1. Review of some basic logic, matrix algebra, and calculus 1.1 Logic: basics and proof by induction 1.2 Matrices: determinant, inverse, and rank 1.3 Solving systems of linear equations: matrix inversion and Cramer's rule 1.4 Intervals and functions 1.5 Calculus: one variable 1.6 Calculus: many variables 1.7 Graphical representation of functions