Intro to College Math


Critical Thinking Skills
  • Inductive Reasoning Skills
  • Estimation
  • Problem Solving
Sets
  • Set Concepts
  • Subsets
  • Venn Diagrams and Set Operations
  • Venn Diagrams with Three Sets
  • Verification of Equality of Sets
  • Application of Sets
  • Infinite Sets
Logic
  • Statements and Logical Connectives
  • Truth Tables: Negation, Conjunction and Disjunction
  • Truth Tables: Conditional and Biconditional
  • Equivalent Statements
Systems of Numeration
  • Additive, Multiplicative and Ciphered Systems
  • Place-Value or Positional-Value Systems
  • Other Bases
  • Computation in Other Bases
  • Early Computational Methods
Number Theory and the Real Number Systems
  • Number Theory
  • Integers
  • Rational Numbers
  • Irrational Numbers and the Real Number Systems
  • Real Numbers and Their Properties
  • Rules of Exponents
  • Scientific Notation
  • Arithmetic and Geometric Sequences
  • Fibonacci Sequence
Algebra, Graphs and Functions
  • Linear Equations in One Variable
  • Formulas
  • Applications of Linear Equations in One Variable
  • Variation
  • Linear Inequalities
  • Graph Linear Equations
  • Quadratic Equations
  • Quadratic Formula
  • Functions and Their Graphs
Personal Finance
  • Percent
  • Savings and Checking Accounts
  • Personal Loans and Simple Interest
  • Compound Interest
  • Installment Buying
  • Mortgages
Systems of Linear Equations and Inequalities
  • Systems of Linear Equations
  • Solve Systems by Addition and Subtraction
  • Matrices
  • Solve Systems by Using Matrices
The Metric System
  • Basic Terms and Conversions in the Metric System
  • Length, Area and Volume
  • Mass and Temperature
  • Dimensional Analysis and Conversions
Geometry
  • Points, Lines, Planes, Angles
  • Polygons
  • Perimeter and Area
  • Volume
Mathematical Systems
  • Groups
  • Finite Mathematical Systems
  • Modular Arithmetic
Probability
  • The Nature of Probability
  • Theoretical Probability
  • Odds
  • Expectations
  • Tree Diagram
  • "Or" and "And" Problems
  • Conditional Probability
Statistics
  • Sampling and Techniques
  • Misuse of Statistics
  • Frequency Distributions
  • Statistical Graphs
  • Measures of Central Tendency
  • Measures of Dispersion
  • The Normal Curve












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