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This book bridges the gap between writing paragraphs and writing essays. The Instructor's Manual contains teaching suggestions, sample syllabi, and answer keys for the Student's Book.
Ventures is a six-level, standards-based ESL series for adult-education ESL. This Teacher's Manual provides instructional support that makes Transitions even easier to teach. Key features include: lesson plans for teaching clear and engaging classes; lesson notes with dozens of additional activities; Student's Book answer key; student audio script.
The Instructor's solutions manual to accompany Atkins' Physical Chemistry provides detailed solutions to the 'b' exercises and the even-numbered discussion questions and problems that feature in the ninth edition of Atkins' Physical Chemistry . The manual is intended for instructors and consists of material that is not available to undergraduates. The manual is free to all adopters of the main text.
Attention grabbing, creative activities to turn potentially stressful transition into fun learning experiences.
As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last three chapters address topics such as continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio, and may be used for independent reading assignments. The treatment of sequences may be used to introduce epsilon-delta proofs. The selection of topics provides flexibility for the instructor in a course designed to spark the interest of students through exciting material while preparing them for subsequent proof-based courses.