The curriculum is designed to provide:

## General Course Descriptions

### DE Calculus 1 (Syllabus link MTH 122)

Dual enrollment MTH 122 (4 credits) (May be taught in one OR two semesters)
This course includes the study of limits, continuity, derivatives (concept and definition), differentiation techniques, curve sketching, application of differentiation including related rates and optimization, and an introduction to antiderivatives (concept and definition), integration techniques, differential equations, and definite integrals with applications.

### DE Integral Calculus (Calculus 2) (Syllabus link MTH 123)

Dual enrollment MTH 123 (4 credits)
This course includes the study of Riemann Sums, Trapezoidal and Simpson’s Rules, antiderivatives, definite and indefinite integrals (concept and definition), integration techniques, applications of integrals, solving differential equations, parametric equations and polar curves, convergence of sequences and series, and Taylor and Maclaurin Series.

### DE Multivariate Calculus (Calculus 3) (Syllabus link MTH 224)

Dual enrollment MTH 224 (4 credits)
This course 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.

### 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.

### Physics

This course is an advanced level science class exploring the particle and wave nature of everyday phenomena. This physics curriculum includes dimensional analysis, velocity, linear acceleration, Newton’s laws, rotational motion, energy, waves, sound, electricity, and magnetism. Concepts are explored and applied through hands-on laboratories and using computer-based modeling. These investigations require data collection, analysis, and computer simulations that demonstrate the interdisciplinary relations among physics, life sciences, mathematics, and technology. The development of problem solving skills, analytical thinking, and effective communication are also stressed.

Dual enrollment PHY 141 (4 credits) and PHY 142 (4 credits)
This college credit course incorporates basic calculus and vector analysis. The curriculum includes Newtonian mechanics, conservation of energy, fluid mechanics, harmonic motion, circuits, magnetic fields, heat and thermodynamics, light and optics, nuclear physics, and modern physics. Concepts are further explored through inquiry-based laboratories, engineering applications, data analysis, project-based assignments, computational and programming applications using Python, and analysis of physics research.

### DE Human Anatomy & Physiology (Syllabus link BIO 224; Syllabus link BIO 225)

Dual enrollment BIO 224 (4 credits) and BIO 225 (4 credits)
This college-level course presents the study of anatomy & physiology including anatomical terminology, homeostasis, histology, integumentary system, skeletal system, muscular system, and nervous system. Students will explore organ systems as they integrate within an organism and collect physiological data through hands-on lab experiences as well as healthcare professionals from different fields presenting as guest lecturers.

### DE Precalculus (Syllabus link MTH 121)

Dual enrollment MTH 121 (4 credits for the year-long course)
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.

### Research Methods

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.

### Senior Seminar

During the first nine-weeks students participate in a unique mini-course called the Leadership/Teamwork/Communications Design Challenge, or LTCDC. The mini-course is broken into three main sections. The first section teaches students leadership, teamwork, and communication skills through readings, videos, and active medium-size group discussions (about 12 students). The second section helps students implement those skills while working in small groups (about 4 students) through various LEGO design and build challenges. The third section is a design challenge in which the entire senior class works in medium size subgroups (about 8 students) and as a larger single group (about 75 students) to design a well-researched and detailed grant proposal for a scientific mission to a remote location. The LTCDC culminates with a subgroup by subgroup presentation of the proposal. Following the LTCDC, students experience four five-week-long technology labs. In these labs, students explore and use sophisticated technologies choosing from among biotechnology, computer-aided design and 3D printing, desktop publishing, drone technologies, electronics, laser engraving and subtractive engineering, microscopy, microbiology, nuclear science, Python programming, robotics, scientific photography, technologies in sewing, video production, and virtual reality. Students end the seminar with the senior capstone, a six-week forensic science challenge that brings together the LTCDC, mathematics, science, and technology knowledge and skills students have acquired over their time at CVGS.

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