For example, it is a hard theorem that a continuous real-valued function defined on a closed interval of the real numbers attains its maximum value. However, “easy” theorems are discussed throughout the course, and you are expected to understand their proofs completely. This means that you are expected to understand these theorems as to their hypotheses and conclusions, but not to understand or even see their proofs. This goal shows itself in that we present no “hard” proofs, though we do present “hard” theorems. The orientation of the course is toward the problem aspects, though we go into great depth concerning the theory behind the computational skills that are developed. Goal: To achieve a thorough understanding of vector calculus, including both problem solving and theoretical aspects. The loxodrome is being rotated about the z-axis. The blue line is a loxodrome, described parametrically by ∇ in other coordinates A Highlight: Loxodrome (chapter 6) They may be viewed on your computer if you have Adobe Acrobat Reader.ġ5. The chapters are available online in portable document format (PDF). You may pay me with cash or a personal check made out to Rice University. ![]() The price of $34 is simply to cover the cost of photocopying and binding. Office Hours: announced daily, or by appointmentīook: I have written the text for the course, and although it is not yet published I have in my office bound copies for sale. Which Upper Level Courses Should I Take?.Beginnings of the Department by Hubert E.Department Statement on Collegiality, Respect, and Sensitivity.
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