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dee-em
Posts: 6,451
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6/20/2015 10:53:45 PM
Posted: 1 year ago
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?
Diqiucun_Cunmin
Posts: 2,710
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6/20/2015 11:31:29 PM
Posted: 1 year ago
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.
The thing is, I hate relativism. I hate relativism more than I hate everything else, excepting, maybe, fibreglass powerboats... What it overlooks, to put it briefly and crudely, is the fixed structure of human nature. - Jerry Fodor

Don't be a stat cynic:
http://www.debate.org...

Response to conservative views on deforestation:
http://www.debate.org...

Topics I'd like to debate (not debating ATM): http://tinyurl.com...
Unbelievable.Time
Posts: 52
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6/20/2015 11:33:43 PM
Posted: 1 year ago
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

I have some knowledge about algebra. But, I want to drill in deeper. I am not home-schooled. Coversely, I attend public school. I wish to finish everything about Algebra regardless of linear, abstract and so.
Unbelievable.Time
Posts: 52
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6/20/2015 11:34:46 PM
Posted: 1 year ago
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.
Diqiucun_Cunmin
Posts: 2,710
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6/20/2015 11:36:43 PM
Posted: 1 year ago
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.
The thing is, I hate relativism. I hate relativism more than I hate everything else, excepting, maybe, fibreglass powerboats... What it overlooks, to put it briefly and crudely, is the fixed structure of human nature. - Jerry Fodor

Don't be a stat cynic:
http://www.debate.org...

Response to conservative views on deforestation:
http://www.debate.org...

Topics I'd like to debate (not debating ATM): http://tinyurl.com...
dee-em
Posts: 6,451
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6/20/2015 11:39:20 PM
Posted: 1 year ago
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

That's not the impression I got. Perhaps he should have been more specific about the nature of his difficulty. If it was me, I would go to the Classroom or Head Teacher for Maths at my school and ask for his advice and/or some lunchtime tutoring. Most mathematics teachers I have encountered are more than willing to help when someone is sincere.
Unbelievable.Time
Posts: 52
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6/21/2015 12:13:52 AM
Posted: 1 year ago
At 6/20/2015 11:36:43 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.

Yes, you are right. I have them built-in. Actually, I want to know how do people manage to finish whole part of Algebra.
Unbelievable.Time
Posts: 52
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6/21/2015 12:16:28 AM
Posted: 1 year ago
At 6/20/2015 11:39:20 PM, dee-em wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

That's not the impression I got. Perhaps he should have been more specific about the nature of his difficulty. If it was me, I would go to the Classroom or Head Teacher for Maths at my school and ask for his advice and/or some lunchtime tutoring. Most mathematics teachers I have encountered are more than willing to help when someone is sincere.

Noted. But, what I seek for is advice to finish the whole Algebra. It is inevitable that there must be difficulty in certain subject. As for me, like anybody else, does make mistakes in Mathematics and ask teachers and friends for help.
Diqiucun_Cunmin
Posts: 2,710
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6/21/2015 12:17:19 AM
Posted: 1 year ago
At 6/21/2015 12:13:52 AM, Unbelievable.Time wrote:
At 6/20/2015 11:36:43 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.

Yes, you are right. I have them built-in. Actually, I want to know how do people manage to finish whole part of Algebra.

What do you mean by 'whole part'? I'm not sure if you can learn everything there is to learn in algebra, unless you're a maths professor at university or something.

I think you really should tell us what you are working on at the moment. What are you currently studying and what are your plans?
The thing is, I hate relativism. I hate relativism more than I hate everything else, excepting, maybe, fibreglass powerboats... What it overlooks, to put it briefly and crudely, is the fixed structure of human nature. - Jerry Fodor

Don't be a stat cynic:
http://www.debate.org...

Response to conservative views on deforestation:
http://www.debate.org...

Topics I'd like to debate (not debating ATM): http://tinyurl.com...
Unbelievable.Time
Posts: 52
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6/21/2015 12:19:33 AM
Posted: 1 year ago
At 6/21/2015 12:17:19 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:13:52 AM, Unbelievable.Time wrote:
At 6/20/2015 11:36:43 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.

Yes, you are right. I have them built-in. Actually, I want to know how do people manage to finish whole part of Algebra.

What do you mean by 'whole part'? I'm not sure if you can learn everything there is to learn in algebra, unless you're a maths professor at university or something.

I think you really should tell us what you are working on at the moment. What are you currently studying and what are your plans?

