Page 23 - Electives Offerings 2022-2023_Neat

MATH ELECTIVES

Advanced Calculus II*: Topics include integral evaluation, limits of sequences, application of function concepts, application
of polar coordinates, L’Hospital’s Rule, Pappus’s Theorem on the surface area, application of Taylor’s Theorem, MacLaurin
series, differentiation and integration of power series, three-dimensional coordinate geometry, vectors, and vector calculus.
This course is equivalent to one semester of college calculus II. Students are eligible to take the AP Calculus BC exam
upon completion of this course.
*Prerequisite: Successful completion of AP Calculus AB is required.

AP Calculus BC*: The course emphasizes a multi-representational approach to calculus with concepts, results, and
problems being expressed graphically, numerically, analytically, and verbally. Teaching and learning will focus on the
following Mathematical concepts: Functions, Graphs, and Limits; Analysis of graphs; Limits of functions (including one-
sided limits); Asymptotic and unbounded behavior; Continuity as a property of functions; Parametric, polar, and vector
functions; Concept of the derivative; Derivative at a point; Derivative as a function; Second derivatives; Applications of
derivatives; Computation of derivatives; Interpretations and properties of definite integrals; Applications of integrals;
Fundamental Theorem of Calculus; Techniques of antidifferentiation; Applications of antidifferentiation; Numerical
approximations to definite integrals; Polynomial Approximations and Series; Concept of series; Series of constants; and
Taylor series. The objectives for this course follow the College Board syllabus and prepare students for the optional
Advanced Placement exam. This course is equivalent to two semesters of college calculus I & II.
*Prerequisite: Successful completion of Accelerated PreCalculus is required.

Multivariable Calculus*: Topics include three-dimensional coordinate geometry; matrices and determinants; eigenvalues
and eigenvectors of matrices; limits and continuity of functions with two independent variables; partial differentiation;
multiple integrations; the gradient; the divergence; the curl; Theorems of Green, Stokes, and Gauss; line integrals; integrals
independent of the path; and linear first-order differential equations.
*Prerequisite: Successful completion of AP Calculus BC is required.

Georgia Tech Calculus*: The course is delivered via live video from Georgia Tech to MCHS. Students will take Linear
Algebra (Calculus) and Multivariable Calculus. This program has academic requirements to be considered and admission is
very selective. See Georgia Tech website for more information: https://admission.gatech.edu/dualenrollment/distance-
math-and-science-programs.
*Prerequisite: Successful completion of AP Calculus BC, at least a 4 on the AP Calculus BC exam, additional GPA,
Math GPA and SAT/ACT scores set by Georgia Tech, and Georgia Tech admission acceptance are required.

Algebra I Strategies*: This course is designed to support students in resource math with mastering the
Algebra I concepts. The course is focused on providing additional time during the day to learn and understand
the required AKS. Algebra I Strategies counts as a general elective credit.
*Only students with an IEP may take this course. Case manager approval is required.

Geometry Strategies*: This course is designed to support students in resource math with mastering the
Geometry concepts. The course is focused on providing additional time during the day to learn and
understand the required AKS. Geometry Strategies counts as a general elective credit.
*Only students with an IEP may take this course. Case manager approval is required.