A Return to Mathematics: Algebra 1

[khansaheb]

Definitely not. I never used another username here, nor was I even present before. I don't know who or why somebody should ignore me. I think you confuse me with logisticguy.

I am sorry - I was trying to respond to mathdad but clicked on the wrong post.

 

[mathdad]

Yes, moderation there is a problem, and basically the reason I signed in here.

This math site is a good site. There are a few annoying characters like every group or forum.

 

[mathdad]

Again you started asking useless questions. Old habits die hard......

No question is useless.

 

[mathdad]

Again you started asking useless questions. Old habits die hard......

I didn't return here to argue or waste my time posting questions that I already know the answers to. I want to slowly but surely build a decent algebra background that will enhance my chances to better understand courses beyond the basics. It makes no sense to reopen a precalculus textbook only to struggle with questions that are easy to grasp for those who took the time to systematically study mathematics.

Algebra 1 is a good place to start. I will ignore members who struggle to understand that pride comes before a fall. I don't know it all nor do I have time for anyone who thinks he or she is a walking math textbook. I came back here to revisit courses taken decades ago in NYC public schools and CUNY.

 

[khansaheb]

I came back here to revisit courses taken decades ago

You started posting here a week ago - but you have not posted SINGLE post with math-problem.

 

[mathdad]

A good search key is "<name of the course> + exam/test/problems + solutions + pdf". You can omit solutions if you like, but I would always add "+ pdf". It makes sure that you are more likely to end up on a university server somewhere on the globe rather than someone's private homepage.

I have decided not to review Algebra 1. Returning to Precalculus is a better idea. There's no reason to rush through the textbook. It was stupid for me to purchase an Algebra 1 book, which has not arrived in the mail. Questions will be posted as I travel through the textbook by Michael Sullivan.

 

[mathdad]

\(\displaystyle \bold{Quick \ exercise}\).

Solve the inequality.

\(\displaystyle x^2 - 10 > 3x\)

This problem was given to us in the first day of Calculus class. Our professor wanted to measure our precalculus skills. Believe it or not, all students failed to answer it.

Therefore, if you get it correctly from the first time, you are better than, say \(\displaystyle 30\) university students who were aiming for the Bachelor degree in that time.

\(\displaystyle \textcolor{indigo}{\bold{mathdad}}\), you may want to hear what comes next!

Our failure to answer this simple question tells you that you don't need to study Algebra, Trigonometry, and Geometry before Calculus.

\(\displaystyle \bold{Start \ Calculus \ first}\). When you struggle in some part, say this part is related to Trigonometry, go back to only this one thing in Trigonometry, study it, master it if needed, then go back and continue Calculus.

You don't need to learn all Algebra, all Trigonometry, and all Geometry before Calculus. The idea is just to study what you need, so these three subjects or more if needed will be like references, you go back and forth between them only on the thing that you are struggling at.

Many will not agree with what I am telling you. But why I am telling you this?

\(\displaystyle \bold{One}\)
Calculus is the most beautiful subject of all in mathematics. You have not studied it yet, so you have already missed half of your life. Life is too short, so at least enjoy the second half of it with Calculus.

\(\displaystyle \bold{Two}\)
Most of the other subjects, if not all, depend on Calculus. For example, physics subjects are beautiful because they are full of Calculus.

\(\displaystyle \bold{Three}\)
When you solve problems in any field, say, fluid mechanics, Calculus will always be the easy part in these problems but in the same time it is the most beautiful part.

The list is very long and I don't want to bore you. I just want to tell you that Studying doesn't depend on age and whatever your purpose is, just start it.

We, the [imath]30[/imath] students started the journey of Calculus while we weren't even able to solve a simple inequality. Don't be shocked if I told you that we are engineers now. And I am still solving Calculus and I will not stop in any single day.

\(\displaystyle \textcolor{blue}{\bold{Start}} \ \textcolor{red}{\bold{Calculus}} \ \textcolor{green}{\bold{first}}\).

