## Beginning AlgebraMAT 090, 091, 092

### Linear

• Simplifying expressions
• Solving equations with one variable
• Solving inequalities
• Using formulas and solving literal equations
• Graphing equations
• Slope
• Function definition and notation

• Graphing
• Substitution
• Elimination

### Polynomials

• Rules of exponents
• Operations with polynomials

### Factoring Techniques

• GCF
• Trinomials
• Difference of squares

## Intermediate AlgebraMAT 120, 121, 122

### Solve Inequalities

• Compound
• Absolute Value
• Factoring Techniques
• Cubes

### Rational Functions

• Expressions
• Equations

• Expressions
• Equations

• Discriminant
• Completing the square
• Complex Solutions
• Graphing

### Optional Topic

• Exponential and logarithmic functions

## College MathMAT 142

#### Probability

• Counting principles
• Distributions
• Dependent and independent events

#### Statistics

• Measures of central tendency
• Measures of dispersion
• Linear regression
• Sampling methods
• Statistical inference

• Interest
• Amortization

• Growth
• Decay

#### Other Topics (Choose some, others are optional)

• Linear programming
• Geometry
• Logic
• Systems
• Sequences and series
• Problem solving techniques
• Voting theory and appointment
• Graph theory
• Game theory

## College AlgebraMAT 150, 151, 152

#### Functions

• Domain and range
• Graphing
• Composition

#### Complex Numbers

• Basic operations

#### Polynomial Functions

• Zeros
• Remainder and factor theorem
• Graphing

• Graphing
• Applications

#### Inverse Functions

• 1-to-1
• Domain and range

#### Exponential and Logarithmic Functions

• Graph
• Simplify expressions
• Convert
• Solving

#### Systems

• Linear and/or non-linear
• Applications
• Inequalities
• Matrices

#### Optional Topics

• Sequences and series
• Conic sections
• Combinatorics

## Pre-CalculusMAT 187

#### Functions

• Domain and range
• Graphing
• Composition

#### Complex Numbers

• Basic operations

#### Polynomial Functions

• Zeros
• Remainder and factor theorem
• Graphing

• Graphing
• Applications

#### Inverse Functions

• 1-to-1
• Domain and range

#### Exponential and Logarithmic Functions

• Graph
• Simplify expressions
• Convert
• Solving

#### Trigonometric Functions

• Measuring angles using degrees and radians
• Use the unit circle to define trig functions
• Use right triangles to define trig functions
• Graphs
• Inverse trig functions (including domains and ranges)
• Solving trig equations
• Applications

#### Other Topics in Trigonometry (Not Optional)

• Verifying trig identities
• Law of sines
• Law of cosines
• Introduction to vectors
• Optional Topics
• Systems
• Linear and/or non-linear
• Applications
• Inequalities
• Matrices
• Sequences and series
• Conic sections
• Combinatorics
• Introduction to limits
• Introduction to polar coordinates
• Introduction to parametric equations

## Statistics

The idea of the curriculum is to not be real specific in some areas. An example is with descriptive statistics, the course must have measures of central tendency, but the types of measures are not specified. This is similar in other areas, such as probability and what types of inferential statistics tests are conducted. Probability should be taught but deemphasised. The other suggestion is that calculations should be conducted using statistical software and not using calculators and definitely not by hand. z and t tables should not be used any more or at least limited use. The following are the topics that should be in each introductory statistics. Prerequisite should be a course that demonstrates mathematical maturity. These courses count as prerequisites: College Mathematics (or quantitative reasoning, or liberal studies mathematics), College Algebra, Precalculus or higher. Intermediate Algebra can be used but there may be problems with articulation.

#### Descriptive statistics

• Measure of central tendency
• Measure of variability

#### Probability

• Conditional
• Independence
• Mutually exclusive

• Binomial
• Normal
• Students t

#### Statistical literacy and the ability to read and interpret published results

• Practical interpretation of case study
• Ethical discussions of statistics

#### Inferential statistics

• Confidence interval
• Hypothesis test
• One sample and two sample
• Chi-squared

#### Regression and correlation

• Linear regression
• Correlation Coefficient
• Coefficient of determination

#### Optional

• Bootstrapping
• Monte carlo