Prerequisites: C or better in Algebra 2 and recommendation of the current mathematics teacher

This course focuses on the study of trigonometry, an understanding of which is necessary for the study of calculus. It is designed for qualified juniors and seniors and provides an excellent opportunity for students to examine the behavior of different types of functions. In addition, the logical sequence of trigonometric problems helps students to understand the structure of advanced mathematics.

Topics include: Circular Functions, Graphs of Circular Functions, Trigonometric Functions, Angle Measure, Properties of Circular and Trigonometric Functions, Inverse Trigonometric Functions, Complex Numbers, and Solving Triangles.

Prerequisites: C or better in Trigonometry and recommendation of the current mathematics teacher

This course focuses on analysis and is intended to prepare students for the study of calculus. It is expected that a mastery of algebra, geometry and trigonometry has been attained prior to the election of this course.

Topics include: Sequences and Series, Relations and Functions, Limits and Continuity, Derivatives of Polynomial Functions, Graphing of Polynomial Functions, and Exponential and Logarithmic Functions.

Prerequisites: B or better in both Algebra 2 (Honors) and Geometry (Honors) and recommendation of the current mathematics teacher

This course is sequential to Geometry (Honors). A solid mastery of algebra and geometry is expected since the concepts studied in this course will be both complex and abstract. As the title implies, this course will prepare students for the study of calculus.

Topics to be analyzed are: trigonometric functions, circular functions, inverse circular functions, properties of trigonometric functions, sinusoids, the complex number system, sequences and series, infinite series, limits, polynomial functions, inductive proof, exponential and logarithmic functions, differential calculus, and additional topics as time allows. The introduction to differential calculus will be extensive.

Prerequisites: C or better in Analysis or Pre-Calculus and recommendation of the current mathematics teacher

Calculus is offered to college bound students who have demonstrated successful mastery of the recommended mathematics sequence of Algebra 1, Algebra 2, Geometry, Trigonometry and Analysis or Pre-Calculus.

The course provides students with experience in the methods of differential and integral calculus. The field of inquiry includes: topics of analysis, differentiation, applications of differentiation, integration, applications of integration, and logarithmic and exponential functions. Additional topics will be included as time permits.

The study of calculus includes both differential and integral topics. This course is analytical and requires a background of algebra, geometry, and pre-calculus. Students will be introduced to the methods of differentiation, the techniques of differentiation, and the applications of differentiation. As a part of this aspect of the course, students will become familiar with the concepts of limits, functions, and continuity. The integration portion of the course will explore methods and techniques of integration as well as applications of integration. In addition, students will be required to use a TI-83 graphing calculator in this course.

Topics include: Limits and Continuity, Inverse Functions, Exponential Functions, Logarithmic Functions, Differentiation, Techniques of Differentiation, Applications of Differentiation, Integration, Techniques of Integration, and Applications of Integration. Additional topics will be presented as time allows.

This course will prepare students to take the Advanced Placement Calculus BC exam. Topics from AB Calculus will be reviewed and expanded upon. New topics to be covered include parametric, polar, and vector functions and the calculus related thereto, advanced techniques of integration, including integration by parts, the method of partial fractions, and trigonometric substitution, improper integrals, advanced applications of L’Hopital’s Rule, determination of the length of a curve, work, slope fields, solving differential equations including those of a logistic nature, Euler’s method, advanced determinations of volume, and polynomial approximations and series including general concepts of series, series of constants, and Taylor and Maclaurin series. Multivariable calculus will be introduced as time allows. This course is offered when possible.