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Houston Math Prep
United States
Приєднався 9 вер 2011
The "Prep" is for prepare, and we hope that our material will allow you to prepare to do your absolute best work in mathematics. We believe that everyone is capable of learning mathematics given the right instruction and enough personal effort. It is our goal to provide resources for motivated individuals to make progress in their understanding of mathematics, and we believe that these types of resources should be freely available to anyone who has a desire to apply them.
Systems of Nonlinear Equations (Precalculus)
This precalculus video describes what systems of nonlinear equations are, and it works several examples of systems of nonlinear equations. We solve each example step-by-step. Some examples contain on solution, two solutions, three solutions, or four solutions to the system of nonlinear equations. This video is appropriate for a high school precalculus or college precalculus student, and it contains examples with parabolas, lines, circles, and cubic equations. Methods of algebra used in the video include substitution, elimination, factoring, quadratic formula, square root method, and synthetic division.
0:00 Introduction
1:45 List of examples
2:17 Example - Parabola & Line
6:22 Example - Circle & Line
11:02 Example - Circle & Parabola
15:53 Example - Circle & Parabola
19:46 Example - Cubic & Line
0:00 Introduction
1:45 List of examples
2:17 Example - Parabola & Line
6:22 Example - Circle & Line
11:02 Example - Circle & Parabola
15:53 Example - Circle & Parabola
19:46 Example - Cubic & Line
Переглядів: 191
Відео
Cramer's Rule (Precalculus & Linear Algebra)
Переглядів 69510 місяців тому
0:00 Where Cramer's Rule comes from 3:54 Using Cramer's Rule 2x2 Intro 5:35 2x2 Case - Example 1 8:41 2x2 Case - Example 2 10:55 When to choose the method or not 12:55 3x3 Case & Example 21:16 What if D = 0? 22:53 Always do this first with Cramer's Rule!
Determinants (Linear Algebra)
Переглядів 62910 місяців тому
0:00 What is a determinant? 2:49 1x1 Determinants 4:36 2x2 Determinants 12:02 3x3 Determinants 17:21 Saving time with calculations 24:59 Determinants of Identity Matrices In this video, we explain that a determinant is a real number associated with a square matrix. We mention a brief list of applications of determinants. We show you how to calculate the determinant of a 1x1 matrix, 2x2 matrix, ...
Identity Matrices & Transpose of a Matrix (Linear Algebra)
Переглядів 42210 місяців тому
0:00 Identity Matrices 8:26 Transpose of a Matrix This videos explains that multiplication by an identity matrix gives us the original matrix, and we show how to determine the size of the identity matrix to be used in any circumstance. Finally, we talk about the transpose of a matrix.
Matrix Addition & Multiplication (Linear Algebra)
Переглядів 39510 місяців тому
0:00 Matrix Addition & Subtraction 4:35 Scalar Multiplication of a Matrix 6:38 Matrix Multiplication 14:26 Matrix Multiplication is Not Commutative 16:02 Matrix Multiplcation - Example 2 21:11 Commutative Multiplication Example This video on basic matrix operations explains matrix addition and subtraction, scalar multiplication, and matrix multiplication. It contains examples of matrix addition...
