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[email protected] MTH16_MTE1_Review.pptx 1 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Bruce Mayer, PE Licensed Electrical & Mechanical Engineer [email protected] MTH 16 MidTerm Exam-4 Review
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Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

Feb 15, 2016

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MTH 16. MidTerm Exam-4 Review. Bruce Mayer, PE Licensed Electrical & Mechanical Engineer [email protected]. Student Reference Card. - PowerPoint PPT Presentation
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Page 1: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx1

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Bruce Mayer, PELicensed Electrical & Mechanical Engineer

[email protected]

MTH 16

MidTerm

Exam-4Review

Page 2: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx2

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

Page 3: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx3

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

P10RE-6 Find Sum

Page 4: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx4

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 5: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx5

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Check by MATLAB

0 5 10 15 200

2

4

6

8

10

12

n

2(n

+1) /3

(n-1

)MTH16 • Bruce Mayer, PE

MTH15 Quick Plot BlueGreenBkGnd 130911.m

% Bruce Mayer, PE% MTH-15 • 01Aug13 • Rev 11Sep13% MTH15_Quick_Plot_BlueGreenBkGnd_130911.m%clear; clc; clf; % clf clears figure window%n= 1:20T = 2.^(n+1)./3.^(n-1)for k =1:length(n) Tk = T(1:k) Sn(k) = sum(Tk)endymin =0; ymax = max(Sn); % the Range LimitsR = ymax - ymin; ymid = (ymax + ymin)/2;ypmin = ymid - 1.025*R/2; ypmax = ymid + 1.025*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',[.53 .05 .0 .1], 'FitBoxToText', 'on', 'EdgeColor', 'none', 'String', 'MTH15 Quick Plot BlueGreenBkGnd 130911.m','FontSize',7)

Page 6: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx6

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

P10RE-18 Conv Test

Page 7: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx7

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 8: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx8

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Check by MATLAB

% Bruce Mayer, PE% MTH-15 • 01Aug13 • Rev 11Sep13% MTH15_Quick_Plot_BlueGreenBkGnd_130911.m%clear; clc; clf; % clf clears figure window%n= 2:50T = 1./(n.^2 - 1)for k =1:length(n) Tk = T(1:k) Sn(k) = sum(Tk)endymin =0; ymax = max(Sn); % the Range LimitsR = ymax - ymin; ymid = (ymax + ymin)/2;ypmin = ymid - 1.025*R/2; ypmax = ymid + 1.05*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',[.53 .05 .0 .1], 'FitBoxToText', 'on', 'EdgeColor', 'none', 'String', 'MTH15 Quick Plot BlueGreenBkGnd 130911.m','FontSize',7)

5 10 15 20 25 30 35 40 45 500

0.1

0.2

0.3

0.4

0.5

0.6

0.7

n

1

/(n2 -1

)MTH16 • Bruce Mayer, PE

MTH15 Quick Plot BlueGreenBkGnd 130911.m

Page 9: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx9

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 10: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx10

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

u

Page 11: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx11

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

− −

Page 12: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx12

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 13: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx13

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 14: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx14

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

P11.1-37 Pennies

Page 15: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx15

Bruce Mayer, PE Mathematics 16: Applied Calculus-II