Math 1B: Calculus Worksheets 7th Edition Department of Mathematics, University of California at Berkeley i Math 1B Worksheets, 7th Edition Preface 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
[email protected]. 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.