✦ Diagonalization / Diagonalizing a Matrix, Part 2 ✦ Patrick J 2026-09-22 | ✦ Diagonalization / Diagonalizing a Matrix, Part 2 ✦
Hypothesis Test : Performing a Full Hypothesis Test, Ex 1 patrickJMT 2024-04-29 | In this video, I show how to perform a one-tailed hypothesis test. In this video we discuss: formulating the null hypothesis and the alternative hypothesis, test statistic, one-tailed and two-tailed hypothesis testing, the central limit theorem, the decision rule, type 1 error, level of significance and more.This video would be suitable as a nearly full lecture in a statistics class with a few extra supplemental examples.
Statistics and Hypothesis Testing Part 2 of 2 patrickJMT 2024-04-23 | This video serves as an introduction to hypothesis testing in statistics. I discuss the the null hypothesis, the alternative hypothesis, type 1 error, type 2 error, discuss a real life example and work through the implications of our decisions. We also talk about type A correct decision and type B correct decision. In addition, level of significance, and the power of the statistical test is discussed. The relationship between alpha, beta, n the sample size is discussed.I finish by talking about test statistics.This video introduces terminology and concepts however I do not perform an actual hypothesis test using data and computations in this video.
Statistics and Hypothesis Testing Part 1 of 2 patrickJMT 2024-04-22 | This video serves as an introduction to hypothesis testing in statistics. I discuss the the null hypothesis, the alternative hypothesis, type 1 error, type 2 error, discuss a real life example and work through the implications of our decisions. This video introduces terminology and concepts however I do not perform an actual hypothesis test using data and computations in this video.
2.4 PreAlgebra Problem Solving and Word Problems patrickJMT 2024-04-16 | In this video we begin my looking at literal equations and discuss many examples of solving or isolating a variable. We look at other examples of applied linear equations involving question concerning simple interest, consecutive numbers, and consecutive odd numbers.We also examine how to take an (English) statement and translate it to the language of mathematics.This video is appropriate for any student taking a PreAlgebra course.
PreAlgebra 2.3 Combining Rules to Solve Equations patrickJMT 2024-04-15 | In this video, I do a combination of sections 2.1 and 2.2 to solve linear equations. Many more examples of solving linear equation are shown including equations involving fractions. For the equation involving fractions, we show how to get rid of fractions by multiplying both sides of the equation by the LCM of the denominators.After that, we discuss identities and contradictions, showing linear equations that have infinitely many solutions and no real solution.high school math, LCM, fraction, denominator, linear equation, solve, solving, tutorial, how to, help
PreAlgebra 2.2 Solving Equations Using the Multiplication Property patrickJMT 2024-04-05 | In this video, I show how to use the 'multiplication property' to solve linear equations. I show how to solve a variety of different linear equations, expanding upon what I showed in section 2.1. We solve basic linear equations that one would first encounter in an algebra course.
PreAlebra 2.1 Solving Equations Using the Addition Property patrickJMT 2024-03-26 | In this video, we begin studying linear equations. We start by discussing what a linear equation is, how to determine if a value is a solution of a linear equation, and how to find solutions of some linear equations by using the addition property.This video will serve as the first step in showing how to solve linear equations.
PreAlgebra 1.7 Multiplying and Dividing Terms patrickJMT 2024-02-29 | In this video I begin by showing a quick review of exponential notation with numbers only.We then discuss exponential notation using variables and show how to multiply terms with like bases by adding exponents giving us a property of exponents. Likewise we apply the same procedure to show how to divide like terms by subtracting exponents. Many examples of applying these two properties of exponents are shown. We also discuss what raising a nonzero variable to the power of zero produces numerically.I do not discuss negative or fractional exponents in this video.
PreAlgebra 1.6 Adding and Subtracting Like Terms patrickJMT 2024-02-21 | In this video, I talk about what a 'term' is in Algebra. We discuss what it means to be a 'like term' and how to add and subtract like terms. I also discuss how to find the number of terms in an expression as well as the numerical coefficient of a term.
PreAlgebra 1 5 Evaluating Algebraic Expressions patrickJMT 2024-02-18 | In this video, we evaluate algebraic expressions using substitution. That is, we assign a numerical value to each variable and simplify the resulting numerical expression using the order of operations.We also discuss what it means for an equation (or a statement) to be true or false.
