Rose-Hulman - Department of Mathematics - Course Syllabus
MA102 - Differential Calculus - 2010-11

Description & Prerequisites Course Goals Texts and Other Materials
Course Topics Course Policies Links
last posted to site: 08/19/10  

Parts of the web page to be completed or determined by the instructor are in green.

MA101 and MA102 combined are equivalent to MA111, except that more that usual attention is paid to review and practice. Depending on the class the amount of MA111 material covered will vary though it is expected that the italicized Course Goals, Course Topics, and perfomance standards, given below, will have been covered and that the MA102 topic to be covered will be seleced from the non-italicized topics. The instructors for MA101 and MA102 will collaborate on which set of topics will be covered in each course.

Catalogue Description and Prerequisites

MA 102 Differential Calculus 5R-0L-3C W Pre: MA 101
Covers approximately the second half of MA 111, including the derivative, geometrical and physical applications of differentiation, and an introduction to integration and Fundamental Theorem of Calculus. Students who do not transfer to MA 101 in the fall quarter, but do not satisfactorily complete all of MA 111, may use their midterm grade in MA 111 for credit and grade in MA 101 and enter MA 102 at the beginning of the winter quarter. 

Prerequisite: It is assumed that the student has a mastery of high school algebra, pre-calculus and trigonometry concepts.

Course Goals

  1. Introduce students to differential calculus topics not covered in MA101 from section 1 below in Topics Covered.
  2. Iintroduce students to the application of differential calculus in science and engineering not covered in MA101; see topic 2 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 in Performance Standards below.
  5. Develop student ability to communicate mathematically.
  6. Introduce applications of mathematics, especially to science and engineering.

Textbook and other required materials

Textbook: Thomas' Calculus - Early Transcendentals Twelfth Edition - Weir, Hass
Supplement: Just in Time - bundled with text.
Computer Usage:  Maple14 must be available on your laptop

Course Topics

  1. Differentiation
  2. Applications of Derivatives
  3. Integration

Course Requirements and Policies

The following policies and requirements will apply to all sections:

Computer Usage

A summary of the computer policy page:

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/Final Exam Policy

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

  1. Differentiate polynomials, exp(x), ln(x), sin(x), cos(x), tan(x), sec(x), arcsin(x), and arctan(x) with respect to x, and linear combinations of these functions.
  2. Be able to apply the product, quotient and chain rules for simple, routine differentiation problems.
  3. Be able to perform implicit differentiation.
  4. Be able to compute simple anti-derivatives and definite integrals applying linearity and involving polynomials, powers of x, 1/x, exp(x), sin(x), cos(x), (sec(x))^2, 1/sqrt(1-x^2), 1/(1+x^2) .

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

With regard to basic Maple commands, by the end of MA 102 every student should be able to

  1. Use Maple to do arithmetic calculations and function evaluations.
  2. Use the evalf command correctly and know when this is appropriate.
  3. Use the expand, simplify, and subs commands to manipulate algebraic expressions.
  4. Use the plot command to plot single or multiple functions and parametric curves, with appropriate scaling.
  5. Use the solve and fsolve commands.
  6. Use the diff and int commands.

Final Exam Policies

The following is an extract from the final exam policy page. Consult the policy page for complete details.

The final exam will consist of two parts. The first part will be "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, and interpretation.

Individual Instructor Policies

Your instructor will determine the following for your class: *Note that most instructors will enforce some type of grade penalty for students with more than four unexcused absences.


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