Introduction to Visual Calculus
A 10part course with Math is a Sport
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I received my Ph.D. in physics from Stanford, and then worked in a variety of fields, including cryptography and cognitive science. I'm now semiretired and run a small notforprofit research organization. We focus on applying cognitive science... View ProfileDetails
 Total Time 2 hr, 13 min
 Lessons 10
 Attachment 1
 Exercises 43

72 CQ
10 Lessons in This Course

14 minFREECalculus lesson 1Free8 CQ
Calculus is all about change. In this lesson, review the change that calculus studies, as well as applications from architecture to rocket science.
with Math is a SportCalculus is all about change. In this lesson, review the change that calculus studies, as well as applications from architecture to rocket science.

13 minAlgebra lesson 27 CQ
In this algebra lesson, learn how to graph the rate versus time for travel, move between the D vs. T and R vs. T graphs, and check out several examples!
with Math is a SportIn this algebra lesson, learn how to graph the rate versus time for travel, move between the D vs. T and R vs. T graphs, and check out several examples!

12 minAlgebra lesson 37 CQ
In this algebra lesson, get an overview of moving from a D vs. T graph to the corresponding R vs. T graph, as well as going in the opposite direction.
with Math is a SportIn this algebra lesson, get an overview of moving from a D vs. T graph to the corresponding R vs. T graph, as well as going in the opposite direction.

14 minAlgebra lesson 48 CQ
In this lesson, the notion of area under the curve is extended to more complex situations. Identify acceleration as the rate of change of velocity.
with Math is a SportIn this lesson, the notion of area under the curve is extended to more complex situations. Identify acceleration as the rate of change of velocity.

14 minCalculus lesson 58 CQ
As with position and velocity, it is possible to move between velocity and acceleration, using slope and signed area. Learn how in this visual calculus lesson!
with Math is a SportAs with position and velocity, it is possible to move between velocity and acceleration, using slope and signed area. Learn how in this visual calculus lesson!

13 minCalculus lesson 67 CQ
Moving backwards in time? Calculus makes it possible! In this lesson, learn to calculate change in position by moving in either direction on the velocity graph.
with Math is a SportMoving backwards in time? Calculus makes it possible! In this lesson, learn to calculate change in position by moving in either direction on the velocity graph.

10 minCalculus lesson 76 CQ
In this visual calculus lesson, explore the interplay between speed, acceleration, and velocity by looking at the concept of increasing and decreasing speed.
with Math is a SportIn this visual calculus lesson, explore the interplay between speed, acceleration, and velocity by looking at the concept of increasing and decreasing speed.

12 minCalculus lesson 87 CQ
In this lesson, review a calculus word problem about buying a used car to illustrate the difference between total distance traveled and change in position.
with Math is a SportIn this lesson, review a calculus word problem about buying a used car to illustrate the difference between total distance traveled and change in position.

15 minCalculus lesson 98 CQ
In this calculus lesson, review the relationship between minima, maxima, and extrema, and determine a method for finding all candidates for position extrema.
with Math is a SportIn this calculus lesson, review the relationship between minima, maxima, and extrema, and determine a method for finding all candidates for position extrema.

11 minCalculus lesson 106 CQ
This is the end of your visual calculus journey! Learn the notation for slope of a curve at a particular point, and the signed area from one time to another.
with Math is a SportThis is the end of your visual calculus journey! Learn the notation for slope of a curve at a particular point, and the signed area from one time to another.

9 minCalculus lesson5 CQ
Get an introduction to one of the fundamental concept of calculus: the derivative. Learn when to use it and why it's important for calculating slope.
with Math is a SportGet an introduction to one of the fundamental concept of calculus: the derivative. Learn when to use it and why it's important for calculating slope.

12 minMath lesson7 CQ
If you are preparing for your AP Calculus exam, start right here! Learn how to write responses in the prescribed style for AP Calculus freeresponse questions.
with Math is a SportIf you are preparing for your AP Calculus exam, start right here! Learn how to write responses in the prescribed style for AP Calculus freeresponse questions.

1183 min11part Calculus course47 CQ
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.
with Krista King MathNeed 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.

10129 min10part Math course70 CQ
Statistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!
with Zachary RappellStatistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!

31113 min31part Algebra course73 CQ
Studying for the Regents Exam and need help with the algebra one section? In this course, run through thirtyseven example problems that cover basic algebra concepts you'll need to know to pass.
with Math FortressStudying for the Regents Exam and need help with the algebra one section? In this course, run through thirtyseven example problems that cover basic algebra concepts you'll need to know to pass.

993 min9part Calculus course51 CQ
Calculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.
with Math FortressCalculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.

630 min6part Math course17 CQ
Fundamentals of Laplace transforms such as definition, limits, properties, and few examples.
with Anish TurlapatyFundamentals of Laplace transforms such as definition, limits, properties, and few examples.

1183 min11part Calculus course47 CQ
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.
with Krista King MathNeed 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.

10133 min10part Calculus course72 CQ
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.
with Math is a SportWorried 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.

10110 min10part Calculus course59 CQ
Do you need a little help preparing for the AP Calculus AB exam? Look no further. This course covers the basic ideas of calculus, including: functions, limits, derivatives, and integration.
with Mark HuberDo you need a little help preparing for the AP Calculus AB exam? Look no further. This course covers the basic ideas of calculus, including: functions, limits, derivatives, and integration.

993 min9part Calculus course51 CQ
Calculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.
with Math FortressCalculus students ready to advance to the next level: this course is for you. Learn all about the cross product, starting with the right hand rule, and ending with how to measure torque.

12109 min12part Calculus course62 CQ
In this calculus course discover the geometric interpretation of the dot product (also known as the scalar product), the component definition of the dot product, and properties of the dot product.
with Math FortressIn this calculus course discover the geometric interpretation of the dot product (also known as the scalar product), the component definition of the dot product, and properties of the dot product.