Calculus AB

      • Explore the concepts, methods, and applications of differential and integral calculus. You’ll work to understand the theoretical basis and solve problems by applying your knowledge and skills. 

        Skills You’ll Learn:

        • Determining expressions and values using mathematical procedures and rules
        • Connecting representations
        • Justifying reasoning and solutions
        • Using correct notation, language, and mathematical conventions to communicate results or solutions

        Equivalency and Prerequisites:

        College Course Equivalent

        Recommended Prerequisites

        A first-semester college calculus course devoted to topics in differential and integral calculus

        You should have successfully completed courses in which you studied algebra, geometry, trigonometry, analytic geometry, and elementary functions. In particular, you should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions and know-how to graph these functions and solve equations involving them. You should also be familiar with algebraic transformations, combinations, compositions, and inverses for general functions.

         

      Calculus BC

      • Explore the concepts, methods, and applications of differential and integral calculus, including topics such as parametric, polar, and vector functions, and series. You’ll perform experiments and investigations and solve problems by applying your knowledge and skills.

        Skills You’ll Learn:

        • Determining expressions and values using mathematical procedures and rules
        • Connecting representations
        • Justifying reasoning and solutions
        • Using correct notation, language, and mathematical conventions to communicate results or solutions

        Equivalency and Prerequisites:

        College Course Equivalent

        Recommended Prerequisites 

        A first-semester college calculus course and the subsequent single-variable calculus course

        You should have successfully completed courses in which you studied algebra, geometry, trigonometry, analytic geometry, and elementary functions. In particular, you should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions, as well as sequences, series, and polar equations. You should know how to graph these functions and solve equations involving them. You should also be familiar with algebraic transformations, combinations, compositions, and inverses for general functions.

      Statistics

      • Learn about the major concepts and tools used for collecting, analyzing, and drawing conclusions from data. You’ll explore statistics through discussion and activities, and you'll design surveys and experiments.

        Skills You’ll Learn:

        • Selecting methods for collecting or analyzing data
        • Describing patterns, trends, associations, and relationships in data
        • Using probability and simulation to describe probability distributions and define uncertainty in statistical inference
        • Using statistical reasoning to draw appropriate conclusions and justify claims

        Equivalency and Prerequisites:

        College Course Equivalent

        Recommended Prerequisites 

        A one-semester, introductory, non-calculus-based college course in statistics

        A second-year course in algebra

         
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      Last Modified on August 28, 2023