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College Algebra

Debora Sepich

This College Algebra course will cover fundamental concepts of algebra required to interpret a variety of functions and equations. Topics within this course include: linear, quadratic, polynomial, rational, exponential, inverse functions and their graphs, linear inequalities, and linear systems of equations. Students who successfully complete this course will demonstrate increased ability in problem-solving and logical thinking.

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What's inside

Learning objectives

  • Compute with and categorize real numbers
  • Solve and apply equations and inequalities
  • Analyze and use graphs and functions
  • Solve systems of equations and inequalities
  • Compute with and factor polynomials and polynomial functions
  • Compute with rational expressions and solve rational equations
  • Compute with and simplify radicals, roots, and complex numbers
  • Solve and graph quadratic functions
  • As a student in this course, students will:

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Teaches foundational math concepts necessary for studying higher-level mathematics, science, and technology
Covers a wide range of topics including linear, quadratic, polynomial, rational, exponential, inverse functions, and their graphs
Provides a strong foundation for students who want to pursue careers in STEM fields
Can be taken as a refresher course for students who need to reinforce their algebra skills
Self-paced and online, offering flexibility for students with busy schedules

Save this course

Save College Algebra to your list so you can find it easily later:
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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in College Algebra with these activities:
Review Integer Operations
Brush up on basic integer operations such as addition, subtraction, multiplication, and division to strengthen your foundation for algebra.
Browse courses on Integers
Show steps
  • Review the rules for integer operations.
  • Practice solving simple integer problems.
  • Check your answers for accuracy.
Review basic algebra
Review the fundamentals of algebra to refresh your memory and strengthen your foundation before starting the course.
Browse courses on Real Numbers
Show steps
  • Go over the basics of real numbers and their operations.
  • Practice solving simple algebraic equations and inequalities.
  • Review the concept of functions and their graphs.
Explore Khan Academy's Algebra Course
Review fundamental algebra concepts through guided video tutorials and practice exercises on Khan Academy.
Browse courses on Algebra
Show steps
  • Create an account on Khan Academy.
  • Enroll in the Algebra course.
  • Watch the video tutorials and complete the practice exercises.
  • Take the quizzes and assessments to test your understanding.
13 other activities
Expand to see all activities and additional details
Show all 16 activities
Organize your notes
Stay organized by compiling your lecture notes, assignments, quizzes, and exams into a central location, ensuring easy access to all your learning materials.
Browse courses on Organization
Show steps
  • Gather all your course materials, including lecture slides, handouts, and assignments.
  • Create a system for organizing your materials, such as using folders or a digital note-taking app.
  • Review your organized materials regularly to reinforce your understanding and identify areas for improvement.
Watch video tutorials
Supplement your learning by watching video tutorials that provide clear explanations and demonstrations of algebraic concepts, helping you grasp complex topics more effectively.
Show steps
  • Search for reputable online platforms or educational channels that offer video tutorials on college algebra.
  • Choose tutorials that align with the specific topics you need to review or reinforce.
  • Take notes during the tutorials and pause to practice problems as needed.
Organize Course Notes and Assignments
Review and organize your course notes, assignments, and quizzes regularly to enhance your understanding and retention of the material.
Browse courses on Study Skills
Show steps
  • Gather all your course materials.
  • Create a system for organizing your materials.
  • Regularly review and update your materials.
  • Use color coding, summaries, or mind maps for better organization.
Tutorial on graphing rational functions
Learn how to graph rational functions by following a guided tutorial.
Show steps
  • Find a tutorial on graphing rational functions.
  • Follow the steps in the tutorial.
  • Try graphing a few rational functions on your own.
Practice factoring polynomials
Improve your ability to factor polynomials by practicing on a set of problems.
Browse courses on Factoring
Show steps
  • Find a set of practice problems on factoring polynomials.
  • Work through the problems, step-by-step.
  • Check your answers against the provided solutions.
Solve practice problems
Engage in regular practice by solving a variety of algebraic problems to enhance your problem-solving skills and reinforce your understanding.
Browse courses on Equations
Show steps
  • Find practice problems from textbooks, online resources, or problem sets.
  • Set aside dedicated time for practice and focus on solving problems independently.
  • Review your solutions and identify areas where you need improvement.
Practice Solving Equations
Practice solving equations to solidify your understanding of solving for variables and manipulating algebraic expressions.
Show steps
  • Review the steps for solving linear equations.
  • Work through practice problems.
  • Check your answers for accuracy.
Join a study group
Engage with peers in a study group to discuss concepts, share perspectives, and work together on problems, promoting a deeper understanding of the material.
Browse courses on Collaboration
Show steps
  • Find or form a study group with classmates who share similar learning goals.
  • Establish regular meeting times and create a supportive and collaborative environment.
  • Take turns leading discussions, presenting problems, and sharing insights.
Study Group for Rational Expressions
Form a study group with peers to discuss concepts and practice solving problems related to rational expressions.
Browse courses on Rational Expressions
Show steps
  • Find a group of classmates interested in forming a study group.
  • Establish a regular meeting time and place.
  • Prepare discussion topics and practice problems for each meeting.
  • Take turns presenting solutions and leading discussions.
Develop a cheat sheet
Create a comprehensive cheat sheet that summarizes key concepts, formulas, and theorems covered in the course, providing a valuable resource for quick reference and review.
Show steps
  • Identify the essential concepts and formulas you need to include on your cheat sheet.
  • Organize the information logically and visually.
  • Use concise language, symbols, and abbreviations to maximize the amount of information on your cheat sheet.
Create a Function Grapher
Develop a program or use a graphing calculator to graph different functions, exploring their properties and relationships.
Browse courses on Functions
Show steps
  • Choose a programming language or software for graphing.
  • Implement the functions to graph.
  • Test your program with various functions and analyze the results.
  • Enhance the program with features like zooming and panning.
Write a Blog Post on Quadratic Equations
Compose a blog post that explains the concepts of quadratic equations, including how to solve them using different methods.
Browse courses on Quadratic Equations
Show steps
  • Research and understand the different methods for solving quadratic equations.
  • Write a draft of the blog post, explaining the concepts clearly.
  • Proofread and edit the blog post for accuracy and clarity.
  • Publish the blog post on a relevant platform.
Design a Polynomial Calculator
Build a calculator that performs operations on polynomials, such as addition, subtraction, multiplication, and evaluation at different values.
Browse courses on Polynomials
Show steps
  • Research and understand polynomial operations.
  • Design an algorithm for each operation.
  • Implement the algorithms in a programming language.
  • Test the calculator thoroughly.
  • Create a user-friendly interface.

