the area problem and integration and Chapter 8: the infinitesimal method, areas, volumes: applications of integration.
Warning: these notes do not linearly correspond to the required course text. However, for your convenience there is a table in the syllabus which provides an approximate day by day reading guide for the course. For your convenience I suggest you print the pdf in Blackboard. If you get it done double-sided, grayscale, nothing too fancy then I think you can bind a copy for about $10. (printing services is hopefully cheap, I think you can submit your request online and get it in a day or two.)


Test Reviews:
I believe these are mostly to the point, note that I made promises to the Fall 2010 course, the absolute statements in the reviews below do not apply to your course. I am free to make the test's focus on whatever I choose. This freedom is practiced by most instructors but seldom stated explicitly as I have here. I would encourage you to consider what is said in class. I sometimes indicate future events by my enthusiam in certain discussions. In any event, these reviews are fairly comprehensive, enjoy.
These Tests are from Fall 2010:

These are solutions of the Tests from Fall 2010:
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.

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. Solutions to the many of these homeworks are linked below the table. These are not collected, however if I were you I'd do as many as I needed to understand the material.

Section # Solution . Assignment Content of Assignment Description / Hints
Sec. 1.1 . . H1 2, 8, 28, 30, 45, 50, 56, 64, 65 equations and models (p.21)
Sec. 1.2 . . H1 1, 6, 7, 8, 9 functions and curve fitting (p.34)
Sec. 1.3 . . H1 3, 31, 59, 63, 65, 66 manipulating functions and their graphs (p.46)
Sec. 7.1a . . H2 1, 2, 11, 17, 21, 22, 23, 25 inverse functions (p.391)
Sec. 7.6a . . H2 1, 2, 10, 11 inverse trig functions (p.461)
Sec. 7.2a . . H3 1, 2, 10, 17 exponential functions (p.402)
Sec. 7.3a . . H4 1, 2, 8, 11, 17, 27, 28 logarithmic functions (p.409)
Sec. 7.7a c2.4.10 . H5 1, 3, 7, 11, 13, 26 hyperbolic functions (p.468),(hint: for 26 see Example 3 p.466-467)
Sec. 2.2 . . H6 2, 6, 14, 25, 26, 27, 40 limits (p.74)
Sec. 2.3 . . 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 . . H7 15, 19, 24, 44 technical limits (p.96)
Sec. 2.5 . . H8 1, 2, 4, 6, 32, 40, 42, 45, 48, 55 continuity (p.106)
Sec. 3.1 . . H9 4, 6, 10, 14, 16, 32, 33 definition of derivative at a point, tangent lines (p.121)
Sec. 3.2 . . H10 3, 41 derivative as a function (p.131)
Sec. 3.3 . . H11 23, 25, 27, 35, 43, 49, 57 level-1 derivatives involving linearity, product, quotient rules (p.144)
Sec. 3.3 . . H12 61, 71, 79, 83, 85, 96 level-2 derivatives plus concepts (p.144)
Sec. 3.4 . . H13 1, 3, 5, 7, 11, 15 derivatives of sine and cosine and their products, reciprocals etc... (p.154)
Sec. 3.5 . . H14 1, 3, 5, 7, 9, 13, 15, 17, 23, 25 level-1 chain rule for composite functions (p.160)
Sec. 3.5 . . H15 41, 43, 48, 59, 87 level-2 questions on chain rule (p.160)
Sec. 3.6 . . H16 5, 7, 13, 23, 45, 53 implicit differentiation and some (p.169)
Sec. 7.2b . . H17 31, 33, 37, 39, 43, 49 derivatives involving exponential functions (p.402)
Sec. 7.4a . . H18 3, 7, 11, 13, 17, 25 level-1 derivatives of logarithms (p.419)
Sec. 7.6b . . H19 19, 29, 31 derivatives of inverse trig functions (p.461)
Sec. 3.8 . . H20 1, 15, 43 related rates (p.186)
Sec. 3.9 . . H20 1, 11, 19 linearizations and differentials (p.191)
Sec. 4.1 . . H21 29, 31, 33, 35, 45, 72 extreme values (p.211)
Sec. 4.2 . . H21 1, 5, 11 Rolle's Theorem, Mean Value Theorem (p.219)
Sec. 4.3 . . 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 . . H23 5, 19, 21, 23, 43, 71 optimization (p.262)
Sec. 7.6c . . H23 47 optimization (p.461)
Sec. 4.5 . . H24 9, 13, 42 the big picture (p.248)
Sec. 4.4 . . 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 . . H26 3, 15 the area problem (p.298)
Sec. 5.2 . . H26 21 definition and properties of the definite integral (p.310)
Sec. 4.9 . . H27 1, 3, 5, 7, 9, 11, 13, 15, 17, 41, 45 antiderivatives (p.279)
Sec. 5.3 . . H28 15, 19, 21, 23, 25, 27 Fundamental Theorem of Calculus (FTC)(p.321)
Sec. 5.3 . . H29 29, 31, 33, 37, 45, 69, 71, 73 Fundamental Theorem of Calculus (FTC)(p.321)
Sec. 5.5 . . H30 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 u-substitution (p.338)
Sec. 5.5 . . H31 35, 37, 39, 41, 43, 45, 47, 49 u-substitution (p.338)
Sec. 5.5 . . H32 59, 63, 64, 65, 67, 69, 71, 73, 75, 77, 79, 81 u-substitution (p.338)
Sec. 7.2d . . H33 73, 77, 79, 81 integrals involving exponential function, some problems need u-substitution technique here. (p.404)
Sec. 7.4c . . H34 69, 71, 73, 79 integrals that yield logarithms, some problems need u-substitution technique here. (p.421)
Sec. 7.6d . . H35 63, 65, 69, 71 integrals that yield inverse trig. functions, some problems need u-substitution here. (p.462)
Sec. 6.1 . . H37 5, 7, 9, 11, 13, 19, 21, 29, 49 areas bounded by curves (p.352)
Sec. 5.4 . . 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 . . H38 1, 3, 5, 7, 9, 49, 51, 53, 57, 65, 70 volumes by the slice (p.362)
Sec. 6.3 . . H39 5, 7, 9, 11, 46 volumes by the shell (p.368)
Sec. 7.8 . . H40 5, 11, 13, 15, 19, 21, 25, 27, 43 L'Hopital's Rule (p.478)
Sec. 7.8 . . H41 49, 55, 59, 63, 85, 93, 94 L'Hopital's Rule (p.478)


