Upon successful completion of the course, students will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and L'Hopial's Rule; state whether a function given by a graph or formula is continuous or differentiable at at given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, and common transcendental functions, compositions thereof, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems and calculate slopes and rates for functions given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using Newton's method; find linear approximations to functions using differentials; verbally restate the meanings of the solutions to applied problems, attaching the appropriate units to the answers; state which parts of a mathematical statement are assumptions, such as hypotheses and which parts are conclusions; find anti-derivatives by changing variables and using tables; and calculate definite integrals.

Upon successful completion of the course, students will be able to: summarize the passage of political thought through the classical, Renaissance, and Enlightenment periods and based on the works of Plato, Aristotle, Machiavelli, Hobbes, Locke, Rousseau, Tocqueville, and Marx; compare and contrast the differences between Plato and Aristotle with regard to their understandings of the nature of the person, ethics, society, citizenship, and governance; explain the historical and intellectual context in which the political thought that helped to develop the modern state came to be; compare and contrast the concepts of justice, freedom, equality, citizenship, and sovereignty in the works of Machiavelli, Hobbes, Locke, and Rousseau; explain the different versions of, and importance of, "the state of nature" to political thought; identify the influences of Hobbes, Locke, and Rousseau on the development of the United States Constitution; summarize the thoughts of Alexis de Tocqueville on the American political landscape, particularly with regard to religion and equality, and why this has importance beyond the American context; explain Karl Marx's world view, with particular regard to his critique of democracy and the modern, politically liberal state; how it came to be; and its fundamental link to capitalism; explain John Stuart Mill's theory on utilitarianism and how he applies it to society and the state.