The Matrix Equation Ax=b (Linear Algebra)
Переглядів 1,5 тис.Рік тому
0:00 Reminder About Linear Combinations 1:21 Building the Ax=b Equation 3:18 Examples of Matrix Equations 4:52 Different Views of Linear Systems 5:43 Example - Solving Ax=b for Vector x 13:52 Do Vectors Span R3? - Example 1 20:42 Do Vectors Span R3? - Example 2
Linear Combinations & Span of Vectors (Linear Algebra)
Переглядів 1,2 тис.Рік тому
0:00 General Scaling in R2 1:55 Span of a Vector in R2 3:30 Span & Linear Combinations in R2 8:38 Linear Combinations in General
Intro to Vectors in 2D Space (Linear Algebra)
Переглядів 918Рік тому
0:00 General introduction 1:06 Vector Notations 2:57 Vector Addition 5:51 Scalar Multiplication 8:43 Properties
Basic Variables & Free Variables (Linear Algebra)
Переглядів 1,7 тис.Рік тому
0:00 Leading Entries & Pivots (Reminder) 0:53 Reading Solution Sets From Matrices 2:17 Inconsistent Systems 2:57 Consistent Systems 3:20 Free Variables 4:40 Basic Variables 5:25 Example 1 7:05 Example 2 9:37 Example 3 11:51 Solution to Example From Previous Video This linear algebra video talks about how to use pivot entries and reduced echelon form to write solutions for systems. We cover the ...
The Row Reduction Algorithm (Linear Algebra)
Переглядів 1,9 тис.Рік тому
0:00 Intro & Reminder of Row Operations 0:37 Example 1 - Forward Phase (Echelon Form) 8:01 Example 1 - Backward Phase (Reduced Echelon Form) 13:40 Example 2 - Forward Phase (Echelon Form) 17:29 Example 2 - Backward Phase (Reduced Echelon Form) In this linear algebra video, we work through two complete examples of using elementary row operations and the row reduction algorithm on matrices. In ea...
Elementary Row Operations (Linear Algebra)
Переглядів 1,2 тис.Рік тому
0:00 What Are Elementary Row Operations? 0:23 Interchange (Swapping Rows) 0:59 Scaling (Multiply a Row By a Constant) 1:48 Replacement (Adding Rows to Other Rows) 3:09 Review & List of Row Operations This video explain the three elementary row operations for matrices in linear algebra. Elementary row operations are useful for elimination within a matrix and getting a matrix into echelon form or...
Echelon Forms, Pivots & Pivot Columns (Linear Algebra)
Переглядів 1,7 тис.Рік тому
0:00 Useful Views of Augmented Matrices 1:08 Echelon Form & Leading Entries 3:56 Reduced Echelon Form & Pivot Positions 5:01 Uniqueness of Reduced Echelon Form We explain what it means for a matrix to be in echelon form and reduced echelon form in this video from our linear algebra series. We begin by looking at examples of systems of linear equations and the augmented matrices that represent t...
Intro to Systems of Linear Equations (Linear Algebra)
Переглядів 2,4 тис.Рік тому
0:00 What is a System of Linear Equations? 0:59 Use of Variables in Linear Algebra 1:37 Solution Sets, Consistent & Inconsistent 3:15 Matrix Representation & Size 4:20 Coefficient & Augmented Matrices 5:18 Common Solution Methods in Beginning Algebra This video is an introduction to linear algebra, in particular systems of linear equations. We cover what a linear equation is and how we typicall...
Multiplication Rule for Probability (Example 1)
Переглядів 2,1 тис.3 роки тому
Example video that shows how the multiplication rule of probability works when drawing marbles without replacement from a bag.
Directional Derivatives (Calculus 3)
Переглядів 9 тис.3 роки тому
This Calculus 3 video gives an introduction to directional derivatives and explains how to calculate a directional derivative. We show you how level curves and the gradient give us a start to understanding the directional derivative at a point in the direction of a vector, and we explain the formula for a directional derivative. We then work three difference examples of finding the directional ...
