MCP CALCULUS LAB MANUAL: Explorations through Technology

	The MCP project represents a major effort
	by several UNCW faculty in mathematics,
	physics and chemistry to revamp instructional
	methods in undergraduate science and
	mathematics education. The Table of Contents
	for the calculus lab manual is shown below.
	Gabriel Lugo lugo@cms.uncwil.edu
	Russell Herman herman@cms.uncwil.edu
	Copyright ©1992, 1995

Download Latex DVI file

Table of Contents

Answer sheets are included for some labs. These have been provided by Ms. Kathy Langone. Also, Ms. S. Daniels provided a nice salute to a goldfish.

• lab01 MathCAD
• • MathCAD
  • Getting Started in MathCAD
• lab02 Limits
• • Limits of Functions
  • Two Important Limits
• lab03 Differentiation
• • Numerical Differentiation
  • Second Derivative
• lab04 Euler's Method
• • Theory
• lab05 Fitting Data to Straight Lines
• • Linear Relationships
  • The Method of Least Squares
• lab06, The Expanding Universe 
• • The Hubble Effect
• lab07 Uniform Acceleration
• • Theory
  • Distance vs. Time Experiments
• lab08 Straightening Quadratic Functions
• • Quadratic Functions
  • Interpolation
• lab09  Motion on an Inclined Plane
• • Cylinder Rolling on an Inclined Plane
  • Transfering Data to MathCAD
  • Modeling
• lab10 Music of the Planets 
• • Kepler's Third Law
  • Power Laws
• lab11 Population Growth Model 
• • Malthusian Law of Population Growth
• lab12 The Rate of a Chemical Reaction
• • Kinetics of a First Order Reaction
  • Kinetics Experiment
  • Analysis
• lab13 Newton's Law of Cooling
• • The Law of Cooling
  • Two Cooling Experiments
  • Modeling Newton's Law of Cooling
• lab14  Logistic Growth
• • The Logistic Law of Population Growth
  • Differentiating Data
• lab 15 Finding Your Roots 
• • The Method of Bisection
• lab16, Newton's Method and the Hydrogen Atom 
• • The Radial Wave Function
  • Roots by Zooming Method
  • Roots by Newton's Method
  • The Radial Probability Function
• lab 17 All in the Family
• • Families of Curves
• lab18 Numerical Integration and Probability
• • Probability Distributions
  • Probability and Numerical Integration
• lab 19 Numerical Integration of Functions
• • Approximating Integrals
  • Euler's Method
  • The Trapezoidal Rule
  • Simpson's Rule
• lab 20 Integrating Data
• • A Change of Perspective
• lab 21 Simple Harmonic Oscillator
• • The Simple Pendulum
  • Pendulum Experiment
• lab 22 Damped Oscillations
• • The Mechanical Spring
  • Mass-Spring Experiment
• lab23 Improper Integrals 
• • The Computation of Improper Integrals
  • Method of Computation
• lab24 Average Molecular Speeds
• • Average Molecular Speeds
• lab25 Dangerous Curves
• • Parametric Curves
• lab26 Roses are Red ...
• • The Polar Coordinate System
• lab 27 Polar Integration
• • Introduction
• lab 28 Newton's Method
• • Newton's Method
  • The Secant Method
• lab29 Iterative Methods
• • Fixed Point Iterations
• lab30 Easy as Pi
• • The Search for
  • Series Approximations
• lab31 Exploring Geometric Series
• • Geometric Series
• lab32 Function Approximation
• • Taylor's Theorem
  • Computing Higher Order Derivatives
• MBL
• • Connecting the MBL Unit to a PC
• Keeping Records
• • Notebooks
  • Graphs
• Description of Lab Reports
• • What is a Lab Report?
• MathCad Help
• • Two Dimensional Graphs
  • Reading Data Files
  • Linear Regression
• Standard MathCAD Units

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Gabriel G. Lugo, lugo@uncwil.edu
Russell L. Herman, hermanr@uncwil.edu
Last updated May 31, 1999