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This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long. Each chapter is covered in a week, and in the remaining two weeks I summarize the entire course, answer lots of questions, and prepare the students for the exam. I do not cover the material in the appendices in the lectures. Some of it is basic material that the students have already seen that I include for completeness and other topics are "tasters" for more advanced material that students will encounter in later courses or in their project work. Students are very curious about the notion of chaos, and I have included some material in an appendix on that concept. The focus in that appendix is only to connect it with ideas that have been developed in this course related to ODEs and to prepare them for more advanced courses in dynamical systems and ergodic theory that are available in their third and fourth years.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations Textbooks Differential equations Partial
- Resource Type:
- e-book
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e-book
At its most basic definition the practice of law comprises conducting research to find relevant rules of law and then applying those rules to the specific set of circumstances faced by a client. However, in American law, the legal rules to be applied derive from myriad sources, complicating the process and making legal research different from other sorts of research. This text introduces first-year law students to the new kind of research required to study and to practice law. It seeks to demystify the art of legal research by following a “Source and Process” approach. First, the text introduces students to the major sources of American law and describes the forms the various authorities traditionally took in print. After establishing this base, the text proceeds to instruct students on the methods they will most likely use in practice, namely electronic research techniques and the consultation of secondary sources. Sources of Law incorporates screencasts currently hosted on YouTube that actively demonstrate the processes described in the static text. Finally, the text illustrates how the different pieces come together in the legal research process. Sources of Law focuses on realistic goals for 1Ls to learn in a relatively small amount of instruction time, and so focuses mainly on the basics. It does introduce some advanced material so that 1Ls can recognize pieces of information they may encounter in research, but it does not fully cover researching materials outside the scope of the traditional 1L course. As such, it is best-suited for introductory legal research courses for 1Ls.
- Keywords:
- United States Legal research Textbooks
- Resource Type:
- e-book