M141. Homeworks assigned. Dr. Leisinger, Spring 2014. Updated 5/14/2014, 11:21 pm. Name of this file: http://math.umb.edu/~aleising/M141/Homeworks.txt ============================================================= Syllabus for course: Math_141_Syllabus.txt http://math.umb.edu/~aleising/M141/Math_141_Syllabus.txt Note that other information for this course is provided in Homework #0, below ============================================================= TUTORING: See Tutoring.txt in this directory ============================================================= Please note that the numbers below in the first column are the homework # for each assignment ! ======= NOTE: "*" means "written work" HW#, Date Date Assignment Assigned Due 0:12/30 1/30 Read http://www.math.umb.edu/~aleising/General_Information.txt and follow the directions there (DO YOU UNDERSTAND THAT THIS IS Homework #0 ?) (The Homework # is found in the first column three lines back) Also: read: http://www.math.umb.edu/~aleising/Preparation_For_My_Classes.txt 1:1/27 1/30 Inventory Test. * M141_InventoryTest.docx (found in this directory) Also, please review the file Math_141_assignments.pdf found in this directory. 2:1/28 1/30 Get a textbook and a HW notebook. 3:1/28 1/30 Areas Between Curves, $5.1 #1,15,17,25,55 {5 problems} See Math_141_assignments.pdf; * the assignment is listed there. 4:2/2 2/04 Volumes. $5.2 #5,9,12,17,39,64 {6 problems} See Math_141_assignments.pdf; * the assignment is listed there. 6:2/2 2/04 Work. $5.4, #3,9,13,21 {4 problems} See Math_141_assignments.pdf; * the assignment is listed there. 5:2/2 2/11 Volumes by Shells. $5.3 #1,3,9,13,17,43 {6 problems} See Math_141_assignments.pdf; * the assignment is listed there. Start working on this assignment. It will be due on 2/11. Your HW notebooks will be returned on 2/6. Expect a quiz on (easy) problems like those of HW4 and HW6. 5.5:2/8 2/11 Average Value of a Function, section 5.5 Read pp 373-375 (section 5.5) * p375, section 5.5, #1-5,#20,#23. {7 problems} NOTE: THE NEXT ASSIGNMENT HAS BEEN RE-NUMBERED (old number was HW#6) 7:2/8 2/11 Exponential Growth and Decay, section 6.5 Read section 6.5 pp.445-450, including examples 1-3. * section 6.5, #3,9 See Math_141_assignments.pdf; * the assignment is listed there. * BUT ALSO DO section 6.5, p452 #11. {total of 3 problems} NOTE: THE NEXT ASSIGNMENT HAS BEEN RE-NUMBERED (old number was HW#7A ) 8A:2/11 2/13 Inverse Trig. Functions, section 6.6. These problems should be done on sheets of paper cut to the correct size to fit into your HW notebook with glue or tape. Be prepared to sketch ArcSin(x), ArcCos(x), ArcTan(x) and to give the domain and range of each. * For 2/13/2014, do the problems #1,7,8,23,29,38; {6 problems} Problems #61,67, and 69 are not due yet. NOTE: THE NEXT ASSIGNMENT IS EXPANDED & RE-NUMBERED (old number was HW#8A ) 9:2/11 2/13 L'Hopital's rule, section 6.8 CAREFULLY: learn the conditions for which L'Hopital's rule is true. (see box, p470, in section 6.8) Be prepared for a quiz on this box on p470. Study the examples #1-5 up to p473. These cover the "0/0" and "infinity/infinity" cases. * do problems #7,11,19 ONLY. * also do problems #51,59,65 <<===== ADDED 2/21/2014 {total of 6 problems} ===== FOR 2/25, expect a quiz covering: ===== (a) L'Hopital's rule (b) Integration by parts (just the type of problems assigned in HW#10A) (c) Definitions of Inverse Trig Functions ArcSin, ArcCos, ArcTan (d) Definition of the limit of a sequence. [see p.716,definition #2]. 10A:2/21 2/25 Integration by Parts, part A. Read section 7.1 up to page 490. Do problems #5,15,17 ONLY in this section.{3 problems} The remaining problems will be assigned later. 16A:2/21 2/25 Sequences. Carefully read section 11.1 (Sequences). Pay special attention to the part of page 722 called "the COMPLETENESS AXIOM for the Real Numbers". We are going to discuss this in class on 2/25. *See Math_141_assignments.pdf; * the assignment is listed there. Please work the assigned problems up to #43 by 2/25. # 1,9,12,15,18,23,31,37 {8 problems} THE PROBLEMS numbered above 46 are due on 3/04. << NOTE CHANGE 10B:2/25 3/04 Integration by Parts, part B. Finish the problems on HW#10 in Math_141_assignments.pdf; * the assignment is listed there. #11,21,23,27,29,31,39,47,49,50 {10 problems} 16B:2/25 3/04 Sequences, part B. Finish the problems on HW#16 in # 47,49,53,77,82 {5 problems} Math_141_assignments.pdf; * the assignment is listed there. 