Isomorphisms Study guides, Class notes & Summaries
Looking for the best study guides, study notes and summaries about Isomorphisms? On this page you'll find 11 study documents about Isomorphisms.
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OCR 2023 GCE FURTHER MATHEMATICS A Y545/01: ADDITIONAL PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 37 pages • 2024
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OCR 
2023 
GCE 
FURTHER MATHEMATICS A 
Y545/01: ADDITIONAL PURE MATHEMATICS 
A LEVEL 
QUESTION PAPER & MARK SCHEME (MERGED) 
 
You must have: 
• the Printed Answer Booklet 
• the Formulae Booklet for A Level Further 
Mathematics A 
• a scientific or graphical calculator QP 
Oxford Cambridge and RSA 
Friday 23 June 2023 – Afternoon 
A Level Further Mathematics A 
Y545/01 Additional Pure Mathematics 
Time allowed: 1 hour 30 minutes 
INSTRUCTIONS 
• Use black ink. You can use an HB penc...
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OCR 2023 GCE FURTHER MATHEMATICS A Y545/01: ADDITIONAL PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 37 pages • 2024
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- $7.49
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OCR 
2023 
GCE 
FURTHER MATHEMATICS A 
Y545/01: ADDITIONAL PURE MATHEMATICS 
A LEVEL 
QUESTION PAPER & MARK SCHEME (MERGED) 
 
You must have: 
• the Printed Answer Booklet 
• the Formulae Booklet for A Level Further 
Mathematics A 
• a scientific or graphical calculator QP 
Oxford Cambridge and RSA 
Friday 23 June 2023 – Afternoon 
A Level Further Mathematics A 
Y545/01 Additional Pure Mathematics 
Time allowed: 1 hour 30 minutes 
INSTRUCTIONS 
• Use black ink. You can use an HB penc...
-
OCR 2023 GCE FURTHER MATHEMATICS A Y545/01: ADDITIONAL PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 37 pages • 2024
- Available in package deal
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- $6.49
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Friday 23 June 2023 – Afternoon 
A Level Further Mathematics A 
Y545/01 Additional Pure Mathematics 
Time allowed: 1 hour 30 minutes 
INSTRUCTIONS 
• Use black ink. You can use an HB pencil, but only for graphs and diagrams. 
• Write your answer to each question in the space provided in the Printed Answer 
Booklet. If you need extra space use the lined pages at the end of the Printed Answer 
Booklet. The question numbers must be clearly shown. 
• Fill in the boxes on the front of the P...
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OCR 2023 GCE FURTHER MATHEMATICS A Y545/01: ADDITIONAL PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED
- Exam (elaborations) • 37 pages • 2024
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- $8.49
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The surface S is defined for all real x and y by the equation z = x 
2 +2xy. The intersection of 
S with the plane P gives a section of the surface. On the axes provided in the Printed Answer 
Booklet, sketch this section when the equation of P is each of the following. 
(a) x = 1 [2] 
(b) y = 1 [2] 
2 A curve has equation y = 1+x 
2 
, for 0 G x G 1, where both the x- and y-units are in cm. The 
area of the surface generated when this curve is rotated fully about the x-axis is Acm2 
. 
1 
(a)...
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Fundamentals of Model Theory
- Exam (elaborations) • 64 pages • 2024
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Contents 
Chapter 0. Models, Truth and Satisfaction 4 
Formulas, Sentences, Theories and Axioms 4 
Prenex Normal Form 9 
Chapter 1. Notation and Examples 11 
Chapter 2. Compactness and Elementary Submodels 14 
The Compactness Theorem 14 
Isomorphisms, elementary equivalence and complete theories 15 
The Elementary Chain Theorem 16 
The Lowenheim-Skolem Theorem 19 
The Los-Vaught Test 20 
Every complex one-to-one polynomial map is onto 22 
Chapter 3. Diagrams and Embeddings 24 
Diagram Lemmas 2...
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Isomorphisms of vector spaces
- Other • 11 pages • 2022
- Available in package deal
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Exam (elaborations) TEST BANK FOR Elementary Linear Algebra with Applications 9th Edition By Kolman, Hill (Solution manual)
- Exam (elaborations) • 170 pages • 2021
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Exam (elaborations) TEST BANK FOR Elementary Linear Algebra with Applications 9th Edition By Kolman, Hill (Solution manual) 
Instructor’s Solutions Manual 
Elementary Linear 
Algebra with 
Applications 
Ninth Edition 
Bernard Kolman 
Drexel University 
David R. Hill 
Temple University 
Contents 
Preface iii 
1 Linear Equations and Matrices 1 
1.1 Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 
1.2 Matrices . . . . . . . . . . . . . . . ...
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Intro to Group Theory: Chapters 8-9 (Finite Permutations, Permutations of a Finite Set, Isomorphisms)
- Class notes • 13 pages • 2021
- Available in package deal
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Description: Lecture notes based on Charles C Pinter's A Book of Abstract Algebra, 2nd Edition. Notes are compiled based on lecture weeks (e.g. 1-10) rather than chapters, so some weeks will contain more than one topic. 
 
About me: I graduated from Portland State University with a B.S. in mathematics with triple honors: university, departmental, and latin honors. Detailed notes along with practice problems carried me through undergrad. I hope these notes help you!!
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TEST BANK FOR Elementary Linear Algebra with Applications 9th Edition By Kolman, Hill (Solution manual)
- Exam (elaborations) • 170 pages • 2022
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Exam (elaborations) TEST BANK FOR Elementary Linear Algebra with Applications 9th Edition By Kolman, Hill (Solution manual) 
Exam (elaborations) TEST BANK FOR Elementary Linear Algebra with Applications 9th Edition By Kolman, Hill (Solution manual) Instructor’s Solutions Manual Elementary Linear Algebra with Applications Ninth Edition Bernard Kolman Drexel University David R. Hill Temple University Contents Preface iii 1 Linear Equations and Matrices 1 1.1 Systems of Linear Equations . . . . ...
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Algebra, Linear Algebra, An Introduction to Linear algebra, Linear Vector Spaces, Matrices, Determinants, Invertible Matrices, Linear Systems, Linear Systems, Factorization, Linear Dependance and Independence, Bases and Dimension, Coordinates and Isomorph
- Other • 9 pages • 2022
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Algebra, Linear Algebra, An Introduction to Linear algebra, Linear Vector Spaces, Matrices, Determinants, Invertible Matrices, Linear Systems, Linear Systems, Factorization, Linear Dependance and Independence, Bases and Dimension, Coordinates and Isomorphisms, Rank of a Matrix, Linear Mappings, Matrix Representation, Inner Products and Orthogonality, Linear Functions, Eigenvalues and Eigenvectors, Normed Linear Spaces, Diagonalization, Singular Value Decomposition, Differential and Difference S...