Become a Calculus 3 Master

About Course

Learn Calculus 3 for free with this comprehensive course from Udemy. This course covers everything from partial derivatives to multiple integrals and vectors. It includes 526 lessons, 161 quizzes, and 40 workbooks with extra practice problems.
The course is organized into three sections: Partial Derivatives, Multiple Integrals, and Vectors.
Each section includes video lessons, notes, quizzes, and workbooks.
This free Calculus 3 course is perfect for students who are struggling in their calculus class, or for those who want to brush up on their calculus skills.
This course is offered completely free of cost by Theetay and includes courses from various platforms like Udemy, Udacity, Coursera, MasterClass, NearPeer, and more. Start learning Calculus 3 today!

Course Content

01 – Getting started

001 What we’ll learn in this course.mp4

00:00
002 How to get the most out of this course.mp4

00:00
003 Download the formula sheet.html

00:00
004 The EVERYTHING download.html

00:00
Section Quiz

02 – Partial Derivatives – Three-dimensional coordinate systems

001 Introduction to three-dimensional coordinate systems.html

00:00
002 Plotting points in three dimensions.html

00:00
003 Plotting points in three dimensions.mp4

00:00
004 Distance between points in three dimensions.html

00:00
005 Distance between points in three dimensions.mp4

00:00
006 Center, radius, and equation of the sphere.html

00:00
007 Center, radius, and equation of the sphere.mp4

00:00
008 Describing a region in three-dimensional space.mp4

00:00
009 Using inequalities to describe the region.mp4

00:00
010 BONUS! Extra practice problems. ).html

00:00
Section Quiz

03 – Partial Derivatives – Sketching graphs and level curves

04 – Partial Derivatives – Lines and planes

001 Introduction to lines and planes.html

00:00
002 Vector, parametric and symmetric equations of a line.html

00:00
003 Vector and parametric equations of a line.mp4

00:00
004 Parametric and symmetric equations of a line.mp4

00:00
005 Symmetric equations of a line.mp4

00:00
006 Parallel, intersecting, skew, and perpendicular lines.html

00:00
007 Parallel, intersecting, skew, and perpendicular lines.mp4

00:00
008 Equation of a plane.html

00:00
009 Equation of a plane.mp4

00:00
010 Intersection of a line and a plane.html

00:00
011 Intersection of a line and a plane.mp4

00:00
012 Parallel, perpendicular and angle between planes.html

00:00
013 Parallel, perpendicular and angle between planes.mp4

00:00
014 Parametric equations for the line of intersection of two planes.html

00:00
015 Parametric equations for the line of intersection of two planes.mp4

00:00
016 Symmetric equations for the line of intersection of two planes.html

00:00
017 Symmetric equations for the line of intersection of two planes.mp4

00:00
018 Distance between a point and a line.mp4

00:00
019 Distance between a point and a plane.mp4

00:00
020 Distance between parallel planes.mp4

00:00
021 BONUS! Extra practice problems. ).html

00:00
Section Quiz

05 – Partial Derivatives – Cylinders and quadric surfaces

06 – Partial Derivatives – Limits and continuity

07 – Partial Derivatives – Partial derivatives

001 Introduction to partial derivatives.html

00:00
002 Partial derivatives in two variables.html

00:00
003 Partial derivatives in two variables.mp4

00:00
004 Partial derivatives in three or more variables.html

00:00
005 Partial derivatives in three or more variables.mp4

00:00
006 Higher order partial derivatives.html

00:00
007 Higher order partial derivatives.mp4

00:00
008 BONUS! Extra practice problems. ).html

00:00
Section Quiz

08 – Partial Derivatives – Differentials

09 – Partial Derivatives – Chain rule

10 – Partial Derivatives – Implicit differentiation

11 – Partial Derivatives – Directional derivatives

12 – Partial Derivatives – Linear approximation and linearization

13 – Partial Derivatives – Gradient vectors

14 – Partial Derivatives – Tangent planes and normal lines

15 – Partial Derivatives – Optimization

001 Introduction to optimization.html

00:00
002 Critical points.mp4

00:00
003 Second derivative test.html

00:00
004 Second derivative test.mp4

00:00
005 Local extrema and saddle points.mp4

00:00
006 Global extrema.mp4

