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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. 1