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Course Summary

Throughout this course, we will use algebra to quantify and describe the world around us. Have you ever wondered how many songs can fit onto your flash drive? By the end of the course, you’ll have stronger skills for modeling problems, analyzing patterns, and using algebra to arrive at conclusions.

Why Take This Course?

Understand and develop the language, models, and tools for math reasoning.

Reason with numbers and units to solve problems.

Identify, analyze, extend, and create patterns and functions.

Make connections about relations and functions through multiple representations: graphs, charts, tables, equations.

Apply mathematical reasoning and logic to solve equations and write equivalent forms.

Prerequisites and Requirements

Almost nothing! Students should know their multiplication tables (1-12) and be proficient with adding and subtracting integers (for example, -7 - 16). A pencil and paper will be a student’s best aid rather than a calculator.

See the Technology Requirements for using Udacity.


Unit 1 - Review of Foundations

Unit 2 - Equations and Inequalities

Unit 3 - Graphs of Linear Equations

Unit 4 - Systems of Equations

Unit 5 - Exponents and Polynomials

Unit 6 - Factoring

Unit 7 - Rational Expressions

Unit 8 - Rational Exponents and Radicals

Unit 9 - Solving Quadratic Equations

Unit 10 - Quadratic Equations and Applications

Unit 11 - Conic Sections

Unit 12 - Inverses, Exponentials, and Logarithms

Instructors & Partners

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Sandra DeSousa


Sandra DeSousa is an Adjunct Instructor of Mathematics at San Jose State University and San Jose City College. She has been teaching developmental math for the last 6 years (in both small classrooms and large lecture halls). Teaching algebra to her struggling students is her favorite because she loves when they “get it.” She is always trying new and different teaching methods to help her students succeed and is very excited to work with Udacity.

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Chris Saden


After graduating from Emory in 2008, Chris dabbled in college admissions for a year, which led him to teach high school mathematics in Oakland. He radiates a love for learning and believes everyone deserves a great education. In 2012, Chris joined Udacity to reach thousands of students and share his joy of problem solving with the world.

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