Sometimes my eyes are full of tears of happiness by studying from you. You always try to understand how the child feels and understands... Love you Sir .Love from INDIA....❤
Professor Leonard, this video/lecture explains the Properties of Logarithms clear and to the point, however after property four the equal signs are missing from the examples. I hope students watching this video/lecture notice this error.
After logarithms, what other subjects are there to cover for Precalculus? And what course will you cover after this? Have you thought about tackling complex numbers and calculus on the complex numbers, or linear algebra, any time soon? I think those are the only ""basic"" college math courses left for you to cover
@@forrestkennedy5458: No. Linear algebra is taken after calculus 3. Trigonometry, Conics, Matrix Algebra, Mathematical Induction, limits, and a few more review topics follow in the precalculus course.
@Forrest Kennedy : No. Linear algebra is taken after calculus 3. Trigonometry, Conics, Matrix Algebra, Mathematical Induction, limits, and a few more review topics follow in the precalculus course.
@@guidofeliz8384 I mean, what I meant is that he's already done Calculus 1-3, Diff Equations and now Precalculus. The only courses left would be the 2 I just mentioned. That would cover all the course your standart engineering/physics major requires you to see (Since obviously mathematicians go on to see other courses after that, but for most people pursuing a science major that'd be it for math)
@@RMaster7 : He promised to do Calculus 1-3 again in greater detail. Look at his introduction video clip. He will cover most math courses taught at the high school and undergraduate college level. He will include Linear Algebra but not any time soon. He will also include Geometry and Statistics and Probability in greater detail.
After logs comes Trigonometry, Conics, Matrix Algebra, Mathematical Induction, limits, and a few more review topics follow in the precalculus course. We still have a long way to go before Calculus 1.
@11:10 - Regarding the power property: Is it correct that there is a limitation to the power property usage. For example if one had log(x^2) [where x could be a negative value as when squared it becomes positive] and then we applied the power property as 2log(x) it could result in only partial solutions if we had an equation and was solving for x. When graphed, log(x^2) does not equal 2log(x). Is my understanding correct? Here is an example case (though it is better to use the exponent laws to solve) it is used to illustrate my understanding of the limitations of the power property: ibb.co/G7qnrB6
@@bigshaqsmathematicalinstit3318 : Ok. I took and scored an A minus in this course in 1993. In fact, I tutor students online taking precalculus and other high school math courses.
Sometimes my eyes are full of tears of happiness by studying from you. You always try to understand how the child feels and understands... Love you Sir .Love from INDIA....❤
Lots for passion for math. I wish the youth these days were as inspired as you.
this man deserves either a Field's Medal or a Nobel Peace Prize
is he spreading peace😅
This is an extremely underrated topic
These videos are really helping my first year studying maths!
OMG, it's been so long since I've watched one of your videos. I hope that you are doing well :)
Great videos for people of all ages.
The superman of college mathematics. Thank you.
Congrats on 703K, Professor. 🎈
Thank you Sir.. God Bless you!
Professor Leonard (My inspiration)
Thanks again Proffesor Leonard
Professor Leonard, this video/lecture explains the Properties of Logarithms clear and to the point, however after property four the equal signs are missing from the examples. I hope students watching this video/lecture notice this error.
Hope you're well professor!
you’re a hero ! tysm🥺
After logarithms, what other subjects are there to cover for Precalculus? And what course will you cover after this? Have you thought about tackling complex numbers and calculus on the complex numbers, or linear algebra, any time soon? I think those are the only ""basic"" college math courses left for you to cover
linear algebra is after this series. im hoping linear algebra starts soon. ill have to take that next fall.
@@forrestkennedy5458:
No. Linear algebra is taken after calculus 3. Trigonometry, Conics, Matrix Algebra, Mathematical Induction, limits, and a few more review topics follow in the precalculus course.
@Forrest Kennedy :
No. Linear algebra is taken after calculus 3. Trigonometry, Conics, Matrix Algebra, Mathematical Induction, limits, and a few more review topics follow in the precalculus course.
@@guidofeliz8384 I mean, what I meant is that he's already done Calculus 1-3, Diff Equations and now Precalculus. The only courses left would be the 2 I just mentioned. That would cover all the course your standart engineering/physics major requires you to see (Since obviously mathematicians go on to see other courses after that, but for most people pursuing a science major that'd be it for math)
@@RMaster7 :
He promised to do Calculus 1-3 again in greater detail. Look at his introduction video clip. He will cover most math courses taught at the high school and undergraduate college level. He will include Linear Algebra but not any time soon. He will also include Geometry and Statistics and Probability in greater detail.
After logs comes Trigonometry, Conics, Matrix Algebra, Mathematical Induction, limits, and a few more review topics follow in the precalculus course. We still have a long way to go before Calculus 1.
He has the entire calculus playlist on his channel! Check it out!
He's had a calc 1 playlist up for like 6 years
@@danielnelson6131 :
He is going to revisit Calculus 1-3 in greater detail. Read: IN GREATER DETAIL.
@11:10 - Regarding the power property: Is it correct that there is a limitation to the power property usage. For example if one had log(x^2) [where x could be a negative value as when squared it becomes positive] and then we applied the power property as 2log(x) it could result in only partial solutions if we had an equation and was solving for x. When graphed, log(x^2) does not equal 2log(x). Is my understanding correct?
Here is an example case (though it is better to use the exponent laws to solve) it is used to illustrate my understanding of the limitations of the power property:
ibb.co/G7qnrB6
I am kinda curious when Trigonometry will start.
Trigonometry will start after advanced exponential and logarithmic equations and word problems in the same topic.
@@guidofeliz8384 he still has conic sections, systems of equations, series and sequences, and intro to counting techniques.
@@bigshaqsmathematicalinstit3318 :
Ok. I took and scored an A minus in this course in 1993. In fact, I tutor students online taking precalculus and other high school math courses.
Thnks sir
How can I convince you to teach linear algebra in spring 2021... and history of mathematics. Asking for a friend. 😅
hi sir, is it possible for you to answer some of my questions? it would be great if there was a way for me to connect
Then what’s is log1 to a equal
It’s log1 to A equal
11.46
انتهت حلول الارض واتجهنا للاجانب نقرا عليهم
2024-9-26
neat
1st comment ❤️
Will you marry me? you can whisper sweet equations in my ears as I fall asleep in your arms?
AHHAHA