• Linear Algebra

    Linear Algebra

    complex numbers set of . . . such that . . . sequence; like a set but order matters vector spaces vectors zero vector, zero vector of V bases standard basis for Rn basis vectors matrix representing the vector set of n-th degree polynomials set of n×m matrices span of the set S direct sum of subspaces isomorphic spaces homomorphisms matrices transformations; maps from a space to itself square matrices matrix representing the map h matrix entry...

     446 p dnulib 28/12/2012 171 3

  • Answers to Exercises

    Answers to Exercises

    Notation R N C {. . . . . .} ... V, W, U v, w 0, 0V B, D En = e1 , . . . , en β, δ RepB (v) Pn Mn×m [S] M ⊕N V ∼W = h, g H, G t, s T, S RepB,D (h) hi,j |T | R(h), N (h) R∞ (h), N∞ (h) real numbers natural numbers: {0, 1, 2, . . .} complex numbers set of . . . such that . . . sequence; like a set but order matters vector spaces vectors zero vector, zero vector of V bases standard basis for Rn basis vectors matrix representing the...

     213 p dnulib 28/12/2012 132 2

  • Top 20 great grammar for great writing

    Top 20 great grammar for great writing

    By providing instruction and practice of the 20 most troublesome grammar points, Top 20 helps students master the essential grammar they need to produce great writing at the intermediate to advanced levels.

     303 p dnulib 09/12/2012 208 24

  • Top 10 great grammar for great writing

    Top 10 great grammar for great writing

    Top 10 helps students master the essential grammar they need to produce great writing. Text focuses on improving the ten most common grammatical errors novice writers make.

     228 p dnulib 09/12/2012 186 23

  • Cambridge IELTS 7

    Cambridge IELTS 7

    This book provides students with an excellent opportunity to familiarize themselves with IELTS and to practise examination techniques using authentic test material prepared by Cambridge ESOL. Each collection contains 4 complete tests for Academic candidates, plus extra Reading and Writing modules for General Training candidates. An introduction to these different modules is included in each book, together with an explanation of the scoring...

     177 p dnulib 27/11/2012 191 10

  • Spelling in Use: Looking Closely at Spelling in Whole Language Classrooms

    Spelling in Use: Looking Closely at Spelling in Whole Language Classrooms

    Laminack and Wood describe, in accessible and lively prose, both the theoretical foundations and the practical details of whole language classrooms. A rich collection of student writing is presented and analyzed in detail, making the book exceptionally valuable for inservice discussions or workshops on spelling and writing instruction. The book also includes chapters designed to help teachers include parents in the conversation.

     138 p dnulib 26/11/2012 185 12

  • LongMan Preparation Course for the TOEFL Test

    LongMan Preparation Course for the TOEFL Test

    Longman Preparation Course for the TOEFL® Test: Next Generation (IBT), a book/CD-ROM package written by Deborah Phillips, gives students all the tools they need to succeed on the new TOEFL® integrated-skills test. Providing both a comprehensive language skills course and a wealth of practice for all sections of the test, the Longman Preparation Course is appropriate for courses in TOEFL® Test preparation or as a supplement to more...

     167 p dnulib 26/11/2012 204 12

  • Trouble with Adjectives, Adverbs and Pronouns?: Guided Discovery Materials, Exercises and Teaching Tips at Elementary and Intermediate Levels

    Trouble with Adjectives, Adverbs and Pronouns?: Guided Discovery Materials, Exercises and Teaching Tips at Elementary and Intermediate Levels

    Trouble with Adjectives, Adverbs, and Pronouns? identifies common elementary and intermediate “trouble spots”, enable students to discover, practice and master key grammar rules, and provides the teacher with full guidance on classroom presentation and exploitation *Guided discovery activities that clarify and explain *Photocopiable materials that reinforce understanding *Comprehensive teaching notes that ensure success

     68 p dnulib 26/11/2012 171 10

  • Cambridge IELTS 6

    Cambridge IELTS 6

    This book provides students with an excellent opportunity to familiarize themselves with IELTS and to practise examination techniques using authentic test material prepared by Cambridge ESOL. Each collection contains 4 complete tests for Academic candidates, plus extra Reading and Writing modules for General Training candidates. An introduction to these different modules is included in each book, together with an explanation of the scoring...

     100 p dnulib 26/11/2012 175 12

  • Cambridge IELTS 4

    Cambridge IELTS 4

    This book provides students with an excellent opportunity to familiarize themselves with IELTS and to practise examination techniques using authentic test material prepared by Cambridge ESOL. Each collection contains 4 complete tests for Academic candidates, plus extra Reading and Writing modules for General Training candidates. An introduction to these different modules is included in each book, together with an explanation of the scoring...

     98 p dnulib 26/11/2012 189 11

  • Cambridge IELTS 1

    Cambridge IELTS 1

    This book provides students with an excellent opportunity to familiarize themselves with IELTS and to practise examination techniques using authentic test material prepared by Cambridge ESOL. Each collection contains 4 complete tests for Academic candidates, plus extra Reading and Writing modules for General Training candidates. An introduction to these different modules is included in each book, together with an explanation of the scoring...

     162 p dnulib 26/11/2012 178 22

  • Cambridge IELTS 5

    Cambridge IELTS 5

    This book provides students with an excellent opportunity to familiarize themselves with IELTS and to practise examination techniques using authentic test material prepared by Cambridge ESOL. Each collection contains 4 complete tests for Academic candidates, plus extra Reading and Writing modules for General Training candidates. An introduction to these different modules is included in each book, together with an explanation of the...

     178 p dnulib 26/11/2012 161 13

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