Course Overview
Teacher
Math Fortress Provides High quality videos, work sheets and equation sheets all for free! We have resources for Algebra I, Geometry, Algebra II, Precalculus, Calculus I, Calculus II, Calculus III, Linear Algebra, Differential Equations, and the GRE. View ProfileDetails
- Total Time 4 hr, 22 min
- Lessons 26
- Attachment 1
- Exercises 57
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145 CQ
26 Lessons in This Course
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11 minFREECalculus lesson 1Free6 CQ
In this lesson, Math Fortress prepares you for multivariable calculus by going over the basics of one-, two- and three-dimensional coordinate systems.
with Math FortressIn this lesson, Math Fortress prepares you for multivariable calculus by going over the basics of one-, two- and three-dimensional coordinate systems.
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10 minCalculus lesson 26 CQ
Math Fortress provides more visuals to help you conceptualize and compare two- and three-dimensional coordinate systems and introduces projections in 3D space.
with Math FortressMath Fortress provides more visuals to help you conceptualize and compare two- and three-dimensional coordinate systems and introduces projections in 3D space.
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10 minCalculus lesson 36 CQ
In this lesson, Math Fortress walks you through five examples showing how to graph equations in R cubed, or three-dimensional space, of planes and cylinders.
with Math FortressIn this lesson, Math Fortress walks you through five examples showing how to graph equations in R cubed, or three-dimensional space, of planes and cylinders.
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10 minCalculus lesson 46 CQ
In this lesson, Math Fortress shows how to adapt the Midpoint and Distance formulas to include the coordinate z in a three-dimensional Cartesian system.
with Math FortressIn this lesson, Math Fortress shows how to adapt the Midpoint and Distance formulas to include the coordinate z in a three-dimensional Cartesian system.
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10 minCalculus lesson 56 CQ
See how to find the distance between points on a line, to check if points are collinear, and how to derive the equation of a sphere in three dimensions.
with Math FortressSee how to find the distance between points on a line, to check if points are collinear, and how to derive the equation of a sphere in three dimensions.
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10 minCalculus lesson 66 CQ
In this lesson, Math Fortress walks you through three slightly more challenging examples requiring the use of the Distance Formula in three dimensions.
with Math FortressIn this lesson, Math Fortress walks you through three slightly more challenging examples requiring the use of the Distance Formula in three dimensions.
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6 minCalculus lesson 74 CQ
In this lesson, Math Fortress guides you through three examples illustrating how to apply the equation of a sphere in a three-dimensional coordinate system.
with Math FortressIn this lesson, Math Fortress guides you through three examples illustrating how to apply the equation of a sphere in a three-dimensional coordinate system.
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9 minCalculus lesson 85 CQ
In this lesson, walk through intermediate problems to explore spheres in the three-dimensional coordinate system using the radius, center, and tangent planes.
with Math FortressIn this lesson, walk through intermediate problems to explore spheres in the three-dimensional coordinate system using the radius, center, and tangent planes.
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8 minCalculus lesson 95 CQ
In this lesson, see how to work through two challenging examples that require the use of the equation of a sphere in a three-dimensional coordinate system.
with Math FortressIn this lesson, see how to work through two challenging examples that require the use of the equation of a sphere in a three-dimensional coordinate system.
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11 minCalculus lesson 106 CQ
In this final lesson on the three-dimensional Cartesian coordinate system, explore graphing equations restricted to a given interval and inequalities in 3D.
with Math FortressIn this final lesson on the three-dimensional Cartesian coordinate system, explore graphing equations restricted to a given interval and inequalities in 3D.
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8 minCalculus lesson 115 CQ
In this lesson, get a review of the concepts and terminology of two-dimensional vectors, including magnitude, equivalent vectors, and vector notation.
with Math FortressIn this lesson, get a review of the concepts and terminology of two-dimensional vectors, including magnitude, equivalent vectors, and vector notation.
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10 minCalculus lesson 126 CQ
In this lesson, continue exploring vectors in a coordinate system with Math Fortress, including vectors in standard position and the component form.
with Math FortressIn this lesson, continue exploring vectors in a coordinate system with Math Fortress, including vectors in standard position and the component form.
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9 minCalculus lesson 135 CQ
In this lesson, learn more about finding a vector's magnitude, writing the component form of a vector, and converting vectors into standard position.
with Math FortressIn this lesson, learn more about finding a vector's magnitude, writing the component form of a vector, and converting vectors into standard position.
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10 minCalculus lesson 146 CQ
Learn geometric scalar multiplication to multiply a vector by a real number, as well as how to add and subtract vectors to or from one another.
with Math FortressLearn geometric scalar multiplication to multiply a vector by a real number, as well as how to add and subtract vectors to or from one another.
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10 minCalculus lesson 156 CQ
Practice scalar multiplication, addition, and subtraction using the geometric interpretation of vector operations in this lesson with Math Fortress.
with Math FortressPractice scalar multiplication, addition, and subtraction using the geometric interpretation of vector operations in this lesson with Math Fortress.
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11 minAlgebra lesson 166 CQ
In this lesson with Math Fortress, see how to apply basic operations—vector addition, vector subtraction, and scalar multiplication—algebraically.
with Math FortressIn this lesson with Math Fortress, see how to apply basic operations—vector addition, vector subtraction, and scalar multiplication—algebraically.
