MTH 174 Calculus with Analytic Geometry II

Transcription

1 MTH 174 Calculus with Analytic Geometry II Instructor: Dr. Pablo Chalmeta Office: 48 Godbey (Mall 115A) Phone: ext OR ext Homepage: Office Hours: Instructional Materials: Textbook: James Stewart, Calculus Early Transcendentals, 8 th Ed., Brooks/Cole, 2014, ISBN: WebAssign: ISBN: Class Key: nr (Spring 2018) Homework and Quizzes Giving your best effort on homework is the single best thing you can do to help you learn mathematics. The homework is collected through the WebAssign software. There will be at least one quiz every week. The quiz will consist of one problem from the book homework assigned the previous class OR a topic covered in class that day. Evaluation Criteria and Grading Scale The grade for this course will be derived from four tests, WebAssign homework, Quizzes and a final. There will be no make-up tests. The final exam grade will be substituted for the lowest test grade if it improves your average. 4 Tests 60% Homework 10% Quizzes 10% Final Exam 20% Letter grades will be assigned based on your final percentage as follows: = A = B = C = D 0 59 = F Note: I do not curve grades. I do not give grades. You earn what you get, so plan to work accordingly. Evacuation Procedure Evacuation Procedure: Please note the evacuation route posted at the classroom doorway. Two routes are marked in case one route might be blocked.

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4 Math Calculus Text: Calculus, 8th ed., Stewart Section(s) Text Homework 5.5 The Substitution Rule p. 418 #8, 13, 17, 34, 40, 44, 53, Areas Between Curves p. 434: #4, 11, 12, 13, 17, 18, 26*, 27, 44, 47, 52*, 53 (*set up only) 6.2 Volumes (by Cross-Sections) p. 448: #54-59 all 6.2 Volumes (Disk/Washer) p. 446: #2, 3, 5, 6, 9, 12, 13, 17*, 23*, 24, 27*, 28*, 47, 48* (*set up only) 6.3 Volumes (Cylindrical shells) 6.4 Work (Springs/Ropes) p. 458: #1, 3, 8, 9, 10, 13, 15 p. 453: #5, 6, 8, 10, 17, 18*, 23(a)*, 24(a)*, 27, 29, 31, 37, 38, 45, 47* (*set up only) 6.4 Work (Pumping Liquids) p. 459: #19, 21, 22*, 23*, 24, 26* (*set up only) 6.5 Average Value p. 463: #3, 5, 7, 8, 9, 10, 13, 19; 7.1 Integration by Parts p. 476: #3, 5, 7, 10, 13, 15, 17, 26, Integration by Parts p. 476: #30, 33, 35, 37, 52, 56, 57, 61, Trigonometric Integrals (Sine/Cosine) p. 484: #1, 3, 7, 11,12, 14, 15, Trigonometric Integrals (Sec/Tan) p. 484: #19, 21, 22, 23, 24, 26, 29, 47, 56, 62 Test Trigonometric Substitution p. 491: #1, 2, 3, Trigonometric Substitution p. 491: #8, 9, 11, 17, 19, 25, 26, Integration By Partial Fractions p. 501: #7, 9, 16, Integration By Partial Fractions p. 501: #3, 19, 20, 23, 24, 26, Strategies for Integration p. 507: #3, 5, 7, 9, 10, 11, 14, 15, 16, 17, 21, 27, 29, 31, 37, 47, 54, Integration Using Tables p. 512: #1, 2, 4, 6, 7, 10, 11, 13, 20, 21, 31, 33, Approximate Integration (Trapezoidal/Simpsons Rule) p. 524: #3, 7(T)ab, 15(T)ab, 19(T), 31* (*use Trapezoidal Rule in #31) 7.7 Approximate Integration (Error Estimation) p. 524: #7c, 15c, 21, 30, Improper Integrals p. 534: #3, 5, 7, 8, 9, 13, 18, Improper Integrals p. 534: #27, 30, 34, 36, 37, 38, 49, 50 Test 2

5 Math Calculus Text: Calculus, 8th ed., Stewart 8.1 Arc Length p. 546: 4, 5, 7*, 9, 13, 41 (*set up only) 8.3 Applications (Center of Mass) p. 566: #23, 24, 40, Applications (Center of Mass) p. 566: #25, 28, 29, 31*, 32*, 33, 34, 37* (*set up only); and set up only: find the center of mass of the region bounded by x = 2y and x = y^2-4y. 8.5 Probablility p. 579: # 1, 2, 4, 5, 7, 8, 10, 11, 12, Curves Defined by Parametric Equations p. 645: # 6, 7, 8, 11, 12, 14, 15, 19, 20, 24, 28, 31b, 33, 34a, Calculus with Parametric Curves (Arc Length) p. 655: # 1, 5, 15, 17 M, 30, 31, 32, 41, 45 M, Polar Coordinates p. 666: # 3, 4, 5, 11, 12, 15, 16, 17, 21, Polar Coordinates (Graphing) p. 667: # 29, 32, 33, 35, 38, 40, 41, 42, 45, 54, 55, 61, 65 Test Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums p. 725 #1, 2, 3, 4, 8, 11, 21, 22 p. 704 # 1, 5, 13, 15, 23, 25, 27, 28, 30, 31, 33, 35, 37, 38, 41, 42, 43, 44, 45, 47, 52, 60 M, 72, 73 p. 715 # 1, 3, 5 M, 15, 17, 18, 21, 22, 23, 24, 25, 30, 31, 32, 34, 35, 57, 58, 72(a)(b); The Comparison Tests p. 731 #1,2,3,4,5, 7, 10, 16, 22, 23, 24, Alternating Series p. 736 #3,4, 7, 8, 10, 16, 23, 24, Absolute Convergence and the Ratio and Root Testsp. 742 #1, 2, 9, 10, 11, 12, 18, 35(a)(b)(c ) 11.7 Strategy for Testing Series p. 746 #1, 2, 3, 4, 10, 26, Power Series p. 751 #3, 7, 8, 9, 10, 15, Representations of Functions as Power Series p. 757 #3, 8, 25, 29, 40(a) Taylor and Maclaurin Series p. 771 #5, 6, 10, 16, 32, 44, 47, 57, 63, Applications of Taylor Polynomials p. 780 #13 M, 18 M, 19 M, 25, 26, 28 M (use ASET) Test 4