Still being a High School student. Algebra is a part of the Mathematics. I wish to finish the part of them.
Diqiucun_Cunmin
Posts: 2,710
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6/21/2015 12:20:52 AM
Posted: 1 year ago
At 6/21/2015 12:19:33 AM, Unbelievable.Time wrote:
At 6/21/2015 12:17:19 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:13:52 AM, Unbelievable.Time wrote:
At 6/20/2015 11:36:43 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.

Yes, you are right. I have them built-in. Actually, I want to know how do people manage to finish whole part of Algebra.

What do you mean by 'whole part'? I'm not sure if you can learn everything there is to learn in algebra, unless you're a maths professor at university or something.

I think you really should tell us what you are working on at the moment. What are you currently studying and what are your plans?

Still being a High School student. Algebra is a part of the Mathematics. I wish to finish the part of them.

Oh, you mean the entire algebra curriculum? Then you need to tell us what there is in your curriculum...
The thing is, I hate relativism. I hate relativism more than I hate everything else, excepting, maybe, fibreglass powerboats... What it overlooks, to put it briefly and crudely, is the fixed structure of human nature. - Jerry Fodor

Don't be a stat cynic:
http://www.debate.org...

Response to conservative views on deforestation:
http://www.debate.org...

Topics I'd like to debate (not debating ATM): http://tinyurl.com...
Unbelievable.Time
Posts: 52
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6/21/2015 12:22:14 AM
Posted: 1 year ago
At 6/21/2015 12:20:52 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:19:33 AM, Unbelievable.Time wrote:
At 6/21/2015 12:17:19 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:13:52 AM, Unbelievable.Time wrote:
At 6/20/2015 11:36:43 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.

Yes, you are right. I have them built-in. Actually, I want to know how do people manage to finish whole part of Algebra.

What do you mean by 'whole part'? I'm not sure if you can learn everything there is to learn in algebra, unless you're a maths professor at university or something.

I think you really should tell us what you are working on at the moment. What are you currently studying and what are your plans?

Still being a High School student. Algebra is a part of the Mathematics. I wish to finish the part of them.

Oh, you mean the entire algebra curriculum? Then you need to tell us what there is in your curriculum...

What is in my curriculum is almost same as yours. But, I want to, like you said, finish the entire algebra curriculum.
Diqiucun_Cunmin
Posts: 2,710
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6/21/2015 1:30:19 AM
Posted: 1 year ago
At 6/21/2015 12:22:14 AM, Unbelievable.Time wrote:
At 6/21/2015 12:20:52 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:19:33 AM, Unbelievable.Time wrote:
At 6/21/2015 12:17:19 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:13:52 AM, Unbelievable.Time wrote:
At 6/20/2015 11:36:43 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.

Yes, you are right. I have them built-in. Actually, I want to know how do people manage to finish whole part of Algebra.

What do you mean by 'whole part'? I'm not sure if you can learn everything there is to learn in algebra, unless you're a maths professor at university or something.

I think you really should tell us what you are working on at the moment. What are you currently studying and what are your plans?

Still being a High School student. Algebra is a part of the Mathematics. I wish to finish the part of them.

Oh, you mean the entire algebra curriculum? Then you need to tell us what there is in your curriculum...

What is in my curriculum is almost same as yours. But, I want to, like you said, finish the entire algebra curriculum.

I guess I could give you some advice:
-Always look at past papers. If possible, get your hands on the past papers in the last 20 years or so, sorted by topic. You want to know the most common question types for each topic.
-Look at the marking schemes. Sometimes, there are 'skippable steps' and you can use a calculator to handle those.
-Try to look at other exams. Exam boards don't like it when all their questions are predictable, so they'll likely steal some questions from other countries that have never appeared in their exams before.
The thing is, I hate relativism. I hate relativism more than I hate everything else, excepting, maybe, fibreglass powerboats... What it overlooks, to put it briefly and crudely, is the fixed structure of human nature. - Jerry Fodor

Don't be a stat cynic:
http://www.debate.org...

Response to conservative views on deforestation:
http://www.debate.org...

Topics I'd like to debate (not debating ATM): http://tinyurl.com...
Unbelievable.Time
Posts: 52
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6/21/2015 2:11:17 AM
Posted: 1 year ago
At 6/21/2015 1:30:19 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:22:14 AM, Unbelievable.Time wrote:
At 6/21/2015 12:20:52 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:19:33 AM, Unbelievable.Time wrote:
At 6/21/2015 12:17:19 AM, Diqiucun_Cunmin wrote:
At 6/21/2015 12:13:52 AM, Unbelievable.Time wrote:
At 6/20/2015 11:36:43 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 11:34:46 PM, Unbelievable.Time wrote:
At 6/20/2015 11:31:29 PM, Diqiucun_Cunmin wrote:
At 6/20/2015 10:53:45 PM, dee-em wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

You're 17 years old and you haven't encountered algebra yet? I find that almost unbelievable. Are you home-schooled?

