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### 300S07PE3

Course: MATH 300, Fall 2008
School: UMass (Amherst)
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Word Count: 129

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300 MATH Practise Exam 3 April, 2007 The actual exam consists of two parts. In the first part, you will be asked to slove a recursive relation. In the second part of the exam, you will be asked to prove the following 3 theorems. 1. X = {1, 2, 3, 4, , 2006, 2007}. Find the least integer n so that every subset of X with n or more elements contains 3 consecutive integers, and justify answer. your (Hint. you need...

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300 MATH Practise Exam 3 April, 2007 The actual exam consists of two parts. In the first part, you will be asked to slove a recursive relation. In the second part of the exam, you will be asked to prove the following 3 theorems. 1. X = {1, 2, 3, 4, , 2006, 2007}. Find the least integer n so that every subset of X with n or more elements contains 3 consecutive integers, and justify answer. your (Hint. you need show: (i) There is a subset of X with n - 1 elements that does not contain 3 consecutive integers; (ii) Every subset of X with n or more elements contains 3 consecutive integers.) 2. Prove that, for a...

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Wisdom in Ancient Israel. Proverbs.ID: parallelismus membrorum; Lady Wisdom Primary Readings: Proverbs 1; 69; 3031; Ben Sira 24; 1 Enoch 42; John 11. What is Wisdom? 1.1 Wisdom As a Way of Life. Wisdom, as a way of life. Wisdom is the cultivation of exp
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The Death of MosesIDs: Ha'azinu; &quot;the man apart&quot; Primary Readings: Genesis 4850; Deuteronomy 13; 32341. Genesis 4850 The end of Genesis and the end of the Torah-structural parallels? 2. Deuteronomy 32: Shirat Ha'azinu Moses' final poem describes the con
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The SabbathIDs: the Decalogue; Imitatio Dei Primary Readings: Genesis 1:12:3; Exodus 20 vs Deuteronomy 5; Exodus 31:1218; Numbers 15:3236; Matthew 12:114 The Infancy Story of Thomas 1.12.5 (from the NT Apocrypha; late 2nd cent. A.D.)- 1. The Sabbath and
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Acton School of Business - RELI - 122
Survey of the History of Ancient IsraelIDs: Josiah; Nebuchadnezzar Primary Readings: Genesis 12; 4950; Exodus 13; Deuteronomy 3234; 1 Samuel 7 10; 2 Samuel 57; 1 Kings 1112; 16; 2 Kings 2225; Ezra 1; 46 History of Ancient Israel (all dates are BCE = Befo
Acton School of Business - RELI - 122
Postexilic Prophecy: Haggai, Zechariah, and MalachiIDs: Zerubbabel; proto-apocalyptic Primary Readings: Haggai (complete); Zechariah (complete); Malachi (complete)THE RESTORATION539 BCE 538 BCE 520 BCE 515 BCE Cyrus II (557529 BCE; Isaiah 44:2845:4, 13
Acton School of Business - RELI - 122
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Acton School of Business - RELI - 122
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Acton School of Business - RELI - 122
Moses and the Historicity of the ExodusIDs: ElAmarna/the Amarna Period; `Apiru; Ramasses II Primary Reading: Exodus 115; Judges 5The Name of Moses 1. The Exodus in Context 1.1 The Literary Context: The Book of ExodusEXODUS111 1218 1923 24 2531 3234 35
Acton School of Business - RELI - 122
More Jewish Novels: Judith and TobitIDs: &quot;by the hand of a woman&quot;; Tobias Primary Readings: Judges 4; Judith (complete); Tobit (complete)1. The Book of Judith 1.1 Composition Two principle parts: 17 Before Judith's appearance 816 Judith 1.2 Date The Has
