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Learn exactly what you need to in order to be successful in Calculus

## (1) The basics

- Welcome to Algebra Foundations for Calculus!
- About the course
- What is calculus?
- Write neatly
- Exercises: Compute expressions
- Solutions: Compute expressions
- Graphing lines and calculating slope
- Exercises: Find equations of lines and calculate slope
- Solutions: Find equations of lines and calculate slope
- Why is the slope important in Calculus?
- Exercises: Graph the derivative
- Solutions: Graph the derivative
- Simplifying rational expressions
- Exercises: Simplifying rational expressions
- Solutions: Simplifying rational expressions
- Simplifying logarithmic expressions
- Exercises: Simplifying logarithmic expressions
- Solutions: Simplifying logarithmic expressions
- Trig basics and the unit circle
- Exercises: Find sine, cosine, and tangent
- Solutions: Find sine, cosine, and tangent
- Why solve equations?
- Solving equations: Quadratics
- Exercises: Solve quadratic equations
- Solutions: Solve quadratic equations
- Solving equations: Absolute values
- Exercises: Solve equations involving absolute value
- Solutions: Solve equations involving absolute value
- Solving equations: Polynomials
- Exercises: Solve polynomial equations
- Solutions: Solve polynomial equations
- Solving equations: Rational expressions
- Exercises: Solve equations involving rational expressions
- Solutions: Solve equations involving rational expressions
- Solving equations: Exponents
- Exercises: Solve exponential equations
- Solutions: Solve exponential equations
- Solving equations: Logs
- Exercises: Solve logarithmic equations
- Solutions: Solve logarithmic equations
- Solving equations: Trigonometric functions
- Trig identities
- Exercises: Solve trigonometric equations
- Solutions: Solve trigonometric equations
- Why solve inequalities?
- Solving inequalities
- Exercises: Solve inequalities
- Solutions: Solve inequalities
- Introduction to graphing
- Parent functions
- Exercises: Graph each translation
- Solutions: Graph each translation
- Domain
- Exercises: Find the domain
- Solutions: Find the domain
- Graphing polynomials
- Exercises: Graph polynomials
- Solutions: Graph polynomials
- Graphing rational functions
- Exercises: Graph rational functions
- Solutions: Graph rational functions
- Logarithmic and exponential functions
- Exercises: Graph logarithmic and exponential functions
- Solutions: Graph logarithmic and exponential functions
- Graph trigonometric functions
- Exercises: Graph trigonometric functions
- Solutions: Graph trigonometric functions
- Piecewise functions
- Introduction to limits and series
- Limits
- Use limits to find the derivative
- Exercises: Find the derivative
- Solutions: Find the derivative
- Introduction to sequences and series
- Arithmetic series
- Exercises: Arithmetic series
- Solutions: Arithmetic series
- Finite geometric series
- Exercises: Finite geometric series
- Solutions: Finite geometric series
- Infinite geometric series
- Exercises: Infinite geometric series
- Solutions: Infinite geometric series
- Course close
- Before you go…

