Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets …
Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
"This text is designed to teach the concepts and techniques of basic …
"This text is designed to teach the concepts and techniques of basic linear algebra as a rigorous mathematical subject. Besides computational proficiency, there is an emphasis on understanding definitions and theorems, as well as reading, understanding and creating proofs. A strictly logical organization, complete and exceedingly detailed proofs of every theorem, advice on techniques for reading and writing proofs, and a selection of challenging theoretical exercises will slowly provide the novice with the tools and confidence to be able to study other mathematical topics in a rigorous fashion." -- Preface
This guide describes a novel project structure for sky observations commonly assigned …
This guide describes a novel project structure for sky observations commonly assigned in introductory level astronomy students at either the high school or undergraduate level. The project is an outside class assignment optimized for a large course that meets during the day. The goal of this activity is for students to make independent observations at a fixed time of day to develop an understanding of: (1) how annual motion of the Earth relates to observed position of the Sun as it sets towards the West; and (2) changes in the Moon phase over the lunar month and how the phase of the Moon relates to its position in the sky relative to the Sun. Students synthesize their understanding by responding to summary questions at the conclusion of the project. The questions require students to use their collection of observations to make predictions about future sunset and Moon positions and Moon phases.
A critical component of this work is an associated scoring script, available through GitHub. The algorithm uses Sun and Moon position data and Moon phase data downloaded by the user from the United States Naval Observatory to score student input and provide feedback in an efficient manner. This allows instructors to assign and grade student observations even in a large university class.
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