Math 100: Introduction to Proof and Problem Solving (Fall 2017)

• Classes: M, W, F 9:20-10:25, Kresge Clrm 327. First day of class: Friday, September 29.

• Instructor: Robert Boltje;
  Office: McHenry 4190;
  Tel: 459-5001;
  Email: boltje AT ucsc DoT edu;
  Office hours: T 2pm-3:30pm, W 11am-12:30pm, or by appointment.

• Teaching Assistant:
  • Deniz Yilmaz, deyilmaz AT ucsc DoT edu. Office hours: W 3-4pm, F 2-3pm, in McH 4112.
  • Xu Gao, xgao26 AT ucsc DoT edu. Office hours: M 12-1pm, McH 4117.

• Problem Sessions:
  • Fr 12:00AM - 1:05PM, McHenry Clrm 1279.
  • We 1:20PM - 2:25PM, McHenry Clrm 1279.
  • Mo 8:00AM - 9:05AM, McHenry Clrm 1279.

• Generalities about this class: The course Math 100 is of vital importance for your success in the Math Major. This course is designed to help you transition from algorithmic and calculation-oriented Mathematics, as you might know it from calculus, linear algebra, or differential equations, to proof-based and more abstract Mathematics. The class teaches techniques of proof and basic abstract concepts that will be used (without review) throughout all the higher numbered courses in Mathematics. In order to be successful in the Mathematics major and also to have fun with the higher classes, it is necessary to ace this class, not merely to pass it.

• LaTeX: This class satisfies the disciplinary writing requirement. As part of it you will be required to learn the typesetting language "LaTeX". LaTeX has become the standard for written communication in Mathematics and other sciences. You can download a free installation package for your own computer here. It should also be available everywhere in the computer labs on campus. I recommend to play around and familiarize yourself with it as soon as you can. If you have LaTeX-questions, feel free to email them to Robert Boltje, Xu Gao, or Evan Forletta.
  Useful links to LaTeX Manuals and resources:
  • ShareLaTeX
  • Texblog
  • Sample solutions for homework set 1

• Tutoring: All UCSC students are eligible for tutoring and can sign up here. This service is free. The tutor for Math 100 is Evan Forletta, eforlett AT ucsc DoT edu. These are the times and locations:
  • Mon 2:45p-3:45p, Science and Engineering Library
  • Tue 3:45p-4:45p, Jack Baskin Engineering
  • Thu 1:45p-2:45p, ARCenter
  Evan will meet you at the entrance of these buildings. Here is a step by step tutorial on how to sign up for tutoring. Sign ups open Friday, October 6th at 5pm.

• Passing requirement: An overall score will be calculated from the following weighted components: Homework (weight 10% ), Midterm (weight 30%), and Final Exam (weight 60%). Passing requirement: 50% of the overall score.

• Syllabus

• Midterm: Monday, November 6, 9:20am-10:25am, Kresge Clrm 327.

• Final Exam: Thursday, December 14, 8:00am-11:00am, Kresge Clrm 327.

• Textbook: Richard Hammack: Book of Proof. The book can be downloaded for free here. The Baytree Bookshop on campus has printed paperback versions available.

• Reading: I recommend preparing for each class by reading through the relevant sections in the book. As we go along, I'll announce them session by session.
  
  • F, September 29: 1.1-1.4.
  • M, October 2: 1.2-1.6.
  • W, October 4: 1.7-1.10.
  • F, October 6: 2.1-2.4.
  • M, October 9: 2.4-2.7.
  • W, October 11, 2.7-2.12.
  • F, October 13, 2.11-3.2.
  • M, October 16, 3.3-3.5.
  • W, October 18
  • F, October 20
  • M, October 23, 4.3-4.5.
  • W, October 25, 5.1-5.3.
  • F, October 27, 5.3-6.4
  • M, October 30, 6.3-7.2
  • W, November 1, 7.3-8.1
  • F, November 3, 8.1-8.3
  • M, November 6, Midterm
  • W, November 8, 8.4-9.2
  • M, November 13, 9.1-9.3
  • W, November 15, 10.1
  • F, November 17, 10.2-10.3
  • M, November 20, 10.3-11.1
  • W, November 22, 11.0-11.1
  • M, November 27, 11.2-11.5
  • W, November 29, 11.4-12.1
  • F, December 1, 12.2-12.4
  • M, December 4, 12.5-12.6
  • W, December 6, 12.6-13.1
  • F, December 8, 13.1-13.3

• Homework: Needs to be dropped by 4pm on Fridays in the file cabinet located in McHenry, 1st floor, opposite of room 1240.
  
  • Due Friday, October 6: TBA 1.1: 12, 16, 22, 38, 42; 1.2: 2(f), 12; 1.3: 10, 14; 1.4: 6, 18; 1.5: 2(e), 4(e); Try to use LaTeX for the problems that don't involve pictures. Fill in pictures by hand.
  • Due Friday, October 13: 1.6: 6; 1.7: 8; 1.8: 6(a), 6(b), 2.1: 6, 14; 2.2: 8; 2.3: 2; 2.4: 4; 2.5: 4, 8, 10; 2.6: 2, 10.
  • Due Friday, October 20: 2.7: 6; 2.9: 6; 2.10: 8; 3.1: 4, 12; 3.2: 8; 3.3: 10; 12; 3.4: 12.
  • Due Friday, October 27: 3.5: 6, 8; 4: 6, 8,10, 20, 24, 26; Compile this LaTeX-file with additional problem.
  • Due Friday, November 3: 5: 6, 18, 22, 26; 6: 6, 16, 20, 24.
  • Due Monday, November 13, noon: 7: 10, 22, 26, 32, 34, 36; 8: 6, 12, 22, 28.
  • Due Friday, November 17: 9: 12, 14, 18, 28, 34.
  • Due Wednesday, November 22 noon: 10: 2, 4, 8, 20, 30, 32.
  • Due Friday, December 1: 11.0: 2, 12; 11.1: 14; 11.2: 2, 10, 12, 14; 11.3: 2, 4; 11.4:4, 6, 8.
  • Due Friday, December 8: 12.1: 8, 10; 12.2: 14, 16; 12.3: 4; 12.4: 4; 12.5: 8; 12.6: 10, 14.