Christopher E. Heil

• Course Syllabus.
  
  
• Background and supplementary materials:
  • Materials used in Math 2406 in Fall 2008.
  • Here is sample LaTeX file.
  
  
  
• LECTURE NOTES:
  • Chapter 1: Logic and Proofs.
    • 1.1 Some Examples.
      • Notes on Writing Proofs.
      • Proof Guidelines by Andy Miller, U. Oklahoma.
    • 1.2 Truth Tables.
    • 1.3 Quantifiers.
      • Notes on Limits. Exercises on Limits.
    • 1.4 Sets.
    • 1.5 Some Real Analysis.
    • 1.6 Russell's Paradox.
    • 1.7 Modular Arithmetic.
    
    
  • Chapter 2: Functions.
    • 2.1 The Definition of a Function.
    • 2.2 Compositions.
    • 2.3 Direct and Inverse Images.
    
    
  • Chapter 3: Linear Spaces.
  
  
  
• HOMEWORK:
  • Homework 1 is due August 30, 2011. Here is the LaTeX file for Homework 1.
  • Homework 2 is due September 8, 2011. Here is the LaTeX file for Homework 2.
  • Homework 3 is due September 22, 2011. Here is the LaTeX file for Homework 3.
  • Homework 4 is due October 13, 2011. Here is the LaTeX file for Homework 4.
  • Homework 5 is due October 25, 2011. Here is the LaTeX file for Homework 5.
  • Homework 6 is due November 3, 2011. Here is the LaTeX file for Homework 6.
  • Homework 7 is due November 10, 2011. Here is the LaTeX file for Homework 7.
  • Homework 8 is due December 8, 2011. Here is the LaTeX file for Homework 8.
  
  
  
• EXAMS:
  • Our first exam is scheduled for Tuesday, October 4, 2011 (in class). The exam will cover Chapter 1 and 2 of the online lecture notes. You can bring one 8.5x11 sheet of notes to the exam.
  • Our second exam is scheduled for Tuesday, November 15, 2011 (in class). The exam will cover Sections 3.1-3.10 of Apostol's text and the corresponding sections in the online lecture notes. You can bring one 8.5x11 sheet of notes to the exam.
  • Our Final Exam will take place 11:30-2:20 Thursday, December 15. The final is comprehensive. You are allowed to bring one 8.5x11 sheet of notes to the exam (you can write on both sides).
  
  
  
• Recommended Practice Homework Problems:
  • Practice problems covering Chapter 1 of the lecture notes.
  • Practice problems covering Chapter 2 of the lecture notes.
  • Problems from Section 3.5 of Apostol:   #1, 2, 12, 13, 14, 17, 21, 25.
  • Problems from Section 3.10 of Apostol:   #5, 10, 11, 14, 16, 19, 25, 26.
  • Problems from Section 3.13 of Apostol:   #1, 3, 4, 5, 6, 8, 10, 11, 13, 14, 14.