# Junior Courses

**Junior Course Descriptions****Physics** 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.**Math Analysis** 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 **7 semester credits per year from CVCC.****Calculus of a Single Variable** A college level study of differential and integral calculus. This course includes the study of limits, continuity, derivatives (definition, concepts), differentiation techniques (including inverse trigonometric functions and polar and parametric curves), curve sketching, optimization applications, antiderivatives, definite and indefinite integrals, 1st and 2nd Fundamental Theorem of Calculus, integration techniques, improper integrals, Trapezoidal and Simpson’s Rules, applications of the definite integral including geometry, density, center of mass and work, Infinite Series including Taylor Polynomials, separable differential equations with applications, slope fields, and Euler’s Method. Upon successful completion of the course, students earn **4 semester credits per semester from CVCC. ****Junior Research Course** 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 the study, collect and analyze data, and report the results in paper, PowerPoint, poster board and WWW page formats. During the second semester students complete an internship for twelve Fridays.