Calculus II - MA112-01

Winter 2002-03 - S. Allen Broughton

Course Guide and Syllabus


Course Information

Course Goals

  1. Introduce students to integral calculus (including elementary first order differential equations); see topics 1, 2 and 3 below in Topics Covered below for specific topics.
  2. Introduce students to the application of the integral calculus and differential equations in science and engineering; see topics 2 and 3 below in Topics Covered
  3. Develop student mathematical modeling and problem solving skills.
  4. Develop student ability to use a computer algebra system (CAS) to aid in the analysis of quantitative problems. This includes (but is certainly not limited to) mastery of the commands listed below in Performance Standards below.
  5. Develop student ability to communicate mathematically.

Major Topics Studied

  1. Integration---Basic Theory and Techniques
  2. Applications of Integration
  3. Differential Equations

Course Policies

Grading: The course grade will be based on four in-class tests, a final examination, assigned work, occasional quizzes, worksheets, some routine exercises from the text, and projects.

Exams: The tentative dates for the in-class tests are (you will have a one-week warning):

The time and place for the final examination will be announced during the quarter.

Projects: Some challenge problems and projects, to develop your ability in application, modeling and problem solving with the material in the course, will be given. These problems will be done as group work. Project rules will be given out with the first project. There are  1-2 projects of about one week's duration.

Final Grades: Various components of the course will contribute to the course point total as follows:
 

Tests (100 points each) 400
Final Examination 200
Homework, Worksheets, Quizzes and Projects 200
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Total 800
Group Work: Some class work and all of the projects will be done in teams. Attendance: You are to be in class and to be there on time. Following Rose�s policy on attendance, after 4 unexcused absences you will lose 5% for each additional unexcused absence.

Computer Policy: Students will be expected to demonstrate a minimal level of competency with a relevant computer algebra system. The computer algebra system will be an integral part of the course and will be used regularly in class work, in homework assignments and during quizzes/exams. Students will also be expected to demonstrate the ability to perform certain elementary computations by hand. (See Performance Standards below.)


Performance Standards
With regard to basic Maple commands, by the end of MA 112 every student should be able to:

  1. Use all Maple commands expected in MA 111.
  2. Use the int command to compute anti-derivatives.
  3. Use evalf with the Int command to approximate integrals numerically.

With regard to "by hands" computational skills, each student should

  1. Know all rules listed in the MA 111 document.
  2. Know anti-derivatives for xn, exp(x), 1/x, sin(x), cos(x), tan(x), 1/(x2+1), 1/sqrt(1-x2), cosh(x), and sinh(x) with respect to x, and linear combinations of these functions.
  3. Be able to use integration by parts, u-substitution, and partial fraction decomposition to evaluate simple integrals.
  4. Be able to solve simple separable first order ODE's.
  5. Stability diagrams.

These by-hands skills may be tested using in class quizzes.

Final Exam Policy: The final exam will consist of two parts. The first part will "by hands" (paper, pencil). No computing devices (calculators/computers) will be allowed during the first part of the final exam. This part of the exam will cover both computational fundamentals as well as some conceptual interpretation, though the level of difficulty and depth of conceptual interpretation must take into account that this part of the exam will be shorter than the second part of the exam. The laptop, starting with a blank Maple work sheet, and a calculator, may be used during the second part of the exam. No "cheat sheets", prepared Maple worksheets or prepared program on the calculator may be used. The second part of the exams will cover all skills: concepts, calculation, modeling, problem solving, interpretation.


Last Update  21 Nov 02