# Academics

The curriculum is designed to provide:

...an academic program which challenges students to pursue to their fullest potential their interests in mathematics and science.

...opportunities for students to learn the fundamentals of research through participation in research studies and independent projects.

...experiences which allow students to improve their technical skills and develop confidence in their ablilty to use and manage technology.

...experiences which expose students to the application of science, mathematics and technolgy through field studies, internships, trips and telecommunications.

...an environment which fosters independent learning strategies and challenges students to become responsible for their own learning.

**>>>>>>>>>>>> GENERAL COURSE DESCRIPTIONS BELOW >>>>>>>>>>>>>>>**

**Calculus 1 -**

*(0.5 high school credit and 4 or 5 college credits)*

A college level study of differential calculus. This course includes the study of limits, continuity, derivatives of all elementary functions (theory, computations, and applications), and an introduction to antiderivatives and beginning differential equations. Upon successful completion of the course, students earn 4 credits from the Central Virginia Community College:

*CVCC course MTH 173*. (Students taking Calculus 1 as a Junior will receive 1 additional credit due to the inclusion of additional material.)

**Calculus 2 -**

*(0.5 high school credit and 4 college credits)*

A college level study of integral calculus. This course includes the study of indefinite and definite integrals (theory, computations, and applications). Included are the Fundamental Theorem of Calculus, improper integrals, numerical integration techniques and a study of sequences and series including Taylor Series. Upon successful completion of the course, students earn 4 credits from the Central Virginia Community College:

*CVCC course*

*MTH 174*.

**Calculus 3 -**

*(0.5 high school credit and 4 college credits)*

A college level study of multivariable (or vector) calculus. This course includes vector-valued functions, functions of several variables, vector fields, partial derivatives, multiple integrals, line integrals, and generalizations of the Fundamental Theorem (e.g. Green’s Theorem) to line integrals. Theory, computations, and applications are emphasized throughout. Upon successful completion of the course, students earn 4 credits from the Central Virginia Community College:

*CVCC course*

*MTH 277*.

**Computer Science -**

*(1 high school credit and 8 college credits for the year-long course)*

A college level course that introduces algorithm and problem solving methods and emphasizes structured programming concepts. The course examines constructs for logic control, sequencing statements, input/output, searching and sorting and explores data structures including lists, trees, queues and stacks. This course also teaches object oriented programming techniques by making use of methods, classes and objects to demonstrate the object oriented concepts of encapsulation, inheritance, and polymorphism. Upon successful completion of the course, students earn 4 semester credits per semester from Central Virginia Community College:

*CVCC courses*

*CS 201 and CS 202*

*.*

**Connections in Mathematics -**

*(1 high school credit/year)*

This course provides students with introductory experiences in symbolic logic, graph theory, combinatorics and probability, voting schemes and apportionment methods, personal finance, and mathematical proofs. Emphasis is placed on conceptual understanding, solving real world applications, and fostering mathematical reasoning and communication.

**Human Anatomy and Physiology for the Health Sciences -**

*(1 high school credit and 8 college credits for the year-long course)*

This college level course provides an overview of cellular physiology and reviews many human organ systems including the nervous, respiratory, circulatory, digestive, skeletal, endocrine, muscular and urinary systems. Students explore organ systems with the use of interactive modeling and will research current medical issues affecting one of the systems studied. Upon successful completion of the course, students earn 4 semester credits per semester from Central Virginia Community College:

*CVCC course*

*s BIO 141 and BIO 142*

*.*

**Junior Research Course -**

*(1 high school credit/year)*

An introduction to the research process including literature research, project design, elementary statistical analysis, scientific writing and multimedia presentations. Each student completes an individual research project. Students design a study, collect and analyze data, and report the results in paper, PowerPoint, and poster formats. During the second semester students complete a 36-hour internship.

**Linear Algebra -**

*(0.5 high school credit and 3 college credits)*

This college level course includes systems of linear equations, matrices, vector spaces, linear transformations, bases, dimension, eigenvalues, eigenvectors, and orthogonality. Geometry, theory, structure, and creative problem solving are emphasized. Upon successful completion of the course, students earn 3 credits from the Central Virginia Community College:

*CVCC course*

*MTH 285*.

**Math Analysis -**

*(*

*1 high school credit/year & 7 college credits)*

A pre-calculus course that includes an in-depth conceptual analysis of algebraic, polynomial, rational, logarithmic, exponential, and trigonometric functions. Topics include graphical behavior, domains and ranges, roots (real & complex), the first derivative, graphing, application problem solving and data analysis, and an introduction to integration. Parametric equations are presented with a focus on applications and conceptual analysis. Analysis includes required algebraic proofs and/or conceptual explanations in written and oral presentations. Graphing calculators, spreadsheets, and a computer algebra system are used extensively. The study of matrices is included, and optional topics include an introduction to sequences and series. Upon successful completion of the course, students earn 4 semester credits first semester and 3 semester credits second semester from Central Virginia Community College:

*CVCC Courses: MTH 166 and MTH 168*.

**Physics -**

*(1 high school credit/year)*

A college-level introduction using introductory calculus and vectors to study and explore energy and its interactions with matter. Topics include Newtonian and fluid mechanics, conservation laws, thermodynamics, vibrations and waves, electricity, magnetism, light, and non-Newtonian/modern physics. Concepts are explored through technology, modeling, hands-on experimentation, the analysis of data, and the use of reasoning and logic. The course focuses on conceptual understanding and practical application.

**Senior Seminar - **During the first six-weeks period students participate in an engineering design-build-test project with local engineers serving as mentors. For the four additional six-weeks periods students explore and use sophisticated technologies choosing from among biotechnology, 3-D design and printing, desktop publishing, drone technologies, electron microscopy, scientific photography, microbiology, nuclear science, robotics, video production, Photoshop, or iPad Application Programming.