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Math 223: Analytic Geometry - Calculus III; Spring 2025.




Instructor: Dr. Stefan Forcey Textbook: Required: Calculus Early Transcendentals, J. Stewart, edition 9E.

Course Syllabus.
The syllabus will include information about grading policies, exam schedules and policies, etc.


Schedule

Homework and Quizzes
Homework problems will be posted here. Homework will be assigned but usually NOT graded.
However we will have a quiz almost every week, and the quiz problems will be either exactly or almost exactly right off the homework.
No makeup quizzes will be given, but 15 quiz/homework points will be dropped.

  • Homework 1: Not to be turned in. Quiz 1 based on these problems: Jan 17 (take home, Due Tues. Jan 21).
    • 12.1: 1, 3, 5, 7, 9, 11, 13,
    • 12.2: 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 27
    • 12.3: 3, 5, 7, 9, 17, 23, 31 (challenge), 39, 41, 43

  • Homework 2: Not to be turned in. Quiz 2 based on these problems: Jan. 24 (take home, Due Tues Jan. 28).
    Notes on lines and planes.
    Examples: intersection of two planes.
    Example: finding normal vectors.
    • 12.4: 1, 3, 13, 27, 29, 31,
    • 12.5: 3, 5, 7, 11, 13, 23, 25, 27, 33, 35, (challenge: 40)

  • Homework 3: Not to be turned in. Quiz 3 based on these problems due Feb. 4.
    • 12.6: 3, 5, 7, 21, 23, 25, 27
    • 13.1: 7, 9, 11, 17, (challenge 47, 48)
    • 13.2: 3, 9, 10, 13, 17, 18, 23, 25

  • Homework 4: Not to be turned in. Quiz 4 based on these problems due Feb. 11.
    • 13.3: 1, 3, 17, 21, 23, 25, 27, 29, 39
    • 13.4: 3, 5, 11, 19, 37, 39, (challenge 45)

  • Homework 5: Not to be turned in.
    • 14.1: 7, 9, 11, 13, 35, 43, 47
    • 14.2: 3, 4, 5, 7, 9, 10, (challenge 24)
    • 14.3: 4, 11, 15, 17, 19, 21, 31, 33, 37, 41, 43, 47, 49, 53, 63, 65

  • Homework 6: Not to be turned in.
    gradient example
    • 14.4: 1-5, 11, 15, 19 (challenge 42)
    • 14.5: 1-5, 13
    • 14.6: 1, 5, 6, 7, 9, 11, 21, 23 (challenge 35)

  • Homework 7: Not to be turned in. Quiz based on these problems.
    • 14.7: 1,2,3,5,7,11,13,14,17,22,23,45,46
    • 14.8: 3, 4, 5, 6, 7, 9

  • Homework 8: Not to be turned in. Quiz based on these problems: 3/17 (take home, Due Mon. 3/20).
    • 15.2: 3,5,7,9,15,21,25
    • 15.3: 1,3,7,11,13,15,19,25,29,49,51,52

  • Homework 9: Not to be turned in.
    • 15.4: 1-5, 7, 9, 11, 12, 19, 29
    • 15.7: 3, 5, 6, 7, 8, 9, 13, 14, 15, 16 (Since there are many, you
      may decide to make some even ones "Set up only" and check them via wolfram alpha.)
    • 15.8: 1, 9, 15, 17, 19, 29
    • 15.9: 1, 3, 9, 11, 17
    Test 2 ends here.
  • Homework 10: Not to be turned in. Quiz based on these problems.
    • 16.1: 1, 3, 11, 12, 13, 21, 24, 25
    • 16.5: 1, 3, 7, 11, 13, 14, 15, 17

  • Homework 11: Not to be turned in. Quiz based on these problems.
    • 16.2: 7, 8, 14, 15, 17, 19, 21
    • 16.3: 1, 3, 5, 7, 12, 13, 15
    • 16.4: 1, 3, 7, 9, 12, 13
  • Homework 12: Not to be turned in. (Some of these problems will be on the test review).
    • 16.8: 7, 9, 11, 17

    RESOURCES:
    Here's the link to the text website .
    Here is the student solution manual (buy or rent)
    ..and the study guide .


    Tutoring:
    In Bierce, lower floor, there will also be available general tutoring hours .

    For integration, you can't beat wolfram alpha , now providing 3d graphs of surfaces while finding indefinite double integrals
    and definite double integrals .
    Step by step solutions are available too: 3 a day with free account signup.
    Here is another with e.
    Here is an example with variable limits (non-rectangular domain of integration ).
    Here is a triple integral.
    Here is one with polar coordinates .
    CREDIT:
    The text of this page was adapted, with permission, from an original course site by J.P. Cossey.