Mathematics
US MATH CALCULATOR/TECHNOLOGY USAGE POLICY
Understanding that a comprehensive mathematics curriculum should help students learn to use calculators, computers, and other tools of technology as a part of learning mathematics, the US Mathematics Department promotes the use of technology as an integral part of our mathematics program. This position is supported by the National Council of Teachers of Mathematics (NCTM) that states: “…instructional programs should use technology to help all students understand mathematics and should prepare them to use mathematics in an increasingly technological world.” “…Technology is essential in teaching and learning mathematics, it influences the mathematics that is taught and enhances students’ learning.” The NCTM makes it clear that such tools do not replace the need to learn basic math skills, to compute mentally, or to do reasonable paper and pencil computation. In fact, the NCTM Standards suggest that when used appropriately, calculators and computers enable students to explore new areas of mathematics and to tackle challenging mathematical problems that would not be possible without the help of such tools. In line with this philosophy, we offer the following policy on the use of technology.
We require the appropriate use of technology in the classroom. Games are not to be played during class. Students need to consider when use of mental mathematics, paper & pencil, or a calculator is appropriate. Calculator dependency, as evidenced by the use of a calculator for multiplying single or double digit numbers, often should be avoided. (Keep in mind that over onehalf of the AP Calculus exam does not allow calculator use. Also note that a portion of the SAT test does not allow calculator use as well.)
We require that students purchase their own calculator. Since demonstrations will be done using the TI84 Plus CE calculator, this is the model we require students to have. The TI84 Plus CE model is acceptable for all TAS math classes. Students should not purchase other models. Some other models have a Computer Algebra System (CAS) and IB does not allow CAS calculators to be used. Please do not purchase other TI models (or other brands), as they are not appropriate for our classes and may not have similar capabilities as the models we use. The SAT, ACT, AP, and IB will allow use of the TI84 Plus CE model on its exams. Calculators are available in the Tiger Shop and may also be purchased through online retail sites.
We recognize that calculators left unattended may be targets for theft. To help combat theft, the US Mathematics Department has purchased an engraver that students may use at any time that classes are not in session for engraving their name on their calculator. We strongly encourage students to engrave their calculators! Engraving can be done in the math office before school, during breaks, and after school.
Students will be required to show all work in their solutions and may have to explain how they arrived at their solution as a demonstration of their understanding. This applies to homework, quizzes, and tests, whether a calculator is used or not. The calculator should not replace the understanding of fundamental concepts of mathematics. Therefore, a reasonable emphasis will be placed on teaching with mental computation and paper & pencil calculation.
Course Offerings 20172018
 INTRODUCTION TO ALGEBRA (UMAT01)
 ALGEBRA 1 (UMAT02)
 GEOMETRY (UMAT03)
 GEOMETRY WITH PROOF (UMAT04)
 HONORS GEOMETRY WITH PROOF (UMAT04H)
 ALGEBRA 2 (UMAT06)
 ALGEBRA 2A (UMAT06A) ALGEBRA 2B (UMAT06B)
 HONORS ALGEBRA 2 (UMAT07)
 PRECALCULUS (UMAT08)
 AP STATISTICS (UMAT09)
 IBSL MATH STUDIES (UMAT10)
 IBSL MATHEMATICS YEAR 1 (UMAT111) IBSL MATHEMATICS YEAR 2 (UMAT112)
 HONORS PRECALCULUS (UMAT12)
 CALCULUS (UMAT121)
 HONORS CALCULUS A (UMAT12N)
 AP CALCULUS AB (UMAT13)
 AP CALCULUS BC (UMAT14)

IBHL MATHEMATICS YEAR 1 (UMAT15A)
IBHL MATHEMATICS YEAR 2 (UMAT15B)  HONORS DIFFERENTIAL EQUATIONS (UMAT16)
 HONORS LINEAR ALGEBRA (UMAT17)
 HONORS ADVANCED TOPICS IN MATHEMATICS (UMAT18)
 HONORS MULTIVARIABLE CALCULUS (UMAT 19 )
 MATHEMATHEMATICAL MODELING AND APPLICATIONS (UMAT 122)
INTRODUCTION TO ALGEBRA (UMAT01)
INTRODUCTION TO ALGEBRA (UMAT01)
Duration: 1 year
Credit: 1
Homework: Moderate
This course is for students who have completed PreAlgebra and need additional work solidifying basic concepts before they can be successful in Algebra I. It is a bridge course that reviews prealgebra topics while introducing algebraic concepts. Story problems are emphasized throughout the course.
