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Math 105 |
|
| Title: | Exploring Mathematics |
| Prerequisites: | Math 101 or 103 or satisfactory math placement score. |
| Comments: | [N] |
| Text: | Mathematics Beyond the Numbers, by G.T. Gilbert and R.L. Hatcher, Published by Wiley & Sons. |
| Text Sections Covered: | Chapter 1. Problem Solving and Critical Thinking; 1.1 Inductive and Deductive Reasoning; 1.2 Estimation and Graphs; 1.3 Problem Solving; Chapter 5. Number Theory and the Real Number System; 5.2 The Integers; Order of Operations; 5.3 The Rational Numbers; 5.4 The Irrational Numbers; 5.5 Real Numbers and Their Properties; 5.6 Exponents and Scientific Notation; 6.2 Solving Linear Equations; 7.4 Exponentinal Functions; Chapter 8. Consumer Mathematics and Financial Management; 8.1 Percent; 8.2 Simple Interest; 8.3 Compound Interest; 8.4 Installment Buying; 8.5 The Cost of Home Ownership; 8.6 Investing in Stocks, Bonds, and Mutual Funds; Chapter 11. Counting Methods and Probability Theory; 11.1 The Fundamental Counting Principle; 11.2 Permutations; 11.3 Combinations; 11.4 Fundamentals of Probability; 11.5 Fuhndamental Counting Principle, Permutations, and Combinations; 11.6 Events Involving "Not" and "Or"; Odds; 11.7 Events Involving "And"; Conditional Probability; 11.8 Expected Value; Chapter 12. Statistics. 12.1 Sampling, Frequency Distributions, and Graphs; 12.2 Measures of Central Tendency; 12.3 Measures of Dispersion; 12.4 The Normal Distribution; 12.5 Scatter Plots, Correlation, and Regression Lines. |
| Comments: | Beginning Fall 2008, Math 210 has been changed to Math 105. |
| Topics: | Intergers, Rational Numbers, Irrational Numbers, and Real Numbers Linear Equations Fundamental Counting Principle, Permutaions, and Combinations Fundamentals of Probability, Conditional Probability Frequency Distributions, Normal Distribution Measures of Central Tendency, Measures of Dispersion Correlation and Regression |
| Submitted by: | Kris Johnson |
| Date Submitted: | 6/16/08 |
Math 107 |
|
| Title: | Elementary Functions |
| Prerequisites: | Satisfactory math placement score, transfer credit, SAT, ACT score. |
| Comments: | Real Numbers, Exponents, Radicals, Algebraic Expressions (and factoring), Rational, Expressions, Solving Equations Algebraically, Modeling with Equations, Inequalities, Coordinate Geometry, Solving Equations Graphically, Solving Inequalities Graphically, Lines. |
| Text: | PreCalculus, by Stewart, Redlin, and Watson, 5th edition CUSTOM EDITION |
| Text Sections Covered: | 1.10 lines; 1.11 modeling variation; 2.1 what is a function? - 2.8 one-to-one functions and their inverses; 3.1 polynomial functions and their graphs - 3.6 rational functions; 4.1 exponential functions - 4.5 modeling with exponential and logarithmic functions; 5.1 the unit circle - 5.4 more trigonometric graphs; 6.1 angle measure - 6.3 trigonometric functions of angles; 7.1 trigonometric identities - 7.5 trigonometric equations. |
| Comments: | Topics include general rules of function, analyzing graphs of functions, variations, ave rate of change: increasing and decreasing functions, transformations of functions, combinations of function (algebraic & compoistions), piecewise functions. The type |
| Topics: | The Fundamental Theorem of Algebra, rational functions and their graphs, exponential and logarithmic functions and their graphs, properties of logs, solving exponential & logarithmic equations, exponential & logarithmic models, the unit circle, angle meas |
| Submitted by: | Christy Jacobs |
| Date Submitted: | 5/12/08 |
Math 110 |
|
| Title: | Mathematics Tutorial |
| Prerequisites: | Must be currently enrolled in 107. |
| Comments: | Support course for Math 107. |
| Text: | - |
| Text Sections Covered: | - |
| Comments: | - |
| Topics: | Math 110 emphasizes foundational skills considered prerequisite to Math 201, specifically basic algebra skills. This supplementary course is activity based and geared toward addressing the specific needs of the students enrolled in the course. Content in this course is aligned with specific content of Math 107 attempts to address the algebra skills needed to do problems in those content areas. |
| Submitted by: | Claudia M. Pacioni |
| Date Submitted: | 5/12/08 |
Math 111 |
|
| Title: | Mathematics Tutorial |
| Prerequisites: | Must be currently enrolled in Math 201 |
| Comments: | Support course for Math 201. |
| Text: | - |
| Text Sections Covered: | - |
| Comments: | - |
| Topics: | Content in this course is aligned with specific content of Math 201. Specifically, students will focus on correctly and efficiently performing algebraic manipulations on a variety of function types including, but not limited to, linear, quadratic, exponential, and logarithmic. |
| Submitted by: | Christy Jacobs |
| Date Submitted: | 6/18/07 |
Math 140 |
|
| Title: | Mathematics for Life Science |
| Prerequisites: | Math 107 or Satisfactory math placement score, transfer credit, SAT, ACT score. |
| Comments: | Credit not normally granted for more than one of Math 140, 171, 202, 206. |
| Text: | Calculus for Business, Economics, Life Sciences and Social Sciences; 11th Edition by Barnett, Ziegler & Byleen. Published by Prentice Hall |
| Text Sections Covered: | Chapter 1 & 2 as needed for review; Chapter 3 Limits and Derivatives; Chapter 4 Additional Derivative Topics; Chapter 5 Graphing and Optimization; Chapter 6 Integration; Chapter 7 Additional Integration Topics sections (1-3) |