He didn't say that. He could be struggling with more advanced concepts in algebra.

Not really, Any advice? I wish to finish the whole part of Algebra in Mathematics.

What about algebra are you currently learning? We could be in the same boat.

I don't know about advice I could give you, but make sure you have simultaneous linear equation and quadratic formula programs in your calculator (if they aren't built-in). It will save you tons of time.

Yes, you are right. I have them built-in. Actually, I want to know how do people manage to finish whole part of Algebra.

What do you mean by 'whole part'? I'm not sure if you can learn everything there is to learn in algebra, unless you're a maths professor at university or something.

I think you really should tell us what you are working on at the moment. What are you currently studying and what are your plans?

Still being a High School student. Algebra is a part of the Mathematics. I wish to finish the part of them.

Oh, you mean the entire algebra curriculum? Then you need to tell us what there is in your curriculum...

What is in my curriculum is almost same as yours. But, I want to, like you said, finish the entire algebra curriculum.

I guess I could give you some advice:
-Always look at past papers. If possible, get your hands on the past papers in the last 20 years or so, sorted by topic. You want to know the most common question types for each topic.
-Look at the marking schemes. Sometimes, there are 'skippable steps' and you can use a calculator to handle those.
-Try to look at other exams. Exam boards don't like it when all their questions are predictable, so they'll likely steal some questions from other countries that have never appeared in their exams before.

Sincerely appreciated.
Welfare-Worker
Posts: 1,170
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6/21/2015 6:48:58 AM
Posted: 1 year ago
This may not be what you are looking for, but I will throw it out there.
https://www.khanacademy.org....

My secondary algebra teacher told us he would rather work on a good algebra problems than go to a movie.
He was good at giving life lessons as part of the curriculum.
Not many good teachers out there, he was one.
Unbelievable.Time
Posts: 52
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6/21/2015 8:02:34 AM
Posted: 1 year ago
At 6/21/2015 6:48:58 AM, Welfare-Worker wrote:
This may not be what you are looking for, but I will throw it out there.
https://www.khanacademy.org....

My secondary algebra teacher told us he would rather work on a good algebra problems than go to a movie.
He was good at giving life lessons as part of the curriculum.
Not many good teachers out there, he was one.

Truly thanks for your support.
UndeniableReality
Posts: 1,897
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6/21/2015 8:26:32 AM
Posted: 1 year ago
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.
Unbelievable.Time
Posts: 52
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6/21/2015 8:32:50 AM
Posted: 1 year ago
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.
UndeniableReality
Posts: 1,897
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6/21/2015 8:37:36 AM
Posted: 1 year ago
At 6/21/2015 8:32:50 AM, Unbelievable.Time wrote:
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.

For example: http://www2.math.uu.se...

If you're willing to buy textbooks (or find and download them), you can find some really good books on the topic.
Unbelievable.Time
Posts: 52
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6/21/2015 8:39:07 AM
Posted: 1 year ago
At 6/21/2015 8:37:36 AM, UndeniableReality wrote:
At 6/21/2015 8:32:50 AM, Unbelievable.Time wrote:
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.

For example: http://www2.math.uu.se...

If you're willing to buy textbooks (or find and download them), you can find some really good books on the topic.

Can you list some downloadable books here? In case, I need them.
UndeniableReality
Posts: 1,897
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6/21/2015 8:40:53 AM
Posted: 1 year ago
At 6/21/2015 8:39:07 AM, Unbelievable.Time wrote:
At 6/21/2015 8:37:36 AM, UndeniableReality wrote:
At 6/21/2015 8:32:50 AM, Unbelievable.Time wrote:
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.

For example: http://www2.math.uu.se...

If you're willing to buy textbooks (or find and download them), you can find some really good books on the topic.

Can you list some downloadable books here? In case, I need them.

My partner recommended this for beginners: http://www.math.uiuc.edu...
Unbelievable.Time
Posts: 52
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6/21/2015 8:42:57 AM
Posted: 1 year ago
At 6/21/2015 8:40:53 AM, UndeniableReality wrote:
At 6/21/2015 8:39:07 AM, Unbelievable.Time wrote:
At 6/21/2015 8:37:36 AM, UndeniableReality wrote:
At 6/21/2015 8:32:50 AM, Unbelievable.Time wrote:
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.

