Sequences and Limits Functions of one real variable: basic definitions and properties, limits, derivatives, and integrals. Vectors and Matrices: linear independence, dot product, linear system of equations, solution of a linear system, vector spaces and their basic properties Functions of several variables: partial derivatives, gradient, Taylor formula (Systems of) Linear Differential Equations: qualitative analysis and basic properties Optimization of functions of one or several variables Elements of graph theory

Course Material James Stewart and Troy Day Biocalculus Cengage Learning