Courses
MATH-100/0, Elementary Algebra
Five class periods. A yearlong course for students who have had little or no algebra. Stress is placed on an understanding of the elementary structure and language of the real number system, on the manipulative skills of simplifying expressions and solving first- and second-degree equations, and on the study and graphing of polynomial functions. Work is done with word problems, inequalities, irrational numbers, and right triangle trigonometry. Prerequisite: none.
MATH-150/4, Elementary Algebra
Five class periods. A two-term course for students who have had some algebra. Stress is placed on the manipulative skills of simplifying expressions and solving first- and second-degree equations, and on the study and graphing of polynomial functions. Work is done with word problems, inequalities, irrational numbers, and right triangle trignometry. Prerequisite: A half to a full year of algebra.
MATH-190, Algebra Review
Five class periods. A course for students who enter with a full year of algebra and who would benefit from a brief review of algebra. Stress is placed on the manipulative skills of simplifying expressions and solving first- and second-degree equations, and on the study and graphing of polynomial functions. Work is done with word problems, inequalities, irrational numbers, and right triangle trigonometry. Prerequisite: A full year of algebra.
MATH-210, Geometry
Five class periods. A course for students who have had a strong ninth-grade algebra course, but little or no geometry. This course is a thorough and systematic presentation of standard synthetic Euclidean geometry. Emphasis is placed on the need for precision and clarity in the writing of formal proofs. Prerequisites: A complete course in elementary algebra and good algebraic skills.
MATH-220, Geometry
Five class periods. This course continues the work of MATH-210, with increased emphasis on the algebraic and numerical aspects of geometry. Prerequisite: MATH-210.
MATH-280/0, Geometry and Precalculus
Five class periods. A yearlong course for extremely able entering students who have completed with distinction an intermediate algebra course but have not completed a yearlong geometry course. The course covers Euclidean geometry (both synthetic and coordinate) and elementary functions. This course completes the diploma requirement and prepares students to enroll in MATH-350 or MATH-380/4. Prerequisite: Credit for one year of elementary algebra and one year of intermediate algebra.
MATH-300/4, Algebra Consolidation
Five class periods. A two-term course primarily for new students who have completed a yearlong geometry course and would benefit from algebra review prior to entering the precalculus sequence. The course begins with a comprehensive review of elementary algebra and concludes with topics in intermediate algebra (as listed in the course description of MATH-320). Students with a (T2) grade of 4 or higher in this course enter MATH-330 in the spring. Students with a (T2) grade of 3 or below in MATH-300/4 enter MATH-320 in the spring.
MATH-320, Precalculus
Five class periods. MATH-320, MATH-330, and MATH-340 are the first three terms of a five-term precalculus sequence that covers material on a wide variety of functions: polynomical, radical, exponential, logarithmic, trigonometric, parametric, polar, and vectors. Returning students will be placed in appropriate term of this sequence based on performance in prior classes. New students will be placed based on their math placement exam scores. Completion of MATH-340 satisfies the diploma requirement.
MATH-330, Precalculus
Five class periods. MATH-320, MATH-330, and MATH-340 are the first three terms of a five-term precalculus sequence that covers material on a wide variety of functions: polynomical, radical, exponential, logarithmic, trigonometric, parametric, polar, and vectors. Returning students will be placed in appropriate term of this sequence based on performance in prior classes. New students will be placed based on their math placement exam scores. Completion of MATH-340 satisfies the diploma requirement.
MATH-340, Precalculus
Five class periods. MATH-320, MATH-330, and MATH-340 are the first three terms of a five-term precalculus sequence that covers material on a wide variety of functions: polynomical, radical, exponential, logarithmic, trigonometric, parametric, polar, and vectors. Returning students will be placed in appropriate term of this sequence based on performance in prior classes. New students will be placed based on their math placement exam scores. Completion of MATH-340 satisfies the diploma requirement.
MATH-350, Precalculus
Five class periods. MATH-350 and MATH-360 are the last two of a five-term precalculus sequence that covers material on a wide variety of functions: polynomial, radical, exponential, logarithmic, trignometric, parametric, polar, and vectors. Returning students will be placed in the appropriate term of this sequence based on performance in prior classes. New students will be placed based on their math placement exam scores.
MATH-360, Precalculus
Five class periods. MATH-350 and MATH-360 are the last two of a five-term precalculus sequence that covers material on a wide variety of functions: polynomial, radical, exponential, logarithmic, trignometric, parametric, polar, and vectors. Returning students will be placed in the appropriate term of this sequence based on performance in prior classes. New students will be placed based on their math placement exam scores.
MATH-380/4, Accelerated Precalculus
This two-term course begins with a review of polynomial and rational functions and proceeds to cover logarithmic, exponential, and trigonometric functions, inverse functions, parametric equations, polar coordinates, vectors, complex numbers, and sequences and series. Upon successful completion of MATH-380/4, students will be ready to study MATH-580. Prerequisite: Successful completion of MATH-280/0 with a grade of 4 or higher or placement by the department.
