Click one of the following seasons to see the topics list from that season.
| 1988-1989 | 1989-1990 | 1990-1991 |
| 1991-1992 | 1992-1993 | 1993-1994 |
| 1994-1995 | 1995-1996 | 1996-1997 |
| 1997-1998 | 1998-1999 | 1999-2000 |
1988-1989 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Ratio, Proportion, Percent | Functions | Coordinate Geometry | Polynomial Equations |
| Meet 2 | Formula | Ratio, Proportion | Parabolas | Trig |
| Meet 3 | Simple Probability | Right Triangles | Logs and Exponents | Vectors |
| Meet 4 | Data Analysis | Circles | Binomial Theorem | Max/Min Problems |
| Meet 5 | Algebra I | Geometry | Algebra II | Pre-Calculus |
Orals |
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| Meet 1: GEOMETRIC PROBABILITY (UMAP Module 660: Applications of High School Mathematics in Geometric Probability, Richard Dalke and Robert Falkner.) | ||||
| Meet 2: EUCLIDEAN GEOMETRY OF THE POLYGON AND CIRCLE (Modern Geometries, James Smart. Brooks Cole Pub. Co. [Monteray, CA 93940] 2nd edition. Sections 4.1-4.3; p. 127-147) | ||||
| Meet 3: COMBINATORICS (An Introduction to Discrete Mathematics, Steven Roman. Saunders College Publishing [383 Madison Avenue, New York, NY 10017] 1986. Chapter 4, sections 1-8, pages 167-221) | ||||
| Meet
4: APPLICATIONS
OF THE DERIVATIVE (Max/Min, Related Rates, Rolle's Theorem, Mean Value
Theorem.) (Calculus and Analytic Geometry, Thomas & Finney.
Addison Wesley 6th edition. Chapter 3, sections 5-8, pages 205-231) |
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1989-1990 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Arithmetic Topics | Sets and Venn Diagrams | Geometric Probability | Functions |
| Meet 2 | Primes and Factors | Applications of Algebra to Geometry | Absolute Value | Trig with Applications |
| Meet 3 | Linear Equations and Inequalities | 2-D Similarity | Logs and Exponents | Combinatorics |
| Meet 4 | Probability | Perimeter, Area | Sequences and Series | Analysis of Graphs (with calculus) |
| Meet 5 | ||||
Orals |
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| Meet
1: COORDINATE
GEOMETRY (Geometry For Enjoyment And Challenge, Rhoad, Milauskas and
Whipple. McDougall Littell.) |
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| Meet 2: GRAPH THEORY (Discrete Mathematics, Roman) | ||||
| Meet
3: RINGS
(Introduction To Modern Algebra, McCoy) |
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| Meet
4: ECONOMIC
APPLICATIONS OF DERIVATIVES (Calculus And Analytic Geometry, Leithold,
Harper, and Row) |
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1990-1991 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Arithmetic Topics | Functions | Circles | Polynomial Equations |
| Meet 2 | Number Bases | Ratio, Proportion, Variation | One-variable Inequalities with Absolute Value | Trig |
| Meet 3 | Data Analysis | Right Triangles | Applications
of Quadratics and Graph Analysis |
Advanced Probability including Combinatorics |
| Meet 4 | Ratio, Proportion | Surface Area | Logs and Exponents | Max/Min Problems |
| Meet 5 | ||||
| nbsp; | ||||
Orals |
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| Meet 1: LINEAR PROGRAMMING (Finite Mathematics, Lial, Miller) | ||||
| Meet 2: SETS, ONE-TO-ONE CORRESPONDENCE, COUNTABLE and UNCOUNTABLE SETS (Discrete Mathematics, Roman) | ||||
| Meet 3: PROBABILITY (Finite Mathematics, Weiss, Yoseloff) | ||||
| Meet 4: MATHEMATICS OF MATRICES (Mathematics of Matrices, Davis) | ||||
1991-1992 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Perimeter, Area | Quadratics | Similarity | Coordinate Geometry |
| Meet 2 | Basic Counting Principles | Algebra / Geometry Connections | Rational Functions | Trig |
| Meet 3 | Linear Equations and Inequalities | Geometric Probability | Logs and Exponents | Graphs of Functions (with calculator) |
| Meet 4 | Quadratics | Regular Polygons | Linear Diophantine Equations | Vectors |
| Meet 5 | ||||
Orals |
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| Meet 1: POLAR COORDINATES (Analytic Geometry, Gordon Fuller. Addison Wesley. Chapter 7 [6th edition] or Chapter 6 [5th edition]) | ||||
| Meet 2: MATHEMATICAL INDUCTION (Discrete Mathematics, John Dossey, Scott Foresman. Sections 2.5 and 2.6) | ||||
| Meet 3: GROWTH AND DECAY (Calculus and Analytic Geometry, Leithold, Harper, and Row. Section 6.6 [5th edition] or section 7.7 [6th edition].) | ||||
| Meet 4: MARKOV CHAINS (Finite Mathematics, Lial and Miller. Scott Foresman 4th edition. Chapter 8) | ||||
1992-1993 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Ratio, Proportion, Percent | Linear Systems | Right Triangle Trig | 3-D Geometry: Area and Volume |
| Meet 2 | Algebra / Geometry Applications | Geometric Probability | Combinations and Permutations | Trig Applications (with calculator) |
| Meet 3 | Sets and Venn Diagrams | Similarity | Max/Min Problems | Sequences and Series |