| Comments: | Introduction to Dynamical Systems Limits and Derivatives Applications of Derivatives Differential Equations, Integrals Applications Multivariable Calculus |
| Topics: | Review of relevant precalculus material as well as differential calculus, integral calculus, and multi variable calculus with relevant life science applictions if time permits. Cover parts or all of chapters three through nine. |
| Submitted by: | Kimberly Vincent |
| Date Submitted: | 5/12/08 |
Math 171 |
|
| Title: | Calculus 1 |
| Prerequisites: | Math 107 or satisfactory math placement score transfer credit, SAT, ACT score |
| Comments: | Credit not normally granted for more than one of Math 140, 171, 202, 206. |
| Text: | Essential Calculus - Early Transcendentals, by James Stewart, ISBN 0-495-01428-1 |
| Text Sections Covered: | Sections selected from Chapters 1 through 5. Chapter 1. Functions and Models. Chapter 2. Limits and Derivatives. Chapter 3. Differentiation Rules. Chapter 4. Applications of Differentiation. Chapter 5. Integrals. |
| Comments: | - |
| Topics: | Limits and derivatives Continuity Differntiation rules Applications of derivatives An introduction to definite and indefinite integrals, including the Fundemental Theorem of Calculus. |
| Submitted by: | Sergey Lapin & Eric Remaley |
| Date Submitted: | 5/12/08 |
Math 172 |
|
| Title: | Calculus II |
| Prerequisites: | Math 171 |
| Comments: | - |
| Text: | Essentials Calculus (Early Transcendentals), 1st Edition by Stewart; Published by Brooks & Cole |
| Text Sections Covered: | - |
| Comments: | - |
| Topics: | Techniques and applications of integration, Infinite sequences and series, parametric equations, Polar coordinates, Three-dimensional vectors and the geometry of space |
| Submitted by: | Matthew Hudelson & Mark Schumaker |
| Date Submitted: | 5/12/08 |
Math 182 |
|
| Title: | Honors Calculus II |
| Prerequisites: | Math 171 or permission from the instructor |
| Comments: | - |
| Text: | Essentials Calculus/Early Transcendentals, 1st Edition by Stewart; Published by Brooks & Cole |
| Text Sections Covered: | Chapters 6-12: Chapter 6. Applications of Integration; Chapter 7. Techniques of Integration; Chapter 8. Further Applications of Integration; Chapter 9. Differential Equations; Chapter 10. Parametric Equations and Polar Coordinates; Chapter 11. Infinite Sequences and Series; Chapter 12. Vectors and the Geometriy of Space. |
| Comments: | - |
| Topics: | Applications and techniques of integration, introduction to differential equations, parametric equations and polar coordinates, infinite series and sequences, vectors and the geometry of space. |
| Submitted by: | William Webb |
| Date Submitted: | 7/5/07 |
Math 201 |
|
| Title: | Introduction to Mathematics Analysis for Business and Economics |
| Prerequisites: | Math 101 or 103 or satisfactory math placement score. |
| Comments: | - |
| Text: | Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, (custom) 12th Edition by E. Hauessler, R. Paul & R. Wood; Published by Pearson/Prentice Hall |
| Text Sections Covered: | 0.7 Linear Equations; 0.8 Quadratic Equations; 1.1 Applications of Equations; 1.2 Linear Inequalities; 1.3 Applications of Inequalities; 1.4 Absolute Value; 2.1 Functions; 2.2 Special Functions; 2.3 Combinations of Functions; 2.4 Inverse Functions; 2.5 Graphs in Rectangular Coordinates; 2.6 Symmetry; 2.7 Translation & Reflection; 3.1 Lines; 3.2 Applications and Linear Functions; 3.3 Quadratic Functions ; 3.4 Systems of Linear Equations; 3.5 Nonlinear Systems; 3.6 Applications of Systems of Equations; 4.1 Exponential Functions; 4.2 Logarithmic Functions; 4.3 Properties of Logarithms; 4.4 Logarithmic and Exponential Equations; 6.1 Matrices; 6.2 Matrix Addition and Scalar Multiplication; 6.3 Matrix Multiplication; 6.4 and 6.5 Solving Systems by Reducing Matrices; 6.6 Inverses; 7.1 Linear Inequalities in Two Variables; 7.2 Linear Programming; 7.4 The Simplex Method; 8.1 Basic Counting Principle and Permutations; 8.2 Combinations and Other Counting Principles; 8.3 Sample Spaces & Events; 8.4 Probability |
| Comments: | - |
| Topics: | Recongnition and solution of linear, fractional, radical, quadratic equations; solution of linear and absolute-value inequalities; definition of a function; recognition and graphing of linear and quadratic functions;recognition and solution of non-linear systems of equations using substitution; matrix algebra; recognition and solution of linear systems of equations using elimination, matrix reduction, matrix inversion; solution of linear programming problems by graphing (using the corner-point principle) and by using the Simplex method; permutations, combinations, and other basic counting principles. |
| Submitted by: | Carolyn Smith |
| Date Submitted: | 5/12/08 |
Math 202 |
|
| Title: | Intro to Math Analysis |
| Prerequisites: | Math 107, 201 or satisfactory math placement score. |
| Comments: | Credit not normally granted for more than one of Math 140, 171, 202, 206. |
| Text: | Introductory Mathematical Analysis, 12th Edition by E. Haeussler, R. Paul & R. Wood; Published by Pearson/Prentice Hall |
