Math is everywhere. In this class, you’ll gain an in-depth understanding of algebraic principles, many of which you may have seen before, and learn how to use them to solve problems that we encounter in everyday life. The online version of College Algebra will cover all of the topics that you would see in more traditional class formats, but it will present the material in a way that we hope you’ll find fresh and interesting. You will learn about functions, polynomials, graphing, complex numbers, exponential and logarithmic equations, and much more, all through exploring real-world scenarios.

In this course, you will learn...

- To translate word problems into mathematical expressions or equations
- To manipulate algebraic expressions and solve equations
- To graph different types of functions and to understand the relationship between a function’s graph and its equation
- To model growth and decay

Basic arithmetic - addition, subtraction, multiplication and division of positive and negative numbers.

See the Technology Requirements for using Udacity.

The following topics will be covered. There will be two midterms and one final exam. There are no deadlines unless you are in the SJSU Plus-Udacity for-credit program.

Lesson 1: Number

Lesson 2: Expressions

Lesson 3: Polynomials

Lesson 4: Equations

Lesson 5-1: Coordinates

Lesson 5-2: Distance

Lesson 5-3: Midpoints And Slope

Lesson 6-1: Slope And Equations

Lesson 6-2: Points

Lesson 7: Forms of the Equation of a Line

Lesson 8: Inequalities And Absolute Value

Lesson 9: More Inequalities And Equations

Lesson 10: Parabolas

Lesson 11: Factoring

Lesson 12: Quadratic and Rational Inequalities

Lesson 13: More Parabolas

Lesson 14: Completing the Square

Lesson 15: Quadratic Formula

Lesson 16: Complex Numbers

Lesson 17: Functions

Lesson 18: Domain and Range

Lesson 19: Behavior of Functions

Lesson 20: Factor Theorem

Lesson 21: Rational Zero Test

Lesson 22: Intermediate Value Theorem

Lesson 24: Asymptotes

Lesson 25: Slant Asymptotes

Lesson 26: Transformations

Lesson 29: Exponential Functions

Lesson 30: Scientific Notation

Lesson 31: Logarithmic Functions

Lesson 32: Log Properties

Lesson 33: Solving Exponential and Logarithmic Equations

Lesson 34: Population, Scrolls and Sound

Julie Sliva Spitzer is a Professor of Mathematics Education in the Mathematics Department at San Jose State University, where she primarily works with prospective mathematics teachers on pedagogy. Her primary area of interest is in teaching mathematics to special education students. She is excited to help increase access to further education through this course.

Miriam has had the privilege to contribute to student experience at Udacity from multiple angles. From creating new courses to working one-on-one with students to helping lead our team of Coaches, she’s loved it all and has only grown more passionate about changing education. Outside of work, she enjoys singing, baking, and teaching yoga. Miriam attended Stanford University, where she earned a B.S. in Physics, a B.A. in Philosophy and Religious Studies, and an M.A. in Religious Studies.

Sarah Norell holds a PhD in Mathematics from the University of London, UK. She has lectured at the London School of Economics, University of Umeå and Mid-Sweden University, and tutored all ages. Her breadth of experience at different levels has brought insight into some of the underlying problems students have with mathematics and it is this insight she brings to the courses here at Udacity.

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