







Calculus I  IV Mathematica Labs






Organization:  Rochester Institute of Technology 
Department:  Department of Mathematics & Statistics 
Organization:  Rochester Institute of Technology 
Department:  Department of Mathematics & Statistics 






College






Calculus I  IV is a four quarter sequence of calculus courses covering the standard topics in single and multivariable calculus. These courses meet four hours per week for ten weeks. Professors Marcia Birken and Patricia Clark teach these courses using one class period per week in a teaching computer laboratory where they utilize Mathematica labs which they have authored. The remaining three classes per week are taught in a more traditional lecture format. Other faculty can use our labs as out of class assignments for their students. The purpose of the RIT Department of Mathematics & Statistics Virtual Library (where these labs are catalogued and accessible for download) is to provide a location for sharing teaching resources. Professors Birken and Clark created the Virtual Library under a small internal grant from the College of Science at Rochester Institute of Technology.






Calculus, 4th edition by Stewart, Brooks Cole (ITP)






The laboratories found in the RIT Department of Mathematics & Statistics Virtual Library cover topics from each of the four calculus courses. They follow the order of materials in Stewart's 4th edition of Calculus, the text for the course. These labs can be used in a variety of ways  to introduce a topic, to reinforce material presented in a lecture or as an outside assignment for students to use as a learning device. Students are most enthusiastic about the labs. Topics: Calculus I Derivative Calculus  Introduction to Mathematica
 Graphing
 Limits
 Derivatives
 Implicit Differentiation
 Related Rates
 Newton's Method
 First Derivative & Graphing
 Graphing  The Big Picture
 Optimization
Calculus II Integral Calculus  Introduction to Mathematica
 Area
 Directionfields
 Fundamental Theorem of Calculus
 Method of Substitution
 Volumes of Solids of Revolution
 Calculation of Work
 Inverse Functions
 Exponentials & Logarithms
 Trigonometric Functions & Inverses
 Integration by Parts
Calculus III Infinite Series, Polar & Parametric Equations  Introduction to Mathematica
 Advanced Integration Techniques
 Approximation of Definite Integrals
 Convergence of Integrals & Sequences (3 labs)
 Geometric Series
 Integral Test
 More Series Testing
 Taylor Series
 Parametric & Polar Equations
 Arc Length & Area
Calculus IV  Multivariable Calculus  Introduction to Mathematica
 Vectors, Lines & Planes
 Vector Vlued Functions & Space Curves (2 labs)
 Graphing & Partial Derivatives
 Maxima & Minima
 Double Integrals
 Triple Integrals












http://www.rit.edu/~mkbsma/mathematica/

