MATH 470 (Mathematics for Secondary Education)
| DESCRIPTION |
An advanced perspective on some of the core mathematics
underlying high school mathematics courses. Topics include number
systems, functions of one variable, equations, inequalities,
trigonometric functions, curve fitting, and polynomials. The
course includes an analysis of alternate approaches to mathematical
ideas and problems, and makes connections between ideas that may have
been studied separately in different high school and college courses.
|
| PREREQUISITES |
Math 140-141 and one 400 level Math course.
|
| TOPICS |
What is meant by "Advanced Perspective"
Average problems
Mixture problems
Number systems
Decimal representation
Rationals & decimals
Period, delays
Countability
Complex numbers
Operations, Polar form
Exponential form, product,
quotient, powers
DeMoivre's Theorem
Functions and equations
Catching up problem--Analysis
Properties of functions
Composition, inverse
Limit behavior
Classic box problem
Data analysis
Linear and exponential regression
(Fathom)
Trig functions and the unit circle
Definitions
Properties (proofs)
Identities
Law of Sines, Cosines
Law of Sines and a geometry proof
Curve fitting
Linear and exponential regression
Equality, inequality
The solving process
Solving inequalities
Table of signs
Inequalities and increasing or
decreasing functions
Averages of speeds (connection to different types of
means
Solving equations with cups and cubes, algebra tiles
Polynomials (Geller notes)
Division algorithm for Polynomials
Unique prime factorization for polynomials
Synthetic division
Descartes' Rule of signs
Factorization theorems, including Eisenstein's
Irreducibility Criterion
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| TEXT |
Text(s)
typically used in this course. |
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