You can be on top of things as long as you practice these nine essential time management tips.
We hope you enjoy our time management tip and activity.  Think about it as a time management game! As you prepare for the new semester, it is unavoidable that your stress levels will rise as fast as your schedules fill up. We are all responsible for our lives and how we spend our time is a direct reflection of how well we embrace time management.
This might come across as ironic, but going too hard on yourself will only get you overwhelmed and make you even more disorganised.
Time Managment is the issue for the College and University students and also for businessman. As your semester kicks into high rigging and your calendar tops off, you undergrads may discover your anxiety levels rising. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.
I often tend to be the only one to find serious issues in the proofs, in the formulations of theorems, and also in the worked out exercises at classes. This really struck a nerve in the community here; no other questions produces 6 lengthy answers in 6 hours!
In my view the central question that you should ask yourself is what is the end goal of your studies. It has been mentioned in another answer that leading a healthy lifestyle might contribute to your studies. Returning to my original point, what do you expect to accomplish by being successful in school? You might find out that having completed your studies, you must turn your life to some very different track.
This all might sound discouraging, but your situation as you describe it is quite miserable. The same goes for memorizing theorems - sometimes one can only really "understand" the proof of a theorem by studying a more advanced topic. Second, one of the answers suggests trying to deduce as many theorems as possible as the "mathematical" thing that ought to be done after seeing a definition. It is common in mathematics to start studying a subject with a long list of "important definitions", which have no import at all at that stage. It is really frustrating that I understand a subject and in 6 months it's almost gone from my head.
It takes time to get used to a new form of knowledge, especially one as complicated as mathematics. This may not be the highest rated answer (yet) but it is certainly the most well-rounded in my opinion. Let me tell you that the only thing that I have been doing for the last four years of my life is mathematics. Most people probably won't like this answer, but mathematics is a field where there's an unstable separation between those of genius caliber understanding and those who are just able to get by through dogged hard work. If, as you admit, you are average with a bad memory (aside from your obviously above average tolerance for difficult technical work), then you need to consider that an actual career in pure mathematics is not right for you.
For example, I have a close friend who studied very pure aspects of cryptographic number theory.
I would say that, just as so many small businesses fail, far too many bright-eyed grad students see themselves as the next Godel, gung-ho for tenured positions and "living the life of the mind." They are especially prone to do what you are doing and to let the rest of their lives deteriorate in the hopes of being able to pursue what they currently (probably mistakenly) think is their own preference for abstract beauty that can only be satiated (also a mistake) by generalized math. If you prefer the more abstract thinking that often accompanies algebra and number theory (that is, if you are a "problem solver" type of pure mathematician according to Timothy Gowers' definition (see here for my take on that if interested)), then I think you will find a lot to enjoy about software design. Earning a living by being a pure mathematician is a very modern concept that arose largely because of the implications of Lebesgue integration in analysis and computability theory in computer science.
And there's no reason why you can't find some niche problems that you like to work on, do so in your free time, and meanwhile have a fulfilling and economically sensible career that affords you a more comfortable life.
In fact, the really egregiously unfair underfunding of students and inflation of post-doc positions largely comes about because naive youngsters who think they will automatically get tenure if they just try hard, and who think that nerdy love for aesthetic science is a good thing to base a career choice on, seem to unquestioningly accept underpaid and under-insured academic positions with no question. Sometimes you figure out you don't understand something and you don't have time right then to understand it.
Get our free toolkit - "How To Clear Anything In 7 Days!" You'll get a healing audio meditation plus inspiring audio instruction every day for 7 days! Calm those jitters and steer yourself away from chaos with these great time management tips. Now here you like to shared 5 Time Management Tips to Calm College Student Stress and i think these tips play a vital role to decreasing the stress from the students. I would very much like my career to be centered around mathematics (topology, algebra or something similar). Also, I had a perfectly good social life before, so you don't need to give advice regarding that.
One must guard, however, against confusing the presentation of mathematics with the content of mathematics. As an example, American college life as depicted in film is hedonistic and certainly not centered on actual studies.
If such a person were confronted with your situation, they might look for some compromise, for example investing fewer time on studies in return for lower grades. Some people find that by multitasking they become more productive in each of their individual "fronts". You may come to realize that you have wasted some best years of your life by studying hard to the exclusion of everything else, an effort which would eventually lead you nowhere. That requires both an earnest assessment of your own worth, and some speculation of the future job market.
Not only are you not satisfied with it, but it also looks problematic for an outside observer.
They have a wider perspective on your situation, which they of their acquaintances have just still vividly recall.
Even the researcher who originally came out with the proof probably didn't "really" understand it until a larger perspective was developed. I would suggest rather the opposite - first find out what the definition entails, and then try to understand why the concept was defined in the first place, and why in that particular way. You will have understood the subject when you can explain where these definitions are coming from, what objects they describe; and when you can "feel" these objects intuitively. If you honestly find that you keep forgetting old material - and by that, I mean the essentials, not advanced results - you are probably studying either too fast, or too much, or too nervously.


