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A Basic Approach to Precalculus Trigonometry: Preparing to Succeed in Calculus provides a concise, accessible introduction to trigonometry for high school and first-year college and university students. The book builds up the skill sets needed to succeed in college and university calculus courses. The material is organized into five chapters: rational functions; trigonometric functions; trigonometric identities and equations; applications of trigonometric functions, and sequences and series. Within each section all math terms are well-defined before instruction. The instruction is then organized into manageable, easily assimilated chunks with example problems and their solutions, followed by practice opportunities. Once an instructional unit is completed, all steps are listed in box format to help students organize and remember information. A Basic Approach to Precalculus Trigonometry breaks mathematical concepts down into steps that students can approach with ease and practice with confidence. The book prepares students who are new to trigonometry to succeed in more advanced courses.
On-chip passive components such as interconnects, inductors and transformers are widely used in CMOS high speed digital, mixed-signal and radio frequency integrated circuits (ICs). Therefore, accurate modeling of circuit behavior, especially for these passive components, is crucial for first-time-right designs. This book focus on modeling and characterization of on-chip interconnects, inductors and transformers. Firstly, a fully scalable and SPICE-compatible interconnects model is established and is accurate over a wideband frequency range up to 110 GHz. Secondly, frequency- and temperature-dependent characteristics of on-chip coupled asymmetrical and symmetrical interconnects are investigated in detail. Furthermore, an eleven-element equivalent circuit model is established for on-chip spiral inductors. Additionally, a vertical tapered solenoidal inductor is designed to achieve a high resonance frequency. Finally, extensive studies on the performances of on-chip transformers with and without patterned ground shields at different temperatures are carried out. This book targets at those who are interested in the CMOS IC designs, and would like to develop passive devices models.
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