Math 311 Exam 1 Review

• Definitions in chapters 6 and 7
• Proof of Theorems 6.7, 6.8, 6.9 and 6.10
• Statement and proof of
  • Theorem 6.11 Fundamental Theorem of Calculus part 1
  • Theorem 6.12 Fundamental Theorem of Calculus part 2
• Statements of
  • Theorem 7.5 Limit Comparison Test
  • Theorem 7.6 Alternating Series Test
  • Theorem 7.7 Ratio Test
• Proof of Theorem 7.6 and part 1 of Theorem 7.7
• Proof of Theorem 7.14 Merten's Theorem
• Homework problems 6.3#10, 6.4#7 and 6.5#5
• Homework problems 7.1#7, 7.2#2 and 7.2#8