Department of Mathematics
Courses and Textbooks
Calculus I and II Laboratory Assignments
Dr. Raouf Boules, Dr. Geoff Goodson, Dr. Ohoe Kim, and Dr. Mike O’Leary have written a sequence of Mathematica based calculus laboratory exercises for the calculus sequence here at Towson University. These labs are self-contained, and consist of a sequence of examples and experiments to illustrate one or more mathematical concepts. These labs are an integral part of our calculus courses.
All of these laboratory exercises are accessible from our computer classrooms and Satellite Laboratory. To allow students to prepare for these laboratory exercises, we have created this page with links to web versions of each of our laboratories. Although the web versions of the laboratories are not complete Mathematica notebooks and so cannot be executed, they do contain all of the examples and experiments in a form that can be read by any web browser.
Laboratory 1 Basics of Mathematica
Laboratory 2 Functions, Dilations, and Symmetry
Laboratory 3 Limits of Functions
Laboratory 4 Slopes, Secant Lines and Tangent Lines
Laboratory 5 Tangent Lines and Derivatives
Laboratory 6 Related Rates
Laboratory 7 Maxima, Minima and the Derivative
Laboratory 8 Mean Value Theorem
Laboratory 9 Concavity
Laboratory 10 L'Hopital's Rule
Laboratory 11 Optimization
Laboratory 12 Newton's Method
Laboratory 13 Riemann Sums and Definite Integrals
Laboratory 14 Area Between Curves and Volumes of Solids of Revolution
Laboratory 15 Volumes of Solids
Laboratory 16 Fourier Approximations
Laboratory 16A Applications of Integration
Laboratory 17 Introduction to Numerical Integration
Laboratory 18 Improper Integrals
Laboratory 19 Arc Length and Surfaces of Revolution
Laboratory 20 Differential Equations
Laboratory 21 Modeling with Exponential Functions
Laboratory 22 Sequences and Series
Laboratory 23 The Integral Test
Laboratory 24 Taylor Series and Taylor Polynomials
Laboratory 25 Parametric Equations and Polar Coordinates
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