It’s rare that we get to cover math here. So here it goes: Adrian Banner, a lecturer at Princeton, has put together a lecture series (in video) that. Adrian Banner’s The Calculus Lifesaver is an excellent companion text as well. It’s not really a textbook, but it’s a great reference to help you. The Calculus Lifesaver – Συγγραφέας: Banner Adrian – ISBN:

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Calculus Lifesaver: A Free Online Course from Princeton | Open Culture

For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it.

All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner’s popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A’s but get only average grades on exams.


The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook.

Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an “inner monologue”–the train of thought students should be following in order to solve the problem–providing the necessary reasoning as well as the solution.

The book’s emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory.

The Calculus Lifesaver

The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus.

Functions, Graphs, and Lines 1 1. Review of Trigonometry 25 2. Introduction to Limits 41 3.

The Calculus Lifesaver by Banner, Adrian – PDF Drive

The Basic Idea 41 3. Continuity and Differentiability 75 5.


How to Solve Differentiation Problems 99 6. Trig Limits and Derivatives cslculus. Implicit Differentiation and Related Rates 8. Exponentials and Logarithms 9. Inverse Functions and Inverse Trig Functions The Derivative and Graphs Sketching Graphs Optimization and Linearization L’Hopital’s Rule and Overview of Limits Introduction to Integration Definite Integrals The Fundamental Theorems of Calculus The First Fundamental Theorem The Second Fundamental Theorem Techniques of Integration, Part One Techniques of Integration, Part Two banneer Basic Concepts How to Solve Problems How to Solve Series Problems How to Calcukus Estimation Problems Taylor and Power Series: Parametric Equations and Polar Coordinates Complex Numbers Volumes, Arc Lengths, and Surface Areas Differential Equations Princeton Lifesaver Study Guides.