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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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 minMath 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.

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This course from You Do the Maths explains the basic process behind factoring numbers and simple algebraic terms, then moves on to factoring more complex quadratic functions of different kinds.

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Need some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear  Krista, an experienced math tutor, will help you understand the world of calculus, stepbystep. Start by learning the difference between a function and an equation  and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.