MATH 3000---Fundamental Concepts

Meets: MWF 8–8:50am, EN 1044.
Instructor: Eric Moorhouse, Ross 216, 766-4394
Prerequisite: Grade of C or better in Math 2250 (Elementary Linear Algebra)

Textbook: Chartrand, Polimeni and Zhang, Mathematical Proofs: A Transition to Advanced Mathematics, 2nd ed., Pearson, 2008.

Average grade on the final exam was 68.32%.  Email me if you want more details about your final exam results.
Thanks to all... have a good break and see some of you in the spring!
Eric

Handouts/Links

Students and Teachers Working Together (UW policy on the rights and responsibilities of students and teachers)
Syllabus / Policies
Bertrand Russell's growing realization of the challenges involved in placing mathematics upon a firm set-theoretical foundation are alluded to in this excerpt (shown in class) from the graphic novel Logicomix which I highly recommend.
Solutions to unassigned problems from Sec 1.1-1.3 (i.e. problems 1.1, 1.2, 1.9, 1.10, 1.17, 1.18, 1.20, 1.21, 1.23). This is intended as a model for your written homework.
Handout on Learning to Read and Write Proofs distributed in class on Sept 28.
Sample Test 1. Do not read the solutions until you have worked through the Sample Test for yourself!
Test 1, Oct 5, 2011 covering Chapters 0,1,2,3 and Sections 4.1 and 4.3. Solutions. Average grade: 66.7%
Handout on Mathematical Induction
Applet demonstrating the Towers of Hanoi
Sample Test 2. Do not read the solutions until you have worked through the Sample Test for yourself!
Test 2, Nov 21, 2011 covering Sections 4.2 and 4.4-6.4. Solutions. Average grade: 73.8%
Sample Final Exam. Do not read the solutions until you have worked through the Sample Exam for yourself!
Handout summarizing Basic Properties of Integers (divisibility, finding gcd's, etc.). Do not read the solutions until you have worked through the practice problems for yourself!

Homework

	Due Date	Questions Assigned	Solutions	Grade Value	Graded Problems	Average Grade
HW1	Fri Sept 2	1.3-1.8, 1.11-1.16, 1.19, 1.22, 1.24	solutions	44	1 point per problem part	34.2
HW2	Fri Sept 9	1.26-1.28, 1.30, 1.31, 1.33-1.35, 1.37-1.41, 1.44, 1.45	solutions	32	1 point per problem part	21.5
HW3	Wed Sept 21	Chapter 2 exercises from pp.57-63: 1,2,4,7,8,10,12,14,17,18,22,26,30,31,36,37,40,41,43,48	solutions	43	2(6), 4(2), 8(3), 10(8), 12(4), 14(8), 22(2), 30(2), 48(8)	37.7
HW4	5:00pm, Mon Oct 3	3.5, 3.6, 3.12, 3.22, 3.30; 4.5, 4.8, 4.20, 4.22	solutions	30	3.6(5), 3.12(5), 4.8(10), 4.20(10)	22.7
HW5	Wed Oct 19	Chapter 4 exercises from pp.102-106: 10, 16, 29, 32, 36, 41, 66. Chapter 5 exercises from pp124-125: 4, 6, 7, 8, 16, 17, 28, 30, 31, 36.	solutions	30	4.10(5), 4.32(5), 4.41(5), 4.66(5), 5.4(5), 5.30(5)	19.7
HW6	Wed Nov 16	Chapter 6 exercises from pp.150-152: 1-6,13,17,26,33,35	solutions	15	6.2(5), 6.4(10)	10

/ revised September, 2011