TGS HS Course Guide 25-26 - landscape

Multivariable Calculus Semester - 0.5 credit Prerequisite: Minimum grade of B in BC Calculus; Instructor Approval This course explores calculus in multiple dimensions. Topics include partial derivatives, multiple integrals, vector calculus, and applications of Green's, Stokes', and Gauss' theorems. Students analyze scalar and vector-valued functions, focusing on optimization and geometric interpretations.

Calculus Honors Year - 1 credit

Prerequisite: Minimum grade of B in Precalculus Honors; Instructor Approval

This course is designed to prepare students for AP Calculus. This course covers fundamental calculus concepts, including limits, derivatives, and integrals, with a strong emphasis on problem-solving and real-world applications. Students will develop a deep understanding of mathematical reasoning and strengthen their algebraic and analytical skills. This rigorous course serves as a bridge between Precalculus and AP Calculus, providing a solid foundation for success in higher- level math courses.

AP Calculus BC Year - 1 credit Prerequisite: Minimum grade of B in Calculus Honors; Instructor Approval

Linear Algebra Semester - 0.5 credit Prerequisite: Minimum grade of B in BC Calculus; Instructor Approval Linear Algebra covers the study of vector spaces, matrices, and linear transformations. Key topics include solving linear systems, eigenvalues and eigenvectors, diagonalization, orthogonality, and applications to geometry and science. Emphasis is placed on abstract concepts and problem-solving techniques. Differential Equations Semester - 0.5 credit Prerequisite: Minimum grade of B in BC Calculus; Instructor Approval This course introduces ordinary differential equations (ODEs) and their applications. Topics include first- and higher-order equations, Laplace transforms, numerical methods, and systems of differential equations. Students learn to solve equations analytically and numerically while applying them to real-world problems like population models and mechanical vibrations1

AP Calculus BC is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions.

AP Statistics Year - 1 credit Prerequisite: Minimum grade of B in Precalculus Honors; Instructor Approval AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data- based predictions, decisions, and conclusions

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