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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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