| Text Sections Covered: | 10.1-10.2 Limits; 10.3 Interest Compounded Continuously; 10.4 Continuity; 10.5 Continuity Applied to Inequalities; 11.1 The Derivative; 11.2 Rules for Differentiation; 11.3 The Derivative as a Rate of Change; 11.4 Differentiability and Continuity; 11.5 Product and Quotient Rules; 11.6 The Chain Rule and the Power Rule; 12.1 Derivatives of Logarithmic Functions; 12.2 Derivatives of Exponential Functions; 12.3 Elasticity of Demand; 12.4 Implicit Differentiation; 12.5 Logarithmic Differentiation; 12.7 Higher-Order Derivatives; 13.1 Relative Extrema; 13.2 Absolute Extrema on a Closed Interval; 13.3 Concavity; 13.4 The Second-Derivative Test; 13.5 Asymptoes; 13.6 Applied Maxima and Minima; 14.1 Differentials; 14.2 The Indefinite Integral; 14.3 Integration with Initial Conditions; 14.4 More Integration Formulas; 14.5 Techniques of Integration; 14.6 Summmation; 14.7 The Definite Integral; 14.8 The Fundamental Theorem of Integral Calculus; 14.10 Area; 14.11 Area between curves; 14.12 Consumers' and Producers' Surplus; 17.1 Functions of several variables; 17.2 Partial Derivatives; 17.5 Higher-Order Partial Derivatives. |
| Comments: | - |
| Topics: | Limits and continuity Differentiation rules and rate of change Derivative of exponential and logarithmic functions, implicit differentiation, derivatives of higher order Derivative applied to curve sketching Application of derivatives to maxim |
| Submitted by: | Carolyn Smith |
| Date Submitted: | 10/19/07 |
Math 205 |
|
| Title: | Statistical Thinking |
| Prerequisites: | Math 103 or satisfactory math placement score |
| Comments: | - |
| Text: | Statistical Reasoning for Everyday Life; 2nd Ed. by J. Bennet, W. Briggs and M. Triloa; Published by Addison Wesley |
| Text Sections Covered: | Chapter 1. Speaking of Statistics; Chapter 2. Measurement in Statistics; Chapter 3. Visual Displays of Data; Chapter 4. Describing Data; Chapter 5. A Normal World; Chapter 6. Probablity in Statistics; Chapter 7. Correlation and Causality; Chapter 8. From Samples to Popluations; Chapter 9. Hypothesis Testing; Chapter 10. Further Applications of Statistics. |
| Comments: | - |
| Topics: | What is/are statistics, sampling, types of statistical study, data types, errors, uses of percentages in statistical, frequency tables, graphs, averages, properties of the Normal Distribution, basics of probability, probabilities with large numbers, combi |
| Submitted by: | V. Krishna Jandhyala |
| Date Submitted: | 5/12/08 |
Math 206 |
|
| Title: | Mathematical Analysis for Architects |
| Prerequisites: | Math 107 w/grade C or better |
| Comments: | -- |
| Text: | Brief Calculus & Its Applications, 11th Edition by Goldstein, Lay, Asmar & Schneider. Published by Prentice Hall |
| Text Sections Covered: | -- |
| Comments: | Taught by Statistics Department |
| Topics: | -- |
| Submitted by: | Catalog |
| Date Submitted: | -- |
Math 210 |
|
| Title: | Introduction to Mathematics |
| Prerequisites: | Math 101 or 103 or satisfactory math placement score. |
| Comments: | See Comments below...Math 105 replaces Math 210 as of Fall 2008. |
| Text: | Mathematics Beyond the Numbers, by G.T. Gilbert and R.L. Hatcher, Published by Wiley & Sons. |
| Text Sections Covered: | -Chapter 1. Problem Solving and Critical Thinking; 1.1 Inductive and Deductive Reasoning; 1.2 Estimation and Graphs; 1.3 Problem Solving; Chapter 5. Number Theory and the Real Number System; 5.2 The Integers; Order of Operations; 5.3 The Rational Numbers; 5.4 The Irrational Numbers; 5.5 Real Numbers and Their Properties; 5.6 Exponents and Scientific Notation; 6.2 Solving Linear Equations; 7.4 Exponentinal Functions; Chapter 8. Consumer Mathematics and Financial Management; 8.1 Percent; 8.2 Simple Interest; 8.3 Compound Interest; 8.4 Installment Buying; 8.5 The Cost of Home Ownership; 8.6 Investing in Stocks, Bonds, and Mutual Funds; Chapter 11. Counting Methods and Probability Theory; 11.1 The Fundamental Counting Principle; 11.2 Permutations; 11.3 Combinations; 11.4 Fundamentals of Probability; 11.5 Fuhndamental Counting Principle, Permutations, and Combinations; 11.6 Events Involving "Not" and "Or"; Odds; 11.7 Events Involving "And"; Conditional Probability; 11.8 Expected Value; Chapter 12. Statistics. 12.1 Sampling, Frequency Distributions, and Graphs; 12.2 Measures of Central Tendency; 12.3 Measures of Dispersion; 12.4 The Normal Distribution; 12.5 Scatter Plots, Correlation, and Regression Lines. |
| Comments: | Beginning Fall 2008, Math 210 has been changed to Math 105. |
| Topics: | -Intergers, Rational Numbers, Irrational Numbers, and Real Numbers Linear Equations Fundamental Counting Principle, Permutaions, and Combinations Fundamentals of Probability, Conditional Probability Frequency Distributions, Normal Distribution Measures of Central Tendency, Measures of Dispersion Correlation and Regression |
| Submitted by: | Claudia M. Pacioni |
| Date Submitted: | 5/12/08 |
Math 212 |
|
| Title: | Introduction to Statistical Methods |
| Prerequisites: | Math 99 or placement test score |
| Comments: | - |
| Text: | Statistics, The Art & Science of Learning from Data; by Agresti & Franklin, Published by Pearson/Prentice Hall. Statistics, The Exploration & Analysis of Data(w/CD-Rom, Info Trac & Internet Companion); 5th Ed. by Devore & Peck; Published by Thompson/Duxbury |
| Text Sections Covered: | - |
| Comments: | Taught by Statistics Department. |
| Topics: | - |
| Submitted by: | Catalog |
| Date Submitted: | - |
Math 216 |
|
| Title: | Discrete Structures |
| Prerequisites: | Math 107, Phil 201 and a programming course. |
| Comments: | - |
| Text: | Discrete Mathematics with Applications, 3rd Edition by Susanna S. Epp; Published by Brooks & Cole |