Text: Algebra (McDougal/Littell)
ALGEBRA 1 (UMAT02)
ALGEBRA 1 (UMAT02)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of PreAlgebra or Intro to Algebra
Homework: Heavy
Included in this course is the real number system, linear equations and their graphs, inequalities, polynomials, rational expressions, quadratic equations, relations and functions. Students need a TI84 Plus C or CE graphing calculator.
Text: Algebra (ISBN: 9780076639236)
GEOMETRY (UMAT03)
GEOMETRY (UMAT03)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1 or recommendation of math department
Homework: Moderate
While this course does not require proofs as Geometry with Proof does, it examines many of the same concepts through constructions, drawings, and explorations. These concepts include points; lines and planes; congruence and similarity of triangles and other polygons; angles; circles; perimeter; area and volume; Pythagorean Theorem; and an introduction to trigonometry.
Text: Discovering Geometry (ISBN: 9781559538824)
GEOMETRY WITH PROOF (UMAT04)
GEOMETRY WITH PROOF (UMAT04)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1; recommendation of the department
Homework: Heavy
Students study the basic definitions used in deductive reasoning, basic principles of logic, properties of different polygons, perpendicularity, congruence, similarity of triangles, properties of circles, constructions, areas, and volumes. Proofs will be studied, but not emphasized.
Text: Geometry (ISBN: 9780133500417)
HONORS GEOMETRY WITH PROOF (UMAT04H)
HONORS GEOMETRY WITH PROOF (UMAT04H)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1; recommendation of the department
Homework: Heavy
This course is a highpowered college prep class that is both fastpaced and indepth. Students study the basic definitions used in inductive and deductive reasoning, principles of logic, properties of different polygons, perpendicularity, congruence, similarity of triangles, properties of circles, constructions, areas, and volumes. Emphasis is placed on proofs and problem solving.
Text: Geometry (ISBN: 9780133500417)
ALGEBRA 2 (UMAT06)
ALGEBRA 2 (UMAT06)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1 and Geometry, Geometry with Proof, Honors Geometry with Proof, or recommendation of the department
Homework: Heavy
This course is a standard college prep class. Algebra 2 provides a thorough review of the topics covered in Algebra 1 and develops concepts in complex numbers, polynomial and rational functions, exponential and logarithmic functions, conic sections, probability, and sequences and series. Students need a TI84 Plus C or CE graphing calculator.
Text: Intermediate Algebra (ISBN: 9780321880123)
ALGEBRA 2A (UMAT06A) ALGEBRA 2B (UMAT06B)
ALGEBRA 2A (UMAT06A)
ALGEBRA 2B (UMAT06B)
Duration: 2 years
Credit: 1 per year
Prerequisite: Successful completion of Algebra 1 and Geometry, Geometry with Proof, or recommendation of the department
Homework: Moderate
This course follows the Algebra 2 (UMAT06) curriculum over two years. Students need a TI84 Plus C or CE graphing calculator.
Text: Intermediate Algebra (ISBN: 9780321880123)
HONORS ALGEBRA 2 (UMAT07)
HONORS ALGEBRA 2 (UMAT07)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1, Geometry with Proof or Honors Geometry with Proof; recommendation of math department
Homework: Heavy
This course is a highpowered college prep class that is both fastpaced and indepth. It considers such topics as linear equations, systems of equations, determinants, polynomials, sequences, series, probability, complex numbers, quadratic relations, logarithms, and trigonometry. This class prepares students for Honors Calculus A. Students need a TI84 Plus C or CE graphing calculator.
