M134. Homeworks assigned. Dr. Leisinger, Summer 2015. Updated 8/18/2015: added problem counts to later assignments. No changes to assignments Updated 8/12/2015, 3:55 pm ONLY CHANGE: $11.6, ADDED #29,31,33,35,37,39 8/12/2015 ================================================ FINAL EXAM Thursday, August 20, 2015 in class. DO NOT MISS THIS EXAM !!!!!!!!!!! ================================================ Name of this file: http://math.umb.edu/~aleising/M134/Homeworks.txt ============================================================= Tutoring for course: see "Tutoring.txt" file in this directory ============================================================= Please note that the numbers below in the first column are the homework # for each assignment ! In the list of homework below, " * " indicates written work. HW#, Date Date Assignment Assigned Due 0:6/11 7/13 Read http://www.math.umb.edu/~aleising/General_Information.txt and follow the directions there. [ ARE YOU AWARE THAT THIS IS HW#0 ??? ] [ HOW DO YOU KNOW ??? ] You should also read the file: http://www.math.umb.edu/~aleising/Preparation_For_My_Classes.txt 1:6/11 7/13 * Take the diagnostic test "InventoryTest_B.pdf" [ ARE YOU AWARE THAT THIS IS HW#1 ??? ] found on this website. [ Note: this is a .pdf file. In order to read it, ] [ Please install a free Adobe Acrobat Reader on your machine. ] * Write your work in neat format to be turned in at the first class. 2:6/26 7/13 Learn the multiplication facts up to 9x9. 3:6/26 7/13 COURSE PREREQUISITE DOCUMENT Bring to the first class proof that you have completed one of the prerequesites for the course. Acceptable documents are: (a) Printout of an ALEKS Math placement test result, with your name PRINTED IN INK AT THE TOP (b) Printout of your UMB transcript, showing successful completion of Math-129 or Math-130 (c) Printout of a transcript from another institution showing completion of a similar precalculus level class. 4:6/26 7/14 Number Systems, and the Field of Real Numbers THIS HOMEWORK IS TO BE DONE IN YOUR HW NOTEBOOK. MAKE SURE IT IS IN CORRECT FORMAT. Learn the contents of: (a) NumberSystems_Notes.pdf , pp 1,2 (in this directory) * Do the "exercise" found at the very bottom of p.2 You may read p. 3 and attempt the challenge problem if you like. 5:6/26 7/14 HW Notebook Format You will receive credit for this assignment when your HW notebook is in correct format. 9.1: 7/15 * $9.1 #24,36,46,50,54,78 (6 problems; to be graded) On loose half-sheets of paper 9.2: 7/15 * $9.2 #20,24,34,60,68 (5 problems; to be graded) On loose half-sheets of paper 9.3: 7/16 * $9.3 #6,22,24,30 (4 problems; to be graded) On loose half-sheets of paper 9.4: 7/20 * $9.4 # 10, 24, 42, 46, 54 (5 problems; to be graded) In notebook. 9.5: 7/22 * $9.5 #1-4,9,14-20,23,24,27,28,35-40, 45,46,49,50,55,56,59-61. (29 problems) On loose half-sheets of paper, to be taped into notebook. 9.6: 7/23 * $9.6 #3,7-12,15-18,and ODD#21-35,59,63,65,73 (23 problems) NOTE: I have appropriate calculators available for $10. IF YOU WANT ONE, Please bring $10 to class on Monday. 9.7: 7/27 $9.7 Study the examples. Especially notice: D( ln(f(x)) ) = f'(x) / f(x). This is called the "logarithmic derivative formula" *9.7#1-10;odd problems 13-27,31-45,53-59; 60,71,72 (33 problems) Due to time constraints, we will skip $9.8. 10.1: 7/28 Applications of the First Derivative. (24 problems) Learn: Intervals of increase/decrease Relative minima/maxima (relative extrema) Critical number; critical point First Derivative Test * 10.1. Concept Questions 1-5 * 10.1.Exercises:Odd#1-7;11;Odd#13-27,41-47;53,55,59,60,63,64,93 10.2: 7/29 Applications of the Second Derivative (29 problems) Learn: Concave Upward/Downward on (a,b) Theorem 2 (Second derivative test for concavity) Inflection point (see pictures) Second Derivative test for a relative max/min * 10.2.Exercises Odd#1-7,11,13;Odd#25-41,49-59,67-75,105,109,110 10.3: 7/30 Curve Sketching (11 problems) Consult "Guide to Curve Sketching", $10.3 after example 2. Read "Curve Sketching Example.pdf" in this directory. * 10.3 Exercises: #5,7,9,10,15,25. #37,43,45,51,69. 10.4: 8/3 Optimization (12 problems) Learn: Extreme Value Theorem. You will need a calculator for #60. * 10.4 #1,5,7,8; #9,15,21,22,35,37,40,60 11.1: 8/4 Antiderivatives. (34 problems) * $11.1 #1,2,9-20,23-30; ODD #35-49;51,55,58,80,89 Note: This is a long assignment. If it takes you two days, that's OK. 11.2: 8/5 Integration by Substitution (23 problems) * $11.2 ODD #1-13,#17-39; #40,67,68 11.3: 8/6 Area and the Definite Integral (5 problems) * $11.3 #1,3,4,5. #7 parts a,b,d. 11.4: 8/10 The Fundamental Theorem of Calculus (16 problems) * $11.4 ODD #1,3,5,15-35,55,59 11.5A: 8/11 Evaluating definite integrals. $11.5 * Study example 1 very carefully. COPY IT IN YOUR HW notebook. 11.5B: 8/11 Evaluating definite integrals. (16 problems) * $11.5 ODD #1-27; #74,75,76. 11.6: 8/12 Area between two curves (19 problems) NOTE THAT I HAVE ADDED #29,31,33,35,37,39 8/12/2015 * $11.6 ODD #1-39 11.7: 8/13 Application of Definite Integral to Business & Economics * $11.7 #1,5,11,13,15,19,23,25. (8 problems) Note: credit will be given for this homework. Due to lack of time, I won't teach, nor test on, this material. 12.1: 8/17: Functions of Several Variables (10 problems) Concepts to know: (a) Functions of two variables Study Examples 1,2 (b) Graphs of functions of two variables Study Examples 5,6 (c) Level Curves * $12.1 #1,11,13,14,15;19,23,25,29,31. 12.2: 8/17: Partial Derivatives (8 problems) * $12.2 #1,3,7,11,17,25,31,35. 12.3: 8/17: Max/Min of functions of several variables. (5 problems) Concepts to know: (a) Definition of critical point (2 variables) (b) Matrix of second partial derivatives (c) D = Determinant of Matrix of Second Partials. (d) Second Derivative Test (2 variables) * $12.3 #1,5,11,17,26 =============== END OF HOMEWORK ASSIGNMENTS =====================