Syllabus

Up Right

 

Math 100
Introduction to Proofs and Problem Solving
Spring 2008, UCSC

In this class, you will study the basic concepts and ideas necessary for upper-division courses in mathematics. Roughly speaking we will cover these areas:

bulletThe logical foundations of mathematics (VERY informally only) such as propositional calculus and first order logic.
bulletProof methods, such as proof by contradiction, mathematical induction, etc.
bulletFundamental mathematical concepts (sets, relations, functions).
bulletTopics from combinatorics (counting arguments, pigeonhole principle, etc.) and number theory (division algorithm, etc.).

You will need to do LOTS of problems to put these concepts to practice. You will only really learn this by doing. We will also put a fair amount of emphasis on the proper writing of mathematics in proofs. One other strong hint/piece of advice: Get used to reading a lot. Mathematics is in a way like studying philosophy. DO not expect to understand everything on the first read. Get used to learn from different sources: Lecture, Section, Office hours, discussions in study groups, reading the textbook and supplementary materials.

Lecture

MWF 11:00-12:10pm at  E&M B210

Instructor

Frank Bäuerle, Ph.D.
Office: BE 373
Office hours: M 1:30-3pm, W 9-10:30am, F 12:30-3pm
Phone: (831) 459-2964
e-mail: bauerle@ucsc.edu

Teaching Assistant/Sections

TA: Jen Mogel, e-mail: jmogel@ucsc.edu
Office Hours:  Tue 10-noon, Wed 12:10-2pm

Associated Discussion Sections or Labs
Days Time Location Enrolled Max Status 3/4
Monday 02:00PM-03:10PM J Baskin Engr 169 20 20 CLOSED
Wednesday 03:30PM-04:40PM J Baskin Engr 169 13 20 OPEN
 

Section attendance is highly recommended but not required.

Requirements

To be eligible to enroll in Math 100, you must have taken and passed two quarters of Calculus.

Textbook

Title: Foundations of Higher Mathematics, 3rd ed.
Authors: Peter Fletcher and C. Wayne Patty
Publisher: Brooks/Cole Publishing Company

Available for purchase at the Bay Tree Bookstore and on-line.

Exams & Grading Policy

Your grade is primarily, but not exclusively  based on your performance on exams. There will be a midterm and a comprehensive final. Weekly homework assignments are a part of your grade also. Other factors such as participation in class and section may also affect your final grade.

More specifically, the overall grade is computed roughly as follows:

bulletWeekly Homework (30%),
bulletMidterm (30%)
bulletComprehensive Final (40%).

Tentative Lecture Schedule

Mon
Mar 31
1.1-1.3
Wed
Apr 2
1.4
Fri
Apr 4
1.5
Mon
Apr 7
1.6
Wed
Apr 9
2.1,2.2
Fri
Apr 11
2.3
Mon
Apr 14
2.4
Wed
Apr 16
3.1
Fri
Apr 18
3.2
Mon
Apr 20
3.3
Wed
Apr 23
3.4
Fri
Apr 25
4.1,4.2
Mon
Apr 28
4.2,4.3
Wed
Apr 30
4.3,4.4
Fri
May 2
Midterm
Mon
May 5
4.5
Wed
May 7
5.1,5.2
Fri
May 9
5.2,5.3
Mon
May 12
5.4,5.5
Wed
May 14
5.5,5.6
Fri
May 16
5.6
Mon
May 19
6.1
Wed
May 21
6.2
Fri
May 23
6.3
Mon
May 26
off
Wed
May 28
7.1,7.2
Fri
May 30
7.3

Mon
Jun 2
7.4

Wed
Jun 4
7.5

Fri
Jun 6
7.6

  

FINAL
Thur
Jun 12
12-3pm

 

Copyright © 1997-2008 by Frank Bäuerle, Ph.D., UC Santa Cruz.
For problems, feedback or questions regarding this web contact bauerle@ucsc.edu.
Last updated: April 08, 2008.
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