Algebra Foundations for Calculus

Algebra Foundations for Calculus, available at $22.99, has an average rating of 4.5, with 84 lectures, 1 quizzes, based on 21 reviews, and has 1331 subscribers.

You will learn about Solve equations and inequalities involving exponents, logarithms, trigonometric functions Graph polynomials and exponential, logarithmic, and trigonometric functions Define and use the derivative–the most important concept in Calculus–to better understand how functions behave Use limits to graph functions and find the derivative Find sums of finite and infinite series This course is ideal for individuals who are This course is meant for anyone preparing to take Calculus, as well as anyone who would like a foundational understanding of pure mathematics or This course is NOT meant for those who seek to learn applied mathematics (for these students, I recommend our textbook Street-Smart Stats: A Friendly Introduction to Statistical Research Methods) It is particularly useful for This course is meant for anyone preparing to take Calculus, as well as anyone who would like a foundational understanding of pure mathematics or This course is NOT meant for those who seek to learn applied mathematics (for these students, I recommend our textbook Street-Smart Stats: A Friendly Introduction to Statistical Research Methods).

Enroll now: Algebra Foundations for Calculus

Summary

Title: Algebra Foundations for Calculus

Price: $22.99

Average Rating: 4.5

Number of Lectures: 84

Number of Quizzes: 1

Number of Published Lectures: 84

Number of Published Quizzes: 1

Number of Curriculum Items: 85

Number of Published Curriculum Objects: 85

Original Price: $22.99

Quality Status: approved

Status: Live

What You Will Learn

Solve equations and inequalities involving exponents, logarithms, trigonometric functions
Graph polynomials and exponential, logarithmic, and trigonometric functions
Define and use the derivative–the most important concept in Calculus–to better understand how functions behave
Use limits to graph functions and find the derivative
Find sums of finite and infinite series

Who Should Attend

This course is meant for anyone preparing to take Calculus, as well as anyone who would like a foundational understanding of pure mathematics
This course is NOT meant for those who seek to learn applied mathematics (for these students, I recommend our textbook Street-Smart Stats: A Friendly Introduction to Statistical Research Methods)

Target Audiences

This course is meant for anyone preparing to take Calculus, as well as anyone who would like a foundational understanding of pure mathematics
This course is NOT meant for those who seek to learn applied mathematics (for these students, I recommend our textbook Street-Smart Stats: A Friendly Introduction to Statistical Research Methods)

Welcome to Algebra Foundations for Calculus! In this course, you’ll learn the foundational Algebra principles needed to be successful in Calculus.

Instructors:

Arun Sharma, PhD, Calculus professor at UC Berkeley
After majoring in math, Arun got his PhD in pure mathematics from UC Berkeley in 2009. Since 2010 he has been teaching introductory math classes at UC Berkeley. Because of this, he intimately understands the areas in which students struggle. He feels many students entering college math classes are not as prepared in Algebra as they should be. Because of this, he is excited to offer this course to help ensure students succeed in Calculus and beyond. A fun fact about Arun is that he is highly ranked in chess and runs the US Chess League.
Katie Kormanik, CEO, TURN THE WHEEL
Katie designs the courses, selects the experts and leaders the courses feature, and creates all the engaging content that you’ll see when you sign up. She is passionate about education and particularly excited about the potential of online learning. She has designed courses for Udacity, Stanford Graduate School of Business, and McKinsey Academy. Click here to see samples of her work. She has consulted for a number of education non-profits, start-ups, and for-profit companies on product development, curriculum development, pedagogy, and investments in edtech. And of course, she has been an educator in a number of capacities, from tutoring to teaching supplemental college courses, after-school programs, and summer school programs. Her two greatest passions are learning and making learning fun for others.

In this course, you’ll watch videos in which Arun and Katie explain concepts and work through examples. We also provide many practice exercises so you can solidify what you’re learning. Remember, learning math is just like learning a language, and the goal of this course is to make you fluent. Or, at least conversational. 🙂

A few tips as you work through this course:

Re-watch the videos to refresh your memory
Keep a pen and paper with you so you can do the exercises
Pause the videos occasionally to give you time to process the concepts
There’s no need for calculators. This course is less about performing basic calculations and more about understanding the principles

Course Curriculum

Lecture 1: Welcome to Algebra Foundations for Calculus!

Chapter 1: The basics

Lecture 1: About the course

Lecture 2: What is calculus?