Text: College Algebra (ISBN: 9780321729644)
PRECALCULUS (UMAT08)
PRECALCULUS (UMAT08)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2
Homework: Moderate
This course covers essentially the same curriculum as Honors Precalculus, but several topics of study are not covered at the same depth as the Honors course. The course consists of such topics as trigonometry, polynomial functions, logarithms and exponents, and complex numbers. Successful completion of this course should prepare a student for first term introductory to calculus in a typical U.S. college.
AP STATISTICS (UMAT09)
AP STATISTICS (UMAT09)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Precalculus or concurrent with Honors Precalculus / Honors Calculus A and recommendation of math department
Homework: Heavy
This course is similar to a first semester statistics course as taught in most U.S. colleges. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. An external exam at the end of the year can provide students with college credit. Students are required to take the AP exam.
Text: The Practice of Statistics for AP (ISBN: 9781429245593)
IBSL MATH STUDIES (UMAT10)
IBSL MATH STUDIES (UMAT10)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2 and recommendation of math department
Homework: Moderate
This course is a continuation of Algebra 2 and is designed primarily for IB students who are taking mathematical studies at the subsidiary level. The following topics are covered: functions, computation, sets, logic, data analysis, business techniques, geometry of the earth’s surface and trigonometry. A written project (2000 words in length) is a major part of the course. Students are required to take the IB exam at the completion of the course.
Text: Mathematical Studies Standard Level (ISBN: 9780198390138)
IBSL MATHEMATICS YEAR 1 (UMAT111) IBSL MATHEMATICS YEAR 2 (UMAT112)
IBSL MATHEMATICS YEAR 1 (UMAT111)
IBSL MATHEMATICS YEAR 2 (UMAT112)
Duration: 2 years
Credit: 1 per year
Grade: 1112
Prerequisite: Algebra 2 and recommendation of the math department
Homework: Heavy
The IB Standard Level Mathematics Syllabus is followed in this two year course. Year 1 mathematics topics are introduced, studied in depth, and woven into the remainder of the course: Algebra, Functions, and Circular Functions and Trigonometry. Year 2 Topics include Vectors, Probability and Statistics, and Differential and Integral Calculus. The two year course culminates in the taking of the externally scored IBSL Math Exam at the conclusion of year 2. Taking the IB exam is required of all Year 2 enrolled students. A Mathematics Exploration is also required of all students, which is an independent exploration into a mathematics topic that each student prepares during Year 2, and which is internally assessed as part of the IB score.
Text: Mathematics for the International Student, Mathematics SL, 3rd Edition (ISBN: 9781921972089)
HONORS PRECALCULUS (UMAT12)
HONORS PRECALCULUS (UMAT12)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2 or Honors Algebra 2
Homework: Heavy
This course is a standard precalculus course. The course consists of such topics as trigonometry, polynomial functions, logarithms and exponents, and complex numbers. Successful completion of this course should prepare a student for first term calculus in a typical U.S. college.
CALCULUS (UMAT121)
CALCULUS (UMAT121)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Precalculus or Honors Precalculus, and recommendation of math department
Homework: Heavy
This course includes a review of polynomials, trigonometric, exponential, and logarithmic functions, followed by discussion of limits, derivatives, and applications of differential calculus to realworld problem areas. An introduction to integration concludes the course.
HONORS CALCULUS A (UMAT12N)
HONORS CALCULUS A (UMAT12N)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Honors Algebra 2; recommendation of math department
Homework: Heavy
This is a fastpaced, comprehensive course. Honors Calculus A reviews trigonometry, analytic geometry, logarithms, conics, vectors, limits, and differential calculus are studied in depth.
Text: Precalculus (see Math Department for ISBN); and Calculus: Graphical, Numerical, Algebraic (ISBN: 0132014084)
AP CALCULUS AB (UMAT13)
AP CALCULUS AB (UMAT13)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Geometry with Proof and Honors Precalculus and recommendation of math department
Homework: Heavy
This course is similar to first semester calculus as taught in most U.S. colleges and universities. Topics include differentiation of polynomials, trigonometry, exponential, and logarithmic functions as well as integration techniques and theory. Students are required to take the AP exam at the completion of the course.
