Many are extremely intelligent and hardworking. HOWEVER, even the best will encounter challenges, Because upper-level mathematics Involves not only independent study and learning from lectures, so but a fundamental shift from calculation to proof. This shift is demanding but it need not be mysterious - Has research revealed many insights into the mathematical thinking required, and this book trans-lates synthesis into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from Tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and Explains how students can adapt and extend existing skills in order to Their develop good understanding.
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Also, I wanted to know how those who survived the gauntlet did it. Instead, the author cherry-picks simple, very basic examples to illustrate her points in terms of the right way of approaching mathematics. Double fucking boring. Work through a textbook in full by solving every problems. This is a true route of a deep understanding. Practice them over and over.
Always do more than the minimum. For example, a teacher for a class might cover 10 problems out of 30 per section. Do yourself a favor: always solve all of the 30 problems. Purchase a subscription though Chegg and look at the solutions. Google "solutions manuals for sale" and look for the ones for your textbooks. Whatever they cost, buy them; they will arrive in PDF file through your e-mail.
This method will save you a lot of time and headaches. The true value of learning the content is to work through the problems and looking at the solutions to make sure that what you are doing is correct; otherwise, copy down the problem and solution and practice it over and over.
Those who cheat just merely copy the solutions and do nothing about it. There is a big difference. You can try looking for the free ones online, but they are pretty hard to find; then, if you had to download the file, it might come with a virus.
So, be careful. If the textbook sucks, fine. Go to Amazon and look for alternate books that are more pedagogically sound and reach the points in a clear, straightforward manner. Math becomes much easier this way. Find other books to supplement your learning. The more books you work with, the better your chances are of passing the class and moving on.
Always check through the ratings of the professors for the classes you might register for. Most of the time, these reviews are quite accurate. Plus, keeping your overall GPA intact is quite important in the long run, especially when it comes to getting in a graduate school. Beware of schools with a very small mathematics department.
I say this because, if you are really dead set at majoring in math and there are a grand total of like 4 to 8 professors and they all stink, the solution is to transfer out and go to a much bigger university. It happened to me once as I transferred out, and they all were replaced many years later. I do not recommend working during the year. Save that for the summer.
Find out in advance what books your professors will use in class. Study them 2 to 4 months ahead of the classes plus supplementary books.
Master the first 2 to 4 chapters, and you will be way ahead of your classmates; all left to do is to plug in the holes during the semester. Go to YouTube and search for good lessons on what you are learning at the moment. I recommend studying for at least 6 hours a day.
My norm is 10 to 12 hours a day. Math is too fun; time sure flies fast. So, I recommend you to switch to another major and save your money and time. All in all, How to Study as a Mathematics Major is a joke.
How to Study as a Mathematics Major
Dr Lara Alcock
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