MATH 108 1intro Abstract Math UC Davis

Math 108: Introduction to Abstract Mathematics UC Davis, Department of Mathematics Summer 2008 Instructor: Deanna Needell Email: dneedell@math.ucdavis.edu Website: http:/www.math.ucdavis.edu/~dneedell Oce: MSB (Math Sciences Building) 2125 Meeting Ti

DEPARTMENT OF MATHEMATICS SYLLABUS Course # A Transition to Advanced Mathematics\" by Smith, Eggen, and St. Andre, about $92 UPC Approval Date: Spring, 2003 Comments/Topics logic and proofs light

INTRODUCTION TO ABSTRACT MATHEMATICS A Working Excursion Doyle Cutler Evelyn Silvia September 1998 c h1996 Doyle Cutler and Evelyn Silvia Appendix A PROOF PRACTICE Throughout this appendix, you are allowed to use basic high school algebra, plane g

Assignment #2 Section 1.2 on page 19. 5b)t e) F f) T 7a) p => q, (~p) v q p | q | ~p | p => q | (~p) v q -T T F T T F T T T T T F F F F F F T T T 7b) P<=>Q and (P=>Q) ^ (Q=>P) p | q | p=>q | q=>p | p<=>q | (p=>q) ^ (q=>p) --T|T| T| T| T | T F|T| T

Assignment #1 Section 1.1 (pg 7) 1b)Yes 1d)No 1f)Yes 1h)No 1L)Yes 2f) p^(qV~q) p | q | ~q | qV~q | p^(qV~q) -T|T|F | T |T F|T|F | T |F T|F|T | T |T F|F|T | T |F 2i) (pv~q)^R p | q | r | ~q | p^~q | (pv~q)^r --t|t|t|f | t |t f|t|t|f | f |f t|f|t|t | t

Assignment #3 Section 1.5 (pg 45) 1b) Suppose det(B) is zero. . . . Thus B is a singular matrix. Therefore if B is a non singular matrix then det(B) is not zero. 1d) Suppose x is a real number other than zero. Then x has a multiplicative inverse bec