Adapted from the "Mathematics Survival Guide" at the University of Rochester |
These remarks are provided to assist students in making the transition from high school to university. For a student with intellectual curiosity who is determined to work regularly from the beginning of the term, a mathematics course can be remarkably rewarding and stimulating. However, the unwary student may fall into difficulties and have a poor experience instead. These notes are intended to help you avoid that. |
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1. Develop regular work habits so that you do not fall behind. This will ensure that you develop the depth, breadth and maturity of your knowledge. It means: attend lectures and recitations, do assignments and enough extra problems to master the material. If you attend lectures, but don't do exercises, you may get lulled into a false sense of accomplishment and can expect a rude shock. In mathematics a thorough knowledge of the previous material is essential to reach an understanding of new material. Hence, falling behind tends to be cumulative and is one of the most frequent causes of failure. Understanding grows with time and experience. Do not expect to follow the mathematics completely, right away; you will have to think about it, and it may not be until later work is covered that you can appreciate the full significance of earlier material. |
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2. Some of the ideas in many first year courses, such as differentiation, have been introduced in high school. This does not mean the course is a review. New and more sophisticated concepts will be introduced and must be mastered at a new and higher level of thoroughness and understanding. |
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3. Learn from doing badly. If you receive a poor grade on early tests or assignments, that is an important signal that you are not mastering the material at an appropriate level. You can deal with this by working harder and consulting about problems with your TA or instructor. |
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4. If you are having difficulty, first consult your TA; then if the problems persist, your instructor. Professors have regular office hours and are generally willing to meeting with students outside these times by appointment. It should be emphasized that it is your responsibility to seek help if difficulties arise. |
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5. Do not delay asking for assistance until the day before the exam. It is impossible to cram mathematics at the last minute. Just as with playing a musical instrument, learning mathematics involves a development of skills and understanding that must be consolidated over a period of time. |
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6. One of the main differences between high school and university is that, at the university, you are expected to be responsible for mastering course material. Considerable help is offered--lectures, recitations, mathematics assistance centers and personal help--but it's your responsibility to utilize it. |
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7. If, nevertheless, you find that you have fallen behind in your coursework, speak with your instructor. He or she can advise you whether to transfer to a different sequence. Usually you can do this without penalty. |