Math 3210 - 1 Tentative Schedule Spring 2014 Treibergs Date Topic Chapter _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, Jan. 6 Syllabus and review Logic Roberts' Notes T, 7 Sets, Quantifiers 1.1 W, 7 Functions F, 10 Preimage Set _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 13 Image Set and Set Operations T, 14 Numbers, Axioms of Natural Numbers 1.2 W, 15 Induction F, 17 Axioms of Commutative Ring 1.3 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 20 ~ ~ ~ MARTIN LUTHER KING HOLIDAY ~ ~ ~ T, 21 Deducing Ring Properties W, 22 Rational Numbers F, 24 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 27 Irrationality of square roots 1.4 T, 28 Review W, 29 * * * FIRST MIDTERM EXAM * * * 1.1 - 1.5 F, 31 Completeness, Archimedean Property _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, Feb. 3 Sup and Inf 1.5 T, 4 Properties of inf W, 5 Absolute Value 2.1 F, 7 Density of Rationals _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 10 Convergence of Sequence 2.2 T, 11 Proving Not convergent 2.2 W, 12 Properties of Convergent Sequences 2.2 F, 14 Limit Theorems 2.3 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 17 ~ ~ ~ PRESIDENT'S DAY HOLIDAY ~ ~ ~ T, 18 Monotone Sequences 2.4 W, 19 F, 21 3.2 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 24 T, 25 Review W, 26 * * * SECOND MIDTERM EXAM * * * F, 28 3.3 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, Mar. 3 T, 4 3.4 W, 5 F, 7 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 10 ~ ~ ~ SPRING BREAK ~ ~ ~ T, 11 ~ ~ ~ SPRING BREAK ~ ~ ~ W, 12 ~ ~ ~ SPRING BREAK ~ ~ ~ F, 14 ~ ~ ~ SPRING BREAK ~ ~ ~ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 17 4.1 T, 18 4.2 W, 19 F, 21 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 24 4.3 T, 25 W, 26 4.4 F, 28 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 31 5.1 T, Apr. 1 Review W, 2 * * * THIRD MIDTERM EXAM * * * F, 4 5.2 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 7 T, 8 5.3 W, 9 5.4 F, 11 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 14 6.1` T, 15 6.2 W, 16 6.3 F, 28 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ M, 21 6.4 T, 22 W, 23 Review _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ F, 25 * * * FINAL MIDTERM EXAM * * * 10:30 AM - 12:30 PM * * * SECOND MIDTERM EXAM * * *