For anyone considering doing a math degree and would like to save money. I transferred from a community college to a 4-year university. I saved a lot of money and was easily prepared for the courses. I do recommend bracing yourself for proof-based mathematics as majority of your classes at a university will be proof rigorous. I'd recommended exploring discrete mathematics or some basic proofs course to get ready for your degree and to really ensure you'd want to study math. Book of proof is a great starting place to learn proof writing on your own. I'd highly recommend it. GOOD LUCK EVERYONE
Being a student of a community college and a teacher at numerous community colleges. I’m community colleges biggest fan. Your comment is amazing! Thank you!
@@KaijuMathematics12It’s seriously a great stepping stone, and I met some professors who truly inspired me to learn mathematics. Something that never happened 12 years of schooling prior. Im sure you will make an impression on your students through your videos or in the classroom. keep it up man!
I’m self studying math as a hobby and have the complete 4th edition sequence for Martin-Gay’s Beginner and Intermediate Algebra. Student and Instructor’s Editions. Student and Instructor’s solution manuals and the 9 DVD set of lectures. It’s great stuff.
@@ussdfiantI am in the same boat. I started with Blitzer’s “College Algebra”, just an hour or two before bed everyday going on nearly a year. It’s been an amazing journey. It’s nice to know there are others out there like myself. Best of luck! And thank you professor for the run thru of community college math courses. You answered a lot of my questions.
"Applied Complex Variables" by John W. Dettman (Dover Publishers) is a great read: the first part covers the geometry/topology of the complex plane from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective. I've used Smith Charts (RF/microwave engineering) for years, but learned from Dettman that the "Smith Chart" is an instance of a Möbius Transformation. For practical reasons, a typical Junior-level "Math Methods for Physics & Engineering" course introduces the Cauchy-Riemann Conditions, Conformal Mapping, Contour Integrals and applications of the Residue Theorem, but has to omit a lot interesting details. The Schaum's Outline on "Complex Variables" is a great companion book for more problems/solutions and content.
I used "Elementary Differential Equations and Boundary Value Problems" (3rd ed.) by Boyce & DiPrima in a DE course offered by the Math Department; and "Mathematical Methods in the Physical Sciences" (2nd ed.) by Boas for the Mathematical Methods course offered by the Physics Department. They both have very applied approaches to the subject. "Partial Differential Equations in Physics" by Arnold Sommerfeld is based on his lectures on Theoretical Physics. It, like other volumes in the series, illustrates the thought-processes of a truly great mind; he was one of the strong bridges between Classical and Quantum Mechanics.
Oh I get that. Luckily that wasn’t around when I was in college. I try to find a balance between using it and assigning problems out of the book for my classes now. Some like it some don’t.
It sucks that we can all self study this but never get any credit. And i dont just mean college credit. I mean people dont recognize merit through demonstration. I have taught myself from algebra 2 to calc 1. It took a lot of effort. There were time i questiined my own abilites and i wanted to give up. And i still feel that way. Because the average person hiring for a company doesnt acknowledge your efforts or willingness to improve and master a set of skills. The last job interview i had was at a bank. They asked me if i had any accounting certifications or college background. I said no and then began to do a summation of natural numbers in sigma notation, and i had planned on showing how to derive the interest formula. But i was interrupted before i could finish as if i were some crazy person saying something irrelevant and was told they were looking for someone with college/state merit. These people dont even know what i can do with functions and matricies and they wont even let me demonstrate. Too poor to go to college. And cant get a better job without it. We are not a western society that is based on logic and merit. And that makes me very sad.
This is a really great comment! Thank you for sharing your story. I do think there is a future where self studying will have more impact on professional goals. This comment really made me think!
Dr. Trefor Bazett a university maths professor has a youtube channel with a calc 4 playlist. You can check out the website of the university he teaches at to get past homework, exams, notes, pretty much everything you need to teach yourself or get ready for the class.
@MonkeyDLuffy-gd6se then it shouldn't qualify as a math degree. If they can't advanced enough math, don't offer a math program at all. Stick to trades programs that have math as required courses.
@@Grassmpl I somewhat agree but I don't quite know how it works in the US, im from europe and here we take our first year of undergrad analysis/linalg/group theory/prob all proof based so I get where you are coming from, its just not nice to try to push others down. You don't know where they were coming from and many probably will go to university if they major in math.
Just to clarify, you don’t get a math degree after the 2 years at a community college. You have to transfer to a university and do 2 more years and then you get the math degree. You can major in math in your first 2 years at a cc that just gives you a path of what classes to take.