The Gradient of a Function (Calculus 3)
Переглядів 9 тис.3 роки тому
The Gradient of a Function (Calculus 3)
Multivariable Chain Rule (Calculus 3)
Переглядів 7 тис.3 роки тому
Multivariable Chain Rule (Calculus 3)
Introduction to Partial Derivatives (Calculus 3)
Переглядів 7 тис.3 роки тому
Introduction to Partial Derivatives (Calculus 3)
Limits of Functions of Two Variables (Calculus 3)
Переглядів 7 тис.3 роки тому
Limits of Functions of Two Variables (Calculus 3)
Level Curves and Contour Maps (Calculus 3)
Переглядів 19 тис.3 роки тому
Level Curves and Contour Maps (Calculus 3)
Functions of Several Variables (Introduction)
Переглядів 13 тис.3 роки тому
Functions of Several Variables (Introduction)
Curvature of a Vector Function (Calculus 3)
Переглядів 7 тис.3 роки тому
Curvature of a Vector Function (Calculus 3)
Limits and Continuity of Vector-Valued Functions (Calculus 3)
Переглядів 11 тис.3 роки тому
Limits and Continuity of Vector-Valued Functions (Calculus 3)
Derivatives and Tangent Vectors (Vector-Valued Functions)
Переглядів 7 тис.3 роки тому
Derivatives and Tangent Vectors (Vector-Valued Functions)
Unit Tangent Vector & Principal Unit Normal Vector (Calculus 3)
Переглядів 9 тис.3 роки тому
Unit Tangent Vector & Principal Unit Normal Vector (Calculus 3)
Integration of Vector Functions (Calculus 3)
Переглядів 9 тис.3 роки тому
Integration of Vector Functions (Calculus 3)
Intercepts and Traces of Surfaces (in 3D Space)
Переглядів 8 тис.3 роки тому
Intercepts and Traces of Surfaces (in 3D Space)
Great expla great explanation thanks from South Africa
Oh my god thank you this helped me so much!!!!
I love you so much. You have saved my linear algebra grade
Thanks for this!
i never thought i’d see someone better than the organic chemistry professor
This is the best chanel for math! Thank you very much for explanation Mr. Houston!! <3
Thank you so much, amazing explanation, you have a great talent for teaching .
thank you for your service sir
thank you
Great video!
Really easy to understand thanks!
Thanx
*waves hand* "These are not the y-sub-ps you're looking for"
thank u!
Its good to see you back! I'm a fan of yours!
looking for such videos. This was so nice just the way you brake it down
I just wanted to say this has been really helpful! I have an exam and I never understood anything until I watched all of these videos.
A lot of thanks ❤
well done :)
Thanks a million! Your channel is the best for calc 3 and differential equations
I hope this would have existed when I was at college
Nice explanation
Excellent presentation: concise and superbly instructive!
Thank you for the lesson, Sir!
6:01 Do you see all those words on the screen there? My CALCULUS II textbook can't even figure out how to write those rules as concisely and clearly as this man does here. How come 100s of years of publishing math and they still haven't figured it out. I'm literally dumbfounded. I waste more time being mad at how dumb textbook authors are than I do just calmly learning from youtube videos lmao Boo Pearson!
great video and amazing explanations! thank you very much.
Underrated❤
Excellent explanation and presentation!
Thank you so much for this!
Explained this super clearly in a way that I can finally understand. Thank you for making this video!
Thank you so much for this explanation! Don't tell anybody I said this, but I love your videos more than Organic Chemistry Tutor's videos. You are my go-to study help before my tests. You're the reason I passed Calc 3 last semester. Cheers!
Great video! Great series! Thanx so much! 🎉 😊
Thankyou from Australia <3
Glad you're back.
👍
OMG. There can't be more straightforward and short yet extremely helpful video than that. May you live long! Thanks so much!
Glad it helped!
Interesting examples!
Great example! 😊
Cool examples! 😅
❤ 😊
Great! 🎉
Great lesson..thanx! 😊
Wow. You're back. Keep up the good work, please.
Thanks, will do!
Thank you so much for your help, and for making these videos! You are an excellent teacher, and the effort you put into these are apparent. I appreciate it alot.
You're very welcome!
Great! Love the tree diagrams! Very helpful! ❤ 😊
Excellent variety of examples! 🎉
Cool stuff! Thanx! ❤ 🎉 😅
😂Great!
Cool stuff! I love the 3-D graphs! 😅
Great! 🎉😂