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.

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

• 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

• Linear Algebra and Its Analysis

• 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

Haese Mathematics Core Topics HL

Haese Mathematics Analysis and Approaches HL

• Grades 11 & 12

• Most recommended for students coming from AP Calculus AB (with a score 4 or 5) or exceptional Pre-Calculus grades in 10th grade

• Teacher Recommendation

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