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IB Analysis and Approaches HL

Two-year rigorous integrated college-level course for prospective STEM major students, with emphasis on algebraic methods and mathematical thinking. Specifically recommended for STEM majors with a heavy focus on abstract mathematics and reasoning: theoretical physics, pure mathematics, computer science, engineering, etc.

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Analysis and Approaches focuses more on analytic, abstract mathematics. In HL, students are introduced to theories, analysis, and reasoning in different areas in mathematics.

Learning Content

Textbook

  • Reviews of Pre-Calculus

  • Complex Numbers and Theories

  • Binomial Theorem for Exponents in Different Number Fields

  • Reasoning and Different Techniques of Proofs

  • Principle of  Mathematical Induction

  • Introductory Linear Algebra

  • Vectors and Vector Applications

  • Limits

  • Differential and Integral Calculus

  • Kinematics

  • Maclaurin Series

  • Differential Equations

  • Euler's Method

  • Homogeneous Differential Equations

  • Analytic Bivariate Statistics

  • Discrete Random Variables

  • Continuous Random Variables

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SJS Prerequisite for IB AA HL

  • Grades 11 & 12

  • Pre-Calculus (94% 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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