I have decided not to review Algebra 1. Returning to Precalculus is a better idea. There's no reason to rush through the textbook. It was stupid for me to purchase an Algebra 1 book, which has not arrived in the mail. Questions will be posted as I travel through the textbook by Michael Sullivan.

 

[khansaheb]

I have decided not to review Algebra 1. Returning to Precalculus is a better idea. There's no reason to rush through the textbook. It was stupid for me to purchase an Algebra 1 book, which has not arrived in the mail. Questions will be posted as I travel through the textbook by Michael Sullivan.

Response #27 is copy-paste of response #26.

 

[logistic_guy]

I have decided not to review Algebra 1. Returning to Precalculus is a better idea. There's no reason to rush through the textbook. It was stupid for me to purchase an Algebra 1 book, which has not arrived in the mail. Questions will be posted as I travel through the textbook by Michael Sullivan.

I am very happy to hear this.



PreCalculus means that you are very close to Calculus.

I cannot wait to see the day when \(\displaystyle \textcolor{darkblue}{\bold{mathdad}}\) starts solving \(\displaystyle \textcolor{red}{\bold{Surface \ Integrals}}\) \(\displaystyle \longrightarrow \textcolor{indigo}{\bold{Advanced}} \ \textcolor{green}{\bold{Calculus}}\)

Good luck in your journey.

 

[mathdad]

I am very happy to hear this.



PreCalculus means that you are very close to Calculus.

I cannot wait to see the day when \(\displaystyle \textcolor{darkblue}{\bold{mathdad}}\) starts solving \(\displaystyle \textcolor{red}{\bold{Surface \ Integrals}}\) \(\displaystyle \longrightarrow \textcolor{indigo}{\bold{Advanced}} \ \textcolor{green}{\bold{Calculus}}\)

Good luck in your journey.

Thank you for the positive reply. Remember that I am not in a classroom setting. My school days ended after the Fall 1993 semester at Lehman College. This is just for fun, for learning, and to end boredom.

 

[jonah2.0]

Beer drenched reaction follows.

I have decided not to review Algebra 1. Returning to Precalculus is a better idea. There's no reason to rush through the textbook. It was stupid for me to purchase an Algebra 1 book, which has not arrived in the mail. Questions will be posted as I travel through the textbook by Michael Sullivan.

Stupidity aside, I hope it's the 9th edition (2012) of Precalculus by Sullivan which I mentioned earlier.

 

[mathdad]

Beer drenched reaction follows.


Stupidity aside, I hope it's the 9th edition (2012) of Precalculus by Sullivan which I mentioned earlier.

Beer drenched reaction follows.


Stupidity aside, I hope it's the 9th edition (2012) of Precalculus by Sullivan which I mentioned earlier.

It's the 10th Edition by Michael Sullivan. I purchased this book a few years back but never used it.

 

[logistic_guy]

It's the 10th Edition by Michael Sullivan.

I decided to solve all the problems in this book. I hope that this will not upset you. I might also post every single example in this book of \(\displaystyle \bold{Sullivan}\) as an exercise for the audience.

I am \(\displaystyle 100\%\) sure that I will be an \(\displaystyle \textcolor{lightblue}{\bold{Elite}}\) before I finish the book.

 

[mathdad]

I decided to solve all the problems in this book. I hope that this will not upset you. I might also post every single example in this book of \(\displaystyle \bold{Sullivan}\) as an exercise for the audience.

I am \(\displaystyle 100\%\) sure that I will be an \(\displaystyle \textcolor{lightblue}{\bold{Elite}}\) before I finish the book.

This is super cool. You will be able to guide me through this fabulous textbooks. I think you should post every single problem in this 10th Edition of Sullivan's textbook for others to practice.

 

[logistic_guy]

This is super cool. You will be able to guide me through this fabulous textbooks. I think you should post every single problem in this 10th Edition of Sullivan's textbook for others to practice.

Thank you a lot \(\displaystyle \textcolor{grey}{\bold{mathdad}}\) for this positive reply. I have already posted \(\displaystyle 9\) problems. Anyone, including you, is able to answer any of them from this moment. Even if I have already solved them, you can and should try to solve them yourself before looking at my solution.

