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Come to class and take notes during lecture. Read each section of the text prior to the lecture where it will be covered. As you read the text, have pencil and paper handy. Work through the computations. Find examples to illustrate the theorems and results in the text. If the text tells you that every differentiable function is continuous, think of examples of differentiable functions and check if they are continuous. Think of examples of functions that are not continuous and determine if they are differentiable. Can you think of an example of a function that is continuous but not differentiable? Begin the homework immediately after material is covered in class. Mathematics is cumulative. In order to benefit from Wednesday's lecture, you must understand the material covered on Monday. Find classmates and form a study group. Spend time discussing problems. Do not fall behind. It is very difficult to catch up in a math class after falling behind. Begin preparing for exams well in advance. Readthe text again to review all of the material to becovered on the exam. Be sure you arefamiliar with the main results and theorems and howthey are used in homework. Complete all worksheet problemsand check your answers against other members of yourstudy group. Make sure you review WeBWorK questionsand solutions to written assignments. Work additional problems to prepare for the exam. Use old exams from previous semesters of MA 113 to take a practice test. Treat it like a test. Compare your solutions with those provided by the answer key. If you are having trouble, then seek help immediately.
These editorial comments One last suggestion to the authors: could you improve the abstract? By abstract we actually mean a lead section in the sense of Wikipedia, see this discussion. The existing abstract is very short for such a long article, and the Bourbaki quote is not easy to understand in this context. Many readers will go no further than the abstract, so it would be good to concisely state the article's main points there, in a way that is accessible to non-mathematicians. d2c66b5586