Text: Worldwide AP Calculus (ISBN: 9780984207169)
AP CALCULUS BC (UMAT14)
AP CALCULUS BC (UMAT14)
Duration: 1 year
Credit: 1
Prerequisites: Successful completion of Honors Calculus A and recommendation of math department
Homework: Heavy
This course is intended for those students who have good mathematical ability. The course is rigorous and, when combined with the prerequisite, will prepare students for both the AP Calculus BC exam and the IB HL exam. The content is similar to the first two semesters of college calculus as taught in most United States colleges and universities. The Calculus topics covered include integration techniques, polar coordinates, vectors, parametric equations, sequences and series, differential equations and slope fields. Projects that extend the course content will be an integral component of the course. These may be used to meet IB portfolio requirements. Students are required to take either the AP Calculus BC exam or the IB HL exam upon completion of the course.
Text: Calculus (ISBN: 9780618503049)
IBHL MATHEMATICS YEAR 1 (UMAT15A)
IBHL MATHEMATICS YEAR 2 (UMAT15B)
IBHL MATHEMATICS YEAR 1 (UMAT15A)
IBHL MATHEMATICS YEAR 2 (UMAT15B)
Duration: 2 years
Credit: 1 per year
Prerequisites: Successful completion of Honors Algebra 2 and recommendation of math department
Homework: Heavy
The IB Higher Level Mathematics Syllabus is followed in this two year course. The course is rigorous and consists of trigonometry, analytic geometry, logarithms, conics, vectors, limits, differential calculus, integration techniques, applications of integration, sequences and series, differential equations and slope fields. Portfolio work is a major component of this course. The IB curriculum consists of the following topics: number theory, algebra, vectors, matrices, trigonometry, statistics and probability, as well as calculus. Students are required to take the IB exam upon completion of the course.
Texts: Mathematics Higher Level (ISBN: 9781107661738); Calculus (ISBN: 9780618503049)
HONORS DIFFERENTIAL EQUATIONS (UMAT16)
HONORS DIFFERENTIAL EQUATIONS (UMAT16)
Duration: 1 semester, offered in Semester II only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL 2 Math
Homework: Heavy
This is a universitylevel course for advanced students who have a passion for mathematics. Differential Equations are mathematical formulations that translate the laws of nature; therefore, in order to understand contemporary science and engineering one must understand differential equations and the properties of their solutions.
Text: Differential Equations (ISBN: 9780136004387)
HONORS LINEAR ALGEBRA (UMAT17)
HONORS LINEAR ALGEBRA (UMAT17)
Duration: 1 semester, offered in Semester I only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL 2 Math
Homework: Heavy
This is a universitylevel course for advanced students who have a passion for mathematics. Linear Algebra will include topics that are useful in other disciplines; these might include vector spaces, systems of equations, positive definite matrices, determinants, eigenvalues, and similarity.
Text: Linear Algebra (ISBN: 0321287134)
HONORS ADVANCED TOPICS IN MATHEMATICS (UMAT18)
HONORS ADVANCED TOPICS IN MATHEMATICS (UMAT18)
Duration: 1 semester, offered in Semester 2 only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL Year 2 Math and recommendation of math department
Homework: Heavy
This course is for advanced math students to explore further topics in math such as nonlinear dynamics, partial differential equations, abstract algebra, Fourier series, and complex calculus. The specific course content will be directed by student interest.
HONORS MULTIVARIABLE CALCULUS (UMAT 19 )
HONORS MULTIVARIABLE CALCULUS (UMAT19)
Duration: 1 semester, offered in Semester 1 only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL Year 2 Math and recommendation of math department
Homework: Heavy
This course extends the ideas learned in a single variable calculus course to multiple variables. The course first begins by investigating geometric objects and vectors in three dimensional spaces. It then moves onto extending calculus of a single variable to multiple using the formal definition of limits, derivatives, and integrals. Finally vector calculus and its associated theorems are explored  Gauss’, Stokes’, and Greens’ theorems are used and investigated. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.
