- 2 Sets, Functions, Sequences, and Sums 1. A set is a collection of objects.
- MA3042: LINEAR ALGEBRA, Fall 2010 Instructor: Dr. Ralucca Gera
- 8 Equivalence Relations 8.1 Relations
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- CH 7: Techniques of Integration 7.4 Partial Fractions
- MA3042: LINEAR ALGEBRA, Fall 2011 Instructor: Dr. Ralucca Gera
- CH 3: Differentiation Rules 3.5 Implicit Differentiation
- 3 Ch 3: VECTOR SPACES 3.2 Subspaces
- 5 Ch 5: EXISTENCE AND PROOF BY CONTRADIC-5.1 Counterexamples
- 3 The fundamentals: Algorithms, the integers, and 3.4 The integers and division
- Ch 5: ORTHOGONALITY 5.4 Inner Product Spaces
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- MA1025 Solutions Exam # 1 Tue. Aug 5th, 2008 Name
- 5.1 The Basics of Counting 1. two basic principles of counting are the sum rule and the product rule. We present them
- 9.1 Graphs and Graph Models 1. a graph G = (V (G), E(G)) consists of a set V (G) of vertices, and a set E(G)
- CH 5: Integrals 5.1 Areas and distances
- Appendix D: Trigonometry This section reviews the basic trig.
- 1 The Foundations: Logic and Proofs 1.7 Proof Methods and Strategy
- CH3: DIRECT PROOF AND PROOF BY CONTRAPOSITIVE Lemma = is a mathematical result that is useful in verifying the truth of another result.
- Ch 5: ORTHOGONALITY 5.6 The Gram Schmidt Orthogonalization Process
- Review for series convergence and divergence. Types of series: geometric
- 1 The Foundations: Logic and Proofs 1.3 Predicates and Quantifiers
- Ch 5: ORTHOGONALITY 5.2 Orthogonal Subspaces
- Ch 7: Numerical Linear Algebra 7.5 Orthogonal Transformations
- 3 The fundamentals: Algorithms, the integers, and 3.6 Integers and algorithms
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- 1 Introduction to Counting 1.1 Introduction
- 7 Advanced Counting Techniques 7.1 Recurrence Relations
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- 3.8 Matrices 1. an m n matrix [aij] is a rectangular array of numbers, that has m rows and
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- 4 Ch 4: MORE ON DIRECT PROOF AND PROOF BY CONTRAPOSITIVE
- 2 Permutations, Combinations, and the Binomial 2.1 Introduction
- 1 Chapter 1: Matrices and Systems of Equations 1.1 Systems of Linear Equations
- 2 Chapter 2: Determinants 2.1 The Determinant of a Matrix
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- 4 Induction and Recursion 4.2 Strong Induction and Well-Ordering
- 7 Advanced Counting Techniques 7.1 Recurrence Relations
- 3.8 Matrices 1. an m n matrix [aij] is a rectangular array of numbers, that has m rows and
- 9.1 Graphs and Graph Models 1. a graph G = (V (G), E(G)) consists of a set V (G) of vertices, and a set E(G)
- 1 The Foundations: Logic and Proofs 1.1 Propositional Logic
- 1 The Foundations: Logic and Proofs 1.5 Rules of Inference
- 1 The Foundations: Logic and Proofs 1.6 Introduction to Proofs
- 2 Sets, Functions, Sequences, and Sums 2.2 Set Operations
- 2 Sets, Functions, Sequences, and Sums 2.3 Functions
- Appendix A1: Axioms for the Real Numbers and the Positive Integers 1. be able to use the laws for the reals: closure (stay within the same set), associative
- 3 The fundamentals: Algorithms, the integers, and 3.4 The integers and division
- 2 Sets, Functions, Sequences, and Sums 2.4 Sequences and Summations
- 4 Induction and Recursion 4.1 Mathematical induction (weak induction)
- 5.2 The Pigeonhole Principle 1. The Pigeonhole Principle says that if k+1 pigeons fly into k pigeonholes (or into at most
- 2 Sets, Functions, Sequences, and Sums 1. A set is a collection of objects.
- Thursday, October 11th Name:_____________________________________________ Dr. Ralucca Gera
- 4 Induction and Recursion 4.1 Mathematical induction (weak induction)
- 4 Advanced Counting Techniques 4.1 Mathematical induction (weak induction)
- 7 Advanced Counting Techniques 7.5 Inclusion-Exclusion
- 8 Relations 8.1 Relations and Their Properties
- CH3: VECTOR SPACES 3.3 Linear Independence
- CH3: VECTOR SPACES 3.5 Change of Basis
- MA3042 Exam # 1 Wed October 22, 2008 Name
- 5 Ch 5: ORTHOGONALITY 5.1 The Scalar Product in Rn
- Ch 5: ORTHOGONALITY 5.3 Least Squares Problems (LSP)
- Ch 5: ORTHOGONALITY 5.5 Orthonormal Sets
- Ch 6: Eigenvalues 6.3 Diagonalization
- Ch 6: Eigenvalues 6.4 Hermitian Matrices
- Ch 6: Eigenvalues 6.6 Quadratic Forms
- Ch 7: Numerical Linear Algebra 7.4 Matrix Norms and Condition Numbers
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- CH 2: Limits and Derivatives 2.1 The tangent and velocity problems
- CH 4: Applications of Differentiation 4.4 Indeterminate Forms and L'Hospital Rule
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- CH 11: Infinite Sequences and Series 11.3 The Integral Test and Estimates of Sums (and p-series)
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- CH 11: Infinite Sequences and Series 11.8 Power Series
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- Linear Algebra 1.1 Systems of Linear Equations
- 1 Chapter 1: Matrices and Systems of Equations 1.1 Systems of Linear Equations
- 1 Chapter 1: Matrices and Systems of Equations 1.3 Matrix Algebra
- MA1114 Exam # 4 September 30, 2009 Name
- MA3042 Review September 30, 2009 Name
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- MA2025 Exam #3 Mon. Feb 14th, 2011 Name
- Graph Theory and Applications 1 (Saturday, August 04, 2007; 8:30AM-10:30AM)
- ACCESSIBILITY ACCESSIBLE PARKING
- CH 4: Applications of Differentiation 4.1 Maximum and Minimum value
- Dominator Colorings and Safe Clique Partitions Ralucca Gera, Craig Rasmussen
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- CH 11: Infinite Sequences and Series 11.5 Alternating Series
- 1 The Foundations: Logic and Proofs 1.1 Propositional Logic
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- 1 Chapter 1: Matrices and Systems of Equations 1.4 Elementary Matrices
- CH 6: Applications of Integration 1. total amount of effort required to perform a task.
