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Fairmont Prep Course Catalog

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MATHEMATICS 2075: Multivariable Calculus (H)* CSUF Math 250A* 5 credits per semester, 4 units Prerequisite: B or better in Calculus BC or B or better in IB Math HL 2084: Mathematical Structures (H)* CSUF Math 270A* 5 credits per semester, 3 units Prerequisite: B or AP Calculus BC and Multivariable Calculus This is a semester course on the study of Calculus as it applies to multivariable functions. Topics will include partial derivatives, multiple integrals with applications, parametric curves, vectors, and vector-valued functions. The course is designed to give students a strong understanding and background for future success in science, engineering, and mathematics. This one semester course will study fundamental discrete mathematical concepts and techniques needed in computer-related disciplines. Topics include logic, truth tables, elementary set theory, proof techniques, and combinatory. The course is designed to give students a strong understanding and background for future success in science, engineering, and mathematics. 2081: Introduction to Differential Equations and Linear Algebra (H)* CSUF Math 250B* 5 credits per semester, 4 units Prerequisite: B or better in Multivariable Calculus and Mathematical Structures 7051: AP Computer Science A* 5 credits per semester Prerequisite: None Grade level: 9th-12th AP Computer Science A is both a college-prep course for potential computer science majors and a foundation course for students planning to study in other technical fields such as engineering, physics, chemistry, and geology. The courses emphasizes programming methodology, procedural abstraction, and an in-depth study of algorithms, data structures, and data abstractions, as well as a detailed examination of a large case study program. Instruction includes preparation for the AP Computer Science A Exam. This one semester course is an introduction to the solutions of ordinary differential equations and their relationship to linear algebra. Topics include first order differential equations, matrix algebra, Gaussian elimination, determinants and applications, systems of linear equations, vector spaces, and linear independence. The course is designed to give students a strong understanding and background for future success in science, engineering, and mathematics. 2083: Introduction to Differential Equations and Linear Algebra II (H)* 5 credits per semester, 3 units Prerequisite: B or better in Intro to Differential Equations and Linear Algebra 2040: Algebra II/Pre-Calculus (H)* 5 credits per semester Prerequisite: A in Geometry (H) and Department Approval Grade levels: 9th-12th This one semester course will continue the study of differential equations, linear algebra, and their relationships. Topics include linear transformations, Eigenvalues/Eigenvectors, linear differential equations of order n, systems of differential equations, and series solutions to linear differential equations. The course is designed to give students a strong understanding and background for future success in science, engineering, and mathematics. FAIRMONT PREPARATORY ACADEMY This is a combined algebra 2/trigonometry and precalculus course. It will cover traditional algebra 2/trig and pre-calculus topics including including functions, quadratics, polynomial and rational functions, quick sketches, conic sections, exponential and logarithmic functions, trigonometry, trigonometric identities, and trigonometric applications. The calculus portion of the course includes limits, continuity, and derivatives. 14

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