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MATH2250deptsyllabi

MATH2250deptsyllabi - SYLLABUS FOR MATH 2250 Text Hass Weir...

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SYLLABUS FOR MATH 2250 Text : Hass, Weir, and Thomas, University Calculus, Early Transcendentals , Second Edition Fall, 2011 Section Topics and Recommended Exercises # Days Chapter 2: Limits and Continuity 2.1 Rates of Change and Tangents to Curves 1 § 2.1: # 1 , 3 , 9 , 10 , 13 , 15, 16, 19 2.2 Limit of a Function and Limit Laws 2 § 2.2: # 1 , 2 , 3 , 5, 9, 12 , 17 , 21 , 23 , 28 , 29 , 30 , 38 , 45 , 53 , 64, 65, 81 2.4 One-Sided Limits 1 § 2.4: # 1 , 2 , 7 , 10 , 12 , 17 , 19 , 20 , 21 , 23 , 25 , 27 , 36 , 39 , 45, 46 2.5 Continuity 2 § 2.5: # 1–10 , 11, 12, 13 , 19 , 25 , 39 , 40 , 43 , 54 , 55 , 66 2.6 Limits Involving Infinity; Asymptotes of Graphs 2 § 2.6: #1, 13 , 17 , 37 , 39 , 45 , 49 , 50 , 53 , 54 , 55 , 59 , 67, 69, 72, 73, 74, 81, 86 Additional and Advanced Exercises: #4, 5, 6, 14, 21 Chapter 3: Di ff erentiation 3.1 Tangents and the Derivative at a Point 1 § 3.1: 1 , 5 , 7 , 11 , 13 , 18 , 23 , 27–30 3.2 The Derivative as a Function 1 § 3.2: # 1 , 3 , 6 , 7, 9 , 10 , 13 , 17 , 27–31, 37, 45, 47, 53, 54 3.3 Di ff erentiation Rules 3 § 3.3: # 1 , 3 , 5 , 7 , 11 , 15 , 17 , 21 , 30 , 31 , 32 , 37 , 39, 45 , 51 , 53 , 55 , 56 , 59 , 72 , 76, 77 3.4 The Derivative as a Rate of Change 2 § 3.4: #1, 5, 7, 10, 11, 15, 17, 18, 21, 23, 26, 29 3.5 Derivatives of Trigonometric Functions 1 § 3.4: # 1 , 9 , 12 , 13 , 15 , 19 , 22 , 26 , 33 , 35, 43, 45, 57 3.6 The Chain Rule 2 § 3.6: # 1 , 3 , 5 , 9 , 11 , 15 , 17 ,
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