| Text Sections Covered: | -Chapter 1. The Logic of Compound Statements; 1.1 Logical Form and Logical Equivalence; 1.2 Conditional Statements; 1.3 Valid and Invalid Arguments; 1.4 Application: Digital Logic Circuits; 1.5 Application: Number Systems and Circuits for Addition; Chapter 2. The Logic of Quantified Statements; 2.1 and 2.2 Introduction to Predicates and Quantified Statements; 2.3 Statements Containing Multiple Quqntifiers; 2.4 Arguments with Quantified Statements; Chapter 3. Elementary Number Theory and Methods of Proof; 3.1 Direct Proof and Counterexample I: Introduction; 3.2 Direct Proof and Counterexample II: Rational Numbers; 3.3 Direct Proof and Counterexample III: Divisibililty; 3.4 Direct Proof and Counterexample IV: Division into Cases and the Quotient-Remaninder Theorem; 3.5 Direct Proof and Counterexample V: Floor and Ceiling; 3.6 Indirect Argument: Contradiction and Contraposition; 3.7 Two Classical Theorems; 3.8 Application: Algorithms; Chapter 4. Sequences and Mathematical Induction; 4.1 Sequences; 4.2 Mathematical Induction I; 4.3 Mathematical Induction II; Chapter 5. Set Theory; 5.1 Basic Definitions of Set Theory; 5.4 Russell's Paradox and the Halting Problem; Chapter 6. Counting and Probability 6.1 Introduction; 6.2 Possibility Trees and the Multiplication Rule; 6.3 Counting Elements of Disjoint Sets: The Addition Rule; 6.4 Counting Subsets of a Set: Combinations; 6.5 r-Combinations with Repetition Allowed; 6.6 The Algebra of Combinations; 6.7 The Binomial Theorem; 6.8 Probability Axioms and Expected Value; 6.9 Conditional Probability, Bayes' Formula, and Independent Events; Chapter 11 Graphs and Trees; 11.1 Graphs: An Introduction; 11.2 Paths and Circuits; 11.3 Matrix Representations of Graphs; 11.5 Trees; 11.6 Spanning Trees. |
| Comments: | - |
| Topics: | Compound Statements, Direct Proofs, Proofs by Contradiction, Counterexamples, Indirect Arguments, Theorems, Algorithms, Mathematical Induction, Set Theory, Counting and Probability, Combinations, Binomial Theorem, Graph Theory; Discrete mathematics, trees, graphs, elementary logic, and combinatorics with application to computer science. |
| Submitted by: | David Allen |
| Date Submitted: | 5/12/08 |
Math 220 |
|
| Title: | Introductory Linear Algebra |
| Prerequisites: | Math 171 or c//. |
| Comments: | Credit will not be granted for both Math 220 and 230. This course is offered every semester, including summer. |
| Text: | Linear Algebra and Its Applications by D. Lay, 3rd Edition (updated); Published by Pearson/Addison Wesley |
| Text Sections Covered: | Chapter 1. Linear Equations in Linear Algebra; 1.1 Systems of Linear Equations; 1.2 Row Reduction and Echelon Forms; 1.3 Vector Equations; 1.4 The Matrix Equation Ax = b; 1.5 Solution Sets of Linear Systems; 1.7 Linear Independence; 1.8 Introduction to Linear Transformation; 1.9 The Matrix of a Linear Transformation; 1.10 Linear Models in Business, Science, and Engineering; Supplementary Exercises. Chapter 2. Matrix Algebra; 2.1 Matrix Operations; 2.2 The Inverse of a Matrix; 2.3 Characterizations of Invertable Matrices; 2.8 4.1-4.3 Subspaces of R^n; 2.9 4.5-4.6 Dimension and Rank; Chapter 3. Determinants; 3.1 Introduction to Determinants; 3.2 Properties of Determinants; Chapter 4. 4.9 Applications to Markov Chains; Chapter 5. Eigenvalues and Eigenvectors; 5.1 Eigenvectors and Eigenvalues; 5.2 The Characteristic Equation; 5.6 Discrete Dynamical Systems; Chapter 6. Orthogonality and Least Squares; 6.1 Inner Product, Length, and Orthogonality; 6.2 Orthogonal Sets; 6.4 The Gram-Schmidt Process. |
| Comments: | - |
| Topics: | Linear equations, Matrix algebra, Determinants, Eigenvalues, Vector spaces, Orthogonality and least squares |
| Submitted by: | Jeanette Martin |
| Date Submitted: | 5/12/08 |
Math 230 |
|
| Title: | Honors Introductory Linear Algebra |
| Prerequisites: | Math 171 or c//. |
| Comments: | Credit will not be granted for both Math 220 and 230. This course is only offered in the Spring semester. |
| Text: | Linear Algebra and Its Applications/Update, 3rd Edition by D. Lay; Published by Pearson/Addison Wesley |
| Text Sections Covered: | Chapter 1. Linear Equations in Linear Algebra; 1.1 Systems of Linear Equations; 1.2 Row Reduction and Echelon Forms; 1.3 Vector Equations; 1.4 The Matrix Equation Ax = b; 1.5 Solution Sets of Linear Systems; 1.6 Appliecations of Linear Systems; 1.7 Linear Independence; 1.8 Introduction to Linear Transformation; 1.9 The Matrix of a Linear Transformation; 1.10 Linear Models in Business, Science, and Engineering Supplementary Exercises. Chapter 2. Matrix Algebra; 2.1 Matrix Operations; 2.2 The Inverse of a Matrix; 2.3 Characterizations of Invertable Matrices; Chapter 3. Determinants; 3.1 Introduction to Determinants; 3.2 Properties of Determinants; 3.3 Cramer's Rule, Volume, and Linear Transformations; Chapter 4. Vector Spaces; 4.1 Vector Spaces and Subspaces; 4.2 Null Spaces, Column Spaces, and Linear Transformation; 4.3 Linearly Independent Sets; Bases; 4.4 Coordinate Systems; 4.5 The Dimension of a Vector Space; 4.6 Rank; Chapter 5. Eigenvalues and Eigenvectors; 5.1 Eigenvectors and Eigenvalues; 5.2 The Characteristic Equation; 5.3 Diagonalization; Chapter 6. Orthogonality and Least Squares; 6.1 Inner Product, Length, and Orthogonality; 6.2 Orthogonal Sets; 6.3 Orthogonal Projections; 6.4 The Gram-Schmidt Process. |
| Comments: | - |
| Topics: | Linear equations, Matrix algebra, Determinants, Eigenvalues, Vector spaces, Orthogonality |
| Submitted by: | Judi McDonald |
