3.2.2 Dirty paper coding. Dirty paper coding is known to be the sum-rate capacity-achieving technique in MU MIMO downlink. Hence, it is used as an upper bound for the suboptimal, linear techniques. As a nonlinear technique, DPC is based on the idea of known interference precancelation while serially encoding user signals. 2 ACTIVITY: Comparing Linear and Nonlinear Functions Use what you learned about comparing linear and nonlinear functions to complete Exercises 3 – 6 on page 270. IN YOUR OWN WORDS How can you recognize when a pattern in real life is linear or nonlinear? Describe two real-life patterns: one that is linear and one that is nonlinear.

2.2 Linear And Nonlinear Relationsmr. Mac's Page Key
2.2 Linear And Nonlinear Relationsmr. Mac's Page Examples

2.2 Linear And Nonlinear Relationsmr. Mac's Page Key

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

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 Examples

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