This course introduces sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distributions of discrete and continuous random variables, joint distributions (discrete and continuous), the central limit theorem, descriptive statistics, interval estimation, and applications of probability and statistics to real-world problems. A statistical package such as Minitab or R is used for data analysis and statistical applications.

This is the first in a two-course sequence intended for students majoring in mathematics, science, or engineering. The course includes the same topics as MATH-181, but the focus of the workshop component is different. Whereas workshops attached to 181 emphasize concept development and real-world applications, the workshops of MATH-181A emphasize skill development and provide just-in-time review of precalculus material as needed. The course covers functions, limits, continuity, the derivative, rules of differentiation, applications of the derivative, Riemann sums, definite integrals, and indefinite integrals.