Basic concepts of linear algebra. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and eigenvalues. Prerequisite or corequisite: MATH 132, or 136, or consent of instructor.
Techniques of calculus in two and three dimensions, including vectors, partial derivatives, multiple integrals, line integrals, surface integrals and Green's, Stokes's, and the Divergence Theorem. Honors section available. (Gen. Ed. R2)
Techniques of calculus in two and three dimensions, including vectors, partial derivatives, multiple integrals, line integrals, surface integrals and Green's, Stokes's, and the Divergence Theorem. Honors section available. (Gen. Ed. R2)
This 4-credit course will cover the standard subject matter, as given in the course syllabus: The definite integral, techniques of integration, and applications to physics, chemistry, and engineering. Sequences, series, and power series. Taylor and MacLaurin series. The honors course will cover this material in greater depth. This means that there will be some emphasis on the underlying theory, that more applications will be included, and that some attention will be paid to history. Active student participation will be encouraged. Recommended for Freshmen, Sophomores; Majors, Non-majors.
Introduction to the principles and practices of international relations in the political, military, economic, and environmental realms. Traces the development of the contemporary system to explore how relations among states are affected by the structure of the international system, the institutions through which states conduct their relations with each other, the internal characteristics of states, and contemporary tensions between traditional norms of state sovereignty and new norms of human rights and democratic governance. (Gen. Ed. SB)
In this course we study gauge theories and their quantum dynamics, primarily in four dimensions. We begin with electrodynamics, its quantum observables, electromagnetic duality, and Higgsing and confinement (superconductivity). We then generalize to Yang-Mills theory, studying asymptotic freedom, solitons, the theta angle, instantons, and chiral anomalies.
The definite integral, techniques of integration, and applications to physics, chemistry, and engineering. Sequences, series, and power series. Taylor and MacLaurin series. (Gen.Ed. R2)
The definite integral, techniques of integration, and applications to physics, chemistry, and engineering. Sequences, series, and power series. Taylor and MacLaurin series. (Gen.Ed. R2)
This honors course will cover the standard subject matter, as given in the MATH 131 course syllabus: Continuity, limits, and the derivative for algebraic, trigonometric, logarithmic, exponential, and inverse functions. Applications to physics, chemistry, and engineering. The honors course will cover this material in greater depth. This means that there will be some emphasis on the underlying theory, that more applications will be included, and that some attention will be paid to history. Active student participation will be encouraged.
Continuity, limits, and the derivative for algebraic, trigonometric, logarithmic, exponential, and inverse functions. Applications to physics, chemistry, and engineering. Prerequisites: high school algebra, plane geometry, trigonometry, and analytic geometry. Honors section available first semester. (Gen.Ed. R2)
[Note: Because this course presupposes knowledge of basic math skills, it will satisfy the R1 requirement upon successful completion.]