At some point you will reach a new level of understanding - suddenly all the previous material, that used to seem so difficult, will become manifestly simple.
I agreed with the observation that some of the other methods outlined on this page are time-consuming.
I have enjoyed the experience thoroughly but I have also had points where I was somewhat unsure as to how to approach my learning. 25, 2013): This answer was written when I was 16 years old and does not necessarily represent my current views of mathematics. I've been through the phase of learning how to read mathematical text rigorously enough and asking myself questions.
Way too many people want to do proofs and aesthetically pleasing artful mathematics for a career who are in the dogged-hard-work category. I want to be careful to avoid other-optimizing so please take my advice with a grain of salt.
Your personal forecast that you'll enjoy a career in abstract mathematics is almost surely incorrect; you seem to undervalue important things like salary, competitiveness for tenure, geographic preferences, etc. He did two post-docs and earned practically no money at all, sacrificed personal relationships to try to get tenure track faculty positions, and ultimately found no jobs doing pure math. Many more of these people should own up to the fact that they are not talented enough, and that universities that have to dedicate an ever slimming number of resources to hiring the best tenured faculty shouldn't really hire them. Tenure is greatly diminishing in many parts of academia, and math faculty are especially notorious because pure math doesn't bring in grant money the way applied projects do. You may be better served by focusing on abstract problems in computer science and software engineering. Stillwell), you'll notice that (a) most good abstract math begins by being some sort of ad hoc, "it's probably true but I can't see the details" intuition anyway and it only gets refined later; and (b) most awesome stuff invented in mathematics was not invented by people who thought that mathematics was the way they needed to earn a living. And now that we have enough of a handle on those fields and their subsequent children, there just isn't enough stuff to support a lot of career mathematicians. For as obviously smart as you are, it would not be wise to fail to consider this sort of thing in your youth. But the linked articles on the lack of a wage premium for PhD holders in computer science and math over Master's degree holders, and also the rise of post-docs as principal investigators (hence more concentration of academic employment at the lower levels and less at associate or tenured professor positions) are from outside sources that derive from peer-reviewed research. However, the lack of time management can bring disastrous results in anyone’s professional and personal life. We all experience interruptions; the phone that doesn’t stop ringing or people drop in unannounced. Focus on a selected few priorities versus scattering your attention and energy on too many.
She helps clients easily fill in the gap between where they are now and where they want to be. Follow along as you clear any mental-emotional pattern holding you back, even if you've been stuck for years. Which results in you needing to play catch up with friends or lecturers after school hours. I want to really understand things and I want the proofs to be done in a (reasonably) rigorous way. How did you manage to study everything on time, AND sufficiently rigorous, that you were able to understand it? I don't socialize and do sport because digesting proofs and trying to understand the ideas behind it all eats up all my time. An axiomatic presentation of a mathematical fact differs from the fact that is being presented as medicine differs from food.
You absolutely positively can't learn everything (not even close), but you can learn top-down instead of bottom-up.
Your example is the complete opposite - you describe yourself as an ascetic devoted to scholarship. You should also estimate how important you are going to consider these present studies in your future - both from the economical and the "cultural" perspective. However, I suspect that you're exaggerating, viewing the situation from a romantic, heroic perspective. However, even their recommendations must be taken with a grain of salt, since their present worries are only part of the larger picture, the all-encompassing "life".
I'm glad that my school would instead give us actual problems to solve - that's much closer to research anyway. This is a far cry from being able to deduce some facts that follow more-or-less directly from the definitions.
Of course when I relearn, it goes smoother & faster, but the point is I have to relearn over and over. You will start to remember concepts and basic results soon after solving some relevant exercises.
I've tried them, and you end up learning a lot less than if you had, say, just covered some basic material and tried some exercises, gently increasing with difficulty each time. I think that there is no one rule that works for everyone; however, let me answer some of your questions.
Problem is, I ask myself too many questions, and I spend way too much time to undersdtand things. Also, I think that trying to prove every theorem you encounter by yourself it is a bit of an overkill.
I am speaking as someone who has worked myself to death over the past 3 years to hack it in an Ivy League Ph.D. It may not be right for you, and surely all of the other commenters have insightful advice as well.
Actually, he discovered that to do software design properly, virtually everything is all about understanding the right abstraction, the right data encapsulation, the right design pattern, and this not only has great mathematical aesthetic value, but also delivers a better product to a client. With the advent of online courses and open courseware, and sites like Stack Exchange, the need for highly specialized math teachers is diminishing at the university level. People have been driving themselves mad over solving math problems for millennia, staying up late into the night, leading destructive romantic lives, falling into ill health. Almost surely, significant mathematical advances in the next 50 years are going to come from highly intelligent, dedicated hobbyists, who solve problems at places like Stack Exchange or polymath. Other observations such as having a limited time budget and needing to do something economically productive are more or less default attributes of nature. Often times we focus mostly on personal and business financials but fail to give deserved attention on how we spend our time. Some people fail to delegate because they think no one else can do the job as good as they can.


