` Math 8 Log

## Math 8 Syllabus and Homework Log

 Lecture Date Sections Covered Topics Covered Homework Due Sol M Sep. 22 6.1, 6.2 Areas between curves volumes of revolution First day, no HW is due. * * Sep. 24 7.5, 8.1 Integration by parts 6.1: 10, 18, 24, 40, 44 6.2: 2, 34, 36, 50, 58 * * Sep. 27 8.2,8.3 Trigonometric Integrals Trigonometric substitution 7.5: 2(b), 6(b), 8, 19, 26, 50 8.1: 6, 10, 36, 45, 51 * * Sep. 29 8.8, 8.4 (Through middle of 569) Partial Fractions Improper Integrals 8.1: 24 8.2: 2,6, 12, 26, 60 8.3: 2, 12, 24, 34 * * Oct.1 12.1-12.2 Improper Integrals (Intro) Sequences of constants 8.4: 12, 26, 32 8.8: 8, 14, 58 (assume c>0) * * Oct. 4 12.2, 12.3 Series of Constants Integral test 8.8: 32, 34, 42, 63 ,50, 52 12.1: 12, 16, 22, 28, 36, 49,58,60 * * Oct. 6 12.3, 12.4 Comparison tests 12.2: 14, 20, 22, 23, 30, 36, 44 * * Oct. 8 12.5, 12.6 (through top of page 778) Alternating Series Absolute and conditional convergence 12.3: 2, 4, 12, 20, 25, 37(a) 12.4: 2, 6, 10, 24, 38 * * Oct. 11 12.6, 12.7 Ratio Test 12.5: 10, 14, 16, 24, 32 12.6: 6,7, 8, 12, 22 * * Oct. 13 Practice Exam 1 Review For Exam 1 No HW Due, but see Friday * * Oct. 14 Exam 1 6-8 P.M. in Filene Auditorium, Moore Hall * * * Oct. 15 12.8, 12.9 Power Series 12.6: 1, 2, 14, 18, 26, 31 * * Oct. 18 12.10 Taylor and Maclaurin series 12.8 4, 10, 14, 16, 30(b,c) 12.9 4, 8, 13, 14(a,c) * * Oct. 20 12.12 Taylor and Maclaurin series 12.9: 18, 26 12.10: 2, 4, 12, 14, 26, 42, 52, 54 * * Oct. 22 13.1, 13.2 Coordinates and vectors (2 and 3 dim) 12.10: 16, 20, 46, 58 12.12: 16(a,b), 24, 26 * * Oct. 25 Exam Exam Do Over During Class * * Oct. 26 X-hour Review Taylor Review Optional None * * Oct. 27 13.3 Dot Product 12.12: 14(a,b) 13.1: 6, 7, 9, 11, 16, 30 13.2: 11, 20, 21, 23, 25, 26, 30 * * Oct. 29 13.4 Section 1: Cross Product Section 2 (optional): pick up and discuss exam Due to Homecoming: Section 2's lecture has been moved to next week's X-Hour None * * Nov. 1 13.4 (13.5) Cross Product (section 2) Lines (section 1) 12.12: 5 (just Taylor poly, not the graph), 23 13.3: 1, 8, 9, 20, 23, 28, 35, 37, 43, 51 * * Nov. 2 X-Hour 13.5 Lines (section 2) None * * Nov. 3 13.5 Planes 13.4: 5, 7, 9, 12, 14, 16, 29, 33, 34 13.5 4, 8, 10, 11, 14 * * Nov. 5 14.1, 14.2, 14.3 (through top of 900) Space Curves, Arc Length 13.5 12, 16, 19, 20, 26, 28, 31, 34, 40, 46, 48 * * Nov. 8 14.3, 14.4 (though middle 910) Do not memorize 14.3[10], 14.3[11] Velocity, acceleration, and curvature 13.5: 32, 52, 66 14.1: 4, 16, 19-24 14.2: 8, 20, 24, 29(a) 14.3: 4, 6 * * Nov. 9 X-Hour 15.1, 15.2 Functions of several variables, limits, continuity None * * Nov. 10 Practice Exam 2 ( solutions ) Review for Exam 2 14.4: 3, 11, 14, 15, 19 15.1 : 5, 18, 22, 26, 30 (a-d), 31, 37 * * Nov. 11 Exam 2 6-8 P.M. Section 1: Wilder 111 Section 2: Wilder 104 * * Nov. 12 15.3, (begin 15.4) Partial Derivatives None * * Nov. 15 15.4 (begin 15.5) Tangent Planes and Approximation 15.1: 32, 44, 46, 48, 60 15.2: 2(a,c), 7(explain), 12 ,30 15.3: 4, 8, 14, 22, 26, 48, 76 * * Nov. 16 X-Hour 15.5 Chain Rule None * * Nov. 17 15.6 Directional Derivative 15.3: 36, 39 (partial x only), 46, 62, 66 15.4: 4, 6, 14, 16, 17, 20, 24 15.5: 2, 6 * * Nov. 19 15.6, 15.7 Gradient, Minima and Maxima 15.5: 10, 13, 14, 19, 22, 26, 45, 47 15.6: 5 , 6, 8, 10, 13, 15 * * Nov. 22 15.7 Maxima and Minima 15.5: 38 15.6: 20, 21, 24, 26, 27, 28, 31, 38, 39, 42 * * Nov. 29 15.8 Lagrange Multipliers 15.6: 52 15.7: 1, 4,7, 12, 18, 27, 41, 46, 49 * * Dec. 1 Review Review for final 15.7: 30, 33 15.8: 1, 7, 9, 34 This homework will not be graded, but this material is still fair game for the final. * * * Dec. 2-6 Office Hours Leibon (308 Braley) Caufield (1-I Bradley) Bourke (1-B Bradley) Brown (1-J Bradley) Question Answer Session (Bradley 101) Th 5-6 P.M., Sun 12-2 P.M. Fri 12-3 P.M. Mon 3-6 P.M. Th 1-4 P.M. Sun 7-8:30 P.M. * * Dec. 7 Final Exam 11:30-2:30 Filene Auditorium Moore hall * *