## (2) Solving equations and inequalities

- Welcome to Algebra Foundations for Calculus!
- About the course
- What is calculus?
- Write neatly
- Exercises: Compute expressions
- Solutions: Compute expressions
- Graphing lines and calculating slope
- Exercises: Find equations of lines and calculate slope
- Solutions: Find equations of lines and calculate slope
- Why is the slope important in Calculus?
- Exercises: Graph the derivative
- Solutions: Graph the derivative
- Simplifying rational expressions
- Exercises: Simplifying rational expressions
- Solutions: Simplifying rational expressions
- Simplifying logarithmic expressions
- Exercises: Simplifying logarithmic expressions
- Solutions: Simplifying logarithmic expressions
- Trig basics and the unit circle
- Exercises: Find sine, cosine, and tangent
- Solutions: Find sine, cosine, and tangent
- Why solve equations?
- Solving equations: Quadratics
- Exercises: Solve quadratic equations
- Solutions: Solve quadratic equations
- Solving equations: Absolute values
- Exercises: Solve equations involving absolute value
- Solutions: Solve equations involving absolute value
- Solving equations: Polynomials
- Exercises: Solve polynomial equations
- Solutions: Solve polynomial equations
- Solving equations: Rational expressions
- Exercises: Solve equations involving rational expressions
- Solutions: Solve equations involving rational expressions
- Solving equations: Exponents
- Exercises: Solve exponential equations
- Solutions: Solve exponential equations
- Solving equations: Logs
- Exercises: Solve logarithmic equations
- Solutions: Solve logarithmic equations
- Solving equations: Trigonometric functions
- Trig identities
- Exercises: Solve trigonometric equations
- Solutions: Solve trigonometric equations
- Why solve inequalities?
- Solving inequalities
- Exercises: Solve inequalities
- Solutions: Solve inequalities
- Introduction to graphing
- Parent functions
- Exercises: Graph each translation
- Solutions: Graph each translation
- Domain
- Exercises: Find the domain
- Solutions: Find the domain
- Graphing polynomials
- Exercises: Graph polynomials
- Solutions: Graph polynomials
- Graphing rational functions
- Exercises: Graph rational functions
- Solutions: Graph rational functions
- Logarithmic and exponential functions
- Exercises: Graph logarithmic and exponential functions
- Solutions: Graph logarithmic and exponential functions
- Graph trigonometric functions
- Exercises: Graph trigonometric functions
- Solutions: Graph trigonometric functions
- Piecewise functions
- Introduction to limits and series
- Limits
- Use limits to find the derivative
- Exercises: Find the derivative
- Solutions: Find the derivative
- Introduction to sequences and series
- Arithmetic series
- Exercises: Arithmetic series
- Solutions: Arithmetic series
- Finite geometric series
- Exercises: Finite geometric series
- Solutions: Finite geometric series
- Infinite geometric series
- Exercises: Infinite geometric series
- Solutions: Infinite geometric series
- Course close
- Before you go…

## (3) Graphing

- Welcome to Algebra Foundations for Calculus!
- About the course
- What is calculus?
- Write neatly
- Exercises: Compute expressions
- Solutions: Compute expressions
- Graphing lines and calculating slope
- Exercises: Find equations of lines and calculate slope
- Solutions: Find equations of lines and calculate slope
- Why is the slope important in Calculus?
- Exercises: Graph the derivative
- Solutions: Graph the derivative
- Simplifying rational expressions
- Exercises: Simplifying rational expressions
- Solutions: Simplifying rational expressions
- Simplifying logarithmic expressions
- Exercises: Simplifying logarithmic expressions
- Solutions: Simplifying logarithmic expressions
- Trig basics and the unit circle
- Exercises: Find sine, cosine, and tangent
- Solutions: Find sine, cosine, and tangent
- Why solve equations?
- Solving equations: Quadratics
- Exercises: Solve quadratic equations
- Solutions: Solve quadratic equations
- Solving equations: Absolute values
- Exercises: Solve equations involving absolute value
- Solutions: Solve equations involving absolute value
- Solving equations: Polynomials
- Exercises: Solve polynomial equations
- Solutions: Solve polynomial equations
- Solving equations: Rational expressions
- Exercises: Solve equations involving rational expressions
- Solutions: Solve equations involving rational expressions
- Solving equations: Exponents
- Exercises: Solve exponential equations
- Solutions: Solve exponential equations
- Solving equations: Logs
- Exercises: Solve logarithmic equations
- Solutions: Solve logarithmic equations
- Solving equations: Trigonometric functions
- Trig identities
- Exercises: Solve trigonometric equations
- Solutions: Solve trigonometric equations
- Why solve inequalities?
- Solving inequalities
- Exercises: Solve inequalities
- Solutions: Solve inequalities
- Introduction to graphing
- Parent functions
- Exercises: Graph each translation
- Solutions: Graph each translation
- Domain
- Exercises: Find the domain
- Solutions: Find the domain
- Graphing polynomials
- Exercises: Graph polynomials
- Solutions: Graph polynomials
- Graphing rational functions
- Exercises: Graph rational functions
- Solutions: Graph rational functions
- Logarithmic and exponential functions
- Exercises: Graph logarithmic and exponential functions
- Solutions: Graph logarithmic and exponential functions
- Graph trigonometric functions
- Exercises: Graph trigonometric functions
- Solutions: Graph trigonometric functions
- Piecewise functions
- Introduction to limits and series
- Limits
- Use limits to find the derivative
- Exercises: Find the derivative
- Solutions: Find the derivative
- Introduction to sequences and series
- Arithmetic series
- Exercises: Arithmetic series
- Solutions: Arithmetic series
- Finite geometric series
- Exercises: Finite geometric series
- Solutions: Finite geometric series
- Infinite geometric series
- Exercises: Infinite geometric series
- Solutions: Infinite geometric series
- Course close
- Before you go…

