This work has two primary parts. One consists of the 13 LABS and three Projects in this manual. The other is a set of instructional M-files that harness the power of the software package MATLAB tm to render it appropriate for an educational setting. The LABS and Projects are meant to supplement a standard sophomore level course in linear algebra. They follow the general outline for such a course, introducing instructional routines and appropriate MATLAB commands to solve problems related to each concept. Our primary goal is to use the laboratory experiences to aid in understanding the basic ideas of linear algebra. As such we use instructional M-files that provide a tool kit for working with linear algebra without the need for programming in the MATLAB command set. Although no programming background is assumed, those students with computing skills can further enhance their skills within MATLAB. We have found that students initially rely on the tool kit, but many quickly begin to use MATLAB commands directly, even though we provide little formal instruction in this area. We recommend an instructional approach that integrates the language and terminology of computing within the lecture format. In addition, when possible and appropriate, computer demonstrations and experiments should be used in lectures. Three of the LABS are different from the others. LAB 5 examines sets with addition and scalar multiplication and investigates the defining properties of a vector space in a pedagogical way. LAB 8 presents the defining properties of the determinant in such a way that a considerable amount of class time can be saved on this topic. Also, LAB 11 presents an independent supplement to the standard classroom coverage of linear transformations by examining the geometry of plane linear transformations. New Section 11.2 introduces homogeneous coordinates to incorporate translations. The LABS are not self contained. Except for LABS 8 and 11, they assume that the material has already been presented in the classroom. Sometimes, however, it is expedient to discuss a topic using a fresh, computational approach. New material has been added to this third addition, both in the LABS and in the accompanying instructional M-files. The modifications to the LABS provide a number of alternate approaches to topics some of which use more graphically oriented M-files to provide visualization of concepts. Many of the instructional M-files have been enhanced to take advantage of the graphical user interface GUI available in MATLAB . In addition we have included instructional files that use the Symbolic Math Toolbox. These sections can be omitted without loss of continuity if this toolbox is not available. A detailed list of new features is on page viii and a short description of all the instructional files is on page x. A full description of the instructional files is available by printing alldesc.txt that accompanies the tool kit of instructional files. We extend our sincere gratitude to the National Science Foundation ILI #DMS-9051282 for providing the funds for implementing a mathematics laboratory at Temple University. This facility provided the educational arena necessary to develop the laboratory materials and extend our instructional M-files for MATLAB from 1990 to 1993. We thank the many students who were patient with and receptive to using the laboratory to aid in the development and understanding of the concepts of linear algebra. A special thanks to our colleague Dr. Nicholas Macri for his valuable assistance in designing and preparing this manual. David R. Hill David E. Zitarelh May, 2003

Linear Algebra Labs with MATLAB

Science & Math

Hill, DAVID

Zitarelli, David

Mathematics

Pearson

This book presents the basic ideas of linear algebra in a manner that users will find understandable. It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts.  Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra.  Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.

Elementary Linear Algebra with Applications (9th Edition)

Kolman, Bernard

Academic Connections is a four-level integrated skills course designed for students preparing for academic study as well as for standardized tests such as the TOEFL®test. A systematic, step-by-step approach helps students develop and sharpen their language, academic, and test-taking abilities. Academic Connections was developed with the Educational Testing Service (ETS) and is based on extensive research into the actual language demands of higher education. Academic Connections is: <ul>
<li> Integrated. Academic Connections integrates all four language skills and teaches students how to integrate skills and content in real-world academic contexts. </li>
<li> Academic. Explicit, step-by-step academic skill development leads to student mastery. With careful instruction and engaging practice tasks, students learn how to organize information, make connections, and think critically. </li>
<li> Authentic. High-interest and intellectually stimulating authentic material familiarizes students with academic content. Authentic tasks include listening to lectures, note-taking, participating in debates, preparing oral and written reports, and writing essays. </li>
<li> Assessment-Based. Academic Connections provides a variety of assessments and practice opportunities based upon individual needs. </li> </ul>
The Audio CD is available separately. Online Component — MyAcademicConnectionsLab MyAcademicConnectionsLab, an integral part of the Academic Connections series, is an easy-to-use online program for students and teachers that saves time and improves results. <ul>
<li> Students receive personalized instruction and practice. Reading and listening selections and test preparation are all in one place — available anywhere, anytime. </li>
<li> Teachers can take advantage of content and class management resources including online assessments, a flexible gradebook, and tools for monitoring student progress. </li> </ul>

