Mathematica Competency for Calculus Courses
Students enrolled in the calculus sequence courses Math
75,76,77 and 81 at CSUF are expected to have basic competency in
Mathematica. Students will see demonstrations in each course
that use Mathematica and will be expected to use Mathematica
themselves as an exploratory tool in each course.
Students will
be comfortable with the following:
Math 75: Mathematical Analysis I
- arithmetic calculations in Mathematica
- use of variables and assignment
- solving equations
- defining functions, evaluating functions
- plotting real-valued functions of one variable
- limits of functions of one variable
- derivatives of functions
Math 76:Mathematical Analysis II
- integration of functions with Mathematica
- numerical integration
- Taylor series using the Series command
- solving equations, substitution commands
- tables and lists
- parametric plots and polar plots
Math 77: Mathematical Analysis III
- vector operations, vectors as lists
- parametric plot of curves in the plane and space
- plots of surfaces z=f(x,y), contour plots
- plots of surfaces given parametrically
- partial derivatives
- finding and classifying extrema
- multiple integrals
- plotting vector fields
- div, grad, curl
- line integrals, surface integrals
Math 81: Applied Analysis
- using DSolve
- series solutions with Mathematica
- linear algebra, matrices, linear systems
- some special functions
- Fourier series
- Laplace transform, inverse Laplace transform
Examples of the use of Mathematica for all of these expectations
are included at the end of the 1999 Mathematica Mystery Tour
workbook which is available in the Kennel Bookstore.
Examples are also available here in several forms:
Mathematics Department Homepage
Dr. Cleary's Homepage
Questions? E-mail:
sean_cleary@csufresno.edu