The Calculus Lifesaver: All the Tools You Need to Excel at Calculus is a book written by the author Adrian Banner. The book is focused on providing insight into the field of calculus. It helps the students learn about the subject. The book was published in 2007 under the publishing house of the Princeton University.

## The Calculus Lifesaver pdf Review:

For most students, Calculus is the hardest subject of math and they need extreme help with it. This book is aimed at doing so and not only does it teach the topic to the students, it also ensures that the students excel at Calculus. The author wanted to write a book for those students who get average grades but they hope to get those As. For that, he has also made the videotaped lectures of the whole course available on the net. In the book, there are also many exercises for the students to test their knowledge. It is quite an easy to use and a well-explained book for every student.

## The Calculus Lifesaver: All the Tools You Need to Excel at Calculus PDF Features:

• There are more than 450 examples in the book, both complex and simple to make the reader understand the subject better.
• The author has explained justified many theorems and methods in the book. He has also explained their application in real life.
• The author has explained hard chapters in much better detail. For example, the chapter on infinite series is well-explained and has been approved and appraised by freshmen in university.

Welcome xviii
How to Use This Book to Study for an Exam xix
Two all-purpose study tips xx
Key sections for exam review (by topic) xx
Acknowledgments xxiii
Chapter 1: Functions, Graphs, and Lines 1
1.1 Functions 1
1.1.1 Interval notation 3
1.1.2 Finding the domain 4
1.1.3 Finding the range using the graph 5
1.1.4 The vertical line test 6
1.2 Inverse Functions 7
1.2.1 The horizontal line test 8
1.2.2 Finding the inverse 9
1.2.3 Restricting the domain 9
1.2.4 Inverses of inverse functions 11
1.3 Composition of Functions 11
1.4 Odd and Even Functions 14
1.5 Graphs of Linear Functions 17
1.6 Common Functions and Graphs 19
Chapter 2: Review of Trigonometry 25
2.1 The Basics 25
2.2 Extending the Domain of Trig Functions 28
2.2.1 The ASTC method 31
2.2.2 Trig functions outside [0; 2π] 33
2.3 The Graphs of Trig Functions 35
2.4 Trig Identities 39