  1. function basics
  2. inverse function
  3. spacer.
  4. families of functions
  5. composites and inverses
  6. limits graphical and numerical tinkering, incomplete
  7. on limits and algebra
  8. epsilon/delta example, discontinuous fit
  9. derivatives by the limit definition
  10. graphs and df/dx, power rule basics
  11. product and quotient rule
  12. fitting curves and horizontal tangents
  13. trig. derivatives includes products and quotients
  14. chain rule part 1
  15. chain rule part 2, includes sine in degrees discussion
  16. implicit differentiation, orthogonal trajectory, related rates
  17. interesting derivatives
  18. chain rule part 3
  19. logarithmic differentiation
  20. related rates
  21. critical numbers, graphing, closed interval method
  22. concavity, graphing with calculus
  23. optimization
  24. graphing with calculus
  25. limits at infinity
  26. areas from finite sums
  27. basic indefinite integrals, some graphs
  28. FTC parts I and II
  29. definite integrals
  30. integration by substitution; u-substitution
  31. u-substitution
  32. u-substitution
  33. u-substitution
  34. integrals of some simple reciprocals
  35. integrals which work out to inverse trig functions
  36. total change and integration
  37. areas bounded by curves
  38. volumes by the slice
  39. volumes by the shell
  40. LHospital's Rule, fractions and products
  41. LHospital's Rule, indeterminant powers
Chain Rules Problems to build skill:

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Last Modified: 8-6-16