## (4) Limits and series

- Welcome to Algebra Foundations for Calculus!
- About the course
- What is calculus?
- Write neatly
- Exercises: Compute expressions
- Solutions: Compute expressions
- Graphing lines and calculating slope
- Exercises: Find equations of lines and calculate slope
- Solutions: Find equations of lines and calculate slope
- Why is the slope important in Calculus?
- Exercises: Graph the derivative
- Solutions: Graph the derivative
- Simplifying rational expressions
- Exercises: Simplifying rational expressions
- Solutions: Simplifying rational expressions
- Simplifying logarithmic expressions
- Exercises: Simplifying logarithmic expressions
- Solutions: Simplifying logarithmic expressions
- Trig basics and the unit circle
- Exercises: Find sine, cosine, and tangent
- Solutions: Find sine, cosine, and tangent
- Why solve equations?
- Solving equations: Quadratics
- Exercises: Solve quadratic equations
- Solutions: Solve quadratic equations
- Solving equations: Absolute values
- Exercises: Solve equations involving absolute value
- Solutions: Solve equations involving absolute value
- Solving equations: Polynomials
- Exercises: Solve polynomial equations
- Solutions: Solve polynomial equations
- Solving equations: Rational expressions
- Exercises: Solve equations involving rational expressions
- Solutions: Solve equations involving rational expressions
- Solving equations: Exponents
- Exercises: Solve exponential equations
- Solutions: Solve exponential equations
- Solving equations: Logs
- Exercises: Solve logarithmic equations
- Solutions: Solve logarithmic equations
- Solving equations: Trigonometric functions
- Trig identities
- Exercises: Solve trigonometric equations
- Solutions: Solve trigonometric equations
- Why solve inequalities?
- Solving inequalities
- Exercises: Solve inequalities
- Solutions: Solve inequalities
- Introduction to graphing
- Parent functions
- Exercises: Graph each translation
- Solutions: Graph each translation
- Domain
- Exercises: Find the domain
- Solutions: Find the domain
- Graphing polynomials
- Exercises: Graph polynomials
- Solutions: Graph polynomials
- Graphing rational functions
- Exercises: Graph rational functions
- Solutions: Graph rational functions
- Logarithmic and exponential functions
- Exercises: Graph logarithmic and exponential functions
- Solutions: Graph logarithmic and exponential functions
- Graph trigonometric functions
- Exercises: Graph trigonometric functions
- Solutions: Graph trigonometric functions
- Piecewise functions
- Introduction to limits and series
- Limits
- Use limits to find the derivative
- Exercises: Find the derivative
- Solutions: Find the derivative
- Introduction to sequences and series
- Arithmetic series
- Exercises: Arithmetic series
- Solutions: Arithmetic series
- Finite geometric series
- Exercises: Finite geometric series
- Solutions: Finite geometric series
- Infinite geometric series
- Exercises: Infinite geometric series
- Solutions: Infinite geometric series
- Course close
- Before you go…

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