MTH16_MTE1_Review.pptx 1 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Bruce Mayer, PE Licensed Electrical & Mechanical Engineer MTH 16 MidTerm Exam-4 Review

MTH16_MTE1_Review.pptx 2 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Student Reference Card  Student Reference CARD = A 3"x5" Flash-Card upon which the student may write ANYTHING that he/she thinks might help him/her do better on the MidTerm Exam

MTH16_MTE1_Review.pptx 3 Bruce Mayer, PE Mathematics 16: Applied Calculus-II P10RE-6  Find Sum

MTH16_MTE1_Review.pptx 4 Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MTH16_MTE1_Review.pptx 5 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Check by MATLAB % Bruce Mayer, PE % MTH-15 01Aug13 Rev 11Sep13 % MTH15_Quick_Plot_BlueGreenBkGnd_ m % clear; clc; clf; % clf clears figure window % n= 1:20 T = 2.^(n+1)./3.^(n-1) for k =1:length(n) Tk = T(1:k) Sn(k) = sum(Tk) end ymin =0; ymax = max(Sn); % the Range Limits R = ymax - ymin; ymid = (ymax + ymin)/2; ypmin = ymid *R/2; ypmax = ymid *R/2 % % axes; set(gca,'FontSize',12); stairs(n,Sn, 'LineWidth', 3),grid, axis([0 n(end) 0 ypmax]),... xlabel('\fontsize{14}n'), ylabel('\fontsize{14}\Sigma2^(^n^+^1^)/3^(^n^- ^1^)'),... title(['\fontsize{16}MTH16 Bruce Mayer, PE',]),... annotation('textbox',[ ], 'FitBoxToText', 'on', 'EdgeColor', 'none', 'String', 'MTH15 Quick Plot BlueGreenBkGnd m','FontSize',7)

MTH16_MTE1_Review.pptx 6 Bruce Mayer, PE Mathematics 16: Applied Calculus-II P10RE-18  Conv Test

MTH16_MTE1_Review.pptx 7 Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MTH16_MTE1_Review.pptx 8 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Check by MATLAB % Bruce Mayer, PE % MTH-15 01Aug13 Rev 11Sep13 % MTH15_Quick_Plot_BlueGreenBkGnd_ m % clear; clc; clf; % clf clears figure window % n= 2:50 T = 1./(n.^2 - 1) for k =1:length(n) Tk = T(1:k) Sn(k) = sum(Tk) end ymin =0; ymax = max(Sn); % the Range Limits R = ymax - ymin; ymid = (ymax + ymin)/2; ypmin = ymid *R/2; ypmax = ymid *R/2 % axes; set(gca,'FontSize',12); stairs(n,Sn, 'LineWidth', 3),grid, axis([1 n(end) 0 ypmax]),... xlabel('\fontsize{14}n'), ylabel('\fontsize{14}\Sigma 1/(n^2-1)'),... title(['\fontsize{16}MTH16 Bruce Mayer, PE',]),... annotation('textbox',[ ], 'FitBoxToText', 'on', 'EdgeColor', 'none', 'String', 'MTH15 Quick Plot BlueGreenBkGnd m','FontSize',7)

MTH16_MTE1_Review.pptx 9 Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MTH16_MTE1_Review.pptx 10 Bruce Mayer, PE Mathematics 16: Applied Calculus-II u

MTH16_MTE1_Review.pptx 11 Bruce Mayer, PE Mathematics 16: Applied Calculus-II − − −

MTH16_MTE1_Review.pptx 12 Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MTH16_MTE1_Review.pptx 13 Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MTH16_MTE1_Review.pptx 14 Bruce Mayer, PE Mathematics 16: Applied Calculus-II P  Pennies

MTH16_MTE1_Review.pptx 15 Bruce Mayer, PE Mathematics 16: Applied Calculus-II