Linear algebra is often the course where students learn how to prove theorems (in contrast to cookbook calculus). But it should be honest linear algebra and not just matrix theory.
A difference between universities and community colleges. Opportunity. At a university you have the option to take an introductory proof course at an earlier stage. You can easily fit an intro to proof textbook within your textbook stack. And, you get the chance to interact with faculty in your department, you’ll be able to build relationships with those professors so later you can get letters of recommendation and potentially a research position.
Not knocking CCs, but a math major is going to have a harder time in his junior and senior year at a regular university. The strong math majors are arriving for their freshman year at 4-year schools with AP calculus BC already under their belt.
@@KaijuMathematics12 Real analysis 1,2. Linear algebra 1, maybe 2. Metric and topological spaces. Differential geometry. Complex function theory 1, maybe 2. Number theory. Algebraic number theory. Abstract algebra 1, 2. Ordinary differential equations. Partial Differential equations. Probability theory. At top-tier schools add: Algebraic curves. Homology and homotopy theory. Commutative algebra. Lie algebras.The junior and senior year at mid-tier schools don't give enough time to get enough serious courses in. In particular if someone wants to go to grad school he'll want to hit the ground running from the first year onwards. And it just keeps getting more intense and more competitive with each passing year.
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For anyone considering doing a math degree and would like to save money. I transferred from a community college to a 4-year university. I saved a lot of money and was easily prepared for the courses. I do recommend bracing yourself for proof-based mathematics as majority of your classes at a university will be proof rigorous. I'd recommended exploring discrete mathematics or some basic proofs course to get ready for your degree and to really ensure you'd want to study math. Book of proof is a great starting place to learn proof writing on your own. I'd highly recommend it. GOOD LUCK EVERYONE
Being a student of a community college and a teacher at numerous community colleges. I’m community colleges biggest fan. Your comment is amazing! Thank you!
@@KaijuMathematics12It’s seriously a great stepping stone, and I met some professors who truly inspired me to learn mathematics. Something that never happened 12 years of schooling prior. Im sure you will make an impression on your students through your videos or in the classroom. keep it up man!
Wow! Thank you! I love teaching math!
I’m self studying math as a hobby and have the complete 4th edition sequence for Martin-Gay’s Beginner and Intermediate Algebra. Student and Instructor’s Editions. Student and Instructor’s solution manuals and the 9 DVD set of lectures. It’s great stuff.
@@ussdfiantI am in the same boat. I started with Blitzer’s “College Algebra”, just an hour or two before bed everyday going on nearly a year. It’s been an amazing journey. It’s nice to know there are others out there like myself. Best of luck!
And thank you professor for the run thru of community college math courses. You answered a lot of my questions.
The Math Sorcerer would be proud!
Dude is legend. He dropped a video a day or two after this one similar to this.
😂@@KaijuMathematics12
"Applied Complex Variables" by John W. Dettman (Dover Publishers) is a great read: the first part covers the geometry/topology of the complex plane from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective. I've used Smith Charts (RF/microwave engineering) for years, but learned from Dettman that the "Smith Chart" is an instance of a Möbius Transformation.
For practical reasons, a typical Junior-level "Math Methods for Physics & Engineering" course introduces the Cauchy-Riemann Conditions, Conformal Mapping, Contour Integrals and applications of the Residue Theorem, but has to omit a lot interesting details.
The Schaum's Outline on "Complex Variables" is a great companion book for more problems/solutions and content.
Thanks for the recommendations! I’ll be sure to look these up.
I used "Elementary Differential Equations and Boundary Value Problems" (3rd ed.) by Boyce & DiPrima in a DE course offered by the Math Department; and "Mathematical Methods in the Physical Sciences" (2nd ed.) by Boas for the Mathematical Methods course offered by the Physics Department. They both have very applied approaches to the subject.
"Partial Differential Equations in Physics" by Arnold Sommerfeld is based on his lectures on Theoretical Physics. It, like other volumes in the series, illustrates the thought-processes of a truly great mind; he was one of the strong bridges between Classical and Quantum Mechanics.
Great comment! Differential equations has pretty cool applied scenarios!
I am an Engineer and we used the first two books in college too. They are fantastic.
Pearson MyLab crushed my passion for math 😂
Oh I get that. Luckily that wasn’t around when I was in college. I try to find a balance between using it and assigning problems out of the book for my classes now. Some like it some don’t.
These types of software are plagues at pre-college level also. ☹
I live in the LA Area not too far from El Camino College; it's a real gem.
It sucks that we can all self study this but never get any credit.
And i dont just mean college credit. I mean people dont recognize merit through demonstration.
