Selected laboratory exercises applicable to materials in PHY 112.

Laboratory exercises and recitation sessions related to topics in PHY 205.

Introduction to topics of thermodynamics, kinetic theory, wave motion, acoustics, and optics.

Selected laboratory exercises applicable to materials in PHY 111.

Selected laboratory exercises applicable to materials in PHY 111.

Mechanics, heat, and sound.

Identification, formulation and evaluation of both inductive and deductive patterns of reasoning.

Topics include coordinates for space, vector geometry, partial derivatives, directional derivatives, extrema, Lagrange multipliers, and multiple integrals.

Introduction to mathematical tools and to formal methods of reasoning for computing.