3 MS 110

MS 110 -- Technical Calculus

Spring 2008:
Section B; 9:00 MWThF; B9D
Section C; 11:00 MTWF; 204B

Can you find the error here?
  1. Given A = B, now multiply by A:
  2. AA = AB, now change to A squared:
  3. A² = AB, now subtract B squared from each side:
  4. A² - B² = AB - B² , now factor:
  5. (A + B)(A - B) = B(A - B), then divide both sides by (A - B):
  6. [(A + B)(A - B)] / (A - B) = [B(A - B)] / (A - B), and cancel to get:
  7. A + B = B, since A = B, you can substitute B for A:
  8. B + B = B, then combine like terms:
  9. 2B = 1B, now divide by B:
  10. 2B / B = 1B / B, and, therefore, you have "proven"
  11. 2 = 1

Course Description: Differential and integral calculus of algebraic and transcendental functions. Applications, including physical problems, graphing and optimization. Basic integration, indefinite and definite integrals. The aim is to build fluency in these concepts. ("Fluency" means both accuracy and speed.) Prerequisite: Ms-101 or Ms-103 or equivalent. Rec. 4, Cr. 4.

Text: Technical Calculus, by Peter Kuhfittig

Calculators: Modern pocket calculators can do all of the work in this class, and may be an aid to you. However, unless you want your calculator to pass and you to fail, you have to learn the material yourself. There may be quizzes and tests where you will not be allowed to use a calculator. There will also be computerized help programs that you are encouraged to use.

Look here to see what you need for MS 110.

Extra Help: Don't wait too long to ask for help if you think you need it! My schedule is posted on the door of my office (101 Windlass House). My email address is sarna@mma.edu my telephone is 326-0796 (796 on campus), and my home page is http://bell.mma.edu/~sarna

Plagiarism: is a fancy word for cheating. By any name, cheating will not be tolerated.

Homework: All odd numbered exercises unless specifically told otherwise. (Answers for these are in the back of the book.)

If I'm Late: If I'm later than 10 minutes for the start of a class, I've been waylaid, mislaid, or need first aid. Assume the class has been canceled for the day.

Course Goals:

  1. To enhance the student's knowledge and appreciation of mathematics.
  2. To prepare the student with fluent abilities in those areas necessary for success in scientific and engineering courses.
  3. To prepare the student with the mathematics necessary for success in other subjects.

Course Performance Objectives:

As evaluated by performance tests,

  1. 90% of the students will be able to find simple differential rules, given flash cards with questions, at a rate of 50 per minute.

Grading and Examination Procedures: Grades are based on:

  1. At least two 100-point (each) exams will be administered for this course. It is expected that students missing an exam due to a conflict with watches will take a makeup exam at 1600 on the day of the scheduled exam. Other authorized absences will be handled on an individual basis.
  2. Unannounced quizzes, class participation, attendance, etc. will be averaged to count as one test..
  3. At some random time, your homework notebook may be checked.
  4. A two-hour Final Examination will count for 200 points (in other words, as two tests).

No assignments will be accepted in the last two weeks of class!

Note: The Final Exam Schedule is published on the MMA site early enough for you to make your travel plans accordingly. NO tests will be given at times other than those posted on the Final Exam Schedule.

TENTATIVE SCHEDULE

Week 1
introduction, review of precalc
Week 2
review of analytic geometry, etc.
Week 3
functions, limits
Week 4
introduction to derivatives, incl. polynomials
Week 5
instantaneous rates of change, differentiation formulae
Week 6
implicit differentiation, higher derivatives
Week 7
TEST, tangents and normals, 1st derivative test
Week 8
2nd derivative test, minima & maxima
Week 9
related rates, TEST
Week 10
antiderivatives
Week 11
the area problem
Week 12
fundamental theorem of calculus
Week 13
the integral
Week 14
review

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MMA Internal Page

Maine Maritime Academy Home Page.

Last modified: Wed Jan 9 09:24:39 EST 2008