Academic Connections 2 with MyLab Academic Connections

Reference

English as a Second Language

Pearson Education ESL

Academic Connections is a four-level integrated skills course designed for students preparing for academic study as well as for standardized tests such as the TOEFL®test. A systematic, step-by-step approach helps students develop and sharpen their language, academic, and test-taking abilities. Academic Connections was developed with the Educational Testing Service (ETS) and is based on extensive research into the actual language demands of higher education. Academic Connections is: <ul>
<li> Integrated. Academic Connections integrates all four language skills and teaches students how to integrate skills and content in real-world academic contexts. </li>
<li> Academic. Explicit, step-by-step academic skill development leads to student mastery. With careful instruction and engaging practice tasks, students learn how to organize information, make connections, and think critically. </li>
<li> Authentic. High-interest and intellectually stimulating authentic material familiarizes students with academic content. Authentic tasks include listening to lectures, note-taking, participating in debates, preparing oral and written reports, and writing essays. </li>
<li> Assessment-Based. Academic Connections provides a variety of assessments and practice opportunities based upon individual needs. </li> </ul>
The Audio CD is available separately. Online Component — MyAcademicConnectionsLab MyAcademicConnectionsLab, an integral part of the Academic Connections series, is an easy-to-use online program for students and teachers that saves time and improves results. <ul>
<li> Students receive personalized instruction and practice. Reading and listening selections and test preparation are all in one place — available anywhere, anytime. </li>
<li> Teachers can take advantage of content and class management resources including online assessments, a flexible gradebook, and tools for monitoring student progress. </li> </ul>

Academic Connections 3 with MyLab Academic Connections

Williams, Julia

For introductory sophomore-level courses in Linear Algebra or Matrix Theory. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This text presents the basic ideas of linear algebra in a manner that offers students a fine balance between abstraction/theory and computational skills. The emphasis is on not just teaching how to read a proof but also on how to write a proof.

Elementary Linear Algebra with Applications (Classic Version) (Pearson Modern Classics for Advanced Mathematics Series)

Over the years fourteen-year-old Nathan has learned a lot about muscular dystrophy from his best friend but is unprepared for Simon's rapid decline and approaching death

See Ya, Simon

Teen & Young Adult

Literature & Fiction

Puffin

Up on the world's highest mountain, the sky is tinged the black color of space and the air is almost too thin to breathe. How did Ed, a small, shy boy from a tiny New Zealand town, grow up to become the world's most famous mountaineer and adventurer? How did he climb Everest and do many other astonishing things? This exceptional picture book tells Sir Ed's story—a story of courage, skill and determination, and an inspiration to anyone who dreams of reaching the top.

First to the Top: Sir Edmund Hillary's Amazing Everest Adventure

Children's Books

Biographies

Penguin Random House New Zealand Limited

In 1967 an unknown, elderly New Zealander and his ancient Indian motorcycle set a world land-speed record at Bonneville. The man was Burt Munro, and he became a Kiwi legend. How did he do it? His amazing true story is now a stunning picture book. A crowd of people stand on a flat white plain. In the distance, a snarling, roaring dark speck is hurtling towards them. It's a motorbike. The rider is inside the shell, lying almost flat. 'Go, Burt!' The red bike blurs past.  Fingers click stop-watches. How fast has Burt Munro gone this time? The moment young Burt Munro saw a motorbike chugging down a quiet Invercargill street, he was hooked. More than 50 years later, he and his ancient Indian motorcycle would amaze the world by setting a land-speed record—one that remains unbroken to this day. Burt didn’t have much money. He wasn’t young. But he was determined. And he became a Kiwi legend. A wonderful true story about a very unlikely New Zealand champion, by the award-winning author and illustrator of First to the Top.

Speed King: Burt Munro, The World's Fastest Indian

Action & Adventure

In 1934, Jean Batten set a world record for the fastest flight from England to Australia. Just two years later, she made the first-ever solo flight from England to New Zealand. Jean's fearless determination and flying skills helped her survive storms and crashes, as she crossed great oceans and lonely deserts in her tiny plane. This gripping true story with its dazzling illustrations is the the third form the award-winning author and illustrator of First to the Top and Speed King.

Sky High: Jean Batten's Incredible Flying Adventures

Hero of the Sea: Sir Peter Blake's Mighty Ocean Quests (David Hill Kiwi Legends)

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Books by Hill, DAVID