MATHEMATHEMATICAL MODELING AND APPLICATIONS (UMAT 122)
MATHEMATICAL MODELING AND APPLICATIONS (UMAT122)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2 and recommendation of math department
Homework: Moderate
It is often noted that we live in a datadriven society. A more accurate description is that we live in an “interpretation of data”driven society. This course is all about how we use mathematics to interpret, analyze, and visualize the data we are confronted with in our daily lives. Students will read, discuss, and write about the use and misuse of statistics in media and politics. Students will design and conduct observational studies and experiments to answer questions of interest. The three philosophies of statistical inference will be explored: Frequentist, Likelihood, and Bayesian. There are a wide variety of disciplines that require an understanding of data analysis. Examples include, but are not limited to, the social sciences (i.e., psychology or sociology), biostatistics, criminology, political science, business, economics, physics, and law.
Course Offerings 20182019
 INTRODUCTION TO ALGEBRA (UMAT01)
 ALGEBRA 1 (UMAT02)
 GEOMETRY (UMAT03)
 HONORS GEOMETRY (UMAT041)
 HONORS ADVANCED GEOMETRY (UMAT042)
 ALGEBRA 2 (UMAT06)
 HONORS ALGEBRA 2 (UMAT070)
 ALGEBRA 2B (UMAT06B)
 HONORS ADVANCED ALGEBRA 2 (UMAT071)
 PRECALCULUS (UMAT08)
 HONORS PRECALCULUS (UMAT12)
 AP STATISTICS (UMAT09)
 IBSL MATH STUDIES (UMAT10)

IBSL MATHEMATICS 1 (UMAT111)
IBSL MATHEMATICS 2 (UMAT112)  HONORS PRECALCULUS & DIFFERENTIAL CALC (UMAT123)
 CALCULUS (UMAT121)
 AP CALCULUS AB (UMAT13)
 AP CALCULUS BC (UMAT14)

IBHL MATHEMATICS 1 (UMAT15A)
IBHL MATHEMATICS 2 (UMAT15B)  HONORS DIFFERENTIAL EQUATIONS (UMAT16)
 HONORS LINEAR ALGEBRA (UMAT17)
 HONORS ADVANCED TOPICS IN MATHEMATICS (UMAT18)
 HONORS MULTIVARIABLE CALCULUS (UMAT19)
 MATHEMATICAL MODELING & APPLICATIONS (UMAT122)
INTRODUCTION TO ALGEBRA (UMAT01)
INTRODUCTION TO ALGEBRA (UMAT01)
Duration: 1 year
Credit: 1
Homework: Moderate
This course is for students who need additional work solidifying basic concepts before they can be successful in Algebra I. It is a bridge course that reviews prealgebra topics while introducing algebraic concepts. Story problems are emphasized throughout the course.
Text: Algebra (McDougal/Littell)
ALGEBRA 1 (UMAT02)
ALGEBRA 1 (UMAT02)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of PreAlgebra or Introduction to Algebra
Homework: Moderate
Included in this course is the real number system, linear equations and their graphs, inequalities, polynomials, rational expressions, quadratic equations, relations and functions. Students need a TI84 Plus CE graphing calculator.
Text: Algebra (ISBN: 9780076639236)
GEOMETRY (UMAT03)
GEOMETRY (UMAT03)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1 or recommendation of math department
Homework: Moderate
While this course does not require proofs as Honors Geometry with Proof does, it examines many of the same concepts through constructions, drawings, and explorations. These concepts include points; lines and planes; congruence and similarity of triangles and other polygons; angles; circles; perimeter; area and volume; Pythagorean Theorem; and an introduction to trigonometry.
HONORS GEOMETRY (UMAT041)
HONORS GEOMETRY (UMAT041)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1; recommendation of the department
Homework: Heavy
Students study the basic definitions used in deductive reasoning, basic principles of logic, properties of different polygons, perpendicularity, congruence, similarity of triangles, properties of circles, constructions, areas, and volumes. Proofs will be studied, but not emphasized. Students need a TI84 Plus CE graphing calculator.
Text: Geometry (ISBN: 9780133500417)
HONORS ADVANCED GEOMETRY (UMAT042)
HONORS ADVANCED GEOMETRY (UMAT042)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1; recommendation of the department
Homework: Heavy
This course is a highpowered honors class that is both fastpaced and indepth. Students study the basic definitions used in inductive and deductive reasoning, principles of logic, properties of different polygons, perpendicularity, congruence, similarity of triangles, properties of circles, constructions, areas, and volumes. Emphasis is placed on proofs and problem solving. Students need a TI84 Plus CE graphing calculator.
