
Leah Keshet's Math 102 Section 106 Fall 2013
Leah Keshet's Math 102 Section 106 Fall 2013
Review Problems to work on
 Math 102 Review Problems Set 1. Solutions available here.
 Math 102 Review Problems Set 2. Solutions available here.
 Some Review Screencasts
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 49 
LEARING GOALS 
LG's, Sept 49

Sept 9 
Shape of simple polynomial
Rational functions
(MichaelisMenten and Hill)
Beginning of Chapt 2

Lecture 3, Sept 9

Sept 912 
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 1220 
LEARING GOALS 
LG's, Sept 1220

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