When we procrastinate- we only spend time thinking about the things that need to be done and then beat ourselves up for not accomplishing those things.
She helps her clients create the life they want because they realize they need a change and are ready to experience results. Also, sleep deprivation will lead you to taking more naps during the day or worse, in class. When I present them to the professor, he says that I'm right, and says that I'm very precise.
It is true that this particular medicine is necessary to keep mathematicians at a safe distance from the self-delusions of the mind.
Your viewpoint might be different - for you the most important dimension is intellectual growth, and you are ready to sacrifice all for its sake.
In North America higher education has become a rite of passage, which many graduates find very problematic for the cost it incurs. Since you have to go through this lamentable process, try to come up with a method of memorization which has other benefits as well - perhaps aim at a better understanding of "what is going on" rather than the actual steps themselves.
But one thing that I think will never work for you is to just "try to exercise, eat right, and have a balanced life." Whatever others say, this will not happen for a pure mathematician who has really good taste in the aesthetic beauty of results, unless that mathematician really is at the genius level.
He thought that at least some of his time would go to researching new asbtract ideas in cryptography, but it turned out not to be true. After acclimating to professional software development, he now sees all sorts of parallels between his former work coming up with abstract math ideas and his current job coming up with abstract software solutions.
You should expect competition for tenured jobs to tighten, and that if you want a tenured job you'll have to go anywhere that offers them, even if this is a small regional university that is nowhere near any major city, has no real cultural atmosphere, and doesn't attract gifted students. Your familiarity with pure mathematics may give you a career edge if you switch to a field like this. If you really love math, you'll never be happy doing it in the half-assed way that a healthy work-life balance requires, and very few people are truly capable of sustaining a career like that. Try planning and devoting time on a daily and weekly basis that doesn’t allow for interruptions. Time should be allocated appropriately with a strong focus on achieving results with the time you spend. Your goals should help direct how you spend your time as well as help you recognize goal irrelevant activities.
Throughout the day, take care of the most important tasks first without getting distracted. She offers flexible options for sessions which can be conducted face-to-face, via telephone or Skype. Think about how much time we waste napping during the day because we don't sleep enough at night. We'd study only ONE subject for a month or two, then have the exams, and the next month or two the next subject. There are many many fields of mathematics, and the number of all theorems, lemmas, propositions and definitions is immense. Try Evans and Gariepy, Measure theory and fine properties of functions; most of the proofs are pages long. Next to my peers, the only advantage I have is that I am able to work much harder, and to some extent I am much better at writing software. Instead, he writes Java programs most of the time, learns about new applied cryptographic research, and writes very little (though he still dabbles in research in personal time and is, in my view, far more educated about cryptographic research than most people who currently publish in that field). You might be situated to compete more effectively for grants and faculty jobs if that is what you want, and to the extent that you master programming skills, you'll have marketable skills to get different jobs if the need arises. Most ultimately stop trying hard on the math part and become dissatisfied with their careers. Use this uninterrupted time for strategic planning, problem solving, decision making, and coming up with new ideas and solutions.
Results can come in the form of strategic planning, thinking of creative solutions or simply do nothing so you can re-energize. Mixing it up has a terrible effect: I forget things, because I constantly change the topic.
Sure, at some times after much reading, proofs come naturally, but not at a first time reading. Leverage your time; delegate basic or routine tasks so you can have sufficient time to focus on what’s most important.
From my experience, 80% or more mathematics in our school is done in a sketchy, "hmm, probably true" kind of way (just like reading cooking recipes), which bugs the hell out of me.
For example, in the second year, during the school year, I understood almost nothing of multivariable calculus, because I had to simultaneously study abstract algebra, topology, computer programming, etc, and couldn't keep up.
The way I study is I open the book, search up what I already know but forgot from the previous day, and then go from theorem to theorem, from proof to proof, correcting mistakes, adding clarifications, etc. Is the study of mathematics just one big joke and you're not supposed to take it too seriously?
Also, I have a bad habit of having difficulty starting things, but when I do start 'my engine', I have difficulty stopping, especially if it's going good.
That's why I unintentionally spend an hour or two before studying just doing the most irrelevant stuff, just to avoid study. They learn "how one should do things", but less often do they ask themselves WHY is this correct. This happens especially when I've had more math than I can shove down my throat, I have mental preparations to begin studying.
One is at the doctorate level, constantly frustrated, while the other abandoned physics altogether after getting a diploma. When the day of the exam arrives, I don't go to sleep at all, and the night and day are reversed. From my experience, ALL his classmates understand less than he does, they just go with the flow and accept certain statements as true. If I'm useless through the whole day, I feel a need (guilty conscience) to do at least smth. I know this isn't supposed to happen if one loves mathematics, but when it's 'forced upon you' what and how much and in what amount of time you have to study, you start being put off by math.



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