For example: http://www2.math.uu.se...

If you're willing to buy textbooks (or find and download them), you can find some really good books on the topic.

Can you list some downloadable books here? In case, I need them.

My partner recommended this for beginners: http://www.math.uiuc.edu...

Again, thanks sir. I wonder if you have online textbook for linear algebra as well.
UndeniableReality
Posts: 1,897
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6/21/2015 8:44:14 AM
Posted: 1 year ago
At 6/21/2015 8:42:57 AM, Unbelievable.Time wrote:
At 6/21/2015 8:40:53 AM, UndeniableReality wrote:
At 6/21/2015 8:39:07 AM, Unbelievable.Time wrote:
At 6/21/2015 8:37:36 AM, UndeniableReality wrote:
At 6/21/2015 8:32:50 AM, Unbelievable.Time wrote:
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.

For example: http://www2.math.uu.se...

If you're willing to buy textbooks (or find and download them), you can find some really good books on the topic.

Can you list some downloadable books here? In case, I need them.

My partner recommended this for beginners: http://www.math.uiuc.edu...

Again, thanks sir. I wonder if you have online textbook for linear algebra as well.

I personally only have hard copies.

Which university are you intending to go to? You should be able to find these things on your own. Knowing how to find resources on the internet is extremely important in university.
Unbelievable.Time
Posts: 52
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6/21/2015 8:47:07 AM
Posted: 1 year ago
At 6/21/2015 8:44:14 AM, UndeniableReality wrote:
At 6/21/2015 8:42:57 AM, Unbelievable.Time wrote:
At 6/21/2015 8:40:53 AM, UndeniableReality wrote:
At 6/21/2015 8:39:07 AM, Unbelievable.Time wrote:
At 6/21/2015 8:37:36 AM, UndeniableReality wrote:
At 6/21/2015 8:32:50 AM, Unbelievable.Time wrote:
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.

For example: http://www2.math.uu.se...

If you're willing to buy textbooks (or find and download them), you can find some really good books on the topic.

Can you list some downloadable books here? In case, I need them.

My partner recommended this for beginners: http://www.math.uiuc.edu...

Again, thanks sir. I wonder if you have online textbook for linear algebra as well.

I personally only have hard copies.

Which university are you intending to go to? You should be able to find these things on your own. Knowing how to find resources on the internet is extremely important in university.

Haven't made up my mind yet. But thanks for the resource. =) I will corner that advice in my mind.
UndeniableReality
Posts: 1,897
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6/21/2015 9:28:00 AM
Posted: 1 year ago
At 6/21/2015 8:47:07 AM, Unbelievable.Time wrote:
At 6/21/2015 8:44:14 AM, UndeniableReality wrote:
At 6/21/2015 8:42:57 AM, Unbelievable.Time wrote:
At 6/21/2015 8:40:53 AM, UndeniableReality wrote:
At 6/21/2015 8:39:07 AM, Unbelievable.Time wrote:
At 6/21/2015 8:37:36 AM, UndeniableReality wrote:
At 6/21/2015 8:32:50 AM, Unbelievable.Time wrote:
At 6/21/2015 8:26:32 AM, UndeniableReality wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?

Linear or abstract? For abstract, start by studying groups, rings and fields. There are a lot of resources online.

Thank you , sir. I am not that resourceful and good at picking. Can you post them here, sir.

For example: http://www2.math.uu.se...

If you're willing to buy textbooks (or find and download them), you can find some really good books on the topic.

Can you list some downloadable books here? In case, I need them.

My partner recommended this for beginners: http://www.math.uiuc.edu...

Again, thanks sir. I wonder if you have online textbook for linear algebra as well.

I personally only have hard copies.

Which university are you intending to go to? You should be able to find these things on your own. Knowing how to find resources on the internet is extremely important in university.

Haven't made up my mind yet. But thanks for the resource. =) I will corner that advice in my mind.