Text: Geometry (ISBN: 9780133500417)
ALGEBRA 2 (UMAT06)
ALGEBRA 2 (UMAT06)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1 and Geometry or Honors Geometry; recommendation of the department
Homework: Moderate
This course is a standard college prep class. Algebra 2 provides a thorough review of the topics covered in Algebra 1 and develops concepts in complex numbers, polynomial and rational functions, exponential and logarithmic functions, conic sections, probability, and sequences and series. Students need a TI84 Plus CE graphing calculator.
Text: Intermediate Algebra (ISBN: 9780321880123)
HONORS ALGEBRA 2 (UMAT070)
HONORS ALGEBRA 2 (UMAT070)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1 and Geometry, Honors Geometry, or Honors Advanced Geometry, or recommendation of the department
Homework: Heavy
This course extends the topics covered in Algebra 1 and develops concepts in complex numbers, polynomial and rational functions, exponential and logarithmic functions, conic sections, probability, and sequences and series. Students need a TI84 Plus CE graphing calculator.
Text: Intermediate Algebra (ISBN: 9780321880123)
ALGEBRA 2B (UMAT06B)
ALGEBRA 2B (UMAT06B)
Duration: 1 years
Credit: 1 per year
Prerequisite: Successful completion of Algebra 2A, or recommendation of the department
Homework: Moderate
This course follows the second half of the Algebra 2 curriculum. Students need a TI84 Plus CE graphing calculator.
Text: Intermediate Algebra (ISBN: 9780321880123)
HONORS ADVANCED ALGEBRA 2 (UMAT071)
HONORS ADVANCED ALGEBRA 2 (UMAT071)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 1, Honors Geometry or Honors Advanced Geometry; recommendation of math department
Homework: Heavy
This course is a highpowered honors class that is both fastpaced and indepth. It considers such topics as linear equations, systems of equations, determinants, polynomials, sequences, series, probability, complex numbers, quadratic relations, logarithms, and trigonometry. This class prepares students for Honors Precalculus & Differential Calc. Students need a TI84 Plus CE graphing calculator.
Text: College Algebra (ISBN: 9780321729644)
PRECALCULUS (UMAT08)
PRECALCULUS (UMAT08)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2
Homework: Moderate
This course covers essentially the same curriculum as Honors Precalculus, but several topics of study are not covered at the same depth as the Honors course. The course consists of such topics as trigonometry, polynomial functions, logarithms and exponents, and complex numbers. Successful completion of this course should prepare a student for first term introductory to calculus in a typical U.S. college. Students need a TI84 Plus CE graphing calculator.
Text: Precalculus, 9th edition (ISBN: 9781133949039
HONORS PRECALCULUS (UMAT12)
HONORS PRECALCULUS (UMAT12)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2 or Honors Algebra 2
Homework: Heavy
This course includes trigonometry, polynomial functions, logarithms and exponents, and complex numbers. Successful completion of this course should prepare a student for AP Calculus AB or first term calculus in a typical U.S. college. Students need a TI84 Plus CE graphing calculator.
Text: Precalculus 5th edition (ISBN: 9780321837349)
AP STATISTICS (UMAT09)
AP STATISTICS (UMAT09)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Precalculus or concurrent with Honors Precalculus / Honors Precalculus & Differential Calc; recommendation of math department
Homework: Heavy
This course is similar to a first semester statistics course as taught in most U.S. colleges. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. An external exam at the end of the year can provide students with college credit. Students are required to take the AP exam. Students need a TI84 Plus CE graphing calculator.
Text: The Practice of Statistics for AP (ISBN: 9781464108730)
IBSL MATH STUDIES (UMAT10)
IBSL MATH STUDIES (UMAT10)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2 and recommendation of math department
Homework: Moderate
This course is a continuation of Algebra 2 and is designed primarily for IB students who are taking mathematical studies at the subsidiary level. The following topics are covered: functions, computation, sets, logic, data analysis, business techniques, geometry of the earth’s surface and trigonometry. A written project (2000 words in length) is a major part of the course. Students are required to take the IB exam at the completion of the course. Students need a TI84 Plus CE graphing calculator.
