This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinating subject with many ties between the diverse mathematical disciplines. The present volume examines many of the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. Shabloni bukletov dlya publisher download. Contents Geometry and geometric ideas Isometries in Euclidean vector spaces and their classification in ℝ n The conic sections in the Euclidean plane Special groups of planar isometries Graph theory and platonic solids Linear fractional transformation and planar hyperbolic geometry Combinatorics and combinatorial problems Finite probability theory and Bayesian analysis Boolean lattices, Boolean algebras and Stone’s theorem Details.
Contents • • • • • • • • • • • • • • • Algebra 1 • 9th grade • Required • Two Semesters • Prerequisites: Completion of Pre-Algebra or 8 th Grade Math Algebra is the foundation of all mathematics to follow. Students will study the following topic areas: number systems and number sense; expressions, equations, and inequalities; functions; linear functions; quadratic equations and functions; exponential and log functions, and polynomial functions. This course improves a student’s development of problem-solving skills and effective communication of possible solutions. Geometry • 10th grade • Required • Two Semesters • Prerequisite: Successful completion (D- or better) of both Algebra 1A and 1B Geometry is the second year in the required mathematics program of study. Students will study the following topics: mathematical reasoning and proof; lines and angles; triangles and trigonometry; quadrilaterals; circles; solids, and transformations. Emphasis will be on both plane (two-dimensional) and solid (three-dimensional) geometry, and students will advance their understanding of the relationships between algebra and geometry in problem solving.
R 12 = f(a 1,a 2)ja 1 is similar to a 2g. We write a 1 ˘ a. Math 42, Discrete Mathematics Richard.P Kubelka San Jose State University Relations & Their.
Algebra 2 • 11th grade • Required • Two Semesters • Prerequisite: Geometry Algebra II – A&B is a one-credit, two-semester course that will further develop and reinforce algebraic and geometric concepts, continuing the required sequence in mathematics study. Students will focus on the following topics: polynomials; functions; trigonometric functions; systems; matrices; sequences and series; counting principles and probability; and statistics. Students will gain an in-depth understanding of problem solving and sound mathematical communication of ideas. Algebra 2 (STEM) • 9th - 11th grade • Required • Two Semesters • Prerequisite: Successful completion of Algebra 1 and Geometry, Teacher Recommendation, and a strong desire to continue on with advanced mathematics courses (including, but not limited to: Advanced Math (Pre-calc), IB Math SL, AP Statistics, AP Calculus, AP Physics, AP Chemistry, IB Physics, IB Chemistry) Algebra 2 STEM is a one-credit, two-semester course that will further develop and reinforce algebraic and geometric concepts, continuing the required sequence in mathematics study.
Students will focus on the following topics: polynomials; functions; trigonometric functions; systems; sequences and series; exponential and logarithmic functions; vectors; rational functions; and statistics. Students will gain an in-depth understanding of problem solving and sound mathematical communication of ideas. Students will be expected to complete various cross-curricular projects throughout the school year. Algebra 2A Extended (Parts 1 and 2) and Algebra 2B Extended (Parts 3 and 4) • 11th grade • Required • Four Semesters • Prerequisite: Geometry and teacher-parent recommendation. Algebra 2 Extended – is a two-credit, four-semester course that will further develop and reinforce algebraic and geometric concepts, continuing the required sequence in mathematics study.