2.2 Linear And Nonlinear Relationsmr. Mac's Page

  1. 1.1 Circuit schematic of a Nonlinear Transmission Line (NLTL) 3 2.1 Model for an infinitesimal section of a transmission line. 9 2.2 Model for an infinitesimal section of a fully distributed NLTL 11 2.3 A periodic structure. 13 2.4 Unit cell of a periodically loaded nonlinear transmission line 14.
  2. The linearization algorithms are simulated for the most linear and most nonlinear parts of the thermocouple characteristic curve. Least-squares, linear, quadratic, and quartic spline polynomial interpolation methods are applied for linearization over the intervals −270 to 0°C and 0–300°C, and the simulation results are given in Figure 11.

2.2 Linear And Nonlinear Relationsmr. Mac's Page Pdf

Math 234 - Applied Mathematics I - Course Outline, Fall, 2014

2.2 linear and nonlinear relationsmr. mac

Represent data using multiple representations, recognize and use linear and non linear (inverse variation) models, use residual analysis, use scatter plots, two way tables, correlation coefficients, and standard deviation. Overview of Changes. Significant changes The CCSS standards for statistics are addressed in this unit. Description of Changes.

2.2 Linear And Nonlinear Relationsmr. Mac

2.2 Linear And Nonlinear Relationsmr. Mac's Page Examples

This is a tentative outline and will be updated at least 24 hours in advance before each class. Lecture notes are posted under the sections.
Exam 1 – Sept 19 Exam 2 – Oct 8 Exam 3 – Oct 31 Exam 4 – Nov 21

2.2 Linear And Nonlinear Relationsmr. Mac's Page Example

Date

Topic/Section

Assignments

Aug 27

Matrix algebra/(8.1)


Lecture Notes

Homework 1:

Page 362: 5, 9, 11, 13, 17, 21,

23, 29, 37, 38

Turn in the following on

Friday, Aug 29 -

Page 362: 12, 18, 22(c)

Aug 29

Systems of Linear Equations/(8.2)


Lecture Notes

Homework 2:

Page 375: 3, 5, 9, 11, 15, 21

Turn in the following on

Tuesday, Sept 2 -

Page 375:

Use Gaussian Elimination and

Backward Substitution to solve the

systems.Specify each elementary

row operation and verify each

solution:

6,12 (general solutions), 14

Sept 1

Systems of linear equations/(8.2)

Sept 2

Systems of linear equations/(8.2)

Homework 3:

Sept 3

Rank of a Matrix/(8.3)


Lecture Notes

Sept 5

Rank of a Matrix/(8.3)

Sept 8

Determinants and Properties/(8.4),(8.5)


Lecture Notes

Sept 9

Inverse of a Matrix/(8.6)


Lecture Notes

Sept 10

Inverse of a Matrix/(8.6)

Sept 12

Cramer's Rule/(8.7)


Lecture Notes

Sept 15

Eigenvalue Problem/(8.8)


Lecture Notes

Sept 16

Eigenvalue Problem/(8.8)

(b) applications

Sept 17

Review for Hour Exam #1: Section (8.1)-(8.8)

Sept 19

Sept 22

Applications and Uses of Technology


Lecture Notes (pdf)
Traffic Flows (pdf)
Lecture Notes (tex)

Sept 23

Definitions and terminology/(1.1)-(1.2)

Sept 24

Solution curves without the solution/(2.1)


Lecture Notes on Solution Curves

Sept 26

Separable variables/(2.2)


Lecture Notes on Separable Equations

Sept 29

Linear differential equations/(2.3)


Lecture Notes on 1st-Order Linear Diff. Equations

Sept 30

Exact Equations/(2.4)


Lecture Notes on exact Linear Diff. Equations

Oct 1

Exact Equations/(2.4)

Oct 3

Solutions by substitutions/(2.5)

Lecture Notes on Substitution

Oct 6

Solutions by substitutions/(2.5)

Oct 7

Review for Hour Exam #2:
Section (1.1)-(1.2),(2.1)-(2.5)

Oct 8

Hour Exam #2:
Section (1.1)-(1.2),(2.1)-(2.5)

Oct 10

No Class (Open House for Parents)

Oct 13

Higher-order differential equations/(3.1)

Oct 14

Reduction of order/(3.2)

Oct 15

Homogeneous linear equations with constant coefficients/(3.3)

Oct 17

Homogeneous linear equations with constant coefficients/(3.3)

Oct 20

Nonhomogeneous linear equations/(3.4)

Oct 21

Nonhomogeneous linear equations/(3.5)

Oct 22

Leadership Day (no class)

Oct 24

Cauchy-Euler equations/(3.6)

Oct 27

Systems of linear differential equations and
Homogeneous Linear Systems/(10.1)(10.2)

Oct 28

Homogeneous Linear Systems/(10.2)

Oct 29

Review for Hour Exam #3
Section (3.1)-(3.6), (10.1)-(10.2)

Oct 31

Nov 3

Nonhomogeneous linear systems/(10.4)

Nov 4

Election Day (no class)

Nov 5

Laplace transform/(4.1)

Nov 7

Inverse of a Laplace transform/(4.2)

Nov 10

Laplace transform of a derivative/(4.2)

Nov 11

Translation Theorems/(4.3)

Nov 12

Translation Theorems/(4.3)

Nov 14

Translation Theorems/(4.3)

Nov 17

Properties of Laplace Transforms/(4.4)

Nov 18

Properties of Laplace Transforms/(4.4)

(b) solving differential-integral equations

Nov 19

Review for Hour Exam #4:
Section (10.1)-(10.4),(4.1)-(4.4)

Nov 21

Hour Exam #4:
Section (10.1)-(10.4),(4.1)-(4.4)

Thanksgiving break!

Dec 1

Properties of Laplace Transforms/(4.4)

Dec 2

Dirac Delta Functions/(4.5)

Dec 3

Solving differential equations using Laplace Transform/(4.6)
Lecture Notes

Dec 5

Solving differential equations using Laplace Transform/(4.6)

Dec 8

Solving differential equations using Laplace Transform/(4.6)

Dec 9

Review for final

Dec 10

Review for final

Dec 17

(Wednesday) Final Exam - 1:00pm - 4:00pm