Text: Mathematical Studies Standard Level (ISBN: 9780198390138)
IBSL MATHEMATICS 1 (UMAT111)
IBSL MATHEMATICS 2 (UMAT112)
IBSL MATHEMATICS YEAR 1 (UMAT111)
IBSL MATHEMATICS YEAR 2 (UMAT112)
Duration: 2 years
Credit: 1 per year
Grade: 1112
Prerequisite: Honors Algebra 2 and recommendation of the math department
Homework: Heavy
The IB Standard Level Mathematics Syllabus is followed in this two year course. Year 1 mathematics topics are introduced, studied in depth, and woven into the remainder of the course: Algebra, Functions, and Circular Functions and Trigonometry. Year 2 Topics include Vectors, Probability and Statistics, and Differential and Integral Calculus. The two year course culminates in the taking of the externally scored IBSL Math Exam at the conclusion of year 2. Taking the IB exam is required of all Year 2 enrolled students. A Mathematics Exploration is also required of all students, which is an independent exploration into a mathematics topic that each student prepares during Year 2, and which is internally assessed as part of the IB score. Students need a TI84 Plus CE graphing calculator.
Text: Mathematics for the International Student, Mathematics SL, 3rd Edition (ISBN: 9781921972089)
HONORS PRECALCULUS & DIFFERENTIAL CALC (UMAT123)
HONORS PRECALCULUS & DIFFERENTIAL CALC (UMAT123)
Duration: 1 years
Credit: 1 per year
Prerequisite: Successful completion of Honors Advanced Algebra 2; recommendation of math department
Homework: Heavy
This is a fastpaced, comprehensive course covers the Honors Precalculus curriculum including trigonometry, analytic geometry, logarithms, conics, and vectors. In addition, limits and differential calculus is studied in depth. Students need a TI84 Plus CE graphing calculator.
Text: Precalculus (ISBN: 9780321837349); and Calculus: Graphical, Numerical, Algebraic (ISBN: 9780133311617)
CALCULUS (UMAT121)
CALCULUS (UMAT121)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Precalculus or Honors Precalculus, and recommendation of math department
Homework: Heavy
This course includes a review of polynomials, trigonometric, exponential, and logarithmic functions, followed by discussion of limits, derivatives, and applications of differential calculus to realworld problem areas. An introduction to integration concludes the course. Students need a TI84 Plus CE graphing calculator.
Text: Calculus: Graphical, Numerical, Algebraic (ISBN: 9780133311617)
AP CALCULUS AB (UMAT13)
AP CALCULUS AB (UMAT13)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Honors Precalculus and recommendation of math department
Homework: Heavy
This course is similar to first semester calculus as taught in most U.S. colleges and universities. Topics include differentiation of polynomials, trigonometry, exponential, and logarithmic functions as well as integration techniques and theory. Students are required to take the AP exam at the completion of the course. Students need a TI84 Plus CE graphing calculator.
Text: Calculus: Graphical, Numerical, Algebraic (ISBN: 9780133311617)
AP CALCULUS BC (UMAT14)
AP CALCULUS BC (UMAT14)
Duration: 1 year
Credit: 1
Prerequisites: Successful completion of Honors Precalculus & Differential Calc and recommendation of math department
Homework: Heavy
This course is intended for those students who have good mathematical ability. The course is rigorous and, when combined with the prerequisite, will prepare students for both the AP Calculus BC exam and the IB HL exam. The content is similar to the first two semesters of college calculus as taught in most United States colleges and universities. The Calculus topics covered include integration techniques, polar coordinates, vectors, parametric equations, sequences and series, differential equations and slope fields. Projects that extend the course content will be an integral component of the course. These may be used to meet IB portfolio requirements. Students are required to take either the AP Calculus BC exam or the IB HL exam upon completion of the course. Students need a TI84 Plus CE graphing calculator.
