Math 206

Fall 2023

• Syllabus.
• Worksheet 1: pdf, tex. Many explanations for 1 + 2 + 3 + … + n.
• Some resources for getting started in TeX. Many students like Overleaf.
• Write-up from week 1: draft due 10/2, revision due 10/9.
• Worksheet 2: pdf, tex. Sums of squares via calculus.
• Worksheet 3: pdf, tex. Sums of squares by fitting a polynomial.
• Write-up from weeks 2 and 3: draft due 10/16, revision due 10/23.
• Worksheet 4: pdf, tex. Binomial coefficients.
• Worksheet 5: pdf, tex. Sums of squares via finite differences and binomial coefficients.
• Write-up from weeks 4 and 5: draft due 10/30, revision due 11/6.
• Worksheet 6: pdf, tex. Looking for patterns in sums of higher powers.
• Worksheet 7: pdf, tex. Generating functions.
• Worksheet 8: pdf, tex. Bernoulli’s generating function for Faulhaber’s coefficients.
• Final project: topic due 11/9 11/13.
• Write-up from weeks 6 and 7 6, 7, and 8: draft due 11/13 11/17, revision due 11/20 11/27.
• Worksheet 9: pdf, tex. Factoring Faulhaber polynomials.
• Final project: outline due 11/16 11/22.
• Week 10: Meetings with NA to discuss projects.
• Final project: draft due 11/30 12/1.
• Final project: finished project due 12/7.