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Searching for mathematics
4
18:01
Sequences: Definition, Notation, and Examples
2
03:31
Introduction to Infinite Sequences and Series
2
16:56
Square Root of Unity, Cube Root of Unity, and Complex Rotations
09:08
Cubic Formula Proof Step 3: First Solution of y
11:08
Cubic Formula Proof Step 2: Applying Vieta's Substitution to Obtain a Quadratic Equation
3
15:09
Cubic Formula Proof Step 1: Removing x^2 term via PQ Substitution
1
06:35
Quadratic Formula by Completing the Square
17
01:28:00
Cubic Formula Proof
1
09:18
Exercise 1: Taylor Derivatives Equal the Function's Derivatives at x = a
2
23:10
Example 1: Approximating Cube Root Function by a 2nd Degree Taylor Polynomial
3
05:32
Recap on Power Series, Taylor Series, and Taylor Polynomials
01:55
Vector and Scalar Equations of a Plane
2
01:34
Position Vector is Parallel to the Vector Between 2 Points
2
06:34
Polar Coordinates: Example 2: Polar to Cartesian
6
19:01
Polar Coordinates: Example 3: Cartesian to Polar
7
07:22
Polar Coordinates: Example 4: Circle
3
05:53
Table of Computer Drawn Quadric Surfaces
1
06:16
Graphing a Hyperboloid of One Sheet in 3D
2
07:33
True-False Quiz Question 22: Multiplication of Terms of Series May NOT Equal Multiplication of Sums
1
01:26
True-False Quiz Question 17: Absolutely Convergent Series is Convergent
1
00:53
True-False Quiz Question 16: Monotonic Sequence Theorem
1
01:29
True-False Quiz Question 15: Divergent Sequences Can Multiply to Form a Convergent Sequence
2
01:19
True-False Quiz Question 14: Two Divergent Series Can Form a Convergent Series
2
07:35
True-False Quiz Question 13: Determining Derivatives via Coefficients of a Power Series
3
02:05
True-False Quiz Question 12: A Divergent Series is Also Absolutely Divergent
3
03:46
True-False Quiz Question 11: Convergent Sequence r^n when |r| is less than 1
6
15:43
🔺Giza Pyramid Geometry: Pi, e, and Golden Ratio Encoded in the Great Pyramid of Giza
6
10:27
I am no longer editing my videos
2
01:58
True-False Quiz Question 10: Maclaurin Power Series for 1/e
1
01:18
True-False Quiz: Question 9: Misuse of the Comparison Test
1
03:15
True-False Quiz Question 8: Applying the Ratio Test to Show Convergence
2
05:48
True-False Quiz Question 7: When the Ratio Test is Inconclusive
1
03:37
True-False Quiz Question 6: Divergence by Radius of Convergence Theorem
2
12:39
True-False Quiz Question 5: Changing the Coefficients of a Power Series
2
12:35
True-False Quiz Question 4: Radius of Convergence Theorem and Comparison Test
1
01:20
True-False Quiz: Question 3: Infinite Limits of a_n and a_(n+1) are the Same
2
02:51
True-False Quiz Question 2: Divergent p-series
5
03:03
True-False Quiz Question 1: Series May or May NOT Converge if Limit of Terms = 0
4
04:31
Review Question 12: Binomial Series
1
09:29
Review Question 11: Table of Maclaurin Series
2
06:55
Review Question 10: Taylor and Maclaurin Series
3
09:32
Review Question 9: Derivative and Integral of Power Series
1
09:22
Review Question 8: Power Series, Radius and Interval of Convergence
2
18:57
Review Question 7: Estimating Sums for the Integral, Comparison, and Alternating Series Tests
17
01:44
Review Question 6: Absolutely Convergent and Conditionally Convergent Series
1
10:32
Review Question 5: Recap on Tests for Convergence or Divergence of Infinite Series
2
01:22
Review Question 4: Limit of the Series Terms vs. Partial Sums
05:36
Review Question 3: Geometric Series and p-Series
1
03:28
Review Question 2: Monotonic Sequence Theorem
1
05:31
Review Question 1: Convergent Sequence vs Convergent Series
13
09:33
3D to 2D Projection Formula: PROOF
2
53:51
Putting 3D in Perspective: Projecting a 3D Rectangle to 2D
02:07
Putting 3D in Perspective Question 3: Verifying our Projection with Sight Lines
3
16:34
Putting 3D in Perspective Question 2: Projecting a 3D Line to 2D
4
01:04:53
Putting 3D in Perspective Question 1: What Points Should Be Clipped?