Text: Calculus (ISBN: 9780618503049)
IBHL MATHEMATICS 1 (UMAT15A)
IBHL MATHEMATICS 2 (UMAT15B)
IBHL MATHEMATICS YEAR 1 (UMAT15A)
IBHL MATHEMATICS YEAR 2 (UMAT15B)
Duration: 2 years
Credit: 1 per year
Prerequisites: Successful completion of Honors Advanced Algebra 2 and recommendation of math department
Homework: Heavy
The IB Higher Level Mathematics Syllabus is followed in this two year course. The course is rigorous and consists of trigonometry, analytic geometry, logarithms, conics, vectors, limits, differential calculus, integration techniques, applications of integration, sequences and series, differential equations and slope fields. Portfolio work is a major component of this course. The IB curriculum consists of the following topics: number theory, algebra, vectors, matrices, trigonometry, statistics and probability, as well as calculus. Students are required to take the IB exam upon completion of the course. Students need a TI84 Plus CE graphing calculator.
Texts: Mathematics Higher Level (ISBN: 9781107661738); Calculus (ISBN: 9780618503049)
HONORS DIFFERENTIAL EQUATIONS (UMAT16)
HONORS DIFFERENTIAL EQUATIONS (UMAT16)
Duration: 1 semester, offered in Semester II only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL Year 2 Math and recommendation of math department
Homework: Heavy
This is a universitylevel course for advanced students who have a passion for mathematics. Differential Equations are mathematical formulations that translate the laws of nature; therefore, in order to understand contemporary science and engineering one must understand differential equations and the properties of their solutions.
HONORS LINEAR ALGEBRA (UMAT17)
HONORS LINEAR ALGEBRA (UMAT17)
Duration: 1 semester, offered in Semester I only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL Year 2 Math and recommendation of math department
Homework: Heavy
This is a universitylevel course for advanced students who have a passion for mathematics. Linear Algebra will include topics that are useful in other disciplines; these might include vector spaces, systems of equations, positive definite matrices, determinants, eigenvalues, and similarity.
Text: Linear Algebra (ISBN: 0321287134)
HONORS ADVANCED TOPICS IN MATHEMATICS (UMAT18)
HONORS ADVANCED TOPICS IN MATHEMATICS (UMAT18)
Duration: 1 semester, offered in Semester II only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL Year 2 Math and recommendation of math department
Homework: Heavy
This course is for advanced math students to explore further topics in math such as nonlinear dynamics, partial differential equations, abstract algebra, Fourier series, and complex calculus. The specific course content will be directed by student interest.
HONORS MULTIVARIABLE CALCULUS (UMAT19)
HONORS MULTIVARIABLE CALCULUS (UMAT19)
Duration: 1 semester, offered in Semester I only
Credit: 0.5
Prerequisite: Successful completion of AP Calculus BC or IBHL Year 2 Math and recommendation of math department
Homework: Heavy
This course extends the ideas learned in a single variable calculus course to multiple variables. The course first begins by investigating geometric objects and vectors in three dimensional spaces. It then moves onto extending calculus of a single variable to multiple using the formal definition of limits, derivatives, and integrals. Finally vector calculus and its associated theorems are explored  Gauss’, Stokes’, and Greens’ theorems are used and investigated. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.
MATHEMATICAL MODELING & APPLICATIONS (UMAT122)
MATHEMATICAL MODELING & APPLICATIONS (UMAT122)
Duration: 1 year
Credit: 1
Prerequisite: Successful completion of Algebra 2 and recommendation of math department
Homework: Moderate
It is often noted that we live in a datadriven society. A more accurate description is that we live in an “interpretation of data”driven society. This course is all about how we use mathematics to interpret, analyze, and visualize the data we are confronted with in our daily lives. Students will read, discuss, and write about the use and misuse of statistics in media and politics. Students will design and conduct observational studies and experiments to answer questions of interest. The three philosophies of statistical inference will be explored: Frequentist, Likelihood, and Bayesian. There are a wide variety of disciplines that require an understanding of data analysis. Examples include, but are not limited to, the social sciences (i.e., psychology or sociology), biostatistics, criminology, political science, business, economics, physics, and law. Students need a TI84 Plus CE graphing calculator.