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IB Applications and Interpretations HL

Two-year rigorous integrated college-level course for prospective STEM major students, with emphasis on modeling, applied linear algebra and statistics. Specifically recommended for STEM majors with a heavy focus on applied math skills: computer engineering, organic chemistry, applied physics, or any other engineering majors in the science field.

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Applications and Interpretation focuses more on synthetic, applied mathematics. In HL, students are introduced to various topics in advanced statistics and probability, graph theory, applied linear algebra, and differential equations.

Learning Content

Textbook

  • Reviews of Pre-Calculus

  • Approximations and Error

  • Loans and Annuities

  • Modeling and Non-Linear Modeling

  • Direct and Inverse Variation

  • Bivariate Statistics

  • Vectors and Vector Applications

  • Introductory Complex Numbers

  • Matrices (Applied Linear Algebra)

  • Eigenvalues and Eigenvectors (Applied Linear Algebra)

  • Affine Transformations

  • Graph Theory

  • Voronoi Diagrams

  • Differential and Integral Calculus

  • Differential Equations and Coupled Differential Equations

  • Kinematics

  • Discrete Random Variables with Poisson Distribution

  • Normal Distributions

  • Estimation and Confidence Intervals

  • Hypothesis Testing and Chi-Square Hypothesis Tests

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SJS Prerequisite for IB AI HL

  • Grades 11 & 12

  • Pre-Calculus (93% or higher of Pre-Calc / preferably 4 or higher on AP Calc AB if coming from AB)

  • Teacher Recommendation

  • HIGHLY recommended to take AP Calculus AB concurrently in junior year, if coming from Pre-Calc

©2022 by Ms. Lee, St. John's School, Guam

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