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Math 125 Survey of Math
Survey of Math
COURSE GOALS/OBJECTIVES:
Exploration of algebraic and non-algebraic concepts with emphasis on observing closely, developing critical thinking, analyzing, & synthesizing techniques, improving problem solving skills, & applying concepts to new situations. Core topics are chosen from sets, logic, algebra and trigonometry, probability & statistics. Additional topics may be chosen from geometry, number theory, numeration, math systems, graph theory, voting and apportionment, and / or special topics.
Graphing calculators required.
Prerequisite: Math 99 or equivalent with a grade of "C" or better.
COURSE CONTENT:
Basic Categories
Sets--Chapter 2
2.1--Symbols and Terminology
2.2--Venn Diagrams and Subsets
2.3--Set Operations and Cartesian Products
2.4--Cardinal Number and surveys
Logic--Chapter 3
3.1--Statements and Quantifiers
3.2--Truth Tables and Equivalent Statements
3.3--The Conditional and Circuits
3.4--More on the Conditional
3.6-- Analyzing Arguments with Truth Tables
Algebra--
Selected Sections from Chapter 8 or Chapter 10 needed for an Intermediate Algebra prerequisite.
Instructors may choose from 8.6:Exponential and Logarithmic Functions,Applications; 8.7:Systems of Equations and Applications; 8.8:Linear Inequalities, Systems, and Linear Programming; or cover 10.4 - 10.6 Right Triangle Trigonometry.
Once one of these topics is covered, the others do not have to be covered. For example, if one covered 8.8, then neither 8.6, 8.7,nor 10.4-10.6 need be covered.
Probability--Chapter 12 (required)
12.1-- Basic Concepts In Probability & Odds
12.2--Events Involving "Not" and "Or"
12.3--Events Involving :And" (Conditional Probability)
Statistics--Chapter 13 (required)
13.1--Frequency Distributions & Graphs
13.2--Measurements of Central Tendency
13.3--Measures of Dispersion
13.4--Measures of Position
13.5--Normal Distribution
13.6--Regression & Correlation
Other Category Selections Can Be Made From:
General Problem Solving--Chapter 1 (sections 1.1-1.4)
Logic--Chapter 3 (section 3.5)
Numeration & Math Systems--Chapter 4 (sections 4.1-4.6)
Number Theory—Chapter 5 (sections 5.4-5.5 & extension)
Geometry--Chapter 9 (sections 9.1-9.7)
Counting Methods--Chapter 11 (sections 11.1-11.5)
Graph Theory--Chapter 15 (sections 14.1-14.4
only in extended edition of text).
Voting and Appointment--Chapter 16 (sections 16.1-16.4 only in extended edition of text).
Required Textbook:
Charles Miller, Vern Heeren, John Hornsby, Mathematical Ideas 11th. Edition. Pearson, Addison Wesley. 2008
Recommended Links:
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