Math 142 Calculus I 

MTWF 12:00 - 12:50


Book: Calculus: Single Variable by Hughes-Hallett, Gleason, McCallum et al. John Wiley and Sons 4th Ed. (2005)

We will cover Chapters 1-6.

Syllabus The syllabus explains what material we cover; how many exams there are and how you will be graded.

Homework This page will tell you what problems you are responsible for from each of the sections.

Worksheets and other assignments. Here are some of the assignments and solutions to quizzes and worksheets.

Tentative Schedule We have to cover 6 chapters and on this schedule you will see at what pace we will be approximately covering the material. There is a small amount of flexibility, hence the tentative schedule.




Applets

Preliminary material


A family of graphs This is a JCM applet designed to look at families of functions. It graphs functions that include the three parameters a, b, and c in their definitions. These parameters are controlled by sliders.  Moving the sliders lets you explore families of functions.

The Function Composition Applet is a JCM applet that links together the graph of two functions with the graph of the function defined by the composition of these two functions.

Continuity

The Epsilon Delta Applet is is a JCM applet designed for a visual exploration of the delta-epsilon definition of continuity. The user highlights an epsilon and delta band around a proposed limit of a function at a point.  It is easy to zoom in or out, and the applet has a nice collection of pre-set examples.


Differentiation

The Secant Tangent Applet was developed locally and is designed to explore how the tangent line can be considered as the limit of secant lines and how the slope of the tangent relates to the derivative of a function.  This applet also computes a numeric derivative and allows the users to plot their guess of the derivative for comparison

The JCM Secant Tangent Applet  also examines how secant lines converge to a tangent line.  It has a number of nice pre-loaded examples and nice graphics.

The First Derivatives Applet is a JCM applet that ties together the graph of a function with the graph of its first derivative.  (The function and its derivative are plotted in side by side windows.)  A slider moves synchronized points on the two graphs.

A JCM Second Derivative Applet ties together the graph of the function with the graphs of the first and second derivatives.  (The function and its first and second derivatives are plotted in side by side windows.)  A slider moves synchronized points on the three graphs.

The JCM Chain Rule Applet is a modification of the Function Composition Applet. It show that the derivative of the composition of functions is the product of the derivatives taken at the appropriate points

Integration

The Riemann Sums applet is designed for a visual exploration of Riemann sums and the relation of these sums to anti-derivatives.  It computes 6 different types of "Riemann sums", plots a numerical antiderivative, and allows users to plot their guess at the antiderivative for comparison.

The JCM Riemann Sums Applet also explores how Riemann sums converge to the definite integral.  It does not have all the features of the local applet, but the graphics are smoother and faster.

Taken from the "Math Applets at SLU" page.




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Last modified:  August 10, 2005