US Mathematics

Geometry:
In Geometry, students will learn the fundamentals of geometry, proofs, parallel and perpendicular lines, applications of congruent triangles, quadrilaterals, similarity, right triangles and trigonometry, circles, polygons and area, surface area and volume, and coordinate geometry.

 

Algebra II:
Algebra II builds on the concepts learned in Algebra I, with fluency on polynomial, exponential, rational and radical functions. Students will analyze the relationship between the equations and graphs of those functions.

 

PreCalculus:
Pre-calculus is the in-depth study of algebra, trigonometry, and other topics for calculus readiness; including algebraic functions and their graphs, inverse functions, polynomial functions, rational and irrational functions, exponential and logarithmic functions, trigonometric functions, inverse trigonometric functions, Law of Sines, Law of Cosines, and analytic geometry.

Advanced Placement PreCalculus:
AP Precalculus is designed to be the equivalent of a first semester college precalculus course. AP Precalculus provides students with an understanding of the concepts of college algebra, trigonometry, and additional topics that prepare students for further college level mathematics courses. This course explores a variety of function types and their applications—polynomial, rational, exponential, logarithmic, trigonometric, polar, parametric, vector-valued, implicitly defined, and linear transformation functions using matrices. Throughout the course, the mathematical practices of procedural and symbolic fluency, multiple representations, and communication and reasoning are developed. Students experience the concepts and skills related to each function type through the lenses of modeling and covariation and engage each function type through their graphical, numerical, analytical, and verbal representations.

Dual-Enrollment Mathematics for Business and Social sciences (MATH 1324):
The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value.

 

Dual-Enrollment Calculus for Business and Social Sciences (MATH 1325): Prerequisite - MATH 1324
Calculus for Business & Social Sciences is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences.

 

Dual-Enrollment Calculus I (MATH 2413): Prerequisite - approved placement test
Calculus I is the study of limits and continuity, the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.

 

Dual-Enrollment Calculus II (MATH 2414): Prerequisite - MATH 2413
Calculus II is the study of differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; and improper integrals.

 

Dual-Enrollment Differential Equations (MATH 2320): Prerequisite - MATH 2414
Differential Equations is the study of ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, and boundary value problems; application of differential equations to real-world problems.

 

Dual-Enrollment Calculus III (MATH 2415): Prerequisite - MATH 2414
Calculus III is the study of advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including Green's Theorem, the Divergence Theorem, and Stokes' Theorem.

 

Advanced Placement Statistics:
The AP Statistics course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes evident in the content, skills, and assessment in the AP Statistics course: exploring data, sampling and experimentation, probability and simulation, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.

 

Personal Finance:
Personal Finance will give students the foundation and knowledge to make sound, informed financial decisions that will allow them to lead financially secure lifestyles and understand personal financial responsibility. This course is designed to be an interactive and project and research-based course. The course will teach students to apply critical-thinking and problem- solving skills to analyze decisions involving earning and spending, saving and investing, credit and borrowing, insuring and protecting, and college and postsecondary education and training.