| Date Submitted: | 01/04/08 |
Math 251 |
|
| Title: | Math for Elementary School Teachers I |
| Prerequisites: | Satisfactory math placement score (21 or better on the Intermediate Exam, or 13 or beeter on the Advanced Exam) or having passed Math 103, 107 or a higher level Math course. |
| Comments: | - |
| Text: | Mathematical Reasoning for Elementary Teachers w/Geometer's Sketchpad, 4th Edition by C. Long & D.DeTemple; Published by Addison Wesley |
| Text Sections Covered: | 1.1 An Introduction to Problem Solving; 1.2 Polya's Problem-Solving Principles; 1.3 More Problem-Solving Strategies; 1.5 Reasoning Mathematically; 2.1 Sets and Operations on Sets; 2.2 Sets, Counting, and the Whole Numbers; 2.3 Addition and Subtraction of Whole Numbers; 2.4 Multiplication and Division of Whole Numbers; 3.1 Numeration Systems Past and Present; 3.2 Nondecimal Positional Systems; 3.3 Algorithms for Adding and Subtracting Whole Numbers; 3.4 Algorithms for Multiplication and Division of Whole Numbers; 3.5 Mental Arithmetic and Estimation; 4.1 Divisibility of Natural Numbers; 4.2 Tests for Divisibility; 4.3 Greatest Common Divisors and Least Common Multiples; 5.1 Representation of Integers; 5.2 Addition and Subtraction of Integers; 5.3 Multiplication and Division of Integers; 6.1 The Basic Concepts of Fractions and Rational Numbers; 6.2 The Arithmetic of Rational Numbers; 6.3 The Rational Number System; 7.1 Decimals; 7.2 Computations with Decimals; 7.3 Ratio and Proportion; 7.4 Percent. |
| Comments: | - |
| Topics: | Logical and historical development of present-day number systems and associated algorithms, methods of problem solving. an introduction to problem solving, Polya's 4 Problem-Solving Principles, problem-solving strategies, sets and operations on sets, counting, and the whole numbers, addition and subtraction of whole numbers, multiplication and division of whole numbers, nondecimal positional systems, algorithms for adding and subtracting whole numbers, algorithms for multiplication and division of whole numbers, mental arithmetic and estimation, divisibility of natural numbers, tests for divisibility, greatest common divisors and least common multiples, representation of integers, addition and subtriction on integers, multiplication and division of integers, basic concepts of fractions and rational numbers, the arithmetic of rational numbers, the rational numbers system, decimals, computations with decimals, ratio and proportion, percent. |
| Submitted by: | Jeanette Martin |
| Date Submitted: | 5/14/08 |
Math 252 |
|
| Title: | Math for Elementary School Teachers II |
| Prerequisites: | One year high school geometry, C or better in Math 251. |
| Comments: | - |
| Text: | Mathematical Reasoning for Elementary Teachers w/Geometer's Sketchpad, 4th Edition by C. Long & D.DeTemple; Published by Addison Wesley |
| Text Sections Covered: | -9.1 The Graphical Representation of Data; 9.2 Measures of Central Tendency and Variability; 9.3 Statistical Inference; 10.1 Empirical Probability; 10.2 Principles of Counting; 10.3 Theoretical Probability; 11.1 Figures in the Plane; 11.2 Curves and Polygons in the Plane; 11.3 Figures in Space; 12.1 The Measurement Process; 12.2 Area and Perimeter; 12.3 The Pythagorean Theorem; 12.4 Surface Area and Volume; 13.1 Rigid Motion and Similarity Transformation; 13.2 Pattern and Symmetries; 13.3 Tiling and Escher-like Designs; 14.1 Congruent Triangles; 14.2 Constructing Geometric Figures; 14.3 Similar Triangle. |
| Comments: | - |
| Topics: | Informal approach to basic ideas; mensurement, geometrical constructions, similarity, congruence, symmetry, probability, counting principles, measures of central tendency, graphical representation. |
| Submitted by: | Kim Vincent |
| Date Submitted: | 7/6/07 |
Math 273 |
|
| Title: | Calculus III |
| Prerequisites: | Math 172, 220 or c//. |
| Comments: | Calculus of functions of several variables. |
| Text: | Essential Calculus (Early Transcendentals), by J. Stewart; Published by Brooks & Cole |
| Text Sections Covered: | We will cover chapters 10.6-13.9. |
| Comments: | - |
| Topics: | Vector functions and vector curves, curvature, motion in space, functions of several variables, limits and continuity, partial derivatives, tangent planes, directional derivatives, maximum and minimum values, Lagrange multipliers, double and triple integrals, chnage of variables in such integrals, line integrals, Green's Theorem, parametric surfaces, surface areas, Stokes' and Divergence Theorem. |
| Submitted by: | Alex Khapalov |
| Date Submitted: | 12/21/07 |
Math 283 |
|
| Title: | Honors Calculus III |
| Prerequisites: | Math 172 or 182 and instructor's consent |
| Comments: | This is the honors version of Math 273 |
| Text: | Essential Calculus - Early Transcendentals, by James Stewart; Published by Brooks & Cole |
| Text Sections Covered: | We will cover sections 10.6 - 13.9 |
| Comments: | Double integrals over rectangles, general regions, polar coordinates, applications of double integrals, surface area, triple integrals in Cylindrical and Spherical coordinates, change of variables in Multi Integrals, Vector calculus, fields, line Integral |
| Topics: | vector functions, motion in space, curvature, functions of sevral variables, partial derivatives, directional derivatives, tangent planes, applications to maximum and minimum values, Lagrange multipliers, multiple integrals, change of variables, cylindrical and spherical coordinates, line and surface integrals, parametric surfaces, Green's Theorem, Stokes' Theorem and the Divergence Theorem. |