This forum is still alive and we are going to make it active again by posting new problems every day.

 

[mathdad]

Thank you a lot \(\displaystyle \textcolor{grey}{\bold{mathdad}}\) for this positive reply. I have already posted \(\displaystyle 9\) problems. Anyone, including you, is able to answer any of them from this moment. Even if I have already solved them, you can and should try to solve them yourself before looking at my solution.

This forum is still alive and we are going to make it active again by posting new problems every day.

Where did you post 9 Precalculus problems? I want this site to be the best math site online for students worldwide. I want to be positively corrected and not put down in my effort as in years gone by. I want my effort to be a motivation for struggling math students. I will not rush through the book. There's no need to rush.

 

[logistic_guy]

Where did you post 9 Precalculus problems?

Click on \(\displaystyle \bold{Forums}\), then \(\displaystyle \bold{Intermediate/Advanced \ Algebra}\).

Or

Click directly on \(\displaystyle \bold{What's \ new}\) and the posts will appear on the main page.

I want this site to be the best math site online for students worldwide. I want to be positively corrected and not put down in my effort as in years gone by. I want my effort to be a motivation for struggling math students.

As long as you keep pushing forward, everything you want will eventually come true.

I will not rush through the book. There's no need to rush.

Of course, you don't have to rush. Even if you solve one problem monthly, no one will punish you. It is completely up to you how much you want to learn everyday. Just keep going.

I have future plans for you, \(\displaystyle \bold{mathdad}\), after you complete calculus III successfully. I will introduce you to a completely new topic to learn. You will start to solve problems in programming. Who knows, you may even learn how to solve Beam problems and compete with me!

For now, don't worry about this future plan! We will start it in \(\displaystyle 5\) to \(\displaystyle 10\) years from now. So, no need to rush in learning what you have now.

Your main goal nowadays is to master \(\displaystyle \textcolor{red}{\bold{PreCalculus}}\).

 

[mathdad]

Click on \(\displaystyle \bold{Forums}\), then \(\displaystyle \bold{Intermediate/Advanced \ Algebra}\).

Or

Click directly on \(\displaystyle \bold{What's \ new}\) and the posts will appear on the main page.


As long as you keep pushing forward, everything you want will eventually come true.


Of course, you don't have to rush. Even if you solve one problem monthly, no one will punish you. It is completely up to you how much you want to learn everyday. Just keep going.

I have future plans for you, \(\displaystyle \bold{mathdad}\), after you complete calculus III successfully. I will introduce you to a completely new topic to learn. You will start to solve problems in programming. Who knows, you may even learn how to solve Beam problems and compete with me!

For now, don't worry about this future plan! We will start it in \(\displaystyle 5\) to \(\displaystyle 10\) years from now. So, no need to rush in learning what you have now.

Your main goal nowadays is to master \(\displaystyle \textcolor{red}{\bold{PreCalculus}}\).

I am 60 years old. The average lifespan for men in the United States is about 74 years old. In terms of the future, the only thing I worry about is having enough money for retirement and a roof over my head. As far as math is concerned, it is just a fun game.

 

[logistic_guy]

I am 60 years old. The average lifespan for men in the United States is about 74 years old. In terms of the future, the only thing I worry about is having enough money for retirement and a roof over my head. As far as math is concerned, it is just a fun game.

I have checked all of your answers. They were correct. I am very impressed by your PreCalculus skills. I think that you are very ready to start Calculus I.

 

[mathdad]

I have checked all of your answers. They were correct. I am very impressed by your PreCalculus skills. I think that you are very ready to start Calculus I.

I may be able to understand Calculus 1 material now but I seriously want to complete the Sullivan textbook for the purpose of review. I took a Precalculus course (MA172) in the Spring 1993 semester at Lehman College. I got an A minus in the course. The course was taught by a student in graduate school preparing for his Doctorate Degree in Mathematics.