Career center

Learners who complete College Algebra will develop knowledge and skills that may be useful to these careers:
Data Analyst
Data analysts use data to solve problems and make informed decisions. They work in a variety of industries, including business, healthcare, and government. The College Algebra course can help you develop the skills needed to succeed in this field. You will learn how to collect, analyze, and interpret data.
See salaries and explore the career path for Data Analyst
Market Researcher
Market researchers use data to understand consumer behavior and trends. They work in a variety of industries, including marketing, advertising, and product development. The College Algebra course can help you develop the skills needed to succeed in this field. You will learn how to collect, analyze, and interpret data.
See salaries and explore the career path for Market Researcher
Business Analyst
Business analysts use data to identify and solve business problems. They work in a variety of industries, including consulting, finance, and healthcare. The College Algebra course can help you develop the skills needed to succeed in this field. You will learn how to collect, analyze, and interpret data.
See salaries and explore the career path for Business Analyst
Statistician
Statisticians use data to solve problems and make informed decisions. They work in a variety of industries, including healthcare, government, and business. The College Algebra course can help you develop the skills needed to succeed in this field. You will learn how to collect, analyze, and interpret data.
See salaries and explore the career path for Statistician
Quantitative Analyst
Quantitative analysts use mathematics and statistics to develop and implement trading strategies. They work in a variety of financial institutions, including investment banks, hedge funds, and asset management companies. The College Algebra course can help you develop the skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Quantitative Analyst
Actuary
Actuaries use mathematics and statistics to assess risk and uncertainty. They apply this knowledge to a wide range of industries, including insurance, finance, and healthcare. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Actuary
Risk Manager
Risk managers identify and assess risks and develop strategies to mitigate them. They work in a variety of industries, including insurance, finance, and healthcare. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Risk Manager
Financial Planner
Financial planners help individuals and families plan for their financial future. They work in a variety of settings, including banks, investment firms, and insurance companies. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Financial Planner
Economist
Economists study the production, distribution, and consumption of goods and services. They work in a variety of settings, including government, academia, and business. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Economist
Computer Programmer
Computer programmers design, develop, and maintain computer software. They work in a variety of industries, including technology, healthcare, and finance. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Computer Programmer
Insurance Underwriter
Insurance underwriters assess risk and determine insurance premiums. They work in a variety of industries, including insurance companies, banks, and healthcare providers. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Insurance Underwriter
Operations Research Analyst
Operations research analysts use mathematics and statistics to solve problems in a variety of industries, including manufacturing, logistics, and healthcare. The College Algebra course can help you develop the skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Operations Research Analyst
Software Engineer
Software engineers design, develop, and maintain software applications. They work in a variety of industries, including technology, healthcare, and finance. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Software Engineer
Financial Analyst
Financial analysts use mathematics and statistics to analyze financial data and make investment recommendations. They work in a variety of industries, including banking, investment management, and insurance. The College Algebra course can help you develop the skills needed to succeed in this field. You will learn how to solve complex equations, analyze data, and make predictions.
See salaries and explore the career path for Financial Analyst
Teacher
Teachers educate students at all levels, from preschool to college. They work in a variety of settings, including public schools, private schools, and charter schools. The College Algebra course can help you develop the mathematical skills needed to succeed in this field. You will learn how to solve equations, analyze data, and make predictions.
See salaries and explore the career path for Teacher