00:00
007 Extreme value theorem.mp4

00:00
008 BONUS! Extra practice problems. ).html

00:00
Section Quiz

16 – Partial Derivatives – Applied optimization

17 – Partial Derivatives – Lagrange multipliers

18 – Multiple Integrals – Approximating double integrals

19 – Multiple Integrals – Double integrals

001 Introduction to double integrals.html

00:00
002 Average value.html

00:00
003 Average value.mp4

00:00
004 Iterated and double integrals.html

00:00
005 Iterated integrals.mp4

00:00
006 Double integrals.mp4

00:00
007 Type I and II regions.html

00:00
008 Type I and II regions.mp4

00:00
009 Finding surface area.html

00:00
010 Finding surface area.mp4

00:00
011 Finding volume.html

00:00
012 Finding volume.mp4

00:00
013 Changing the order of integration.mp4

00:00
014 BONUS! Extra practice problems. ).html

00:00
Section Quiz

20 – Multiple Integrals – Double integrals in polar coordinates

001 Introduction to double integrals in polar coordinates.html

00:00
002 Changing iterated and double integrals to polar coordinates.html

00:00
003 Changing iterated integrals to polar coordinates.mp4

00:00
004 Changing double integrals to polar coordinates.mp4

00:00
005 Sketching area.html

00:00
006 Sketching area.mp4

00:00
007 Finding area.html

00:00
008 Finding area.mp4

00:00
009 Finding volume.html

00:00
010 Finding volume.mp4

00:00
011 BONUS! Extra practice problems. ).html

00:00
Section Quiz

21 – Multiple Integrals – Applications of double integrals

22 – Multiple Integrals – Approximating triple integrals

23 – Multiple Integrals – Triple integrals

001 Introduction to triple integrals.html

00:00
002 Iterated and triple integrals.html

00:00
003 Iterated integrals.mp4

00:00
004 Triple integrals.mp4

00:00
005 Average value.html

00:00
006 Average value.mp4

00:00
007 Finding volume.html

00:00
008 Finding volume.mp4

00:00
009 Expressing the integral six ways.html

00:00
010 Expressing the integral six ways.mp4

00:00
011 BONUS! Extra practice problems. ).html

00:00
Section Quiz

24 – Multiple Integrals – Triple integrals in cylindrical coordinates

001 Introduction to triple integrals in cylindrical coordinates.html

00:00
002 Cylindrical coordinates.html

00:00
003 Cylindrical coordinates.mp4

00:00
004 Changing triple integrals to cylindrical coordinates.html

00:00
005 Changing triple integrals to cylindrical coordinates.mp4

00:00
006 Finding volume.html

00:00
007 Finding volume.mp4

00:00
008 BONUS! Extra practice problems. ).html

00:00
Section Quiz

25 – Multiple Integrals – Triple integrals in spherical coordinates

26 – Multiple Integrals – Change of variables

27 – Multiple Integrals – Applications of triple integrals

28 – Vectors – Introduction to vectors

001 Introduction to vectors.html

00:00
002 Vector from two points.mp4

00:00
003 Combinations of vectors.html

00:00
004 Combinations of vectors.mp4

00:00
005 Sum of two vectors.html

00:00
006 Sum of two vectors.mp4

00:00
007 Copying vectors and using them to find combinations.mp4

00:00
008 Unit vector in the direction of the given vector.mp4

00:00
009 Angle between a vector and the x-axis.mp4

00:00
010 Magnitude and angle of the resultant force.html

00:00
011 Magnitude and angle of the resultant force.mp4

00:00
012 BONUS! Extra practice problems. ).html

00:00
Section Quiz

29 – Vectors – Dot products

001 Introduction to dot products.html

00:00
002 Dot product of two vectors.html

00:00
003 Dot product of two vectors.mp4

00:00
004 Angle between two vectors.html

00:00
005 Angle between two vectors.mp4

00:00
006 Orthogonal, parallel or neither.html

00:00
007 Orthogonal, parallel or neither.mp4

00:00
008 Acute angle between the lines.html

00:00
009 Acute angle between the lines.mp4

00:00
010 Acute angles between the curves.html

00:00
011 Acute angles between the curves.mp4

00:00
012 Direction cosines and direction angles.html

00:00
013 Direction cosines and direction angles.mp4

00:00
014 Scalar equation of a line.html

00:00
015 Scalar equation of a line.mp4

00:00
016 Scalar equation of a plane.html

00:00
017 Scalar equation of a plane.mp4

00:00
018 Scalar and vector projections.html

00:00
019 Scalar and vector projections.mp4

00:00
020 BONUS! Extra practice problems. ).html

00:00