Acton School of Business - RELI - 122
Joshua and Conquest. The Bible and ViolenceIDs: Deuteronomistic History; Conquest-Infiltration/Immigration-Social Revolt/Peasant Revolt Primary Readings: Numbers 25; Joshua 112; 2324; Judges 12The Book of Joshua: The successor of Moses (Deut 31:1423; Jo
Acton School of Business - RELI - 122
Is Ruth a Matriarch?IDs: Levirate Marriage; Boaz Primary Readings: Genesis 38; Deuteronomy 25:510; Ruth (entire)1. Ruth's Place in the Biblical Canons In the Jewish Bible/the MT: following liturgical employment; in the Christian Bibles (LXX and Protesta
Acton School of Business - RELI - 122
The Joseph NovellaIDs: Novella; Story of the Two Brothers Primary Readings: Genesis 37501. The Joseph Novella in Its Contexts (three concentric circles) The Joseph Story in the ancient Near East - the Comparative Evidence: the Egyptian Story of Two Br
Acton School of Business - RELI - 122
In the Beginning .IDs: Documentary Hypothesis; creatio ex nihilo Primary Readings: Genesis 13; Psalm 104Genesis 13: One Creation Account or Two? Gen 2:4 &quot;These are the generations .&quot; - fixed expression/division marker in the book of Genesis? (see Gen 2:
Acton School of Business - RELI - 122
How the Bible Came to BeIDs: Massoretic Text/MT; Septuagint/LXX 1. What is a &quot;Canon&quot;? 1.1 Etymology 1.2 Three Aspects of &quot;Canon&quot; I. The reflexive judgment and the &quot;canonical process&quot;- `The Book of Jashar' in Josh 10:13; 2 Sam 1:18; `The Book of the Acts
Acton School of Business - RELI - 122
History of Religion: The Canaanite Connection!IDs: Ugarit; Baal Cycle Primary Readings: Exodus 1415; Judges 5; 1 Kings 181. Background: Chronology Late Bronze Age 1550-1200 BCE- ca. 1350 Amarna Period: ca. 380 letters sent by the Egyption vassal kingdom
Acton School of Business - RELI - 122
From Judges to Kings: The Introduction of the MonarchyIDs: Deborah; Jotham's Fable Primary Readings: Judges 39; 1721; 1 Samuel 12; 8; Deuteronomy 17:14 20; Hebrews 111. The Book of Judges Composition1 2:13:6&quot;Negative&quot; annals of the conquest Cyclic pro
Acton School of Business - RELI - 122
The Faithful and the Modern Reading of the BibleIDs: diachronic; synchronic THE BIBLE IN MODERN AND PREMODERN INTERPRETATIONA MODERNCRITICAL READING 1. Composition. The Bible-a fallible,heterogeneous and miscellaneous work-is an exceedingly diverse col
Acton School of Business - RELI - 122
The Exodus in Cultural MemoryID: Canaanite Myth vs Hebrew Epic; Mnemohistory1. The Historical Background. Is the exodus story a fictitious &quot;foundation myth,&quot; or does it have a historical kernel of truth to it? What do we know about Canaanite religion ri
Acton School of Business - RELI - 122
Esau and JacobIDs: Genealogy; Eponymous Ancestor; Patriachal Religion Primary Readings: Genesis 2536; 38; 491. The Esau/Jacob Cycle (Genesis 2536) Genesis 2528 The Loss of the Birthright and Jacob's Escape Genesis 2931 Jacob and Laban: Birth of Jacob's
Acton School of Business - RELI - 122
The Deuterocanonical Wisdom Books. Ben Sira/Ecclesiasticus and the Book of BaruchIDs: Theodicy; Baruch Primary Readings: Ben Sira 1; 15; 24; 33; 3839; 3345; 51; Baruch (complete)1. The Significance of the Apocrypha/Deuterocanonical Books The creation of
Acton School of Business - RELI - 122
David the Psalmist. The PsalmsIDs: David's Last Words; &quot;To David.&quot;; Form Criticism Primary Readings: 1 Samuel 16; 2 Samuel 2223; Psalms 1; 13; 22; 51; 58; 83; 1501. Four Dimensions of Prayer Speaking to God God speaks to us/Israel/the Church Being mindf