##### Course Descriptions

**Pre-Calculus (1 credit, single mod)**

Pre-Calculus is designed for students who have successfully completed Trigonometry. The course includes analytical geometry, an intense review of trigonometry and its applications, polar equations, derivatives, rational logarithmic, exponential and polynomial functions and sequences and series.

**Pre-Calculus Honors (1 credit, single mod)**

Pre-Calculus Honors is a full year, single mod class. The course is taught as a preparation for AP Calculus for Science and Tech students and is a minimum requirement for Science and Tech students. Above average grades in Algebra 2 Trig or Trig Honors is required. Topics included are trigonometry through polar equations, sequences and series, limit proofs, derivatives as applied to slope, velocity, and acceleration, integrals as applied to area under a curve and volumes of revolution, and function analysis including polynomial, rational, algebraic, exponential and logarithmic functions.

**Computer Science (1 credit, single mod)+**

Computer Science is designed to be an introductory course to the field of computer science. It emphasizes programming methodology and procedural abstractions. It also includes the study of algorithms, data structures, and data abstractions in the Pascal and Assembly Languages. It is a pre-requisite course for AP Computer Science. Students taking this course should have completed Algebra 2 or completed a programming course and obtain the permission of the instructor.

**AP Computer Science (1 credit, single mod)=**

AP Computer Science is intended to serve both as an introductory course for computer science majors and as a substantial service course for people who will major in other disciplines that require significant involvement with computing. Computer science encompasses the collection of technical skills and scientific methodologies bringing to bear on the creation of high-quality computer-based solutions to real problems. The primary purpose of the course is to provide students with conceptual background in computing and computer science, with specific skills being taught in so far as they aid students in acquiring this background, and in developing an ability to apply general concepts. The AP Computer Science A/AB Examination will require knowledge of the programming language C++. Students who are entering this course must have taken Computer Science or some programming course and have the approval of the instructor.

**AP Statistics (1 credit, single mod)**

AP Statistics introduces the student to the major topics of exploring data, planning a study (deciding what and how to measure), anticipating patterns (introducing probability and simulation) and statistical inference. A calculator with graphical and statistical capabilities is required (TI-83+ recommended). The graphical capabilities should include displays such as histograms, box plots and scatter plots. Statistical capabilities should include univariate and bivariate summaries and inferential testing. The prerequisite of Pre-Calculus and teacher recommendation are needed.

**AP Calculus (1 credit, single mod)**

AP Calculus is a college level class that covers topics in differential and integral calculus and is comparable to 2 semesters of college calculus. This course is rigorous, culmination in the AP exam. It is essential that students considering this course have a minimum of a B in Pre-Calculus Honors. A strong desire to learn and a serious time commitment are essential for success. This course provides the mathematical foundation for advanced studies in mathematics, physics and engineering. The TI-83+ calculator, or any approved calculator, is required. AP Calculus AB offers a possible semester credit on the college level and AP Calculus BC offers a possible 2 semesters credit on the college level.

**Calculus 3 (.5 credit, zero period)**

This course provides the mathematical foundation for advanced studies in mathematics, physics and engineering. Vectors, vector function, partial derivatives, directional derivatives, max-min of several variables, multiple integration, volume integrals, surface integrals, line integrals, Green’s Theorem, the Divergence Theorem, and Stokes theorem. Students earn math credits from Catholic University, fee required. Applications are available in the S/T Office. The prerequisite is AP Calculus BC.

**Concurrent Enrollment: Calculus 3 (.5 credit, zero period)**

This course provides the mathematical foundation for advanced studies in mathematics, physics and engineering. Vectors, vector function, partial derivatives, directional derivatives, max-min of several variables, multiple integration, volume integrals, surface integrals, line integrals, Green’s Theorem, the Divergence Theorem, and Stokes theorem. Students earn math credits from Catholic University, fee required. Applications are available in the S/T Office. The prerequisite is AP Calculus BC.

**Concurrent Enrollment: Differential Equations (.5 credit, zero period)**

This course is an introduction to ordinary differential equations. Topics include solutions of differential equations of the following types: first order linear, homogeneous, separable, exact, Bernoulli, Cauchy, higher order with constant coefficients and systems. Methods of solution include: undetermined coefficients, variations of parameters, series solutions, Eigenvalue method, Matrix methods and Laplace Transforms. Applications include mechanics, electricity, populations, and vibrations. Students earn math credits from Catholic University, fee required. Applications are available in the S/T Office. The prerequisite is Calculus 3.

**Differential Equations (.5 credit, zero period)**

This course is an introduction to ordinary differential equations. Topics include solutions of differential equations of the following types: first order linear, homogeneous, separable, exact, Bernoulli, Cauchy, higher order with constant coefficients and systems. Methods of solution include: undetermined coefficients, variations of parameters, series solutions, Eigenvalue method, Matrix methods and Laplace Transforms. Applications include mechanics, electricity, populations, and vibrations. Students earn math credits from Catholic University, fee required. Applications are available in the S/T Office. The prerequisite is Calculus 3.

**SNAP (Student Network Administration Project)**

Computer maintenance and LAN Management – Grades 11-12

Prerequisite