MATH 450 Home Page

• Monday, 30
  Introduction to Applied Mathematics and Modeling

• Wednesday, 1
  Sections 1.1-1.2 - Dimensional analysis
  
• Friday, 3
  Section 1.2 - Buckingham Pi Theorem
  Atomic explosion blast wave speed - Example
  Motion in a constant gravitational field - Homework #1
  Homework #1 Due
  
  
  

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• Monday, 6
  Labor Day Holiday - No class
• Wednesday, 8
  Section 1.3 - Scaling
  Batch chemical reactor - Example
  Homework #2 Due
  
• Friday, 10
  Section 1.3 - Scaling
  Batch chemical reactor - Example
  
  
  

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• Monday, 13
  Section 1.3 - Scaling
  Batch chemical reactor - Example
  
• Wednesday, 15
  Section 1.3 - Scaling
  Population dynamics - Example
  
• Friday, 17
  Section 1.3 - Scaling
  Population dynamics - Example
  Motion in a viscous liquid - Exercise 1.2.2
  Motion of a rocket - Exercise 1.3.6
  Another batch chemical reactor - Exercise 1.3.7
  Motion of a pendulum - Exercise 1.3.10
  Homework #3 Due
  
  
  

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• Monday, 20
  Section 2.1 - Regular perturbation
  Motion in a nonlinear resistive medium - Example 2.1.1
  Thermal convection-diffusion - Homework #4
  Homework #4 Due
  
• Wednesday, 22
  Section 2.1 - Regular perturbation
  Thermal convection-diffusion - Homework #4
  Motion of a pendulum - Exercise 1.3.10
  
• Friday, 24
  Section 2.1 - Regular perturbation
  Motion in a nonlinear resistive medium - Example 2.1.1
  
  
  

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• Monday, 27
  Section 2.1 - Regular perturbation
  Motion in a nonlinear resistive medium - Example 2.1.1
  Motion of a nonlinear oscillator - Example 2.1.2
  Thermal convection-diffusion - Homework #5
  Homework #5 Due
  
• Wednesday, 29
  Section 2.1 - Regular perturbation & oscillatory solutions
  Motion of a nonlinear oscillator - Example 2.1.2
  

• Friday, 1
  Section 2.1 - Regular perturbation & the Poincare-Lindstedt method
  Motion of a nonlinear oscillator - Example 2.1.2
  
  
  

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• Monday, 4
  Section 2.2 - Singular perturbation & algebraic equations
  Motion of a nonlinear oscillator - Exercise 2.1.1
  Perturbation in linear algebraic systens - Exercise 2.1.7
  Motion of a projectile - Exercise 2.1.8
  Motion of a pendulum - Exercise 2.1.9
  Homework #6 Due
  
• Wednesday, 6
  Section 2.2 - Singular perturbation & differential equations
  
• Friday, 8
  Section 2.3 - Boundary layer analysis - Inner and outer approximations
  
  
  

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• Monday, 11
  Section 2.3 - Boundary layer analysis - Matched asymptotics
  Homework #7 Due
  
• Wednesday, 13
  Section 2.4 - Putting it together
  Damped harmonic oscillator - Example
  
• Friday, 15
  Section 2.4 - Putting it together
  Damped harmonic oscillator - Example
  Homework #8 Due
  
  
  

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• Monday, 18
  Section 2.4 - Putting it together
  Chemical kinetics - Example
  
• Wednesday, 20
  Section 2.4 - Putting it together
  Chemical kinetics - Example
  
• Friday, 22
  Section 2.4 - Putting it together
  Chemical kinetics - Example
  
  
  

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• Monday, 25
  Mathematical biology
  Bacterial growth - Example
  Homework #9 Due
  
• Wednesday, 27
  Mathematical biology
  Nutrient limited bacterial growth - Example
  
• Friday, 29
  Mathematical biology
  Nutrient limited bacterial growth - Example
  
  
  

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• Monday, 1
  Biofilm engineering
  Biofilm growth - Example
  
• Wednesday, 3
  Biofilm engineering
  Biofilm growth - Example
  
• Friday, 5
  Midterm Exam
  
  

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• Monday, 8
  Biofilm engineering
  Biofilm growth - Example
  
• Wednesday, 10
  Section 7.1 - Stability
• Friday, 12
  Section 7.1 - Stability & bifurcation
  Homework #10 Due
  
  
  

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• Monday, 15
  Section 7.1 - Stability & bifurcation
  
• Wednesday, 17
  Section 7.1 - Stability & bifurcation
  Chemotaxis of amoebae - Example
  
• Friday, 19
  Section 7.1 - Stability & bifurcation
  Chemotaxis of amoebae - Example
  Homework #11 Due
  
  
  

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• Monday, 22
  Section 7.1 - Stability & bifurcation
  Chemotaxis of amoebae - Example
  
• Wednesday, 24
  Section 7.1 - Stability & bifurcation
  Chemotaxis of amoebae - Example
  Gompertz population growth model - Exercise 7.1.1
  Homework #12 Due
  
• Friday, 26
  Thanksgiving Holiday - No class
  
  

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• Monday, 29
  Section 7.1 - Stability & bifurcation
  Chemotaxis of amoebae - Example
  

• Wednesday, 1
  Section 7.2 - Asymptotic stability
  
• Friday, 3
  Section 7.2 - Classification of bifurcation points
  Temperature in a batch chemical reactor - Example
  
  
  

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• Monday, 6
  Section 7.2 - Classification of bifurcation points
  Section 7.4 - Hydrodynamic stability
  Temperature in a batch chemical reactor - Example
  
• Wednesday, 8
  Section 7.4 - Hydrodynamic stability
  Stratified fluid - Example
  Homework #13 Due
  
• Friday, 10
  Section 7.4 - Hydrodynamic stability
  Stratified fluid - Example
  Homework #14 Due Wednesday, December 15
  
  
  

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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 # 6, 7, 9, 10

Homework #1 Due Friday 9-3

Homework #2, Section 1.1, #1, 2 Due Wednesday 9-8

Homework #3; Section 1.2, #1, 2; Section 1.3, #6, 7, 9, 10 Due Friday 9-17

Homework #4 Due Monday 9-20

Chapter 2 Homework

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

Homework #5 Due Monday 9-27

Homework #6, Section 2.1, #1, 5a, 7, 9, 10 Due Monday 10-4

Homework #7, Section 2.2, #1a, 2 Due Monday 10-11

Homework #8, Section 2.3, #2b, 4, 7c Due Friday 10-15

Homework #9, Section 2.4, #1, 2, 3b Due Monday 10-25

Midterm Exam, Chapters 1 & 2, Friday, Nov. 5

Homework #10 Due Friday 11-12

Homework #11 Due Friday 11-19

Chapter 7 Homework

• Read Sections 7.1-7.2, 7.4
• Section 7.1 # 1, 2
• Section 7.2 # 1a,e, 2a, 3, 5c
• Section 7.4 # 1, 2, 4, 5

Homework #12, Section 7.1, #1, 2 Due Wednesday 11-24

Homework #13, Section 7.2, #1a,e, 2a, 3, 5c Due Wednesday 12-8

Homework #14, Section 7.4, #1, 2, 4, 5 Due Wednesday 12-15