Mathematics Major, Bachelor of Arts

What will I learn?

Build a strong mathematical foundation by learning ideas, methods and applications of single-variable differential calculus. Apply derivatives to a variety of problems, such as finding maximum and minimum values of functions. Study differential calculus for functions of one variable, with applications emphasizing the physical sciences. Examine calculation and interpretation of limits and derivatives; curve sketching; optimization and related-rate problems; l'Hospital's rule; linear approximation and Newton's method, Riemann sums, definite and indefinite integrals, techniques of integration, improper integrals, applications of integration, separable differential equations, and series.

Explore systems of linear equations, matrix arithmetic, determinants, real vector spaces, linear transformations, eigenvalues, eigenvectors and diagonalization. Develop an ability to understand proofs and to write your own proofs. Survey logic, set theory, numbers and functions, suprema and infima of sets, completeness, basic metric topology of the real numbers, continuity and limits.

Get introduced to the classical complex function theory, a cornerstone of mathematics. Explore complex derivatives and the Cauchy-Riemann equations; the complex exponential function and related elementary functions; integration along curves and Cauchy's theorems; Taylor and Laurent series; zeros and singularities; residues; and evaluation of integrals using the residue theorem.

Read and analyze scholarly journal articles from a variety of disciplines and develop your ability to compose in the genres and subgenres of scholarly writing, including incorporating research and documentation in a grammatically correct style. Develop skills in close critical reading and writing using a variety of creative narrative texts. Learn to engage in a careful analysis and interpretation of the perspectives, techniques, and rhetorical strategies employed by writers to convey a given subject matter. Practice and build on scholarly writing and documentation skills as the keys to success in any academic discipline and future workplace.