Section Quiz

30 – Vectors – Cross products

001 Introduction to cross products.html

00:00
002 Cross product of two vectors.html

00:00
003 Cross product of two vectors.mp4

00:00
004 Vector orthogonal to the plane.html

00:00
005 Vector orthogonal to the plane.mp4

00:00
006 Volume of the parallelepiped from vectors.html

00:00
007 Volume of the parallelepiped from vectors.mp4

00:00
008 Volume of the parallelepiped from adjacent edges.html

00:00
009 Volume of the parallelepiped from adjacent edges.mp4

00:00
010 Scalar triple product to prove vectors are coplanar.html

00:00
011 Scalar triple product to prove vectors are coplanar.mp4

00:00
012 BONUS! Extra practice problems. ).html

00:00
Section Quiz

31 – Vectors – Vector functions and space curves

001 Introduction to vector functions and space curves.html

00:00
002 Domain of a vector function.html

00:00
003 Domain of a vector function.mp4

00:00
004 Limit of a vector function.html

00:00
005 Limit of a vector function.mp4

00:00
006 Sketching the vector equation.mp4

00:00
007 Projections of the curve.html

00:00
008 Projections of the curve.mp4

00:00
009 Vector and parametric equations of a line segment.html

00:00
010 Vector and parametric equations of a line segment.mp4

00:00
011 Vector function for the curve of intersection of two surfaces.html

00:00
012 Vector function for the curve of intersection of two surfaces.mp4

00:00
013 BONUS! Extra practice problems. ).html

00:00
Section Quiz

32 – Vectors – Derivatives and integrals of vector functions

001 Introduction to derivatives and integrals of vector functions.html

00:00
002 Derivative of a vector function.html

00:00
003 Derivative of a vector function.mp4

00:00
004 Unit tangent vector.html

00:00
005 Unit tangent vector.mp4

00:00
006 Parametric equations of the tangent line.html

00:00
007 Parametric equations of the tangent line.mp4

00:00
008 Integral of a vector function.html

00:00
009 Integral of a vector function.mp4

00:00
010 BONUS! Extra practice problems. ).html

00:00
Section Quiz

33 – Vectors – Arc length and curvature

001 Introduction to arc length and curvature.html

00:00
002 Arc length of a vector function.html

00:00
003 Arc length of a vector function.mp4

00:00
004 Reparametrizing the curve.html

00:00
005 Reparametrizing the curve.mp4

00:00
006 Unit tangent and unit normal vectors.html

00:00
007 Unit tangent and unit normal vectors.mp4

00:00
008 Curvature.html

00:00
009 Curvature.mp4

00:00
010 Maximum curvature.html

00:00
011 Maximum curvature.mp4

00:00
012 Normal and osculating planes.html

00:00
013 Normal and osculating planes.mp4

00:00
014 BONUS! Extra practice problems. ).html

00:00
Section Quiz

34 – Vectors – Velocity and acceleration

001 Introduction to velocity and acceleration.html

00:00
002 Velocity and acceleration vectors.html

00:00
003 Velocity and acceleration vectors.mp4

00:00
004 Velocity, acceleration and speed, given position.html

00:00
005 Velocity, acceleration and speed, given position.mp4

00:00
006 Velocity and position given acceleration and initial conditions.mp4

00:00
007 Tangential and normal components of acceleration.html

00:00
008 Tangential and normal components of acceleration.mp4

00:00
009 BONUS! Extra practice problems. ).html

00:00
Section Quiz

35 – Vectors – Line integrals

001 Introduction to line integrals.html

00:00
002 Line integrals.html

00:00
003 Line integral of a curve.mp4

00:00
004 Line integral of a vector function.mp4

00:00
005 Conservative vector fields.html

00:00
006 Potential function of a conservative vector field.mp4

00:00
007 Potential function of a conservative vector field to evaluate a line integral.mp4

00:00
008 Independence of path.html

00:00
009 Independence of path.mp4

00:00
010 Work done by the force field.mp4

00:00
011 Open, connected, and simply-connected.mp4

00:00
012 BONUS! Extra practice problems. ).html

00:00
Section Quiz

36 – Vectors – Green’s theorem

37 – Vectors – Curl and divergence

38 – Vectors – Parametric surfaces and areas

39 – Vectors – Surface integrals

40 – Vectors – Stokes’ and divergence theorem

41 – Final exam and wrap-up

Add this certificate to your resume to demonstrate your skills & increase your chances of getting noticed.