MATH-400, Elementary Functions II
Five class periods. A course primarily for entering Seniors who need to satisfy the diploma requirements in mathematics. The course focuses on functions and their applications, including polynomial, exponential, logarithmic, circular, and trigonometric functions. Strong emphasis is placed on graphing and the use of graphs as an aid in problem solving. Prerequisite: Credit for three years of high school mathematics or permission of the department.
MATH-410, Probability
Four class periods. Includes sample spaces, counting problems, sampling, conditional probability, random variables, expected value, variance, standard deviation, binomial and normal distributions. The computer is used on applications that are too time-consuming to perform by hand and to simulate experiments for which there are no models. Prerequisite: MATH-350 or its equivalent.
MATH-470, Introduction to Discrete Mathematics And Programming
Five class periods. This course blends a study of programming (using the Python programming language) with mathematics relevant to computer science. Students learn how to design simple algorithms and write and test short programs in Python. The course covers Python syntax and style, as well as data types, conditional statements, iterations (loops), and recursion. Selected mathematical topics include sets, number systems, Boolean algebra, counting, and probability. A grade of 4 or higher in this course qualifies a student for COMP-500(AP Computer Science I). Prerequisite: MATH-210 or higher, or permission of the department.
MATH-480, Analytic Geometry
Four class periods. This course is an extension of earlier work on lines and curves in the plane. It includes extended locus problems and further study of the conic sections: parabolas, ellipses, and hyperbolas, and their simple rotations. The course includes an introduction to the algebraic description of three-space: vectors, curves, planes, simple surfaces, and their intersections. Prerequisite: MATH-360 or its equivalent.
MATH-500/5, Advanced Mathematics
A two-term commitment. Four class periods. Primarily for Seniors, but open to other students who want to continue the study of functions and get an introduction to calculus. The calculus topics will include limits, problems of optimization, rates of change, areas under curves, and lengths of curves. Prerequisite: MATH-360, MATH-400, or an equivalent course in trigonometry and elementary functions.
MATH-510, Calculus
Five class periods. Primarily for Seniors. Topics covered include a review of functions and graphing, limits, continuity, determination of derivatives and integrals from graphs of functions (not from their formal definitions). Prerequisite: MATH-360 or its equivalent, or MATH-500.
MATH-520/5, Calculus
A two-term commitment. Five class periods. This is a continuation of MATH-510. Topics covered include the definite integral, the Fundamental Theorem of Calculus, further differentiation of functions, techniques and applications of integration. The most successful students will be in a position to do the AB Advanced Placement examination in calculus. Prerequisite: A grade of 3 or higher in MATH-510 or permission of the department.
MATH-530, AP Statistics I
Five class periods. The first term of a yearlong sequence that prepares for the Advanced Placement Examination in Statistics. This term primarily covers the exploratory analysis of data, making use of graphical and numerical techniques to study patterns, and developing plans for data collection of valid information. Prerequisite: MATH-360 or permission of the department.
MATH-530/5, AP Statistics II
A two-term commitment. Five class periods. A continuation of MATH-530, finishing the syllabus for the Advanced Placement examination in May. Topics include probability as the tool for producing models, random variables, independence, normal distribution, simulation, sampling, statistical inference, confidence intervals, and tests of significance. Prerequisite: A grade of 3 or higher in MATH-530.
MATH-560, AP AB Calculus I
Five class periods. This is the beginning of the four-term calculus sequence that, together with MATH-570, covers the syllabus of the AB Advanced Placement examination. This term focuses primarily on differential calculus: limits, continuity, derivatives, and applications of derivatives. Some integral calculus may be covered if time permits. Graphical, numerical, and analytic methods will be used throughout the course. Prerequisite: MATH-360 or its equivalent, with no grade lower than a 3 in MATH-340, 350 and 360.
MATH-570, AP AB Calculus II
Five class periods. This course continues the work of MATH-560 in preparation for the AB Advanced Placement examination. Topics include integration and applications of integral calculus. Prerequisite: MATH-560 completed with at least a 3 or MATH-580.
MATH-570/5, AP AB Calculus (II)
Five class periods. A continuation of Mathematics 570, finishing the syllabus for the AB Advanced Placement Examination. Prerequisite: Mathematics 570 completed with at least a 3 or Mathematics 590.
MATH-575/0, AP Accelerated AB Calculus
Five class periods. A yearlong course in calculus that begins only in the fall. Satisfactory completion of this course prepares students for the College Board AB Advanced Placement examination. This course does not prepare students for MATH-650. This course may require more than the standard four to five hours of homework per week. Prerequisite: MATH-360 or its equivalent, with no grade lower than a 4 in MATH-340, 350, and 360. Those students who do not meet this requirement should take either MATH-510 or 560.
