MATH 450 Home Page

• Monday, 31
  Introduction to Applied Mathematics and Modeling

• Wednesday, 2
  Sections 1.1-1.2 - Dimensional analysis
  Atomic explosion blast wave speed
• Friday, 4
  Section 1.2 - Buckingham Pi Theorem
  Motion in a constant gravitational field
  Homework #1 Due
  
  
  

  ---

  
  
• Monday, 7
  Labor Day Holiday - No class
• Wednesday, 9
  Section 1.2 - Proof of the Buckingham Pi Theorem
• Friday, 11
  Section 1.3 - Scaling
  Batch chemical reactor
  
  

  ---

  
  
• Monday, 14
  Section 1.3 - Scaling
  Batch chemical reactor
  Homework #2 Due
  
• Wednesday, 16
  Section 1.3 - Scaling
  Vertical motion in a constant gravitational field
  Convection-diffusion
  
• Friday, 18
  Section 1.3 - Scaling
  Convection-diffusion
  Population dynamics
  Homework #3 Due
  
  
  

  ---

  
  
• Monday, 21
  Section 1.3 - Scaling
  Batch chemical reactor with a nonlinear reaction rate
  Vertical motion in a constant gravitational field with air resistance
  Population dynamics
  
• Wednesday, 23
  Section 1.3 - Scaling
  Motion of a pendulum
  Population dynamics
  One-dimensional motion in a resistive medium
  Homework #4 Due
  Homework #5 Due
  
• Friday, 25
  Section 2.1 - Regular perturbation
  One-dimensional motion in a resistive medium
  
  
  

  ---

  
  
• Monday, 28
  Section 2.1 - Regular perturbation
  One-dimensional motion in a resistive medium
  
• Wednesday, 30
  Section 2.1 - Regular perturbation - Secular terms
  Nonlinear oscillator
  

• Friday, 2
  Section 2.1 - Regular perturbation - Poincare-Lindstedt method
  Nonlinear oscillator
  Homework #6 Due
  
  
  

  ---

  
  
• Monday, 5
  Section 2.1 - Regular perturbation - Convergence
  
• Wednesday, 7
  Section 2.2 - Singular perturbation - Algebraic equations
  
• Friday, 9
  Section 2.2 - Singular perturbation - Differential equations
  Homework #7 Due
  
  
  

  ---

  
  
• Monday, 12
  No class
• Wednesday, 14
  Section 2.3 - Boundary layer analysis - Inner and outer approximations
  
• Friday, 16
  Section 2.3 - Boundary layer analysis - Matching inner and outer approximations
  
  
  

  ---

  
  
• Monday, 19
  Section 2.4 - Applications
  Damped harmonic oscillator
  Homework #8 Due
  
• Wednesday, 21
  Section 2.4 - Applications
  Damped harmonic oscillator
  
• Friday, 23
  Section 2.4 - Applications
  Damped harmonic oscillator
  Chemical kinetics
  Homework #9 Due
  
  
  

  ---

  
  
• Monday, 26
  Section 2.4 - Applications
  Chemical kinetics
  
• Wednesday, 28
  Make-up class for 10/12 at 8 am - Regular class at 9 am
  Section 2.4 - Applications
  Chemical kinetics
  
• Friday, 30
  Bacterial growth
  Homework #10 Due
  
  
  

  ---

  
  

• Monday, 2
  Biofilm models
  
• Wednesday, 4
  Biofilm models
  
• Friday, 6
  No class
  
  

  ---

  
  
• Monday, 9
  Section 2.5 - WKB Approximation
  Quantum mechanics - Time-dependent Schrodinger equation
  
• Wednesday, 11
  Veteran's Day Holiday - No class
• Friday, 13
  Section 2.5 - WKB Approximation
  Quantum mechanics - Time-independent Schrodinger equation
  
  
  

  ---

  
  
• Monday, 16
  Section 2.5 - WKB Approximation
  Section 7.1 - Stability and bifurcation - Phase plane
  Population dynamics - Logistic growth
  
• Wednesday, 18
  Section 7.1 - Stability and bifurcation - Linear stability analysis
  Population dynamics - Logistic growth
  
• Friday, 20
  Section 7.1 - Stability and bifurcation - Bifurcation diagram
  Population dynamics - Logistic growth with harvesting
  
  
  

  ---

  
  
• Monday, 23
  Section 7.1 - Stability and bifurcation
  Chemotaxis of amoebae
  
• Wednesday, 25
  Midterm Exam
  
• Friday, 27
  Thanksgiving Holiday - No class
  
  

  ---

  
  
• Monday, 30
  Section 7.1 - Stability and bifurcation
  Chemotaxis of amoebae - Arbitrary control volumes
  

• Wednesday, 2
  Section 7.1 - Stability and bifurcation
  Chemotaxis of amoebae - Fickian diffusion and flux functions
  
• Friday, 4
  Section 7.1 - Stability and bifurcation
  Chemotaxis of amoebae - Linear stability analysis
  
  
  

  ---

  
  
• Monday, 7
  Section 7.2 - One-dimensional problems - stability and bifurcation
  Homework #11 Due
  Homework #12 Due
  
• Wednesday, 9
  Section 7.2 - One-dimensional problems - Linear stability and linearization
  
• Friday, 11
  Section 7.2 - One-dimensional problems - Classification of bifurcation points and exchange of stability
  Homework #13 Due
  
  
  

  ---

  
  

Homework, projects, quizzes, and tests

• Read Sections 1.1-1.3
• Section 1.1, #1, 2
• Section 1.2, #2, 3, 4
• Section 1.3, #7, 9, 10

Homework #1, Section 1.1, #1, 2 Due Friday 9-4

Homework #2 Due Monday 9-14

Homework #3, Section 1.3, #7, 10 Due Friday 9-18

Homework #4 Due Wednesday 9-23

Homework #5, Section 1.3, #9 Due Wednesday 9-23

Chapter 2 Homework

• Read Sections 2.1-2.5
• Section 2.1, #1, 3a,b,f,g, 5a, 7, 9, 10
• Section 2.2, #1a, 2
• Section 2.3, #2b, 3
• Section 2.4, #2, 3a
• Section 2.5, #1, 4, 8

Homework #6 Due Friday 10-2

Homework #7, Section 2.1, #1, 3a,b,f,g, 5a, 7, 9, 10 Due Friday 10-9

Homework #8, Section 2.2, #1a, 2 Due Monday 10-19

Homework #9, Section 2.3, #2b, 3 Due Friday 10-23

Homework #10, Section 2.4, #2, 3a Due Friday 10-30

Midterm Exam, Chapters 1 & 2, Wednesday, Nov. 25

Homework #11 Due Monday 12-7

Chapter 7 Homework

• Read Sections 7.1-7.2
• Section 7.1, #1, 2
• Section 7.2, #1a,e, 2a, 3, 5c, 7b

Homework #12, Section 7.1, #1, 2 Due Monday 12-7

Homework #13, Section 7.2, #1a,e, 2a, 3, 5c, 7b Due Friday 12-11