PreAlgebra 1.4 Multiplying and Dividing Real Numbers patrickJMT 2024-02-05 | In this video I show how to multiply / divide numbers with the same sign and with opposite signs. I also look at the multiplicative inverse property and the additive inverse property. Lastly I quickly review the order of operations and work a bunch of examples.
PreAlgeba 1.3 Adding and Subtracting Real Numbers patrickJMT 2024-02-01 | In this video I discuss how to add and subtract real numbers that have the same and different signs, talk about the additive inverse and also the additive identity and work a few examples.
PreAlgebra 1.2 Properties of Real Numbers patrickJMT 2024-01-30 | In this video I discuss the commutative property of addition and multiplication, the associative property of addition and multiplication, and also the distribution property. We take a look at a few different examples to illustrate these properties.
PreAlgebra 1.1 Understanding Algebraic Expressions patrickJMT 2024-01-29 | In this video we do a gentle warmup moving away from arithmetic and into algebra. I discuss notation, show how to write 11 different algebraic expressions, and how to determine if a something qualifies as an expression or not.
Cylinders and Quadratic Surfaces, Part 2 of 2 patrickJMT 2023-09-18 | Here I show how to solve the questions asked at the end of part 1.I show how to graph 3 cylinders, how to sketch traces, and how to put two equations into standard form.This is material one could expect to see during a multivariable Calculus course.
Cylinders and Quadratic Surfaces Part 1 of 2 patrickJMT 2023-09-09 | Here we talk about the multivariable Calculus concepts of cylinders, traces, quadratic surfaces and classifying them.I show a couple of basic examples of graphing cylinders by hands, show the notion of traces and produce a rough graph followed by graphs from WolframAlpha.com (thanks Wolfram!) along with a few more graphs. The video ends with questions for you to practice that I will complete in part 2 of 2.Thanks to my supporters on Patreon: patreon.com/patrickjmt
Filling in Venn Diagrams with Numbers patrickJMT 2022-09-01 | In this video I work out multiple examples of filling in Venn Diagrams with numbers to represent and / or (intersection and union) of events.I use examples containing two sets (so two circles) and also three sets (three circles).
Finding Real Solutions of Quadratic Equations: Everything You Ever Need to Know patrickJMT 2022-08-29 | Here I show a few examples of finding real solutions to quadratic equations. If you know these techniques, there is really nothing else you ever really need to know. Either factor by trial and error, use factoring by grouping (I personally never use this one) or the quadratic formula. Boom: done.
Blitz Chess with PatrickJMT patrickJMT 2022-03-11 | Powered by Restream https://restre.am/ytTrying to get my stream set up a bit better. Just a few blitz games to test things out :)
Early Morning Blitz Chess! patrickJMT 2022-03-08 | Woke up waaaaayyyyy too early and decided to play some blitz chess for a bit!
Properties of Definite Integrals (Even + Odd Functions and More) patrickJMT 2022-02-28 | In this video I look at properties of definite integrals including even and odd functions, splitting integrals up and flipping limits of integration. I then solve 4 examples using these properties.
MCCT Airthings Masters FINALS Match w/ IM Kostya & PatrickJMT | !tourney !hosts patrickJMT 2022-02-26 | ...
MCCT Airthings Masters FINALS Match w/ IM Kostya & PatrickJMT | !tourney !hosts patrickJMT 2022-02-26 | ...
MCCT Airthings Masters Finals Match w/ IM Kostya & PatrickJMT patrickJMT 2022-02-25 | Today Magnus Carlsen and Ian Nepomniachtchi start day one of two of their finals match.
MCCT Airthings Masters Day 6 w/ IM Kostya & PatrickJMT patrickJMT 2022-02-25 | We are covering day 6 of the Airthings Masters Champions Chess Tour! Come join us and ask questions, give comments or just help us out :)
❖ Rational Equations and Extraneous Solutions ❖ patrickJMT 2022-02-24 | In this video I explain what an 'extraneous solution' is and solve a rational equation that produces one usable solution and one extraneous solution.
Three Tricky Limits Involving Trig! patrickJMT 2022-02-21 | Make sure you know some important limit results and some trig identities!
What is a radian? patrickJMT 2021-10-26 | So I don't give an exact definition but I think my explanation is close enough to make sense. :)I made it into a PhD program and taught a ton actually without knowing this bit of info. I just knew how to work the unit circle. Never too old to learn some basic info!
