Spring Quarter 1998
Introduction to the elements of propositional logic, techniques of mathematical proof, and fundamental mathematical structures, including sets, functions, relations, and other topics as time permits. Mastery of this material is essential for students planning to major in mathematics.
South Hall 6512
Phone: (805) 893-3894
Fax: (805) 893-2385
Office Hours for Math 8: F 8:00 - 11:00 AM
Email: millett@math.ucsb.edu
Course Web Page: http://www.math.ucsb.edu/~millett/math8.html
Syllabus
Math 8 A Transition into Higher Mathematics Spring 1998
Professor Kenneth C. Millett South Hall 6512
893-3894 millett@math.ucsb.edu
Class: TR 9:30 - 10:45 Broida 2015
Discussions and Workshops:
W 8:00 - 8:50 HSSB 1214
W 6:00 - 6:50 PM HSSB 1214
Workshop: W 7:00 - 7:50 PM HSSB 1214
AP Workshop MW 11:00 - 12:15 South Hall 4421
Interview and Office Hours:
Millett F 8:00 - 11:00 in South Hall 6512
Jue F 9:00 - 10:00 & 2:00 - 3:00 in South Hall 6431N
Schulz F 11:00 - 1:00 PM in South Hall 6432J
Text: D. Smith, M. Eggen, and R. S. Andre, A Transition to Advanced Mathematics, 4th edition, Brooks/Cole Publishing, CA 1997
Webpage: http://www.math.ucsb.edu/~millett/math8.html
Material to be covered:
Chapter 1 (Sections 1.1 - 1.5),
Chapter 2 (Sections 2.1 - 2.5),
Chapter 3 (Sections 3.1 - 3.4),
Chapter 4 (Sections 4.1 - 4.3),
Chapter 5 (Sections 5.1 - 5.4), and further material as time allows.
Homework: Homework will be assigned in class and collected on Friday during your scheduled interview with either Professor Millett, Brian Jue, or Eric Schulz. You must use standard size paper, stapled if necessary. Your solutions must be complete, correct, concise, and clearly written. You must clearly give your name and section in the upper right hand of the first page.
Interviews: Each week, beginning with the second and ending with the ninth week, you will have a scheduled interview with either Professor Millett, Brian Jue, or Eric Schulz. During this time we will discuss your progress in the course, questions concerning the homework you will be giving us, and any other question on course material. YOU WILL BE ASSIGNED A MARK FOR EACH MEETING. BE ON TIME AND PREPARED TO "TALK MATH."
Exams:
Midterm Tuesday, May 5
Final Exam: Monday, June 8, 1998 8:00 AM
Grading: Your final letter grade will be composed of your homework grade (30 %), your interview grade (15%), your Midterm grade (15%) and, your Final Exam grade (40%). This course is NOT graded on a curve. As a consequence, it is possible that everyone could receive an A in the course. Other possibilities exist as well. Be sure to read the fine print on this syllabus.
Bonus Points: ÒThe goal of this course is to increase the level of mathematical sophistication of the students and, in particular, to give them extensive experience in the strategies and techniques of mathematical proof.Ó Quality points will be awarded for especially meritorious written work and interviews. Attendance of discussion sessions is, by departmental policy, mandatory. Nevertheless, those who miss no more than one discussion session will receive bonus points. In addition, those faithfully participating in the affiliated workshops will receive additional bonus points in addition to being eligible for one unit of P/NP credit. The maximum total quality and bonus points toward the final is 10%.
HAPPINESS DISCLAIMER: Professor Millett
is notorious for being one of the more unreasonably demanding teachers
in the Mathematics Department. He is not happy when students do not give
their full commitment to doing whatever it takes to achieve success in
a course that he is teaching. When he is not happy students in his courses
are not happy. Therefore, if you are not willing to make a commitment to
attaining the course goals and if you do wish to be happy, then do not
enroll in this course.
Lectures and Assignments
Due April 10, 1998
March 31: page7: 1cfghj,2cfgl,3efi,4cgfik,5acefg,7abc,9ab,10c
April 2: page 15: 1acdh,2acdh,4acfgi,5bc,6be,9ab,10,14ac
April 7: page 24: 1aghi,2aghi,4acfghk,5acd,6a-d,10,11
Due April 17, 1998
April 9: page 37: 2bcg,4a-d,6
April 14: page 38: 5e, 7b, 10; page 46: 1bdg
Due April 24, 1998
April 16: page 46: 1i, 3, 6b, 8bdh, 9 page 65: 1, 3, 4, 5
April 21: page 65: 2d,6b,7ce,8b,9,17,19af
Due May 1, 1998
April 23: page 71: 1ghj,2d,3bei,4ce,5ghj,10bf,11d,12,13bc,14bf,16cd,17efg
May 5, 1998
Midterm Exam Covering Chapter One and Sections 1 and 2 of Chapter 2
Suggested Review Problems from the Text:
page 15: 6d, 9d, 14h; page 37: 6f, 10b; page 46: 5b, 7a, 9f;
page 54: 3c, 8b; page 65: 4, 9; page 71: 10e, 14b, 16c
Due May 15, 1998
April 28: page 81: 2k,4,6b,9,13,20cd; page 93: 2,5b,6a,8hno,9a,10,15
May 7: page 102: 4,5bc,8,11,14,15; page 111: 1, 2c, 4,6b
Due May 22, 1998
May 12: page 111: 12, 14, 19; page 125: 1d, 3d, 5, 6b, 8bdhj, 9abh,10ck,12,20a
May 14: page 133: 1bd, 2be, 4bc, 6b, 8, 12a,16; page 139: 2a, 3, 5a, 6a, 7c, 13c
Due May 29, 1998
May 21: page 167: 1,2chj,3,5cd,6bc,8cdf,10,12,14,17a,18
May 26: page 176: 1fh,5,6,7b,10,13,15,,18,20; page 185: 1g,3,6, 8bcd,9a,12,14b
Due June 5, 1998
May 28: page 201: 1, 3a, 4, 5, 7, 9 10, 16, 20
June 2: page 207: 1, 2,3c,5, 7; page 216: 2,6,10
Thursday June 4, 1998
Class Review for Final Exam
Monday June 8, 1998
Comprehensive Final Exam
Covering Chapters One, Two, Sections 3.1 - 3.3, 4.1 - 4.3, and 5.1 - 5.3
Dr. Ken's Recommended Review Problems
page 15: 6f, 14k
page 24: 4i,10b
page 37: 6f,10b
page 46: 5c,7,8h
page 65:4bd,9
page 71: 3,11,13b,16
page 81: 6b,8d,17e
page 93: 8b,9d,11
page 102: 5b,8, 13
page 111: 5,12
page 125: 3,9,18
page 133: 4bc, 7, 8, 11
page 139: 5a,6, 13b
page 167: 3, 5c, 6, 9, 11
page 176: 3, 6, 8, 13b, 15, 18
page 185: 4, 612, 14b, 15
page 201: 5,9,16
page 207: 3, 6, 7
page 216: 2, 6, 10
If you have comments or suggestions, email me at millett@math.ucsb.edu