Reading list

We've selected 12 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in College Algebra.
Cover image
Precalculus, Global Edition
Save
This popular textbook for college algebra courses. It is well-written and provides a comprehensive coverage of the material.
Precalculus, Global Edition
Paperback
$$$
Cover image
College Algebra
Save
This textbook for intermediate algebra courses. It provides a good review of the basics of algebra and covers some more advanced topics.
College Algebra: Graphs And Models Graphing...
Hardcover
$$$$
Cover image
Student Solutions Manual for Larson/Edwards'...
Save
This textbook for calculus courses. It provides a good review of the basics of algebra and covers some more advanced topics.
Student Solutions Manual for Larson/Edwards'...
Paperback
Check
Student Solutions Manual for Larson/Edwards'...
Kindle Edition
Check
Introduction to Linear Algebra
Save
This textbook for linear algebra courses. It well-written and comprehensive book that provides a good coverage of the material.
Introduction to Linear Algebra (Gilbert Strang)
Hardcover
$$$$
Cover image
Abstract Algebra
Save
This textbook for abstract algebra courses. It well-written and comprehensive book that provides a good coverage of the material.
Abstract Algebra
Hardcover
$$$$
Abstract Algebra by I. N. Herstein (1986-04-03)
Hardcover
$$$$
Abstract Algebra 3rd edition by Herstein, I. N....
Paperback
$$$$
Cover image
A Course in Number Theory and Cryptography
Save
This textbook for number theory courses. It well-written and comprehensive book that provides a good coverage of the material.
A Course in Number Theory and Cryptography...
Paperback
$$$
Cover image
Residues and Duality
Save
This textbook for algebraic geometry courses. It well-written and comprehensive book that provides a good coverage of the material.
Residues and Duality
Paperback
Check
Residues and Duality
Kindle Edition
Check
Cover image
ELEMENTS OF ALGEBRAIC TOPOLOGY
Save
This textbook for topology courses. It well-written and comprehensive book that provides a good coverage of the material.
Elements Of Algebraic Topology
Kindle Edition
$$$
Cover image
Neural Networks are Homeomorphisms
Save
This textbook for analysis courses. It well-written and comprehensive book that provides a good coverage of the material.
Neural Networks are Homeomorphisms: An Introduction...
Paperback
$$
Cover image
Infinite Group Actions on Polyhedra
Save
This textbook for algebra courses. It well-written and comprehensive book that provides a good coverage of the material.
Infinite Group Actions on Polyhedra (Ergebnisse der...
Hardcover
$$$$
Elementary Number Theory
Save
This textbook for number theory courses. It well-written and comprehensive book that provides a good coverage of the material.
Elementary Number Theory
Paperback
Check
Elementary Number Theory
Kindle Edition
Check
Principles of Mathematical Analysis Textbook by...
Save
This textbook for real analysis courses. It well-written and comprehensive book that provides a good coverage of the material.
Principles of Mathematical Analysis Textbook by...
Paperback
Check
Principles of Mathematical Analysis Textbook by...
Kindle Edition
Check

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Course image
Effort
8 to 12 hours per week for 8 weeks
Level
Intermediate
Via
edX
Institution
Doane University
Instructor
Debora Sepich
Language
English
Transcript
English
Good to know
Teaches foundational math concepts necessary for studying higher-level mathematics, science, and technology
Covers a wide range of topics including linear, quadratic, polynomial, rational, exponential, inverse functions, and their graphs
Provides a strong foundation for students who want to pursue careers in STEM fields
Can be taken as a refresher course for students who need to reinforce their algebra skills
Self-paced and online, offering flexibility for students with busy schedules
Share and help others discover this course.
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