Standard syllabus
College algebra · Undergraduate · Math
Learning objectives from the College algebra syllabus, grouped by unit. Click an objective for study materials.
Topics typically covered
Click a topic for the full text and related unit practice.
Undergraduate College Algebra — scope drawn from OpenStax College Algebra 2e and OpenStax Algebra and Trigonometry 2e (prerequisite through functions chapters).
Algebraic foundations
- Real numbers, exponents, and radicals — Real numbers, exponents, and radicals
- Algebraic manipulation — Algebraic manipulation
- Linear equations and inequalities — Linear equations and inequalities
- Absolute value — Absolute value
Functions and graphs
- Functions: domain, range, composition, and inverses — Functions: domain, range, composition, and inverses
- Graphs of functions — Graphs of functions
- Transformations (shifts, stretches, reflections) — Transformations (shifts, stretches, reflections)
- Linear functions and slope — Linear functions and slope
- Modeling with lines — Modeling with lines
Polynomial and rational functions
- Quadratic functions — Quadratic functions
- The quadratic formula — The quadratic formula
- Polynomial functions: zeros, division, and the factor and remainder theorems — Polynomial functions: zeros, division, and the factor and remainder theorems
- Rational functions — Rational functions
- Partial-fraction ideas — Partial-fraction ideas
Exponential and logarithmic functions
- Exponential functions — Exponential functions
- Their properties — Their properties
- Logarithmic functions — Logarithmic functions
- Solving exponential/log equations — Solving exponential/log equations
Systems and inequalities
- Systems of linear equations in two and three variables — Systems of linear equations in two and three variables
- Systems of inequalities and linear programming (introduction) — Systems of inequalities and linear programming (introduction)
Learning objectives
Click an objective for study materials.
Algebraic foundations
- Real numbers, exponents, and radicals — Real numbers, exponents, and radicals
- Algebraic manipulation — Algebraic manipulation
- Linear equations and inequalities — Linear equations and inequalities
- Absolute value — Absolute value
Functions and graphs
- Functions: domain, range, composition, and inverses — Functions: domain, range, composition, and inverses
- Graphs of functions — Graphs of functions
- Transformations (shifts, stretches, reflections) — Transformations (shifts, stretches, reflections)
- Linear functions and slope — Linear functions and slope
- Modeling with lines — Modeling with lines
Polynomial and rational functions
- Quadratic functions — Quadratic functions
- The quadratic formula — The quadratic formula
- Polynomial functions: zeros, division, and the factor and remainder t... — Polynomial functions: zeros, division, and the factor and remainder theorems
- Rational functions — Rational functions
- Partial-fraction ideas — Partial-fraction ideas
Exponential and logarithmic functions
- Exponential functions — Exponential functions
- Their properties — Their properties
- Logarithmic functions — Logarithmic functions
- Solving exponential/log equations — Solving exponential/log equations
Systems and inequalities
- Systems of linear equations in two and three variables — Systems of linear equations in two and three variables
- Systems of inequalities and linear programming (introduction) — Systems of inequalities and linear programming (introduction)
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Algebraic foundations
Real numbers, exponents, and radicals
Coming soon - Functions and graphs
Functions: domain, range, composition, and inverses
Coming soon - Polynomial and rational functions
Quadratic functions
Coming soon - Exponential and logarithmic functions
Exponential functions
Coming soon - Systems and inequalities
Systems of linear equations in two and three variables
Coming soon
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$1,162 · College algebra · 18 tutoring hrs
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