Lecture 3: Write neatly

Lecture 4: Solutions: Compute expressions

Lecture 5: Graphing lines and calculating slope

Lecture 6: Exercises: Find equations of lines and calculate slope

Lecture 7: Solutions: Find equations of lines and calculate slope

Lecture 8: Why is the slope important in Calculus?

Lecture 9: Exercises: Graph the derivative

Lecture 10: Solutions: Graph the derivative

Lecture 11: Simplifying rational expressions

Lecture 12: Exercises: Simplifying rational expressions

Lecture 13: Solutions: Simplifying rational expressions

Lecture 14: Simplifying logarithmic expressions

Lecture 15: Exercises: Simplifying logarithmic expressions

Lecture 16: Solutions: Simplifying logarithmic expressions

Lecture 17: Trig basics and the unit circle

Lecture 18: Exercises: Find sine, cosine, and tangent

Lecture 19: Solutions: Find sine, cosine, and tangent

Chapter 2: Solving equations and inequalities

Lecture 1: Why solve equations?

Lecture 2: Solving equations: Quadratics

Lecture 3: Exercises: Solve quadratic equations

Lecture 4: Solutions: Solve quadratic equations

Lecture 5: Solving equations: Absolute values

Lecture 6: Exercises: Solve equations involving absolute value

Lecture 7: Solutions: Solve equations involving absolute value

Lecture 8: Solving equations: Polynomials

Lecture 9: Exercises: Solve polynomial equations

Lecture 10: Solutions: Solve polynomial equations

Lecture 11: Solving equations: Rational expressions

Lecture 12: Exercises: Solve equations involving rational expressions

Lecture 13: Solutions: Solve equations involving rational expressions

Lecture 14: Solving equations: Exponents

Lecture 15: Exercises: Solve exponential equations

Lecture 16: Solutions: Solve exponential equations

Lecture 17: Solving equations: Logs

Lecture 18: Exercises: Solve logarithmic equations

Lecture 19: Solutions: Solve logarithmic equations

Lecture 20: Solving equations: Trigonometric functions

Lecture 21: Trig identities

Lecture 22: Exercises: Solve trigonometric equations

Lecture 23: Solutions: Solve trigonometric equations

Lecture 24: Why solve inequalities?

Lecture 25: Solving inequalities

Lecture 26: Exercises: Solve inequalities

Lecture 27: Solutions: Solve inequalities

Chapter 3: Graphing

Lecture 1: Introduction to graphing

Lecture 2: Parent functions

Lecture 3: Exercises: Graph each translation

Lecture 4: Solutions: Graph each translation

Lecture 5: Domain

Lecture 6: Exercises: Find the domain

Lecture 7: Solutions: Find the domain

Lecture 8: Graphing polynomials

Lecture 9: Exercises: Graph polynomials

Lecture 10: Solutions: Graph polynomials

Lecture 11: Graphing rational functions

Lecture 12: Exercises: Graph rational functions

Lecture 13: Solutions: Graph rational functions

Lecture 14: Logarithmic and exponential functions

Lecture 15: Exercises: Graph logarithmic and exponential functions

Lecture 16: Solutions: Graph logarithmic and exponential functions

Lecture 17: Graph trigonometric functions

Lecture 18: Exercises: Graph trigonometric functions

Lecture 19: Solutions: Graph trigonometric functions

Lecture 20: Piecewise functions

Chapter 4: Limits and series

Lecture 1: Introduction to limits and series

Lecture 2: Limits

Lecture 3: Use limits to find the derivative

Lecture 4: Exercises: Find the derivative

Lecture 5: Solutions: Find the derivative

Lecture 6: Introduction to sequences and series

Lecture 7: Arithmetic series

Lecture 8: Exercises: Arithmetic series

Lecture 9: Solutions: Arithmetic series

Lecture 10: Finite geometric series

Lecture 11: Exercises: Finite geometric series

Lecture 12: Solutions: Finite geometric series

Lecture 13: Infinite geometric series

Lecture 14: Exercises: Infinite geometric series

Lecture 15: Solutions: Infinite geometric series

Lecture 16: Course close

Lecture 17: Before you go…

Instructors

Katie Kormanik
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Rating Distribution

1 stars: 1 votes
2 stars: 2 votes
3 stars: 4 votes
4 stars: 2 votes
5 stars: 12 votes

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