5
02:24:46
Laboratory Project: Putting 3D in Perspective
23:00
Problems Plus 26: Partial Sum of Harmonic Series is NOT an Integer
1
21:48
Problems Plus 25: Differentiating Multiple Power Series
1
52:05
Problems Plus 24: Explicit Formula for the n-th Fibonacci Number 🤯
11:54
Problems Plus 23: Sum of Series of Reciprocals of Positive Integers Without the Digit 0
23:28
Problems Plus 22: Spiraling Triangle Series
11:10
Problems Plus 21: Finding the Solutions of a Maclaurin Cosine Series
4
26:46
Problems Plus 20: Sum of Infinite Series Equals ln 2. Amazing!
4
13:45
Problems Plus 19: Sum of Inverse Tan Series Using Exact Trig Ratios
2
29:25
Problems Plus 18: Finding the Center of a Polygonal Spiral
3
38:09
Problems Plus 17: Integral of x^x
1
15:13
Problems Plus 16: The Number e Defined as a Recursive Series
2
22:10
Problems Plus 15: Packing Infinite Circles Inside an Equilateral Triangle
1
12:08
Problems Plus 14: NEXT LEVEL Algebraic Manipulation for a Division of 2 P-Series
7
20:49
Problems Plus 12: Can You Stack Books Infinitely Far Away from the Table?
2
13:36
Problems Plus 11: Solving Log Series Using a Telescoping Sum
3
15:45
Problems Plus 10: Solving Infinite Limits Using the Method of Analogy
26:17
Problems Plus 4: Limit of the Angle of a Spiraling Triangle Sequence
3
29:53
Problems Plus 3: Trigonometric Identity and Sum of Infinite Series
1
11:29
Problems Plus 2: Where is the Function Continuous?
3
00:57
Multiply in seconds!!!
2
05:05
Exercise 1: If a, b, and c are not all zero then ax + by + cz + d = 0 is a plane
3
17:15
Distance Between Two Skew Lines
3
07:17
Distance Between Two Parallel Planes
2
10:50
Distance From a Point to a Plane + Proof
5
22:09
Polar Coordinates: Example 6 Part 1: Sketching a Circle
1
11:35
Intersection of Planes Forms a Line
2
18:36
Linear Equation of a Plane + Examples
3
14:27
Vector and Scalar Equations of a Plane
3
10:56
Example on Skew Lines: Lines that Aren't Parallel and Don't Intersect
5
12:02
Polar Coordinates: Example 6: Part 2: Polar Circle to Cartesian
4
13:51
Vector Equation of a Line Segment
2
22:16
Direction Numbers and Symmetric Equations of a Line
2
15:16
Parametric Equations of a Line
3
09:08
Vector Equation of a Line
4
03:01:51
Vectors and the Geometry of Space: Equations of Lines and Planes
2
08:43
Angles in Circles: Triangle with Diameter Hypotenuse
5
12:01
Examples on Spheres
3
04:11
Equation of a Sphere
3
02:56
Graphing the y = x Plane in 3D Coordinates
3
04:43
Circle and Cylinder in 3D Coordinates
5
10:03
Vertical and Horizontal Planes
4
20:28
Introduction to 3D Coordinate Systems
2
27:50
Vectors as Forces in Physics and Engineering
2
07:44
Unit Vectors
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