The purpose of this manual is to assist oceanography instructors in the teaching of mathematical techniques that are used to solve oceanographic and other scientific problems. The quantitative problems presented are designed to give students experience with real scientific data. Students will learn how scientists use the data they have collected to calculate key information about the oceans. They will also learn how to interpret real scientific data with real sampling and measurement errors. In many cases, the quantitative problems require that students derive equations and methods they must use to solve the problems. This manual gives instructors the tools they need to help students derive these equations and methods. Also, in many cases, the problems require that students perform the same calculations with many different data points. This gives instructors the opportunity to teach students how to use spreadsheets and other computing tools to deal with large amounts of data.