| Submitted by: | William Webb |
| Date Submitted: | 5/14/08 |
MATH 300 |
|
| Title: | Mathematical Computing |
| Prerequisites: | Math 220 |
| Comments: | Examinations of some current computer software for solving mathematical problems. |
| Text: | Materials from Internet and tutorial books for software packages. |
| Text Sections Covered: | ---- |
| Comments: | All of these will be presented within a framework of analysis of an approximation problem. |
| Topics: | The Internet and local networks Mathematical Analysis tools Mathematical Typesetting tools Unix and Windows operating systems |
| Submitted by: | KEVIN COOPER |
| Date Submitted: | 6/26/07 |
MATH 301 |
|
| Title: | Introduction to Mathematical Reasoning |
| Prerequisites: | Math 140 or 171 |
| Comments: | This course is only offered in the Spring semester. |
| Text: | Mathematical Reasoning, Writing, & Proof, 2nd Ed. by Ted Sundstrom; Published by Pearson/Prentice Hall |
| Text Sections Covered: | Most sections of Part I- Foundations of Logic and Proof Writing, selected sections from Part II- Basic Principals of Analysis and selected sections from Part III- Basic Principles of Algebra. |
| Comments: | Intro to Logic, If-Then Statements, Universal & Existential Quantifiers, Negations of Statements, Proofs Involving Set, Indexed Families of Sets, Algebraic and Ordering Properties of R, The Principal of Mathematical Induction, Equivalence Relations: The i |
| Topics: | Logic, sets, direct and indirect proof, proof writing, mathematical induction, counterexamples, functions and relations, topics in number theory and set theory, problem solving |
| Submitted by: | Duane DeTemple |
| Date Submitted: | 5/14/08 |
Math 302 |
|
| Title: | Theory of Numbers |
| Prerequisites: | Math 172, 220 |
| Comments: | Divisibility properties of integers; congruences; Diophantine equations; quadratic residues. |
| Text: | Elementary Introduction to Number Theory, 3rd Edition by Long; Published by Waveland Press |
| Text Sections Covered: | - |
| Comments: | - |
| Topics: | Primes Divisibility Properties of the Integers Approximations |
| Submitted by: | General Catalog 2006-2007 |
| Date Submitted: | 5/14/08 |
Math 303 |
|
| Title: | Higher Geometry |
| Prerequisites: | Math 220 or permission of the instructor |
| Comments: | Students are expected to have had a high school geometry course and are somewhat familiar with the basics of analytic geometry.The course has natural historical and philosophical aspects, and it reviews some of the more intellectual challenging problems solved over the centuries. Although intended for potential secondary teachers, the course should be rewarding to many liberal arts students. |
| Text: | Geometry: A Historical Perspective, by M. Kallaher |
| Text Sections Covered: | ---- |
| Comments: | Format will be a mixture of group discussion, small group interaction, lecture. Grading will be based on group problem sets, tests and one project. |
| Topics: | The theme will be historical with emphasis on the development of geometry from the time of Euclid to modern times. During the semester various types of geometries (including noneuclidean, projective, finite) will be discussed. Special attention will |
| Submitted by: | MICHAEL KALLAHER |
| Date Submitted: | 6/25/07 |
MATH 315 |
|
| Title: | Differential Equations |
| Prerequisites: | Math 220 & 273 with a grade C or better. |
| Comments: | Linear differential equations and systems; series, numerical and qualitative approaches; applications. (material in Multivariable Calculus and Linear Algebra will be used) |
| Text: | Elementary Differential Equations and Boundary Value Problems, 8th Edition by W. Boyce & R. DiPrima; Published by Wiley, 2005. |
| Text Sections Covered: | Chapters 1-7 (1.1-7.9) |
| Comments: | Student Solutions Manual – Elementary Differential Equations by W.E. Boyce and R. C. DiPrima, 7th Edition (Optional) |
| Topics: | Classification of differential equations First order differential equations General theory of higher order linear differential equations Equations with constant coefficients Methods of undetermined coefficients and variation of parameters Series solutions of second order linear equations Laplace Transform Systems of first order linear differential equations |
| Submitted by: | Richard Gomulkiewicz |
| Date Submitted: | 5/16/08 |
Math 320 |
|
| Title: | Elementary Modern Algebra |
| Prerequisites: | Math 220 |
| Comments: | - |
| Text: | Instructor's Lecture Notes |
| Text Sections Covered: | - |
| Comments: | - |
| Topics: | We will cover the rudiments of modern alegbra and their application to solving polynomial equations, particularly the determination of the solvability of the quintic polynomial. Furthermore, time permitting, the classical Greek problems will be briefly discussed. Close attention will be paid to the historical development of the algebraic concepts with the intent of demonstrating how modern algebraic concepts arose from the problem of solving polynomial equations. The Application of these algebraic concepts to the above-mentioned problems will be examined, and other uses will be discussed. |
| Submitted by: | Mike Kallaher |
| Date Submitted: | 3/9/06 |
MATH 325 |
|
| Title: | Elementary Combinatorics |
| Prerequisites: | Math 220 |