- 3 The fundamentals: Algorithms, the integers, and 3.5 Primes and greatest common divisors
- 8 Relations 8.1 Relations and Their Properties
- 5.1 The Basics of Counting 1. two basic principles of counting are the sum rule and the product rule. We present them
- MA3042 Review September 30, 2009 Name
- CH 3: Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions
- 1 Functions as models 1.1 Four ways to represent a function
- Triangular Line Graphs and Word Sense Disambiguation
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- 9 Ch 9: FUNCTIONS 9.1 The definition of a Function
- A Guide to Proof-Writing 437 A Guide to Proof-Writing
- Appendix B: Coordinate Geometry and Lines In this section we review the Cartesian coordinate system: slope, distance between points,
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- CH 4: Applications of Differentiation 4.7 Optimization Problems
- 6 Induction and Recursion 6.1 Mathematical induction (weak induction)
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- Instructor: Ralucca Gera Review for series convergence and divergence. Types of series: geometric (p715), telescoping (p 717), harmonic (p 717), p-series (p725),
- 5.3 Permutations and Combinations 1. recall: for integers n 0, the factorial f(n) = n! is defined by
- 3 The fundamentals: Algorithms, the integers, and 3.4 The integers and division
- MA3042 Exam # 2 October 21, 2010 Name
- CH3: VECTOR SPACES 3.4 Basis and Dimension
- 1 Chapter 1: SETS A set is a collection of objects.
- The Independence Number for the Generalized Petersen Graphs
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- MCCC registration form (College of Charleston) 66 George Street
- CH3: VECTOR SPACES 3.6 Row Space and Column Space
- CH4: LINEAR TRANSFORMATIONS 4.2 Matrix Representations of Linear Transformations
- CH 11: Infinite Sequences and Series 11.1 Sequences
- Ch 6: Eigenvalues 6.7 Positive Definite Matrices
- 1 The Foundations: Logic and Proofs 1.4 Nested Quantifiers
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- CH4: LINEAR TRANSFORMATIONS 4.1 Definitions and Examples
- 5.1 The Basics of Counting 1. product rule (used when a procedure is made up of a sequence of separate tasks)
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- 2 Ch 2: LOGIC 2.1 Statements
- Ch 6: Eigenvalues 6.5 Singular Value Decomposition (SVD)
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- 2 Sets, Functions, Sequences, and Sums 2.4 Sequences and Summations
- MA3025 Exam # 2 December 9, 2011 Name
- MA 3025 Sample Exam #2 November 10, 2011 Name
- 4.2 Strong Induction and Well Ordering 1. This is a different version than the one in the book, which I hope it helps more
- 4.3 Recursive Definitions and Structural Induction. (up to (not including) Generalized Induction)
- MA 1113: Single Variable Calculus I Winter 2012
- CH 4: Applications of Differentiation 4.1 Maximum and Minimum value
- CH 5: Integrals 5.1 Areas and distances
- 1 Chapter 1: Matrices and Systems of Equations 1.1 Systems of Linear Equations
- A Chromatic Symmetric Function Conjecture
- CH 4: Applications of Differentiation 4.7 Optimization Problems
- MA1113 Derivatives Review Instructor: Ralucca Gera
- Appendix D: Trigonometry This section reviews the basic trig.
- The Two Conjectures The Murty/Simon Conjecture
- CH 3: Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions
- MA1113 Exam # 3 January 27, 2012 Name
- MA1113 Exam # 2 January 24, 2012 Name
- AMS/MAA Annual Meeting, Boston, MA, January 7, 2012 Diagram Coloring,
- CH 2: Limits and Derivatives 2.1 The tangent and velocity problems
- The Many Faces of the Matthews-Sumner Emory University
- 2 Chapter 2: Determinants 2.1 The Determinant of a Matrix
- CH 4: Applications of Differentiation 4.4 Indeterminate Forms and L'Hospital Rule
- MA 1113 --SINGLE VARIABLE CALCULUS I (4-0) Upon completion of this course, the student should be able to do the following
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- MA 1114 --SINGLE VARIABLE CALCULUS II WITH MATRIX ALGEBRA (4-0)
- 1 Functions as models 1.1 Four ways to represent a function
- CH 3: Differentiation Rules 3.5 Implicit Differentiation
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- MA1113 Exam # 1 January 13, 2012 Name
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- Instructor: Ralucca Gera Review for series convergence and divergence. Types of series: geometric (p715), telescoping (p 717), harmonic (p 717), p-series (p725),
- Stephen Hedetniemi, Professor Emeritus, School of Computing