# Junior Courses

**Junior Course Descriptions**

**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.)

**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.

**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.