Fall 2005

Math 115-116

Student's Guide


Table of Contents

  1. Goals
  2. Text, Calculators
  3. Reading, Writing and Speaking Calculus
  4. Home work
  5. Cooperative Learning
  6. Exams and Grading
  7. Calculus Center
  8. Studying
  9. Team work

1. Goals

Math 115-116 is about much more than learning to carry out routine calculations. The Course Goals are:

  1. Master the fundamental concepts of calculus
  2. Learn the basic skills of calculus
  3. Improve logical reasoning skills
  4. Improve problem solving skills
  5. Improve language skills related to mathematics:
    reading mathematics, writing mathematics, explaining mathematics.
  6. Learn to work collaboratively
2. Text, Calculators and Course Outline

The text for the course is Calculus, Single and Multivariable, by Hughes-Hallett, Gleason, 4th Edition. A programmable graphing calculator will be needed. The TI 82, 83, 85 or 86 are recommended as these are the ones your instructor will have programs for that you can download. Our recommended choice is the TI 83. It is possible to use other calculators but you may need to translate and enter the programs by hand.

3. Reading, Writing and Speaking calculus.

Reading the text is an important part of the course. Your instructor will not be lecturing on all the topics you will be tested on. You are expected to read the material and attempt the home work before coming to class. Writing neat and accurate solutions, using full sentences and appropriate punctuation, will be required on certain problems that you are assigned. Problems requiring written explanation will also appear on exams. Clear writing and clear thinking go hand in hand. Class discussions will emphasize the language of calculus as a means to encourage reflective thought and the communication of ideas.

4. Home work

Homework is key to this course. The homework and classroom discussions are designed to stimulate critical thinking about calculus and to help the student develop the necessary skills for success in the course. The homework emphasizes mathematics in everyday life in order to develop your ability to use calculus in other courses. It also emphasizes the reading and writing of mathematics. Writing is emphasized because it is an essential part of the thinking process and a crucial part of the process of learning calculus. There are three types of homework:

  1. Exercises are routine questions that you should work before coming to class. These problems are in the text and also are available using e-Grade (Wiley's online home work service). The Exercises will not be collected. Solutions can be checked online using e-Grade Login .
  2. Problems are more involved questions that require some reading and often written explanations. These will be collected and graded.
  3. Team work should be worked on collaboratively and handed in for grading if requested by your instructor. More about teamwork later on.

All common home work assignments are posted on the course web page. Individual instructors may assign additional problems or make alterations to the posted list.

5. Cooperative Learning

Cooperative learning is an important feature of this course. Studying and working in small groups is one of the most effective devices for learning mathematics. One reason is that you can only use what you remember, and people remember:

  • ~10% of what they read
  • ~20% of what they hear
  • ~30% of what they see
  • ~50% of what they see and hear
  • ~70% of what they discuss with others
  • ~90% of what they teach someone else

Moreover, employers look for employees who have good communication skills and can operate effectively in a team environment Team work is a skill that needs to be learned. Approach team work in this course with enthusiasm and you will not only learn calculus better but also prepare for the "real world" of work.

6. Exams and Grading

There will be two uniform exams during the Fall semester, one on October 11 and the second on November 15. These will be evening exams, from 6-8 PM, in order to allow the time necessary for the reading and writing required by the exams. An example of the first exam is given on the course home page. In the event that there is a conflict with another scheduled academic activity, you need to notify your instructor well in advance so that the problem can be cleared up. The final exam is also a uniform exam. Each of these exams will be taken by all students in all sections at the same time, and are graded by all the instructors working together.

After each exam, a letter grade will be assigned using a scale determined by the course director specifically for that exam. The level of difficulty of the exams will be considered. All sections of this course use the same grading guidelines:

Quizzes, Home work, Team work       15%
Exam 1:    Common evening exam (1-1/2 hours)   25%
Exam 2:     Common evening exam (1-1/2 hours)   25%
Final Exam:    Common (2 hours)   35%
Gateway Exam     Differentiation (Pass/Fail)   0% (see Note)
Note: Failure to pass the Gateway Exam will lower the course grade by one full letter grade.

The gateway exam. There will be a basic skills gateway test on differentiation which you need to pass with a score of 70% or more by the deadline announced in the course schedule. These routine tests are repeatable, and in general do not pose a problem for students who are keeping up with the course work. You may practice each test online as many times as you like at the Calculus Gateway Site. The gateway exam will first be given in class and after that you may take a test online for a score as often as twice per day until the deadline, November 15. The gateway tests do not have the potential to raise your grade, but a failure to pass the gateway will automatically reduce your final grade in the course by one full letter grade.

7. The Calculus Center

The Mathematics Department and the Q-Center run a free Calculus Center. The Calculus Center is staffed by course instructors, advanced undergraduate students and undergraduate tutors who have been trained to tutor calculus. This is an excellent place for your home work team to meet or you to go when you need a little extra clarification. If you are not already part of a home work team, the Calculus Center will form a team that you can join. Calculus Center hours and additional information are available on the Q-Center website.

8. Studying

"How much time do I need to study for calculus?" You should plan to study a minimum of two hours outside class for each hour in class, which means that we expect you to spend at least 6.5 hours a week outside of class working on calculus. Our text is most likely different than texts that you have used in previous math courses where it may have been possible to avoid reading the text by using examples as a pattern for the home work. This book contains the main ideas of calculus in plain English. Your success in using it will depend on your reading, questioning, and thinking hard about the ideas presented. Students using this book have found discussing the problems in small groups very helpful. Study groups may be organized by your instructor or the Calculus Center.

9. Team work

For the team home work, the teams can be organized in a variety of ways. Below is a description of how calculus teams are organized at the University of Michigan, where they have a calculus program very similar to ours. This is a very good model for you to follow in organizing your team. Each member of the team has an important role. These roles - scribe, the clarifier, the reporter, and manager - are to be rotated each week so that everyone samples each role.

Each member of the team has an important role. These roles are to be rotated each week so that everyone has the opportunity to try each role. The roles are the scribe, the clarifier, the reporter, and the manager.