Lecture 1; 9/8 R; CEL; Administrivia, Proofs, Logic, Rigor --PS1 out Rec 1; 9/9; Proofs, Logic, Rigor Tut 1; 9/12; PS1 due, PS2 out Lecture 2; 9/13 T; CEL; Induction Lecture 3; 9/15 R; CEL; Induction, Loop invariants, recursive defs Rec 2; 9/16; Proofs, Induction Tut 2; 9/19; PS2 due, PS3 out Lecture 4; 9/20 T; CEL; Set Theory, Relations, Proofs Lecture 5; 9/22 R; CEL; Graphs, Proofs Rec 3; 9/23; Partial orders (?), Proofs Tut 3; 9/26; PS3 due, PS4 out Lecture 6; 9/27 T; FTL; Functions, In/sur/bijections, Cardinalities, Pigeonhole principal, proofs Lecture 7; 9/29 R; FTL; Infinities, countability, def of discrete math, composition and inverse of functions, special functions: floors, x!, etc., proofs Rec 4; 9/30; review of Taylor series, bounding sums with integrals, calculus, l'Hospital's rule, exact methods for sums Tut 4; 10/3; PS4 due, PS5 out Lecture 8; 10/4 T; FTL; Growth of functions: logarithmic, polynomial, exponential, log*, etc., Asymptotic notation, Stirling's formula Lecture 9; 10/6 R; FTL; Linear recurrences (homogeneous) Rec 5; 10/7; Inhomogeneous linear recurrences --PS5 due, Practice exam out Tut 5; HOLIDAY Lecture 10; 10/13 R; FTL; Nonlinear recurrences, basic methods, merge sort (perhaps sorting networks instead of sorting algorithms?)