17:3/04 3/06 Series (Section 11.2) ==> Expect a quiz much like the previous quiz (Q2.05) on 3/06. See Math_141_assignments.pdf; * the assignment is listed there. These are those problems; but ALSO #87 * Section 11.2#1,15,19,29,31,33,41,43,44,53,61,67,(79) AND 87 {14 problems} Please begin working on this assignment. I will collect it when I collect the HW notebooks on 3/11. __:3/09 3/11 No additional assignment due on 3/11. Catch up with any previous missing assignments. Please REVIEW everything up to this point. Go over the previous quiz, and be prepared for a quiz covering everythin up to section 11.2. You may if you choose, begin working on the assignments in sections 11.3,11.4,11.5,11.6 18:3/09 3/13 The Integral Test for Series. * Section 11.3: #3,7,15,19,23,29,38 {7 problems} [same as HW#18 in Math_141_assignments.pdf ] 19:3/09 3/13 The Comparison Tests * Section 11.4: #3,5,9,19,29,31,39,43 {8 problems} [same as HW#19 in Math_141_assignments.pdf ] 20:3/09 3/25 Alternating Series * Section 11.5: #2,7,11,17,19,25 {6 problems} [same as HW#20 in Math_141_assignments.pdf ] 21:3/09 3/25 Absolute Convergence and Ratio/Root tests * Section 11.6: #3,7,11,15,17,21,29,31,45 {9 problems} [same as HW#21 in Math_141_assignments.pdf ] << note correction 8B:3/11 3/25 Inverse Trig. Functions, section 6.6., part II. * Problems #61,#67,#69 {5 problems} 22:3/13 3/25 Strategy for testing series: * Section 11.7 #3,7,13,23,25,36 {6 problems} [same as HW#22 in Math_141_assignments.pdf ] 23:3/13 3/25 Power Series * Section 11.8 #9,13,15,25,27,29,31,41 {8 problems} [same as HW#23 in Math_141_assignments.pdf ] 24:3/13 3/27 Functions Represented as Power Series * Section 11.9 #7,11,17,19,25,39 {6 problems} [same as HW#24 in Math_141_assignments.pdf ] 25:3/13 4/10 Taylor Series * Section 11.10. #3,4,9,17,31,33,37,49,57,67,69 {11 problems} [same as HW#25 in Math_141_assignments.pdf ] 25A:3/16 3/27 Mathematical Biography << CHANGED: NOT HW#26 See "MathBio.txt" on this directory. Be sure to select your mathematician SOON. 26:3/28 4/01 Separable Differential Equations * Section 9.3. #1,5,9,11,13,22 {6 problems} [same as HW#26 in Math_141_assignments.pdf ] 27:4/01 4/03 Arc Length * Section 8.1. #9,13,15,17,35 {5 problems} [same as HW#27 in Math_141_assignments.pdf ] 28:4/05 4/08 Parametric Curves * Section 10.1. #11,15,37 {3 problems} [same as HW#28 in Math_141_assignments.pdf ] 29:4/05 4/08 Calculus with Parametric Curves * Section 10.2. #41,43 {2 problems} 25B:4/09 4/10 More Taylor Series. * Section 11.10. #5,7,10,13,16,20,43 {7 problems} NOTE: for #43, be sure to convert 5 degrees into radians! * AND ONE MORE PROBLEM: * Find the first 6 terms of the MacLaurin Series for ArcTan(x) * Then, find ArcTan(0.1) using that series. * Finally, use a calculator to find ArcTan(0.1) * Compare the results. 32:4/12 4/15 Complex Numbers Read Appendix H (pp A55-A61) Notes: the Complex Conjugate of (a+bi) is (a-bi). The Modulus of (a+bi) is sqrt(a^2+b^2) The Argument of (a+bi) is arcTan (b/a) [it isn't unique] * Appendix H, p A61 #3,4,9,11,15,25,29,33,39,45,50 {11 problems} [same as HW#32 in Math_141_assignments.pdf but #3,#4 added] 13A:4/12 4/15 Partial Fraction Decomposition Read section 7.4 * Section 7.4 #1,4,7,11 {4 problems} [The first part of HW#13 in Math_141_assignments.pdf] 30:4/16 4/22 Polar Coordinates * Section 10.3 #3,5,25,31,39,45,54 {7 problems} [same as HW#30 in Math_141_assignments.pdf ] 13B:4/20 4/22 Partial Fraction Decomposition * Section 7.4 #15,19,21,23,33,37,41,53,63 {9 problems} [The second part of HW#13 in Math_141_assignments.pdf] Prepare for quizzes on 4/22 on these topics: 1. Complex numbers 2. Partial Fraction Decomposition 3. Polar Coordinates (but no calculus of polar coords) Prepare for a second quiz on Power Series, Taylor Series, which will be given on 4/24/2014. 31:4/24 4/29 Areas in polar coordinates Read section 10.4 * Section 10.4 #5,7,9,17,21,27,31 {7 problems} [same as HW#31 in Math_141_assignments.pdf ] 11:4/29 5/01 Trigonometric Integrals Read section 7.2 * section 7.2 #1,7,15,21,23,27,29,31,39,47,49,50 [same as HW#11 in Math_141_assignments.pdf ] 12:4/29 5/06 Trigonometric substitution * section 7.3 #3,5,9,11,13,19,21,23,27,29,37 [same as HW#12 in Math_141_assignments.pdf ] 14:4/29 5/06 Strategy for integration * section 7.5 #8,19,21,49,77,83 [same as HW#14 in Math_141_assignments.pdf ] 15:4/29 5/06 Improper Integrals * section 7.8 #1,7,11,21,23,39,49,53 [same as HW#15 in Math_141_assignments.pdf ] ======================= REVIEW FOR FINAL EXAM =================== Math 141 Review: 5:30-9 pm, Thursday, 5/15/2014--Leisinger Place: Wheatley 1-0005 ======================= FINAL EXAM =================== Date: Friday, May 23, 2014. Time: 6:30pm-9:30pm. Place: Wheatley W01-0004 ======================= FINAL EXAM ===================