Leah Keshet's Math 102 Section 106 Fall 2013

Leah Keshet's Math 102 Section 106 Fall 2013

Review Problems to work on


Useful links

  • Math 102 Wiki Site, 2013
  • Mathsheet a free math spreadsheet created by Bill Casselman and David Austin.
    Here are a few screencast tutorials to show you how to use Mathsheet.
    • Tutorial 1: How to plot a function using Mathsheet
    • Tutorial 2: Using absolute and relative cell references
    • Tutorial 3: Using the spreadsheet to do calculations and making your plot fancier
    • Tutorial 4: The wagon wheel problem (will be posted here after WW2 due date)
    • Tutorial 5: How to log in and save your work on Mathsheet. You'll also need this information about your UserID (Name) and Password.
    • Tutorial 6: How to fit a straight line y=ax+b through data (Uses bestfitline comand).
    • Tutorial 7: How to load data into mathsheet using Import. NOTE: in order to be able to paste data from your clipboard into the Mathsheet import window, you may need to enable this feature by following the steps described here. You may find it helpful to use this formatted data for Webwork6 Problem 22.
    • Here is Data formatted for Mathsheet upload for WebWork 8 Problem 36
  • Calculus Demonstrations (by David Austin)
  • Demos from previous years (by David Austin)
  • Scale free network applet and here is one more.
  • Where can I go for help?? Try the Mathematics Learning Center (MLC)

Ongoing errors/typos in the Leah's Course Notes

Here is the latest copy of Keshet Course Notes with typos highlighted and comments about improvements needed for next draft. (This file will be updated as typos are found.)

What are we learning in class?

Below are a set of notes from the actual lectures, with some annotations, edits, and some steps filled in that we did not have time to write during class.

Dates Topics Scanned material
Class notes, Learning goals,
Hints
Sept 4 Cell size
Volume, area
Power functions
Lecture 1, Sept 4, 2013
Sept 6 Generalizing concept S:V ratio
Power fns, cont'd
Even and odd symmetry
Lecture 2, Sept 6
Sept 4-9 LEARING GOALS
LG's, Sept 4-9
Sept 9 Shape of simple polynomial
Rational functions
(Michaelis-Menten and Hill)
Beginning of Chapt 2
Lecture 3, Sept 9
Sept 9-12 Homework Hints
for Webwork 1
HW Hints
Sept 11
Average and instantaneous rate of change
Lecture 4, Sept 11
Sept 13
Limits and Continuity
Lecture 5, Sept 13
Sept 16
Derivatives, Zoom and Tangent Lines
Lecture 6, Sept 16
Sept 12-20 LEARING GOALS
LG's, Sept 12-20
Sept 20
Product and quotient rules
Antiderivatived of power functions
Application to falling ball
The motion of Listeria, a pathogen
Lecture 7, Sept 20
Sept 23 Sketching f'(x) when given f(x) and vice versa
What the derivative tells us about a function
A HARD tangent line problem
Lecture 8, Sept 23
Sept 25 What the derivative tells us about a function (cntd)
Critical points and inflection points
How to solve dy/dt=v on a spreadsheet (given v(t))
Lecture 9, Sept 25
Sept 27 Sketching a graph using calculus tools
Critical points and inflection points
Lecture 10, Sept 27
Sept 30 Absolute (global) minima and maxima Lecture 11, Sept 30
Sept 3 - Oct 2 Learning Goals Link to LG's
Oct 2 Review Lecture 12, Oct 2
Oct 4 Kepler's Wedding
A (wine) optimization problem
You may find this Link interesting
Lecture 13, Oct 4
Oct 7 Optimal Foraging
Lecture 14, Oct 7
Oct 9 Minimizing Least Squares
to find central trend in data
Lecture 15, Oct 9
Oct 11 Minimizing Least Squares
Fitting a line y=ax through data
Lecture 16, Oct 11
Oct 16 Chain Rule,
Relater Rates
and Implicit differentiation
Lecture 17, Oct 16
Oct 18 More Chain Rule,
and the ant trail problem
Lecture 18, Oct 18
Oct 21 Growth of HeLa cells and
The exponential function
See also: Biography of Henrietta Lacks
Lecture 19, Oct 21
Oct 23 Exponential and logarithm
Differential equation
Lecture 20, Oct 23
Oct 25 Exponential decay and
Age of Planet Earth
Lecture 21, Oct 25
Oct 28 Deriving the decay eqn
and an eqn for population growth
Lecture 22, Oct 28
Oct 30 More about exp and ln
Inverse functions, and
other matters
Lecture 23, Oct 30
Nov 1 Newton's Law of Cooling
(a.k.a. Murder Mystery)
Lecture 24, Nov 1
Nov 4 Review
Lecture 25, Nov 4
Nov 6 Differential Eqs
and Euler's Method
Lecture 26, Nov 6
Nov 8 Trigonometric Functions Lecture 27, Nov 8
Nov 13 Trigonometric Functions
and cyclid processes, cont'd
Lecture 28, Nov 13
Nov 15 The Escape Response
and inverse trig functions cont'd
Lecture 29, Nov 15
Nov 20 Addendum to Nov 15
Derivatives of inverse trig functions
Lecture 29Addendum, Nov 20
Nov 18 Linear approximation and
Newton's Method
Lecture 30, Nov 18
Nov 20 Linear approximations
Review and more examples
Lecture 31, Nov 20
Nov 22 Logistic Equation and
Slope fields
Lecture 32, Nov 22
Nov 25 Qualitative methods for
differential eqs, cont'd
Lecture 33, Nov 25
Nov 27 Law of Mass Action and
Disease dynamics
Lecture 34, Nov 27
Nov 29 Disease dynamics conclusion
and minireview of diff'l eqs
Lecture 35, Nov 29