IB Sample Exam Q10, Paper 1 patrickJMT 2021-10-12 | This video is the last video for paper 1 of the Sample IB exam.In this video, you have to derive a formula to show the amount of time a farmer takes to cross a field and reach another point. After finding the formula, you then have to find where he should travel to along a road in order to minimize his time. You must justify this using calculus.
IB Sample Exam Question, Paper 1 Q9 patrickJMT 2021-09-30 | This is the solution to question 9, Paper B, long answers from the sample IB exam.In this question, a student has to know about the discriminant, the number of solutions to a quadratic based on the discriminant, how to complete the square and more. It is sort of an 'in depth' question about quadratic functions.
Casios Great Back to School Calculator! patrickJMT 2021-09-29 | Please note, this video is sponsored by Casio.Need a great calculator? Head over to Casio and grab a fx-9750GIII model! Priced at less than $60, it is super affordable and a great option for back to school.It has tons of functionality and can do everything one would want from a handheld calculator.Some important websites from Casio:Buy the calculator here: casioeducation.com/products/calculators/graphingCasio education: casioeducation.comStudent and parent resources: casioeducation.com/students-parentsEducators and Admins info: casioeducation.com/educatorsClasspad: classpad.usWebinars: casioeducation.com/educators/webinars#ad #sponsored
Introduction to Random Variables patrickJMT 2021-09-26 | Check out GeeklyEDU! youtube.com/c/geeklyeduThey have videos on math, physics, biology, statistics and more. They have lots of good stuff there so check them out!!This video gives an introduction to random variables in statistics / probability. In this video I only look at discrete random variables but am hoping to give you a taste of what they are about. In the follow up video I will look at expected value of a random variable.
IB Sample Exam Question, Paper 1 Q8 patrickJMT 2021-09-24 | This is the solution to question 8, Paper B, long answers from the sample IB exam.In this video, we have to calculate some values using expected value and the fact that the sum of probabilities must add up to 1.
IB Sample Exam Question, Paper 1 Q7 Supplement patrickJMT 2021-09-22 | I was corrected by someone that you should absolutely be prepared to do u-substitution on the IB exam so I have made a quick refresher on u-sub. I have lots of other videos that also cover u-substitution if you need to see more examples.
IB Sample Exam Question, Paper 1 Q7 patrickJMT 2021-09-21 | This video shows the solution to question 7 of the sample IB exam.In this video calculate a definite integral involving a logarithm.
IB Sample Exam Question, Paper 1 Q6 patrickJMT 2021-09-20 | This video shows the solution to question 6 of the sample IB exam.In this video we do a 'brute force' method to find a solution a question but also review some useful formulas and ideas involving summation notation.
IB Sample Exam Question, Paper 1 Q5 patrickJMT 2021-09-16 | This video show the solution to question number 5 from the sample IB exam, Paper 1.In this video you must find the slope-intercept form of a line that is perpendicular to another given line.
IB Sample Exam Question, Paper 1 Q4 patrickJMT 2021-09-15 | This is the solution to the Sample IB exam, Paper 1, question 4.In this video you are simply using properties of logarithms to arrive at a simplified expression involving a few different logarithms.
IB Sample Exam Question, Paper 1 Q3 patrickJMT 2021-09-13 | This is third question from the sample IB exam.In this video we cover composition of functions as well as finding inverses.
IB Sample Exam Question, Paper 1 Q2 patrickJMT 2021-09-09 | This question answers the second question of the paper 1 exam for the sample IB exam.In this question, we have to find the measure of an angle of a circle that is subtended by a piece of wire along the perimeter.
IB Sample Exam Paper 1 Q1 patrickJMT 2021-09-06 | This video shows the solution to the first question of the sample IB exam from paper 1.This video covers some basic derivatives.
IB Exam Sample Test Questions patrickJMT 2021-09-01 | Just an announcement about the IB exam sample test that I am going to cover. The link to the first video will be posted when ready. (more below!)Link to this pdf: drive.google.com/file/d/1G7uy9dtnUWXNQD1uWBlQ3uAA9ihxRkQH/view?usp=sharingNeed a private tutor? Contact me at my website patrickjmt.com No promises but I might be able to help.
Bearings Precalculus IB Exam Question patrickJMT 2021-08-30 | This video covers example 3 from my previous video about bearings which can be found here: youtube.com/watch?v=SrHw5wyz47MThis is a sample IB exam question of medium / hard difficulty.
