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  1. K

    Can't do this supremum question

    Oh crap..... For whatever reason, i parsed "b" to be the number such that it is greater than AND equal to an. Thank you. So b is a set of numbers that satisfy an≤ b right?
  2. K

    3 part sup/inf question

    This is from NL Carother's Real analysis. Question 2 of chapter 1
  3. K

    Can't do this supremum question

    1. Homework Statement here's the picture and it's the second part of question 5: http://imgur.com/ybSW4v4 2. Homework Equations N/A 3. The Attempt at a Solution so by intuition, I suspect that b = sup{a_n: n is in the natural numbers} If we can show that, then it will...
  4. K

    Guidance to advanced Calculus

    Go do ALL QUESTIONS in Michael Spivak's "Calculus". Then go do ALL QUESTIONS in "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach" by John Hubbard and Barbara Burke Hubbard. You should be fine and ready to kill Real Analysis. In fact, your level of mathematical...
  5. K

    Programs Question about the math degree (for those who have completed it)

    When you've complete the math degree, did you feel like you got your education's worth and money's worth? I have a few goals in mind that i would like to complete in math: Start from axioms and build up geometry Construct the real numbers know what's happening in calculus in a deeper...
  6. K

    Studying Textbook or online website with Epsilon-Delta Proofs?

    Re: textbook or online website with A TON OF EPSILON DELTA PROOFS?! I'm looking for somethijng a bit easier. well alot easier.. But i'll definitely check it out. Something that first year math majors are expected to do. I also have average intelligence.
  7. K

    Studying Textbook or online website with Epsilon-Delta Proofs?

    I don't do well by just reading a proof and internalizing it. I need problems to solve and would LOVE to internalize epsilon delta proofs by practicing 100s of them. It's how I got decent at integrals. It's how anybody gets good at math and music and in general your craft right? I Don't know a...
  8. K

    Engineering Can I get back into science/engineering after leaving?

    NO YOU FOOL! Take it! And i hope that was sarcasm on your last part too... TAKE THE DAM JOB BECAUSE EXPERIENCE >NOTHING! You can do physics field any other time but right now you should get a job!
  9. K

    Background for Analysis and Topology

    Is it weird that my school's real analysis is a course on topology and metric space? I'm only first year but that's what my calculus teacher told me when i asked what real analysis was. He told me the course content for real analysis course at my school was metric space and topology. I keep on...
  10. K

    Engineering Physics advice please

    1. yes you can 2.depends on what you want. Take my words with a grain of salt. I'm in 1st year haha.
  11. K

    Engineering Which Engineer Actually Uses the Most Math?

    Then take the math courses.
  12. K

    Programs Which major do i take if i want to learn how a computer works?

    I'm actually in mathematics now. But i'm finding that it's just pure mathematics. I want a more applied approach to it than just proving things day in and day out.
  13. K

    Programs Which major do i take if i want to learn how a computer works?

    One of my life goals is to really just learn how a computer works. I want to learn all the mathematics it takes to understand how a computer works, i want to know the history of it, i want to basically go back to first principles of how a computer works and understand how it evolved into it's...
  14. K

    Strongest Undergraduate Programs in Canada?

    No i raelly don't think AP calculus has epsilon delta proofs or much proofs at all for that matter. I've never been in an AP calculus course but it's just not going to be the same as the course i've listed. The calculus link that i've given is a full year course. You have to take it for 2...
  15. K

    Strongest Undergraduate Programs in Canada?

    If you come to carleton, you'll have to take a first year calculus and algebra class. here's a sample of what we're doing now in algebra http://people.math.carleton.ca/~mezo/math1102.html << teaching this class this term. http://people.math.carleton.ca/~mezo/math1002.html << he doesn't teach...
  16. K

    Post your spring schedule!

    intro to calculus and analysis I linear algebra intro to economics spanish
  17. K

    Where is mathematics at now?

    Like what are the big conjectures or problems that if proven will yield great results in mathematics? Where is topology and abstract algebra now? Is analysis finished? Is linear algebra finished? Is 2d geometry finished? At the frontier of mathematics, what are the most important questions that...
  18. K

    Is it possible to self study Higher level mathematics and physics without goingto UNI

    Re: Is it possible to self study Higher level mathematics and physics without goingto Maybe he wants to not pay university.
  19. K

    Why does bedmas/pedmas work?

    I've often wondered this myself. Is it just a convention? Is it because in a way, all the orders of operation are just "addition" ? addition is addition, subtraction is adding negative numbers, multiplying is addition, dividing is multiplying. But then if this were true, it would only work...
  20. K

    I got a B+ in Calculus 1, should I reconsider being a mathematician?

    I currently have a c- or something in my year long introductory to calculus and analysis (proof based) and i'm still on the road to becoming a statistician. I don't think marks matter as much for me. I know a few people in statistics canada and i'm social. I just need to do decent enough to get...
  21. K

    How well does a theoretical physicist have to know his math?

    Like are we talking about just as well as a mathematician or does he have to know the properties of structure in math that he's studying. Not really the rigour but more like what properties it has and what it can do.
  22. K

    Other The Should I Become a Mathematician? Thread

    Re: who wants to be a mathematician? No it's because i felt like i've never had true passion in life. I don't want to live in a life without passion. I feel like i'm going nowhere.
  23. K

    Other The Should I Become a Mathematician? Thread

    Re: who wants to be a mathematician? I`m no math nerd at all .. althought i wish i was. I do brazilian jiu jitsu and mma recreationally. I also started doing salsa recreationally as well. I feel like math is more of a recreational activity for me as well. I don`t know where i`m going at in my...
  24. K

    Question about if and then statements. IE implication statements.

    Re: Question about "if and then" statements. IE implication statements. Thanks for the verification. Now here's another question that i'm confused about. The question states the following: Let f(x) = 1/(x?2) and c = 3. If x>2, prove that |f(x) - f(3)| <|x^2 - 9|/36. if |x-3|<δ...
  25. K

    Question about if and then statements. IE implication statements.

    Question about "if and then" statements. IE implication statements. 1. Homework Statement When something is for example asking for: if |x-3|<δ, prove that |x+3| <δ + k (where k is a constant) are they supposing it's true? Like are they giving you a hypothesis? How do implication...
  26. K

    Engineering Engineering to post graduate prospectives.

    You can learn about physics in your own time as well. Don't think that after school is finished you're done learning.
  27. K

    Is it normal to feel overwhelmed by the abstraction of undergrad Math at first

    So far i haven't found math to be very abstract at all. At first i thought it was all about the graphs and trying to understand the graphs. But then i learnt about functions and mappings. From there, i realized it was a well defined area and the graphs don't matter at all. It's not abstract at...
  28. K

    Does anybody know a site where i can find many epsilon delta problems?

    Thanks. Read it over. But i'm really looking for a site with just A BUNCH of problems so i can get more practice on them. Would anybody know of such sites?
  29. K

    Prove that, if f(x) is differentiable at x =c , then f(x) is continous at x=c

    Oh ok. So then the proof is basically done then right?
  30. K

    Prove that, if f(x) is differentiable at x =c , then f(x) is continous at x=c

    oh wait nvm. Sorry but i meamnt to say that We need that: lim f(x)-f(c)=0. x->c However we have: lim f(x)-f(c). It doesn't equal zero. x->c I'm just confused.
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