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gibson:teaching:spring-2015:math527:advice [2015/02/16 07:40] gibson |
gibson:teaching:spring-2015:math527:advice [2015/02/17 08:22] (current) gibson |
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* Always write equations. If you just manipulate expressions, you're likely to make mistakes when you plug them back into equations. | * Always write equations. If you just manipulate expressions, you're likely to make mistakes when you plug them back into equations. | ||
* Always do the same thing to both sides of the equation. Don't subtract 2 from the right-hand side but divide by 2 on the left, or integrate the left with respect to x and the right with respect to y. | * Always do the same thing to both sides of the equation. Don't subtract 2 from the right-hand side but divide by 2 on the left, or integrate the left with respect to x and the right with respect to y. | ||
- | * Attend lecture and recitation regularly, and try to keep your mind entirely focused on the material. | + | * Attend lecture and recitation regularly, and try to keep your mind focused on the material. |
* If you don't understand something, ask a question. | * If you don't understand something, ask a question. | ||
* Come to office hours. Get some personal attention! | * Come to office hours. Get some personal attention! | ||
+ | |||
+ | To learn and prepare yourself for life (much of the same!) | ||
+ | * Be careful and organized. | ||
+ | * Train yourself to focus, think hard, and push out distractions. | ||
+ | * Learn to recognize when you're puzzled about something, and then to do something about it. Framing a question is a good start. Be specific. | ||
+ | * Take your humanities classes just as seriously as your science classes. That's where you'll learn to think critically and independently and to express yourself clearly. | ||