Tips for Doing Well in Calculus

• Develop an effective and time-efficient homework/study strategy for, not only your calculus class, but other classes as well. This will help you become a more confident, successful, and well-rounded student. It will lead to a healthier balance between work time and leisure time.

• Spend at least two to four hours on each homework assignment. This affords you extra time to work on challenging homework problems and facilitates your organizing your thoughts and ideas. The more time you spend on homework, the more likely you are to articulate clear, concise questions to your classmates and teachers. The more time you spend on homework, the less time you will spend on frantic, last-minute preparation for exams.

• Find at least one or two other students from your calculus class with whom you can regularly do homework and prepare for exams. Your classmates are perhaps the least used and arguably your best resource. An efficient and effective study group will streamline homework and study time, reduce the need for attendance at office hours, and greatly improve your written and spoken communication.

• Begin preparing/outlining for exams at least five class days before the exam. Outlining the topics, definitions, theorems, equations, etc. that you need to know for the exam will help you focus on those areas where you are least prepared. Preparing early for the exam will build your self-confidence and reduce anxiety on the day of the exam. It's also an insurance policy against time lost to illness, unexpected family visits, and last minute assignments in other classes. Generally speaking, pulling all-nighters and doing last-minute cramming for exams is a recipe for eventual academic disaster.

• Prepare for exams by working on new problems . Good sources for these problems are unassigned problems from your textbook, review exercises and practice exams at the end of each chapter or old exams. Because most problems for a given topic are generally found in the same section of the book, knowing how to do a problem because you know what section of the book it is in could give you a false sense of security. It is better to work on randomly mixed new problems because it requires that you both categorize a problem and then solve it, which more closely simulates an exam situation.

• Prepare for exams by finding new ways to do old problems . Many problems in this course will have more than one way to do them. The more ways you see how to do a problem, the more likely it is that you know the best way to do the problem, and the better you understand the problem. Knowing the best way to do problems saves time on exams. Once you have found one way to do a problem, you can build upon that understanding by seeking other ways to do it. One way to do this is by comparing your solution with those of your classmates. You will find that explaining your solution to others will challenge your own understanding and stimulate new insights.

• Use all resources of information which are available to you. These include classnotes, homework solutions, your professor, tutoring services, and your classmates. Do not rely exclusively on just one or two of these resources. Using all of them will help you develop a broader, more natural base of knowledge.

• Expect your exams to be challenging . If they are challenging, you will be prepared. If they aren't challenging, you will likely do very well.

• Knowledge is a means to personal empowerment. Attaining knowledge can be an endless source of joy and satisfaction.