I have taught myself from algebra 2 to calc 1. It took a lot of effort. There were time i questiined my own abilites and i wanted to give up. And i still feel that way. Because the average person hiring for a company doesnt acknowledge your efforts or willingness to improve and master a set of skills.
The last job interview i had was at a bank. They asked me if i had any accounting certifications or college background. I said no and then began to do a summation of natural numbers in sigma notation, and i had planned on showing how to derive the interest formula. But i was interrupted before i could finish as if i were some crazy person saying something irrelevant and was told they were looking for someone with college/state merit.
These people dont even know what i can do with functions and matricies and they wont even let me demonstrate.
Too poor to go to college. And cant get a better job without it. We are not a western society that is based on logic and merit. And that makes me very sad.
This is a really great comment! Thank you for sharing your story. I do think there is a future where self studying will have more impact on professional goals. This comment really made me think!
My marh books library is groeing from watching his casts.
EBay has most of them
I average $8.00 per book.
Move your hands away! Let us appreciate the content without your intervention.
Although Holt and Glencoe maths books, mainly for secondary school, but a lot of information can get from there….
Yes! I used those when I taught secondary!
Hello Mr kieju I'm a math teacher and I want some useful books and advices to motivate and help my students. Please if you can.
Yes! Of course! Would love to throw a video together. Can you tell me what level? High school? College?
ps I don't smell them
Ha!
how many math specific courses must you take in the last 2 years after you transfer to a university?
in highschool i took up to calc 3, but in calc 3 we never did anything past parametrics and series.. would the rest be covered in calc 4 for me?
This is a great question! I’m going to try and record a video answering this tonight and post it in the next few days. Hopefully tomorrow! Thanks!
Dr. Trefor Bazett a university maths professor has a youtube channel with a calc 4 playlist.
You can check out the website of the university he teaches at to get past homework, exams, notes, pretty much everything you need to teach yourself or get ready for the class.
Community college excuse for a "math degree" is a joke. Look up some concepts in a uni math degree and youll see what im talking about.
Yes it is not university math but noone said it was
@MonkeyDLuffy-gd6se then it shouldn't qualify as a math degree. If they can't advanced enough math, don't offer a math program at all. Stick to trades programs that have math as required courses.
@@Grassmpl I somewhat agree but I don't quite know how it works in the US, im from europe and here we take our first year of undergrad analysis/linalg/group theory/prob all proof based so I get where you are coming from, its just not nice to try to push others down. You don't know where they were coming from and many probably will go to university if they major in math.
Just to clarify, you don’t get a math degree after the 2 years at a community college. You have to transfer to a university and do 2 more years and then you get the math degree. You can major in math in your first 2 years at a cc that just gives you a path of what classes to take.
@@KaijuMathematics12 That makes sense!
no Linear Algebra?
I took it when I transferred. Wasn’t required to have done. Good call though! Love that class!
Axler. The 4th edition is already out (though i recommend most to read both the 3rd and 4th edition)
Linear algebra is often the course where students learn how to prove theorems (in contrast to cookbook calculus). But it should be honest linear algebra and not just matrix theory.
A difference between universities and community colleges. Opportunity. At a university you have the option to take an introductory proof course at an earlier stage. You can easily fit an intro to proof textbook within your textbook stack. And, you get the chance to interact with faculty in your department, you’ll be able to build relationships with those professors so later you can get letters of recommendation and potentially a research position.
That’s awesome! I would have benefited from a proofs class. That was a very difficult transition after transferring.
Not knocking CCs, but a math major is going to have a harder time in his junior and senior year at a regular university. The strong math majors are arriving for their freshman year at 4-year schools with AP calculus BC already under their belt.
Interesting! I wonder what they would do for 4 years then? Haha.
@@KaijuMathematics12 Real analysis 1,2. Linear algebra 1, maybe 2. Metric and topological spaces. Differential geometry. Complex function theory 1, maybe 2. Number theory. Algebraic number theory. Abstract algebra 1, 2. Ordinary differential equations. Partial Differential equations. Probability theory. At top-tier schools add: Algebraic curves. Homology and homotopy theory. Commutative algebra. Lie algebras.The junior and senior year at mid-tier schools don't give enough time to get enough serious courses in. In particular if someone wants to go to grad school he'll want to hit the ground running from the first year onwards. And it just keeps getting more intense and more competitive with each passing year.
Thanks for that information! Very cool!
What's the best BEGINNING AND INTERMEDIATE ALGEBRA TEXTBOOKS
GAY
MILLER
ROCKSWOLD
LIAL
THANK YOU
I’ll have to check out those other ones. Thanks for the recs.