Math 122 - Calculus for Biology II
Spring Semester, 2006
Lab Index

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San Diego State University -- This page last updated October 15, 2004 by P. Salamon

Lab Index

Cover Page and Summary Page.

Lab 1

  • Review Lab Skills . Plot a function, find minima and maxima, solve equations.
  • Lab 2 (Help Page)

  • Optimal Volume . A box is formed from a rectangular piece of paper, and optimal dimensions are determined.
  • Optimal Foraging . A study of seagulls dropping clams is examined for optimal foraging strategies.

  • Lab 3 (Help Page)

  • Trigonometric Functions (C1). Differentiation and graphing are explored with two trig functions using Maple.
  • Graphing Trig Functions. Two cosine functions with different frequencies are summed together, and their graphs are explored.
  • Lab 4 (Help Page)

  • World Population (E2). Fitting the Malthusian growth model to the World population data.
  • Radiocarbon Dating (E3). Radioactive decay of 14C can be used to date ancient objects, using a simple linear differential equation.

    Lab 5 (Help Page)

  • Newton's Law of Cooling 1 (G2). Newton's law of cooling is applied to a situation where a cat is killed by a car.
  • Newton's Law of Cooling 2 (PS1). Newton's law of cooling is applied to find the temperature of an oven.
  • Lab 6 (Help Page)

  • Pollution in the Great Lakes (F3). A simple model for build up and removal of toxic substances from the Great Lakes is studied.
  • Lead Exposure in Children (H2). Differential equations are used to find the level of lead in children during their early years.
  • Lab 7 (Help Page)

  • Gravity and Integration. A ball is thrown up and falls under gravity. Rules of integration are investigated with Maple.
  • Flight of a Ball (H3). The flight of a ball in two dimensions is studied for optimal distance and angle of trajectory.

    Lab 8

  • Fitting parameters to differential equations
  • Lab 9

  • Euler's Method (F2-). Numerical solutions of three differential equations are studied.
  • Lab 10 (Help Page)

  • Model for Gonorrhea (I5). Euler's method is used to examine a model for the spread of gonorrhea.
  • Lab 11

  • Definite Integrals. Euler's method is compared to a left point rule for Riemann sums.
  • Lab 12

  • Practice Final

     

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