Student Ratings & Reviews

5.0

Total 1 Rating

1 Rating

0 Rating

Ahmad Mushtaq

9 months ago

Like her previous two calculus courses, this is also to-the-point and teaches some of the advanced topics which even my university course on Calculus-3 didn't teach. She's the best maths instructor on udemy.

About Course

What Will You Learn?

Course Content

01 – Getting started

001 What we’ll learn in this course.mp4

002 How to get the most out of this course.mp4

003 Download the formula sheet.html

004 The EVERYTHING download.html

Section Quiz

02 – Partial Derivatives – Three-dimensional coordinate systems

001 Introduction to three-dimensional coordinate systems.html

002 Plotting points in three dimensions.html

003 Plotting points in three dimensions.mp4

004 Distance between points in three dimensions.html

005 Distance between points in three dimensions.mp4

006 Center, radius, and equation of the sphere.html

007 Center, radius, and equation of the sphere.mp4

008 Describing a region in three-dimensional space.mp4

009 Using inequalities to describe the region.mp4

010 BONUS! Extra practice problems. ).html

Section Quiz

03 – Partial Derivatives – Sketching graphs and level curves

001 Introduction to sketching graphs and level curves.html

002 Sketching level curves of multivariable functions.mp4

003 BONUS! Extra practice problems. ).html

Section Quiz

04 – Partial Derivatives – Lines and planes

001 Introduction to lines and planes.html

002 Vector, parametric and symmetric equations of a line.html

003 Vector and parametric equations of a line.mp4

004 Parametric and symmetric equations of a line.mp4

005 Symmetric equations of a line.mp4

006 Parallel, intersecting, skew, and perpendicular lines.html

007 Parallel, intersecting, skew, and perpendicular lines.mp4

008 Equation of a plane.html

009 Equation of a plane.mp4

010 Intersection of a line and a plane.html

011 Intersection of a line and a plane.mp4

012 Parallel, perpendicular and angle between planes.html

013 Parallel, perpendicular and angle between planes.mp4

014 Parametric equations for the line of intersection of two planes.html

015 Parametric equations for the line of intersection of two planes.mp4

016 Symmetric equations for the line of intersection of two planes.html

017 Symmetric equations for the line of intersection of two planes.mp4

018 Distance between a point and a line.mp4

019 Distance between a point and a plane.mp4

020 Distance between parallel planes.mp4

021 BONUS! Extra practice problems. ).html

Section Quiz

05 – Partial Derivatives – Cylinders and quadric surfaces

001 Introduction to cylinders and quadric surfaces.html

002 Reference chart for cylinders and quadric surfaces.html

003 Reducing equations to standard form.mp4

004 Sketching the surface.mp4

005 BONUS! Extra practice problems. ).html

Section Quiz

06 – Partial Derivatives – Limits and continuity

001 Introduction to limits and continuity.html

002 Domain of a multivariable function.mp4

003 Limit of a multivariable function.mp4

004 Precise definition of the limit for multivariable functions.mp4

005 Discontinuities of multivariable functions.mp4

006 Compositions of multivariable functions.mp4

007 BONUS! Extra practice problems. ).html

Section Quiz

07 – Partial Derivatives – Partial derivatives

001 Introduction to partial derivatives.html

002 Partial derivatives in two variables.html

003 Partial derivatives in two variables.mp4

004 Partial derivatives in three or more variables.html

005 Partial derivatives in three or more variables.mp4

006 Higher order partial derivatives.html

007 Higher order partial derivatives.mp4

008 BONUS! Extra practice problems. ).html

Section Quiz

08 – Partial Derivatives – Differentials

001 Introduction to differentials.html

002 Differential of a multivariable function.html

003 Differential of a multivariable function.mp4

004 BONUS! Extra practice problems. ).html