| Comments: | Introduction to combinatorial theory: counting methods, binomial coefficients and identities, generating functions, occurence relations, inclusion-exclusion methods. |
| Text: | Introductory Combinatories, 4th Edition, by R. Brualdi; Published by Prentice Hall |
| Text Sections Covered: | Chapters 1, 2, 3, 5-8, and 14 if time allows. 1: What is Combinatorics?, 2: The Pigenhole Principle, 3: Permutations and Combinations, 4: Generating Permutations and Cominations, 5: The Binomial Coefficients, 6: The Inclusion-Exclusion Principle and Applications, 7: Recurrence Relations & Generating Functions, 8: Special Counting Sequences, 14: Polya Counting |
| Comments: | Develop proficiencies in problem solving, mathematical modeling, written and oral communication. Become skillful in combinatorial reasoning and its applications. |
| Topics: | Pigeonhole Principle, Permutations and Combinations, Binomial Coefficients, Identities, Inclusion-Exclusion Principle, Generating Functions, Recurrence Sequences, Generating Function, (Pólya Counting) |
| Submitted by: | DUANE DeTEMPLE |
| Date Submitted: | 5/5/07 |
Math 330 |
|
| Title: | Methods of Teaching Secondary Mathematics |
| Prerequisites: | Linear Algebra--Math 220; intention on becoming a secondary mathematics teacher |
| Comments: | - |
| Text: | No text book required, however, you are requied to purchase a bundle of software. Software Bundle includes: Geometer's Sketchpad (version 4), Fathom and Tinker Tots. Key College Publishing Co. |
| Text Sections Covered: | -Various articles will be supplied or put on reserve in Brain Library in Cleveland Hall, throughout the semester. |
| Comments: | - |
| Topics: | Each of you will be able: to create and implement effective pedagogical strategies incorporate collaborative learning and appropriate technology design a variety of assessment tools connect mathematics to the real world incorporate inclusive teaching strategies acquire knowledge of the state learning goals and Essential Academic Learning Requirements by (a) demonstrating knowledge of the goals (b) demonstrating skill in developing curriculum, instruction, and assessment of students in grades 4-12 Washington Math Standards, and (c) demonstrating the ability to have a positive impact on 4-12 students learning in the Washington Math Standard |
| Submitted by: | Kim Vincent |
| Date Submitted: | 7/6/07 |
Math 351 |
|
| Title: | Math for Elementary School Teachers III |
| Prerequisites: | Math 252, 251 or 107 |
| Comments: | Geometric transformations, coordinate methods in geometry, applications of school mathematics, mathematics software. |
| Text: | Software bundle: Fathom Dynamic Statistics w/ Geom.Sketchpad & Kaleidomania Bundle; Published by Key College Publishing Co. |
| Text Sections Covered: | - |
| Comments: | - |
| Topics: | Problem Solving & Mathematical Reasoning Number Systems (emphasizing integers & rational numbers) Algebraic Reasoning Statistics & Probability (Fathom statistics program, graphing calculators) Topics in Informal Geometry (Sketchpad Version 4, KaleidoMania!) Selected topics (applications, history, ethnomathematics, etc.) |
| Submitted by: | General Catalog 2006-2007 |
| Date Submitted: | 5/16/08 |
Math 360 |
|
| Title: | Probability & Statistics |
| Prerequisites: | - |
| Comments: | - |
| Text: | Probability & Statistics for Engineering & Sciences, 6th Edition by Devore; Published by Duxbury |
| Text Sections Covered: | Chapter 1. Introduction [Sec. 2-4] (1 week) Chapter 2. Probability [Sec. 1-5] (1 week) Chapter 3. Discrete Random Variables [Sec. 1-6] (3 weeks) Chapter 4. Continuous Random Variables [Sec. 1-4, 6] (3 weeks) Chapter 5. Joint Probability Distributions [Sec. 1-5] (.5 week) Chapter 6. Point Estimation [Sec. 1] (.5 week) Chapter 7. Statistical Intervals [Sec. 1-3] (1.5 weeks) Chapter 8. Tests of Hypotheses [Sec. 1-4] (1.5 weeks) Chapter 9. Two-Sample Inference [Sec. 1-3] (1.5 weeks) Chapter 12. Simple Linear Regression [Sec. 1, 2, 5] (1.5 weeks) |
| Comments: | - |
| Topics: | - |
| Submitted by: | Jave Pascual(for Spring 2005) |
| Date Submitted: | 3/10/06 |
MATH 364 |
|
| Title: | Principles of Optimization |
| Prerequisites: | Math 202 or Math 220 |
| Comments: | Students need a background in linear algebra. |
| Text: | Introduction to Mathematical Programming, Operations Research; 4th Edition by W. L. Winston & M. Venkataramanan (Thomson -Brooks/Cole, 2003). Please make sure to purchase a copy with the CD-ROM for LINDO software. |
| Text Sections Covered: | Selected sections in Chapters 1, 2, 3, 4, 6, 7 and 8 or 9 |
| Comments: | Emphasis of the course will be on model formulation and algorithms. The software package LINDO or AMPL will also be introduced. |
| Topics: | (1) An Introduction to Model Building (2) Basic Linear Algebra (3) Introduction to Linear programming (4) The Simplex Algorithm (5) Sensitivity Analysis and Duality (6) Transportation, Assignment, and Transshipment Problems (7) Networks Models or (8) Integer Programming Course web page |
| Submitted by: | A. Ariyawansa |
| Date Submitted: | 7/6/07 |
Math 370 |
|
| Title: | Introduction to Statistics for Engineers |
| Prerequisites: | - |
| Comments: | - |
| Text: | Engineering Statistics, 3rd Edition by Montgomery, Runger, & Hubere; Published by Wiley |
| Text Sections Covered: | - |
| Comments: | Taught by Statistics Department. |
| Topics: | - |
| Submitted by: | -- |
| Date Submitted: | -- |
Math 375 |
|
| Title: | Vector Analysis |
| Prerequisites: | Math 273 & 315 |
| Comments: | - |
