Calculus 1 - Introduction & Resources
  • Hi! START HERE: Course overview
  • Download the Calc 1 formula sheet
Foundations of Calculus - Functions
  • Introduction to functions
  • RESOURCE: Quiz solutions for this section
  • Introduction to functions
  • Vertical line test
  • Vertical line test
  • Vertical line test
  • Domain and range
  • Domain and range
  • Domain and range from a graph
  • Domain and range from a graph
  • Domain and range from a graph
  • Even, odd, or neither
  • Even, odd, or neither
  • Independent and dependent variables
  • Independent and dependent variables
  • BONUS! Extra practice problems. :)
Foundations of Calculus - Graphing functions
  • Introduction to graphing functions
  • RESOURCE: Quiz solutions for this section
  • Equation modeling
  • Equation modeling
  • Modeling a piecewise-defined function
  • Modeling a piecewise-defined function
  • Sketching graphs from story problems
  • Sketching graphs from story problems
  • Equation of a line in point-slope form
  • Equation of a line in point-slope form
  • Equation of a line in point-slope form
  • Equation of a line in slope-intercept form
  • Equation of a line in slope-intercept form
  • Equation of a line in slope-intercept form
  • Graphing parabolas
  • Graphing parabolas
  • Center and radius of a circle
  • Center and radius of a circle
  • Graphing circles
  • Graphing circles
  • BONUS! Extra practice problems. :)
Foundations of Calculus - Modifying functions
  • Introduction to modifying functions
  • RESOURCE: Quiz solutions for this section
  • Combinations of functions
  • Combinations of functions
  • Composite functions
  • Composite functions
  • Composite functions, domain
  • Composite functions, domain
  • BONUS! Extra practice problems. :)
Foundations of Calculus - Inverse functions and logarithms
  • Introduction to inverse functions and logarithms
  • RESOURCE: Quiz solutions for this section
  • Horizontal line test (1-to-1)
  • Horizontal line test (1-to-1)
  • Horizontal line test (1-to-1)
  • Inverse functions
  • Inverse functions
  • Finding the equation of a function from points on its inverse
  • Finding the equation of a function from points on its inverse
  • Laws of logarithms
  • Laws of logarithms
  • BONUS! Extra practice problems. :)
Foundations of Calculus - Other functions and trigonometry
  • Introduction to other functions and trigonometry
  • RESOURCE: Quiz solutions for this section
  • Quadratic formula
  • Quadratic formula
  • Quadratic formula
  • Completing the square
  • Completing the square
  • Completing the square
  • Long division of polynomials
  • Long division of polynomials
  • Long division of polynomials
  • Unit circle
  • BONUS! Extra practice problems. :)
Limits & Continuity - Idea of the limit
  • Introduction to idea of the limit
  • RESOURCE: Quiz solutions for this section
  • Idea of the limit
  • Idea of the limit
  • Idea of the limit
  • One-sided limits
  • One-sided limits
  • One-sided limits
  • Proving that the limit does not exist
  • Proving that the limit does not exist
  • Proving that the limit does not exist
  • Precise definition of the limit
  • Precise definition of the limit
  • Precise definition of the limit
  • BONUS! Extra practice problems. :)
Limits & Continuity - Combinations and composites
  • Introduction to combinations and composites
  • RESOURCE: Quiz solutions for this section
  • Limits of combinations
  • Limits of combinations