Math 414: Analysis I
Exam 3 Topics
1. Cluster Points/Limits of Functions (See in book: 3.1.1(c), 3.1.2-3.1.5, 3.1.8-3.1.10,
HW 8 #1–#8)
2. Continuous Functions (See in book: 3.2.1–3.2.6, 3.2.9–3.2.12, HW 9 #7)
3. Intermediate Value Theorem/ Location of Roots Theorem (See in book: 3.3.1, 3.3.2,
3.3.7, 3.3.10, HW 9 #8)
4. Uniform Continuity/ Lipschitz Continuous Functions (See in book: 3.4.3, 3.4.4,
3.4.7, 3.4.8, HW 10 #3–#7)
5. The Derivative (See in book: 4.1.1. 4.1.2, 4.1.3, 4.1.5, 4.1.6, 4.1.9, 4.1.11 HW 10
#8-9)
Additional Details
• Exam 3 will occur in class on Wednesday, April 23 in our usual classroom.
• In addition to going over the homework, please refer to the examples done in class,
as parts of the exam may resemble these examples.
• Although you have 50 minutes to complete the exam, I will be in the classroom at
10:55 AM for those who would like extra time. The exam will conclude at 11:05
AM.
• No notes or electronic devices may be used on the exam.
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