| Meet 4 | Linear
Equations |
Circles | Logs and Exponents | Advanced Probability |
| Meet 5 | ||||
Orals |
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| Meet
1: COMBINATORIAL
ANALYSIS (Finite Mathematics, Weiss and Youseloff. |
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| Meet 2: SET THEORY (Finite Mathematics; Weiss & Youseloff, Worth Pub. 1975. Chapter 2) | ||||
| Meet 3: ITERATION (Chaos, Fractals, and Dynamics, Robert Devaney. Addison Wesley. Chapters 1 and 2) | ||||
| Meet
4: GROUPS
& GRAPHS (Groups & Their Graphs, Grossman and Mangus. MAA New
Mathematical Library, Book 14. Pages 3-55) |
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|
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Non-Algebraic
Word Problem |
Functions | Locus | Operations on Functions |
| Meet 2 | Linear Equations | Coordinate Geometry | Surface Area, Volume | Probability |
| Meet 3 | Coordinate Geometry | Similarity | Logs and Exponents | Rational Equations and Inequalities |
| Meet 4 | Quadratics | Right Triangles | Rational Functions | Polars |
| Meet 5 | ||||
Orals |
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| Meet 1: PARAMETRIC EQUATIONS (Analytic Geometry, Gordon Fuller. Addison Wesley. Chapter 8 [6th edition] or Chapter 7 [5th edition]) | ||||
| Meet 2: INDUCTION (Discrete Algorithmic Mathematics, Stephen Maurer and Anthony Ralston. Addison Wesley 1991. Sections 2.1-2.5, pages 137-178) | ||||
| Meet 3: STATISTICS AND PROBABILITY DISTRIBUTIONS (Finite Mathematics, Lial and Miller. Scott Foresman. Sections 7.1-7.4) | ||||
| Meet
4: FRACTALS
(Fractals for the Classroom, volume 2. NCTM Publication.) |
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1994-1995 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Ratio, Proportion, Percent | Sets and Venn Diagrams | Similarity | Sequences and Series |
| Meet 2 | Number Theory | Systems of Equations and Inequalities | Probability | Trig |
| Meet 3 | Word Problems | Similarity | Logs and Exponents | Vector Analytic Graphing |
| Meet 4 | Algebra / Geometry Applications | Perimeter, Area, Volume | Analysis of Functions | Max/Min Problems |
| Meet 5 | ||||
Orals |
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| Meet 1: DIGRAPHS AND NETWORKS (Finite Mathematics, by Lial and Miller. Scott Foresman. Chapter 11.) | ||||
| Meet 2: DIFFERENCE EQUATIONS (Discrete Algorithmic Mathematics, Stephen Maurer and Anthony Ralston. Addison Wesley 1991. Sections 5.1 – 5.5.) | ||||
| Meet
3: THEORY OF CONGRUENCES (Elementary Number
Theory, David M. Burton. William C. Brown Pub. 3rd edition.
Chapter 4.) |
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| Meet
4: ERROR
CORRECTING CODES (Introduction to the Theory of Error Correcting Codes,
Vera Pless. John Wiley Publishing 2nd edition. Chapters 1 and 2.) |
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1995-1996 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Perimeter, Area | Linear Systems | Circles | Triangle Trig |
| Meet 2 | Simple Probability | Geometric Probability | 2-D and 3-D Locus | Pre-Calculus Word Problems |
| Meet 3 | Sets and Venn Diagrams | Coordinate Geometry | Functions | Limits (no calculator) |
| Meet 4 | Linear Equations and Inequalities | Similarity | Sequences and Series | Polars |
| Meet 5/font> | ||||
Orals |
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| Meet 1: GRAPH THEORY (An Introduction to Discrete Mathematics, Steven Roman. Saunders College Pub. 1986. Sections 6.1-6.3) | ||||
| Meet 2: LINEAR PROGRAMMING: THE SIMPLEX METHOD (Finite Mathematics, Lial and Miller. Scott Foresman 4th edition. Sections 4.1-4.4 [Chapter 3 may need to be read as well for background]) | ||||
| Meet 3: LOGIC (Discrete Algorithmic Mathematics, Stephen Maurer and Anthony Ralston. Addison Wesley 1991. Sections 7.1-7.5) | ||||
| Meet
4: TAXICAB
GEOMETRY (Taxicab Geometry, an Adventure in Non-Euclidean Geometry,
Eugene Krause. Dover Publications. Chapters 1-5.) |
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1996-1997 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet
1 |
Perimeter, Area | Quadratics | Matrices with Applications | Probability |
| Meet 2 | Number Bases | Perimeter, Area, Volume | Surface Area, Volume | Trig Equations and Functions |
| Meet 3 | Linear Equations | Similarity | Triangle Trig | Parametrics |
| Meet 4 | Quadratics | Coordinate Geometry | Logs and Exponents | Vector Analytic Graphing |
| Meet 5 | ||||
Orals |
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| Meet 1: INDUCTION (Discrete Math, John Dossey, et al. Scott Foresman, Sections 2.5 and 2.6) | ||||
| Meet 2: MATRIX GAMES (Finite Mathematics, Weiss and Youseloff. Worth Pub. 1975. Pages 479-521)/span> | ||||
|
Meet
3: GROUPS (Contemporary Abstract Algebra,
Joseph A. Gallian. D.C. Heath 3rd edition, 1994. Pages 23-67.
