| Topic of interest |
Place(s) where examples can be found |
|
Know the
difference between the graphical, numerical, and theoretical/algebraic
methods for solving a problem, and be able to use each of these
appropriately. |
Homework 2
Other miscellaneous problems in homework |
|
Know the key
similarities and differences between difference equations and functional
equations. |
Homework 2 |
|
Be able to
compute the sequence of numbers generated by a difference equation. |
Homework 4
Homework 8 |
Linear models
- Know what the difference equation looks like
- Know what the functional equation looks like
- Be able to translate between the two descriptions
(functional -> difference, difference -> functional)
- Know what the graph looks like
- Be able to determine whether a set of data is
essentially linear by computing the first differences
- Be able to estimate the equation of a linear model
based on a set of data and/or a verbal description of the situation
|
Homework 5
Homework 6
Homework 10, part 1, step (a) |
Quadratic models
- Know what the difference equation looks like
- Know what the functional equation looks like
- Be able to translate freely between the two
descriptions (functional -> difference, difference -> functional)
- Know what the graph looks like
- Be able to check whether a set of data is
essentially quadratic by looking at the first and second difference
- Be able to
estimate a quadratic model, based on data and/or a description
|
Homework 8
Homework 9
Homework 10
Homework 11, part 1 |
Series (summation of a sequence of numbers)
- Be able to compute the sum of a sequence of numbers
that is linearly increasing and starts with term 1 of the sequence
- Be able to compute the sum of a sequence of numbers
that is linearly increasing and starts with a term other than term 1
- Be able to develop quadratic models from summing up
linear differences (for example, the computer network problem)
|
In class work on problems from page 110
Homework 8, selected problems
|
|
Proof: Be able
to complete a proof by induction |
Homework 7, in particular
Homework 11, part 2 |