| Text: | Introduction to Vector Analysis, 7th Edition by H. Davis & D. Snider; Published by Hawkes Publishing |
| Text Sections Covered: | The whole textbook is covered, including some Appendices. A few sections may be omitted. |
| Comments: | - |
| Topics: | Review of vector algebra and vector funtions, tensor calculus and differential forms, differential operations on scalar and vector fields, scalar and vector potenials, line and surface integrals, Stokes' Theorems, Fundamental Theorem of Vector Calculus, constrained optimization. |
| Submitted by: | Jan Kucera (for Fall 2004) |
| Date Submitted: | 3/10/06 |
MATH 398 |
|
| Title: | Mathematical Snapshots |
| Prerequisites: | Math 172 |
| Comments: | Character, life work, and historical importance of mathematicians from various eras and branches of mathematics |
| Text: | A Concise History of Mathematics, 4th Edition by Struik. Published by Dover |
| Text Sections Covered: | ---- |
| Comments: | Each student will write an independent term paper on a methematical topic not discussed in class such as: a biographical sketch of a famous mathematician; the development of an important mathematical concept; the evolution of mathemtical notation; a famous controversy over priority of discovery; an exposition of mathematics in an ancient culture, etc. The paper should be written carefully with respect to content, format, and language. |
| Topics: | Egyptian and Babylonian Mathematics; Arithmetic of Central and South America; Ancient Chinese Mathematics; Early Greek Mathematics; Apollonius, Archimedes, and Euclid; Anciente Indian Mathematics; Reawaking of European Mathematics; Irish Mathematicians; The Story of Two Greek Mathematicians of Modern Times; Sophia Kobalevskaya and Mathematics in 19th Century Russia; The Life of Alan Turing; Women in Mathematics. |
| Submitted by: | Mike Kallaher |
| Date Submitted: | 5/20/08 |
Math 401 |
|
| Title: | Introduction to Analysis I |
| Prerequisites: | Math 301 |
| Comments: | Properties of sets and sequences of real numbers; limits, continuity, differentiation and integration of functions; metric spaces. |
| Text: | A Friendly Introduction to Analysis, 2nd Edition by Witold A.J.Kosmala; Published by Prentice Hall |
| Text Sections Covered: | We shall cover most of Chapter 1 -- Chapter 6. |
| Comments: | - |
| Topics: | Sequences; limit theorems; Cauchy sequences; monotone sequences; limits of functions; continuity, differentiation; Riemann integral. |
| Submitted by: | Alex Panchenko |
| Date Submitted: | 5/20/08 |
MATH 402 |
|
| Title: | Introduction to Analysis II |
| Prerequisites: | Math 401 |
| Comments: | ---- |
| Text: | A Friendly Introduction to Real Anaylis, 2nd Edition, by Witold A. J. Kosmala; Published by Pearson/Prentice Hall |
| Text Sections Covered: | Chapters 7-11, Sequences of Functions, Infinite Series, A Glimpse Riemann Integral |
| Comments: | Continuation of Math 401 |
| Topics: | Sequences and series of functions Infinite series of constants Continuous real-valued functions of n variables Partial derivatives and the differential The Chain Rule and Taylor’s Theorem Linear Transformations and Matrices Continuity an |
| Submitted by: | Sandy Cooper |
| Date Submitted: | 3/10/06 |
MATH 415 |
|
| Title: | Introduction to Dynamical Systems |
| Prerequisites: | Math 315 or equivalent |
| Comments: | ---- |
| Text: | Nonlinear Dynamics and Chaos, by S. Strogatz; Addison-Wesley, 1994. Paperback printing, 2000. |
| Text Sections Covered: | We will cover parts I and II (Chapters 1 through 8 with selected applications) and some of part III. |
| Comments: | - |
| Topics: | flows on a line; bifurcations in 1D; flows on a circle; linear systems in 2D; the phase plane; linear stability analysis; local bifurcations; Newtonian, conservative and reversible systems; index theory; gradient systems; stability; Poincare-Bendixson Theorem; Dulac's criterion; limit cycles; relaxation oscillations; quasi-periodicity; Poincare maps; two time scales; Hopf bifurcations; nonlocal bifurcations in 2D; the Lorenz equations, chaos and 1D maps -- with numerous examples! |
| Submitted by: | MARK SCHUMAKER |
| Date Submitted: | 3/10/06 |
Math 416/516 |
|
| Title: | Simulation Methods |
| Prerequisites: | Cpt S 121 or 203 |
| Comments: | - |
| Text: | A First Course in Monte Carlo; 1st Edition by George Fishman; Published by Brooks & Cole, 2006. Supplemental: MATLAB Primer, T.A. Davis and K. Sigmon, 7th Edition, Chapman & Hall, 2005. |
| Text Sections Covered: | Chapters 2-3, 5-6 |
| Comments: | This course is subject to be updated. |
| Topics: | 1) Independent Monte Carlo 2) Sample Generation 3) Pseudorandom Number Generation 4) Variance Reduction |
| Submitted by: | Alan Genz |
| Date Submitted: | 9/14/07 |
Math 420 |
|
| Title: | Linear Algebra |
| Prerequisites: | Math 220 or Math 230, and Math 301 |
| Comments: | This course is only offered in the Fall semester. |
| Text: | Linear Algebra, by Friedberg, Insel and Spence, 4th Ed. Published by Prentice Hall |
| Text Sections Covered: | Chapters: 1-2, 4-6 |
| Comments: | - |
| Topics: | Inner product spaces; Linear transformations and matrices; Determinants; Diagonalization;Canonical forms. |
| Submitted by: | Michael Tsatsomeros |
| Date Submitted: | 5/20/08 |
Math 421 |
|
| Title: | Algebraic Structures |
| Prerequisites: | Math 220 or Math 230, and Math 301 |
| Comments: | Students should have some experience in writing proofs prior to taking this course. This course is on |