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10 minAlgebra lesson 176 CQ
In this lesson, walk through five examples to see how to compute vector addition, subtraction, and scalar multiplication algebraically.
with Math FortressIn this lesson, walk through five examples to see how to compute vector addition, subtraction, and scalar multiplication algebraically.
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9 minAlgebra lesson 185 CQ
Learn ten vector operation properties, which will be familiar to you from ordinary arithmetic, and see how to prove them algebraically and geometrically.
with Math FortressLearn ten vector operation properties, which will be familiar to you from ordinary arithmetic, and see how to prove them algebraically and geometrically.
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10 minAlgebra lesson 196 CQ
In this final lesson on two-dimensional vectors, learn about unit vectors, standard unit vectors, and how to describe the direction of vectors with angles.
with Math FortressIn this final lesson on two-dimensional vectors, learn about unit vectors, standard unit vectors, and how to describe the direction of vectors with angles.
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10 minCalculus lesson 206 CQ
In this lesson, get more practice with the concepts associated with vectors, including scalars, magnitude, and the component form, with six example problems.
with Math FortressIn this lesson, get more practice with the concepts associated with vectors, including scalars, magnitude, and the component form, with six example problems.
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8 minCalculus lesson 215 CQ
Math Fortress describes how vectors can be used in disciplines like physics and engineering to measure force, walking through examples of resultant force.
with Math FortressMath Fortress describes how vectors can be used in disciplines like physics and engineering to measure force, walking through examples of resultant force.
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10 minCalculus lesson 226 CQ
In this lesson, Math Fortress continues to explore real-world applications of vectors, in this case using vectors to solve static equilibrium problems.
with Math FortressIn this lesson, Math Fortress continues to explore real-world applications of vectors, in this case using vectors to solve static equilibrium problems.
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11 minCalculus lesson 236 CQ
Vectors have many practical applications, and in this lesson, Math Fortress introduces their use in the notation and measurement of bearings and distance.
with Math FortressVectors have many practical applications, and in this lesson, Math Fortress introduces their use in the notation and measurement of bearings and distance.
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9 minCalculus lesson 245 CQ
Move on from planar vectors to vectors in space by learning the properties associated with three-dimensional vectors in this calculus lesson.
with Math FortressMove on from planar vectors to vectors in space by learning the properties associated with three-dimensional vectors in this calculus lesson.
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9 minCalculus lesson 255 CQ
In this second calculus lesson on three-dimensional vectors, utilize the various properties associated with three-dimensional vectors in intermediate examples.
with Math FortressIn this second calculus lesson on three-dimensional vectors, utilize the various properties associated with three-dimensional vectors in intermediate examples.
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9 minCalculus lesson 265 CQ
In this third calculus lesson, learn how to solve advanced three-dimensional vector problems, including how to find a point in between two points.
with Math FortressIn this third calculus lesson, learn how to solve advanced three-dimensional vector problems, including how to find a point in between two points.
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35258 min35-part Geometry course146 CQ
Having trouble in geometry class? Reviewing for the SATs? This course from Math Fortress explains the principles of geometry, from segments, intersections, and degrees to angles and congruence.
with Math FortressHaving trouble in geometry class? Reviewing for the SATs? This course from Math Fortress explains the principles of geometry, from segments, intersections, and degrees to angles and congruence.
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1293 min12-part Algebra course54 CQ
New to algebra and confused by its concepts? In this Algebra I course for beginners, Math Fortress provides clear and concise explanations, starting with variables and ending with word problems.
with Math FortressNew to algebra and confused by its concepts? In this Algebra I course for beginners, Math Fortress provides clear and concise explanations, starting with variables and ending with word problems.
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13119 min13-part Algebra course66 CQ
Now that you have algebra basics down, it's time to delve into quadratic equations. In this math course, students learn how to solve binomial and trinomial quadratic equations through factoring.
with Math FortressNow that you have algebra basics down, it's time to delve into quadratic equations. In this math course, students learn how to solve binomial and trinomial quadratic equations through factoring.
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981 min9-part Calculus course45 CQ
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.
with Math FortressCalculating 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.
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13103 min13-part Calculus course59 CQ
Know the basics of differentiation, and feel ready to learn more intermediate-level calculus? In this course, Math Fortress presents integration techniques to find the integrals of functions.
with Math FortressKnow the basics of differentiation, and feel ready to learn more intermediate-level calculus? In this course, Math Fortress presents integration techniques to find the integrals of functions.
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1183 min11-part 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, step-by-step. 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, step-by-step. 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.
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10129 min10-part Math course70 CQ
Statistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10-lesson 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 10-lesson 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!
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31113 min31-part Algebra course73 CQ
Studying for the Regents Exam and need help with the algebra one section? In this course, run through thirty-seven 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 thirty-seven example problems that cover basic algebra concepts you'll need to know to pass.
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993 min9-part 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.
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630 min6-part 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.
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1183 min11-part 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, step-by-step. 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, step-by-step. 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.
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10133 min10-part Calculus course72 CQ
Worried about taking a college-level 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 college-level 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.
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10110 min10-part 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.
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993 min9-part 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.
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12109 min12-part 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.