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Math 1B: Calculus Worksheets
7th Edition
Department of Mathematics, University of California at Berkeley
i Math 1B Worksheets, 7th Edition
This booklet contains the worksheets for Math 1B, U.C. Berkeley's second semester
calculus course.
The introduction of each worksheet briefly motivates the main ideas but is not intended
as a substitute for the textbook or lectures. The questions emphasize qualitative issues
and the problems are more computationally intensive. The additional problems are more
challenging and sometimes deal with technical details or tangential concepts.
About the worksheets
This booklet contains the worksheets that you will be using in the discussion section
of your course. Each worksheet contains Questions, and most also have Problems and Ad-
ditional Problems. The Questions emphasize qualitative issues and answers for them may
vary. The Problems tend to be computationally intensive. The Additional Problems are
sometimes more challenging and concern technical details or topics related to the Questions
and Problems.
Some worksheets contain more problems than can be done during one discussion section.
Do not despair! You are not intended to do every problem of every worksheet. Please email
any comments to calclab@math.berkeley.edu.
Why worksheets?
There are several reasons to use worksheets:
? Communicating to learn. You learn from the explanations and questions of the students
in your class as well as from lectures. Explaining to others enhances your understanding
and allows you to correct misunderstandings.
? Learning to communicate. Research in fields such as engineering and experimental
science is often done in groups. Research results are often described in talks and
lectures. Being able to communicate about science is an important skill in many
? Learning to work in groups. Industry wants graduates who can communicate and work
with others.
The 5th and 6th editions have been revised by Cathy Kessel and Michael Wu. The third
and fourth editions were prepared by Zeph Grunschlag and William Stein, and introduced a
relatively small number of changes to Christine Heitsch's second edition. Michael Hutchings
made tiny changes for the 7th edition.
The authors of the fourth edition would like to thank Roland Dreier for his helpful
Contributors to this workbook include: Aaron Abrams, Zeph Grunschlag, Christine
Heitsch, Tom Insel, George Johnson, David Jones, Reese Jones, Cathy Kessel, Julie Mitchell,
Bob Pratt, Fraydoun Rezakhanlou, William Stein, Alan Weinstein, and Michael Wu.

How do you turn a worksheet into an activity in math? One way of turning a worksheet into an activity is by playing MATHO. Using the game sheet found on the following page, turn any worksheet into an activity. Write the answers to a worksheet (16 to 20 answers) on the board and have students copy the answers onto different squares on their game board.