...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.

**MATH ANALYSIS: dual enrollment MTH 166 (4 credits) and MTH 168 (3 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.

**CALCULUS I: dual enrollment MTH 263 (4 credits) (May be taught in one OR two semesters)**

A college level study of differential calculus; this course includes the study of limits, continuity, derivatives (concept and definition), derivatives of parametric equations and polar curves, differentiation techniques (including inverse trigonometric functions), curve sketching, optimization applications and an introduction to antiderivatives and definite integrals with applications.

**CALCULUS II: dual enrollment MTH 264 (4 credits)**

A college level study of integral calculus, this course includes the study of Riemann Sums, antiderivative, definite and indefinite integrals, integration techniques, applications of integration, solving differential equations, convergence of sequences and series, and Taylor Series.

**CALCULUS III (VECTOR CALCULUS): dual enrollment MTH 265 (4 credits)**

Vector calculus includes vector-valued functions, functions of several variables, vector fields, partial derivatives and multiple integrals. Computational techniques, geometry and theoretical structure, creative problem solving, and proofs are emphasized.

**LINEAR ALGEBRA: dual enrollment MTH 266 (3 credits) (May be taught in one OR two semesters)**

Linear algebra includes systems of equations, matrices, vector spaces, linear transformations, bases, dimension, eigenvalues, eigenvectors, and orthogonality. Computational techniques, geometry and theoretical structure, creative problem solving, and proofs are emphasized.

**HUMAN ANATOMY AND PHYSIOLOGY: dual enrollment BIO 141 (4 credits) and BIO 142 (4 credits)**

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, urinary, reproductive, and lymphatic systems. Students will explore organ systems through the use of interactive modeling and will discuss current medical cases with local health care professionals.

**COMPUTER SCIENCE/PROGRAMMING: dual enrollment CS 201 (4 credits) and CS 202 (4 credits)**

This college level sequence introduces algorithm and problem solving methods and emphasizes structured programming concepts. Students examine constructs for logic control, sequencing statements, input/output, searching and sorting and explore data structures including lists, trees, queues and stacks. This sequence 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.

**PHYSICS**

CVGS physics is a college level introduction using basic calculus and vector analysis to study the particle and wave nature of everyday phenomena. Topics include Newtonian and fluid mechanics, conservation laws, thermodynamics, vibrations and waves, electricity and magnetism, optics, and modern physics. Concepts are explored and applied through hands-on activities and in a computer-based laboratory through investigations requiring data collection and analysis or use of models and computer simulations that show interdisciplinary relationships between physics, life sciences, mathematics, and technology. Development of problem solving, analytical thinking, laboratory, and communication skills is also stressed.

**RESEARCH**

This unique course is 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. The statistical analysis of data is conducted using Microsoft Excel. During the second semester students complete a 36-hour internship.

**CONNECTIONS IN MATHEMATICS **

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

**SENIOR SEMINAR **

Beginning with a six-week engineering design-build-test project, this course then allows students to explore and use sophisticated technologies choosing from among biotechnology, computer-aided design and 3D printing, drone technologies, desktop publishing, electron microscopy, scientific photography, microbiology, nuclear science, robotics, video production, Photoshop, or Leadership, Teamwork, and Communications. The course ends with student teams completing a capstone project that brings math, science, and technology together.