[ISBN #0-669-33907-5] [There is a solution manual available as well.]) |
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| Meet 4: MATHEMATICS IN MEDICINE (Contemporary Applied Mathematics, Sacco, Copes, Sloyer, and Stark. Jansen Publications [ISBN #: 0-939-765-06-3] [There is also a teacher's guide available.]) (UMAP Module 456 Genetic Counseling) (UMAP Modules 105 and 109 Food Service Management Applications of Matrix Methods: Food Service and Dietary Requirements) | ||||
1997-1998 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet 1 | Number Bases | Coordinate Geometry | Manipulation
of Algebraic Expressions and Equations |
Functions |
| Meet 2 | Basic Counting Principles | Geometric Probability | Similarity | Max/Min Problems (no calculator) |
| Meet 3 | Coordinate Geometry | Perimeter, Area, Volume | Sequences and Series | Trig |
| Meet 4 | Linear Equations and Inequalities | Triangle Trig | Probability | Parametrics |
| Meet 5 | ||||
|
NO CALCULATOR AT MEET 1. |
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Orals |
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| Meet
1: ITERATION
(Chaos, Fractals, and Dynamics, Robert Devaney. Addison Wesley 1990
[ISBN #0-201-23288-X]. Chapters 1 and 2) |
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| Meet
2: TRANSFORMATIONS
(Mathematics of Matrices, Phillip Davis. Ginn and Co. 1965.
[Library of Congress #64-24818] Sections 4.1 - 4.5.) |
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|
Meet 3:
DIFFERENTIAL EQUATIONS (Calculus, Deborah Hughes-Hallet et al.
John Wiley and Sons 1994. Sections 9.1-9.8, pages 477-552) |
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| Meet
4: MATHEMATICS
IN POLITICS (Mathematics in Politics - Strategies, Voting, Power,
and Proof, Allen D. Taylor. [ISBN #0-387-94391-9] Chapters 1 and 2.) |
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1998-1999 |
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| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet 1 | Ratio, Proportion, Percent | Equations and Inequalities | Similarity | Logs and Exponents |
| Meet 2 | Applications of Algebra to Junior High Geometry | Exponents with Applications | Linear, Quadratic, and Rational Functions | Optimization |
| Meet 3 | Coordinate Geometry | Similarity | Probability | Trig |
| Meet 4 | Linear Systems of Equations and Inequalities | Circles | Triangle Trig | Vectors |
| Meet 5 | ||||
|
NO CALCULATOR AT MEET 1. |
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Orals |
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| Meet
1: MARKOV CHAINS (Finite Mathematics,
Lial and Miller. Scott Foresman 4th edition. Chapter 8) |
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| Meet
2: GROUPS (Contemporary Abstract Algebra,
Joseph A. Gallian. D.C. Heath 3rd edition, 1994. Pages 23-67.
[ISBN #0-669-33907-5] [There is a solution manual available as
well]) |
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|
Meet 3: INDUCTION (Discrete Math, John
Dossey, et al. Scott Foresman. Sections 2.5 and 2.6.) |
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| Meet
4:
TOPICS IN GEOMETRY (Geometry Revisited, Coxeter and Greitzer.
MAA. Chapter 1) |
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1999-2000 |
||||
| (top) |
Freshmen |
Sophomores |
Juniors |
Seniors |
| Meet 1 | Modular Arithmetic | Absolute Value Equations and Inequalities | Coordinate Geometry | Trig Equations |
| Meet 2 | Basic Counting Principles and Simple Probability | Geometric Probability | Algebraic Word Problems | Sequences and Series |
| Meet 3 | Linear Equations | Right Triangle Trig with Applications | Analysis of Polynomials | Complex Numbers |
| Meet 4 | Word Problems | Similarity | Logs and Exponents | Probability |
| Meet 5 | ||||
Orals |
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| Meet 1: PARAMETRIC EQUATIONS (Analytic Geometry, Gordon Fuller. 7th edition. Chapter 8) | ||||
| Meet
2: LINEAR DIOPHANTINE EQUATIONS (Linear
Systems -
Beyond the Unique Solution,
Wally Dodge and Paul Sally) |
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| Meet 3: LINEAR TRANSFORMATIONS OF THE PLANE (Mathematics of Matrices, Phillip David. Ginn and Co. Sections 4.1-4.5) | ||||
| Meet 4: GEOMETRIC INVERSIONS (Excursions in Geometry, C. Stanley Ogilvy. Chapters 3 and 4) | ||||