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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

  • Jan 13. Day one. (Jan 19: Last day to add.)
  • Jan. 20: No class on MLK day.
  • Chapter 12 : Vectors and Geometry of Space.
  • Chapter 13 : Vector Functions: Scalar input, vector output.
  • Jan. 26: Last day to drop.
  • Feb. 18: No class on Pres. day.
  • Chapter 14 : Partial Derivatives: Multivariable points as input, scalar output.
  • TEST 1 Midterm. Fri. Feb. 21 Chapter 13 Review questions and Chapter 14 Review questions
    also study quizzes and hw!
    Chp. 13 Review answers and Chp. 14 Review answers.
  • Mar. 2: Last day to w/draw.
  • Chapter 14 : Optimization
  • Chapter 15 : Multiple Integrals
  • TEST 2 Midterm.
  • Mar. 24-30: Spring break
  • Chapter 16 : Vector Fields: Multivariable points as input, vector outputs.
  • May 2: Last day.
  • TEST 3 Comprehensive Final Exam. TBA

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)

    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.