Some Suggestions For First Year Mathematics Students

These remarks are provided to assist you, the first year student, 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 first year 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.

  1. In all mathematics courses, the key to success can be summarized briefly:

    DEVELOP REGULAR WORK HABITS SO 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.

  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.

  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.

  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.

  5. There is a Math Study Hall operated in Hylan 1103 which is open for extended periods and staffed by TAs who will assist you. Learning Assistance Services in Lattimore 124 (275-9049) offers tutoring, study groups, and seminars on study techniques. More detailed information will be announced in your mathematics class.

  6. 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.

  7. 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.

  8. 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.


      He studied and nearly mastered the six books of Euclid since he was a member of Congress. He began a course of rigid mental discipline with the intent to improve his faculties, especially his power of logic and language. Hence his fondness for Euclid, which he carried with him on the circuit till he could demonstrate with ease all the propositions in the six books; often studying far into the night, with a candle near his pillow, while his fellow-lawyers, half a dozen in a room, filled the air with interminable snoring.
      Abraham Lincoln (Short Autobiography, 1860)

      "O King, for travelling over the country, there are royal roads and roads for common citizens; but in geometry there is one road for all."
      Menaechmus (on being asked by his pupil, Alexander the Great, for a short cut to learning geometry)