Course Overview
Teacher
Whether you’re starting your first semester of calculus, or cramming for your final exam, integralCALC will help you quickly build skills with simple, stepbystep lessons. Krista King (founder of integralCALC) worked as a calculus tutor while... View ProfileDetails
 Total Time 1 hr, 23 min
 Lessons 11
 Exercises 31
11 Lessons in This Course

5 minCalculus lesson 1with integralCALC
Lost in the world of calculus? Start at the beginning by learning about functions  number ‘machines’ that serve as the basis for all of calculus.

2 minCalculus lesson 2with integralCALC
You've got a graph, but how do you know whether or not it represents a function? Use the vertical line test! Learn the test, then practice on several examples.

6 minCalculus lesson 3with integralCALC
Take the confusion out of limits with integralCALC! Learn how to solve for limits and infinite limits, and what to do in the event of a point discontinuity.

5 minCalculus lesson 4with integralCALC
Take your calculus skills to the limit! Learn how to find the lefthand and righthand limits, and then use those to prove that the general limit does not exist.

9 minCalculus lesson 5with integralCALC
Know your limits! Learn about the precise definition (or epsilon delta definition) of a limit, and how it can be used to prove that a limit is true.

6 minCalculus lesson 6with integralCALC
Learn how to answer one of the most important questions in calculus by calculating the rate of change of a function at a point (aka taking the derivative)!

3 minCalculus lesson 7with integralCALC
Understand derivatives with help from this lesson on difference quotients. See how to plug in values and functions and then simplify confusing equations.

16 minCalculus lesson 8with integralCALC
In this lesson from IntegralCalc, brush up on your calculus skills and work through a problem to find the equation of a line tangent to a particular function!

9 minCalculus lesson 9with integralCALC
Don’t be intimidated by long implicit differentiation problems! Learn how to solve this type of equation with help from Krista, founder of IntegralCalc.

8 minCalculus lesson 10with integralCALC
Learn how to solve optimization problems and find the extremes, the local or global minima or maxima of a function, in this lesson from integralCALC.

8 minCalculus lesson 11with integralCALC
Related rates problems give many calculus students headaches, but they don’t have to. Learn how to conquer these problems using implicit differentiation!

8 minCalculus lessonwith integralCALC
Calculating the derivative of a function is easier than taking the definition of the derivative! LeThis lesson teaches you the process for solving derivatives.

6 minCalculus lessonwith integralCALC
Having a hard time applying the average value formula? Follow along with integralCALC as she walks through how to calculate the average value of a function.

6 minCalculus lessonwith integralCALC
Not sure if your function is continuous? Learn to identify and solve for removable discontinuities by walking through an example problem with integralCALC.

11 minCalculus lessonwith integralCALC
This example problem has it all! Learn to take the derivative of a complex natural log using the chain rule and tips that harken back to your days of algebra.

5 minCalculus lessonwith integralCALC
Build on your knowledge of derivatives in this calculus lesson, and learn how to calculate an integral to find the exact area under a function.

1010part Calculus coursewith Math is a Sport
Worried about taking a collegelevel or AP Calculus class? Fret not! In this course, review simple examples and graphs to explore the main concepts of both differential and integral calculus.

2020part Calculus coursewith Math Fortress
Ready to pursue more complex calculus topics? Challenge your visualization skills in this math course by covering fundamentals of the threedimensional coordinate system and twodimensional vectors.

1616part Calculus coursewith Math Fortress
Know how to find the derivatives of functions and ready for more complex calculus topics? In this course, Math Fortress introduces how to classify differential equations and verify their solutions.

99part Math coursewith Math Fortress
Be honest—do you know what an integer is? If you're planning to take the GRE, it's important that you know basic arithmetic concepts. In this course, review the rules of fractions and integers.

1010part Calculus coursewith Math is a Sport
Worried about taking a collegelevel or AP Calculus class? Fret not! In this course, review simple examples and graphs to explore the main concepts of both differential and integral calculus.

2020part Calculus coursewith Math Fortress
Ready to pursue more complex calculus topics? Challenge your visualization skills in this math course by covering fundamentals of the threedimensional coordinate system and twodimensional vectors.

1616part Calculus coursewith Math Fortress
Know how to find the derivatives of functions and ready for more complex calculus topics? In this course, Math Fortress introduces how to classify differential equations and verify their solutions.

1313part Calculus coursewith Math Fortress
Know the basics of differentiation, and feel ready to learn more intermediatelevel calculus? In this course, Math Fortress presents integration techniques to find the integrals of functions.

99part Calculus coursewith Math Fortress
Calculating derivatives can be tricky if you aren't comfortable with differential calculus. In this course, learn how to find the derivatives of polynomials, natural exponential functions, and more.