MATH-580, AP BC Calculus I
Five class periods. This is the beginning of a four-term calculus sequence recommended for students who are well prepared in precalculus. With MATH-590 it covers the syllabus of the BC Calculus Advanced Placement examination. Topics covered include primarily differential calculus: limits, continuity, derivatives, the Chain Rule, related rates, and the Mean Value Theorem. Some integral calculus is also covered. Graphical, numerical, and analytic methods are used throughout the course. Prerequisite: MATH-360 or its equivalent, with no grade lower than a 4 in MATH-340, 350, and 360. Those students who do not meet this requirement should take either MATH-510 or 560.
MATH-590, AP BC Calculus II
Five class periods. This course continues the work of MATH-580 in preparation for the BC Advanced Placement examination. Topics include integration and applications of integral calculus. Prerequisite: MATH-580 completed with a grade of at least a 4 or departmental permission.
MATH-590/5, AP BC Calculus II
A two-term commitment. Five class periods. A continuation of MATH-590, finishing the syllabus for the BC Advanced Placement examination. Prerequisite: MATH-590 completed with a grade of 3 or better.
MATH-595/0, AP Accelerated BC Calculus
Five class periods. A yearlong course in calculus that begins only in the fall. Enrollment is limited to the most able mathematics students. Satisfactory completion of this course prepares students for the College Board BC Advanced Placement examination. This course may require more than the standard four to five hours per week of homework. In order to qualify for this course, returning students must perform satisfactorily on a special precalculus qualifying examination given the previous spring term. Prerequisite: MATH-360 or its equivalent, with no grade lower than a 5 in MATH-340, 350, and 360, plus departmental permission and demonstrated excellence on entrance tests.
MATH-630/1, Honors Mathematics Seminar
Four class periods. Each term's seminar will be devoted to one topic, which will be developed in depth. The term's topic will be announced the previous term and might be: Topics in the History of Mathematics; Numerical Methods and Approximations; Non-Linear Dynamical Systems -Instability, Chaos, and Fractals; Complex Analysis; Abstract Algebra-Groups, Rings, and Fields; Mathematical Models in the World Around Us; Topics in Discrete Mathematics; or Number Theory. Participants need to be prepared to work on one topic in great detail and, in some seminars, to work as part of a team on the solution of problems. Prerequisite: Three terms of calculus or departmental permission.
MATH-630/2, Honors Mathematics Seminar
Four class periods. Each term's seminar will be devoted to one topic, which will be developed in depth. The term's topic will be announced the previous term and might be: Topics in the History of Mathematics; Numerical Methods and Approximations; Non-Linear Dynamical Systems -Instability, Chaos, and Fractals; Complex Analysis; Abstract Algebra-Groups, Rings, and Fields; Mathematical Models in the World Around Us; Topics in Discrete Mathematics; or Number Theory. Participants need to be prepared to work on one topic in great detail and, in some seminars, to work as part of a team on the solution of problems. Prerequisite: Three terms of calculus or departmental permission.
MATH-630/3, Honors Mathematics Seminar
Four class periods. Each term's seminar will be devoted to one topic, which will be developed in depth. The term's topic will be announced the previous term and might be: Topics in the History of Mathematics; Numerical Methods and Approximations; Non-Linear Dynamical Systems -Instability, Chaos, and Fractals; Complex Analysis; Abstract Algebra-Groups, Rings, and Fields; Mathematical Models in the World Around Us; Topics in Discrete Mathematics; or Number Theory. Participants need to be prepared to work on one topic in great detail and, in some seminars, to work as part of a team on the solution of problems. Prerequisite: Three terms of calculus or departmental permission.
MATH-650, Linear Algebra
Four class periods. For students of demonstrated ability and interest. Topics include vectors, lines, and planes in space, and an introduction to linear algebra, including solving systems of linear equations using row reduction, Gaussian elimination, LU decomposition, matrices, vector spaces, and applications. There will be an emphasis on proofs throughout. Prerequisite: MATH-590/5 or MATH-595/0, and departmental permission.
MATH-651/5, Linear Algebra
Four class periods. A continuation of MATH-650 with more focus on vector spaces and linear independence. Other topics include eigenvalues including complex eigenvalues, eigenvectors, discrete dynamical systems, the Gram-Schmidt process for finding orthogonal bases, least squares models, linear transformations, symmetric matrices, and change of basis. There will be an emphasis on proofs throughout. Applications will illuminate the theory and will be chosen with the interests of the students in the course. Prerequisite: MATH-650.
MATH-661, Calculus of Vector Functions
Four class periods. This course covers functions of many variables, partial differentiation, gradients, vectors, vector valued function, multiple integration and its applications, line integrals, Green146s Theorem, and Stoke146s Theorem. Prerequisite: Mathematics 650.
MATH-661/5, Calculus of Vector Functions
Four class periods. This course covers functions of many variables, partial differentiation, gradients, vectors, vector valued function, multiple integration and its applications, line integrals, Green's Theorem, and Stoke's Theorem. Prerequisite: MATH-650.