Beginning Algebra
MAT 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

2×2 Systems

  • Graphing
  • Substitution
  • Elimination

Polynomials

  • Rules of exponents
  • Operations with polynomials

Factoring Techniques

  • GCF
  • Trinomials
  • Difference of squares

Intermediate Algebra
MAT 120, 121, 122

Solve Inequalities

  • Compound
  • Absolute Value
  • Factoring Techniques
  • Advanced
  • Cubes

Rational Functions

  • Expressions
  • Equations

Radical Functions

  • Expressions
  • Equations

Quadratic Functions

  • Discriminant
  • Completing the square
  • Quadratic formula
  • Complex Solutions
  • Graphing

Optional Topic

  • Exponential and logarithmic functions

College Math
MAT 142

Probability

  • Counting principles
  • Distributions
  • Dependent and independent events

Statistics

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

Finance

  • Interest
  • Amortization

Exponential Modeling

  • 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 Algebra
MAT 150, 151, 152

Functions

  • Domain and range
  • Graphing
  • Composition

Complex Numbers

  • Basic operations

Polynomial Functions

  • Zeros
  • Remainder and factor theorem
  • Graphing

Rational Functions

  • 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-Calculus
MAT 187

Functions

  • Domain and range
  • Graphing
  • Composition

Complex Numbers

  • Basic operations

Polynomial Functions

  • Zeros
  • Remainder and factor theorem
  • Graphing

Rational Functions

  • 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

Graphical statistical methods

Probability

  • Conditional
  • Independence
  • Mutually exclusive

Distributions

  • Binomial
  • Normal
  • Students t

Central Limit Theorem

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

Feedback

Was this helpful?

Yes No
You indicated this topic was not helpful to you ...
Could you please leave a comment telling us why? Thank you!
Thanks for your feedback.

Post your comment on this topic.

Post Comment