# Curriculum & Courses

Short Description of Courses | |
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GMP-I Grade 7 |
Part of the first year is spent accelerating students through standard school and state curricular topics including early concepts in geometry, algebra and probability. These topics are addressed through problems that are solved for homework, discussed in classroom groups and presented by peers. The better part of the year is spent on enriching topics that are unique to GMP and are not addressed thoroughly in a standard pre-college curriculum. These include set theory, operational systems, mappings, and logic. Students will also learn some computer programming and use it as a tool in their mathematical studies. 1 College Credit (optional) can be earned for the course, which is listed in the UB undergraduate catalog as GSE-120: Introduction to Logic.GMP-I Curriculum |

GMP-II Grade 8 |
The second year course is divided into two sections. One section involves accelerating students through standard school and state curricular topics that prepare them for the Algebra I Regents Exam in June. The second section involves enriching topics that are unique to GMP and would not be addressed in a standard pre-college curriculum. The topics fall into two categories: computational mathematics and and function representation. Computational mathematics topics include computational logic and sets. The study of function representations includes study of polynomial, exponential, logarithmic, and trigonometric functions as well as their integrals and derivatives.
2 College Credits (optional) can be earned for the course, which is listed in the UB undergraduate catalog as GSE-121: Logic and Sets.GMP-II Curriculum |

GMP-III Grade 9 |
Our high school freshmen take a geometry course in two sections. The first section involves accelerating students through standard school and state curricular topics that prepare them for the Geometry Regents Exam in June. The second section involves enriching topics that are unique to GMP and would not be addressed thoroughly in a standard pre-college curriculum. These include transformational, analytic, and computational geometry.
1 College Credit (optional) can be earned for the course, which is listed in the UB undergraduate catalog as GSE-122: Analytic Geometry.GMP-III Curriculum |

GMP-IV Grade 10 |
The fourth year of GMP is highly accelerated. The course is equivalent to two high school courses, namely Algebra II/Trigonometry and Precalculus. Topics include (but are not limited to) statistics; sequences; limits; exponential, logarithmic, polynomial, rational and trigonometric functions; complex numbers; and vectors.
2 College Credits (optional) can be earned for the course, which is listed in the UB undergraduate catalog as GSE-123: Relations and Functions.GMP-IV Curriculum |

GMP-V Grade 11 |
Fifth year students take two semesters of college math.
MTH-141: College Calculus I4 College Credits (optional) — Fall only Differentiation and integration with applications MTH-142: College Calculus II4 College Credits (optional) — Spring only and must pass College Calculus I Differentiation and integration of transcendental functions; infinite sequences; series and power series; methods of integration; additional topics in analytic geometry. GMP-V Curriculum |

GMP-VI Grade 12 |
Sixth year students take two semesters of college math.
MTH-241: College Calculus III4 College Credits (optional) — Fall only and must pass College Calculus II Geometry and vectors of n-dimensional space; Greenâ€™s Theorem, Stokesâ€™ Theorem, multidimensional differentiation and integration; application to two and three-dimensional space. MTH-309: Introduction to Linear Algebra4 College Credits (optional) — Spring only and must pass College Calculus II Linear equations, linear transformations, matrices, determinants, vector spaces, eigenvalues and eigenvectors, inner products, orthogonality, quadratic forms. GMP-VI Curriculum |