MIT provides you with free PDFs for most math and science textbooks, in case that was a school you were considering.
tarkovsky
Posts: 212
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6/21/2015 10:19:34 AM
Posted: 1 year ago
I'm just going to say if you're barely learning basic high school algebra I wouldn't recommend going into topics like linear algebra and abstract algebra. In fact both linear and abstract algebra, at the elementary level, wouldn't do you much good. With high school algebra you'd be more concerned with things like field theory, which is a somewhat elementary topic in abstract algebra, but it gets deep quick. If you want to challenge yourself and start getting the real flavor of proof based mathematics (which I encourage you to do with great enthusiasm) try picking up any Martin Gardner book. Do the problems without looking them up, even if it takes you a month or two (it took me about a month to get the mutilated chess board problem back when I first saw it). Math is painful and just like a sport or anything else worth doing, you're going to have to suffer a whole lot, but unlike many other things it's completely worth it. It's a steal, a little difficulty and frustration for mathematical understanding is always worthwhile. The sorts of puzzles in his books will prep you for the material you'll see in linear and abstract and beyond really. They often cut very close to deep topics in mathematics and remain accessible. I mean if you're real quick and find abstract and linear a breeze then by all means just continue with them but I'm going to wager that you won't. It's okay they're actually not terribly difficult topics but they require a level of mathematical maturity that I doubt you'll have at this point.
RuvDraba
Posts: 6,033
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6/22/2015 7:10:33 AM
Posted: 1 year ago
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?
Algebra is a mathematical recipe, UT. The letters stand for unknown quantities, and the operators (multiplication, square, square root etc...) are steps.

The trick is to understand how the recipes combine, and how each step reverses. Recipes can produce a combination of ingredients, but you can reverse them too, to extract a single ingredient.

Then you can use that ingredient in another step. So you can extract one ingredient, then use it to extract another.

There are two key reasons algebra matters:

1) Algebraic recipes can combine to become as big as you like. Algebra is therefore a core discipline of chemistry, physics, computing and engineering, for example. What works for three variables can work for 1,000 variables. You can use algebra to go from building a dog-kennel to building a city.
2) Algebra is key to abstract reasoning about quantities when the quantities may change, or you're not sure how much they are. So you can set up the the computations first, then measure and remeasure later.

I hope that may be useful.
Unbelievable.Time
Posts: 52
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6/22/2015 7:14:48 AM
Posted: 1 year ago
At 6/22/2015 7:10:33 AM, RuvDraba wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?
Algebra is a mathematical recipe, UT. The letters stand for unknown quantities, and the operators (multiplication, square, square root etc...) are steps.

The trick is to understand how the recipes combine, and how each step reverses. Recipes can produce a combination of ingredients, but you can reverse them too, to extract a single ingredient.

Then you can use that ingredient in another step. So you can extract one ingredient, then use it to extract another.

There are two key reasons algebra matters:

1) Algebraic recipes can combine to become as big as you like. Algebra is therefore a core discipline of chemistry, physics, computing and engineering, for example. What works for three variables can work for 1,000 variables. You can use algebra to go from building a dog-kennel to building a city.
2) Algebra is key to abstract reasoning about quantities when the quantities may change, or you're not sure how much they are. So you can set up the the computations first, then measure and remeasure later.

I hope that may be useful.

Certainly does. I wonder how do you manage to combine those mathematical things with unrelated things like process?
RuvDraba
Posts: 6,033
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6/22/2015 7:26:00 AM
Posted: 1 year ago
At 6/22/2015 7:14:48 AM, Unbelievable.Time wrote:
At 6/22/2015 7:10:33 AM, RuvDraba wrote:
At 6/20/2015 10:44:54 PM, Unbelievable.Time wrote:
Any advice on studying this mathematical topic?
Algebra is a mathematical recipe, UT. The letters stand for unknown quantities, and the operators (multiplication, square, square root etc...) are steps.

The trick is to understand how the recipes combine, and how each step reverses. Recipes can produce a combination of ingredients, but you can reverse them too, to extract a single ingredient.
How do you manage to combine those mathematical things with unrelated things like process?

Algebra steps already make a simple process: start at step one, and continue step by step until you're done.

But processes can be more complex: they can split into multiple choices, or loop for a predefined number of times, or loop for an indefinite number of times that depends on the values you're calculating. They can run in sequence -- one after another; or run simultaneously, with one step waiting for another. Or they can stop with an error, or decide they're finished and report a result.

You can also break a process into its own reusable definition -- where the values you work with will be supplied later -- and this can be used as a subprocess of other processes.

That's essentially how computer programs work, U.T. Most common programming languages are just algebra with some extra control instructions to decide what to do next. (Though some are weirder than that.)

A strong predictor of how well you can design, develop, test and debug computer programs is your ability to master algebra. When you really get how the algebra works, you can take a complex computation and simplify it to produce the same result in smaller steps. You can combine computations into processes, break processes into reusable subprocesses, and essentially design computation like a Swiss Army Knife to do a lot of things automatically by using the same steps again and again in different ways.