Wednesday, April 22, 2009
Monday, April 13, 2009
Attitude is Everything
The theme lately in MAT 271 is being stuck. The material is also a bit tougher in MAT 521 and 308 than before.
Most students think being stuck is a bad thing. We have been raised to think that you need the teacher to show you all the steps and that you don't have to think for yourself. Follow the leader. Don't think. Just memorize and get through it.
That's not math. As a math major your role is to think deeply about the math you are learning. When you are stuck it means you are missing some key ingredient. It is this struggle to try to make sense of what is going when you will develop knowledge and wisdom.
We are better together. Most MAT 271 students work alone outside of class. This is basically the formula for more frustration, more struggle, and less learning. You are paying big money to attend college. Do yourself a favor and work with others. Go to office hours, meet with classmates, and bring questions to class. This is about YOUR education after all. When you give up on a problem, you are giving up on yourself.
Thursday, March 26, 2009
MAT 271
Proof writing is hard. While grading the latest homework, I am struck by the lack of questions. I know when you are stuck it is easy to put your pencil down. But if you are stuck, the proper action is to think of a question(s) to ask. If you don't know how to prove 3 is a limit point of (3,4), then what can you ask me or a classmate that can help you (besides something like "What's the answer?")?
Being stuck is part of being a mathematician. Being stuck isn't bad. It's just part of the process. You may have been told in the past (implicitly or explicitly) that doing math quickly is what counts. You may have been told in the past that being stuck is bad. But that's all wrong! Problem solving takes time, and getting good at problem solving requires problem solving skills, which you are developing now.
Developing the ability to do proofs reminds me of something from science. When ice turns into water, there is a transition period where the temperature stays constant. The energy is going into the transformation of states, so the temperature stays the same during the transformation. Your efforts may not appear to be making a change, since you are often stuck on a problem. The message here is that the energy you are exerting is going into your own, personal transformation. You may not see the differences in the usual ways, and the results may take a while. Giving up in the middle of the process is perhaps the biggest disservice you can do to yourself. Keep pushing the rock...
Dr. Y
Wednesday, March 25, 2009
How big is a Trillion?
A trillion is a milllion million. The world economy has lost trillions of dollars recently due to the global financial crisis. One trillion dollars is enough to buy one million $1 million homes. So pretty much everyone in LA city could live in a mansion for that amount of money. Or you fund the CSU system for about the next 200 years. It's a lot of money.
MAT 521: Next week is spring break. We will meet next on April 6. Your project outline and bibliography are due along with 41-45 from Clark's book.
MAT 308: The last set of problems was more challenging. Don't be discouraged. Rather think of this as an opportunity to review some math that you may not have used in a geometry context before. Algebra and Geometry are not separate fields. They are closely linked and as you have seen.
MAT 271: Proof writing is hard. Period. Your role as 271 students is to spend a lot of time thinking about the concepts and breaking things down as best you can. Doing nothing (i.e. quitting) is not an effective strategy. Never give up. Try simple cases. Then try to generalize. Believe in yourself.
Dr. Y
PS This whole flap about AIG is way out of proportion. Our economy is losing trillions. The bonuses to AIG is less than 0.01% of the problem. Reminds me of Dr. Evil... Link
Tuesday, March 24, 2009
Special Cases

When you're stuck on new material, try to break things down into simpler cases or special cases. By working out the special cases you can think about the ideas you are stuck on in a more concrete form. Even though the special cases may not solve the original problem by themselves, the insights gained are often necessary in the development of the final solution.
A funny comic from the Far Side.
Thursday, March 19, 2009
School and Work
We see this all the time at CSUDH. Many CSUDH students take on too much. They work 30+ hours and try to take a full load of classes. When midterms hit, they are sunk. Bad grades, stress, too much homework, etc. It's no fun and not good for you. If you work more than 20 hours per week, I strongly advise you to be a part time student and take two courses per term. Enjoy the process of learning and get good grades.
There are options out there to get loans and scholarships. Go to the financial aid office and see what is out there. If you can work less, then you can take more classes and graduate sooner (while maintaining good grades).
Homework for next week has been posted. Click through the links at www.stanyoshinobu.com
Dr. Y
Tuesday, March 10, 2009
Emailing Attachments
Hi all,
Just a friendly reminder that if you email documents please try to use a universal format such as .pdf or .txt. MS Word is notoriously incompatible with itself across different versions and platforms.
gmail has a nice feature that allows you to fetch email from a pop server. If your DH email account has the pop server enabled, then you can use gmail to fetch your DH email, and then forward it (if necessary) to your preferred email account.
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