MATH 8

Fall 2017

Transition to higher mathematics



Instructor

Prof. Martin Scharlemann
Office: SH 6718
Office hours:  TR 2-3
Telephone: 893 4101
Email: mgscharl@math.ucsb.edu*
        *Most student email sent from a non-UCSB address (eg i'm_an_imposter@gmail.com) is ignored.

Teaching Assistant

Abraham Schulte
Office: SH 6431B
Office hours:  MW 11-12am
Email: aschulte@math.ucsb.edu

Required text

A Concise Introduction to Pure Mathematics, Fourth Edition, by Martin Liebeck.
(If you have a copy of the Third edition, that can be made to work. Ask me about homework problem renumbering.)

Prerequisites

Mathematics 4A or 4B or 6A or 6B with a grade of B or better.

Class Lectures

TR 12:30-1:45 Girv 1115

Homework

Homework will generally be turned in at the first discussion session of the following week. For example, the homework listed below for 10/2-6 is due at the discussion session on Monday 10/9. No late homework will be accepted. Do all problems assigned.  Not all will be graded. Please resist looking up the answer in the back of the book; that does nobody any good. Feel free to work with each other on the problems, but please then write them up on your own.

Discussion sections

There are two discussion periods a week. (Check with GOLD for the latest information on discussion section time and location.)

Per departmental policy, attendance at your assigned discussion section is mandatory.  The following penalty applies:  If you miss three discussion sections, your grade will be lowered by 1/3 (i. e. B+ becomes B, B- becomes C+).  For each further three missed, your grade will be lowered another 1/3 of a grade.

Exceptions:  If your course grade is an A or an A+, these penalties do not apply.

Resources

Masterclass

For those of you who are interested in honing your proof-writing skills, I hope to add a Wednesday evening Masterclass:

Attendance is entirely voluntary and will not count towards your grade. Those taking part will be expected to volunteer to show to the rest of the master class their own solutions to the homework problems already turned in on Monday. My role will NOT be to show you how to do the problems, but instead to offer a real-time critique of YOUR solutions. Note we will not be discussing homework assignments that are due (that's for your discussion sections) but homework you have already turned in.

Exams

There will be a midterm on Thursday 2 November and a final on Monday 11 December. Check your schedule now, for there will be no make-up exams.

Grade

 
Midterm 25%
Final 50%
Homework and discussion 25%

Warning: See "Discussions" above for major penalty clause

Schedule (tentative)

Dates Reading Homework (tentative)
9/28 § 1  
10/2-6 § 2 § 1: p. 9 # 1, 5, 6, 7, 8
10/9-13 § 3, 8 § 2: p. 18 # 1, 2 a, b, c, e (with proofs), 5, 6
§ 3: p. 25 #1, 2
10/16-20 § 10, 11 § 8: p. 73 #1, 2, 3, 5, 7, 12, 13, 14
10/23-27 § 12, 13 § 10: p. 93 #1, 3, 5 a, b
§ 11: p. 100 #3, 5, 6, 8
10/31 § 6 § 13: p. 114 #1, 3, 4, 5, 7
11/2 MIDTERM Solutions and grading
11/6-10 § 16 § 6: p. 49 #3 a, b, 5, 6, 8
11/13-17 § 17, 18 § 16: p. 144 #8, 12, 13 a, b, 14
11/21 § 19 § 17: p. 154 # 1, 4, 6
§ 18: p. 160 #1, 2, 7
11/23 Thanksgiving
11/27-12/1 § 21 § 19: p. 169 #1, 2, 3, 5 a) - e)
12/4-12/8 Review § 21: p. 196 #1, 4, 5, 6

Final: Monday 11 December, 12-3p.m.

Solutions to the final
Grading of the final