Assignment schedule:

THESE WEBPAGES DESCRIBE HOW THIS COURSE WILL BE RUN.
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Homework: Typically there will be one homework per week. The HW will be posted here every Tuesday (at the latest) and is due the following Thursday night and must be submitted in Gradescope (access through Canvas). In some occasions the HW will be posted earlier so you are encouraged to start on it earlier. Late HW will not be accepted.

Assignments:

 
Week #
 Topics: Sec.: Exercises: Due:
01
 27-29/08
Chapter 1: Introduction
1.1 Some Basic Mathematical Models; Direction Fields
1.2 Solutions of Some Differential Equations
1.3 Classification of Differential Equations
1.1-1.3
    HW#01:
  • HW#01 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 05 Sep
02
 03-05/09
1.3 Classification of Differential Equations

Chapter 2: First Order Differential Equations
2.1 Linear Equations; Method of Integrating Factors
1.3, 2.1
    HW#02:
  • HW#02 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 12 Sep
03
 10-12/09
2.2 Separable Equations
2.3 Modeling with First Order Equations
2.4 Differences Between Linear and Nonlinear Equations
2.4 Existence and Uniqueness
2.2-2.4
    HW#03:
  • HW#03 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 19 Sep
04
 17-19/09
2.4 Existence and Uniqueness
2.5 Autonomous Differential Equations and Population Dynamics:
  Exponential growth + Logistic Eq.
  Equilibrium points + Stability of equilibria
  Critical thresholds + Allee effect
2.6 Exact Differential Equations and Integrating Factors
2.4-2.6
    HW#04:
  • HW#04 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 26 Sep
05
 24-26/09
2.6 Exact Differential Equations and Integrating Factors
2.7 Numerical Approximations: Euler's Method
2.8 The Existence and Uniqueness Theorem (proof)
2.9 First-Order Difference Equations

Chapter 3: Second Order Linear Equations
3.1 Homogeneous Equations with Constant Coefficients
3.2 Solutions of Linear Homogeneous Equations; the Wronskian
2.6, 2.7, 3.1, 3.2
    HW#05:
  • STUDY FOR MT#1
  • HW#05 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 08 Oct
06
 01-03/10
3.2 Solutions of Linear Homogeneous Equations; the Wronskian
3.3 Complex Roots of the Characteristic Equation
Review MT#1
MT#1
3.2, 3.3
    HW#06:
  • HW#06 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 10 Oct
MT#1
 03/10
MIDTERM#1, Thursday October 3rd
Chaps 1+2
    MT#1:
  • Chap 1 (all)
  • Chap 2 (all, except Secs. 2.7,2.8,2.9)
 
07
 08-10/10
3.3 Complex Roots of the Characteristic Equation
3.4 Repeated Roots; Reduction of Order
3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients
3.3, 3.4, 3.5
    HW#07:
  • HW#07 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 17 Oct
08
 15-17/10
3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients
3.6 Variation of Parameters
3.7 Mechanical and Electrical Vibrations
3.5, 3.6, 3.7
    HW#08:
  • HW#08 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 24 Oct
09
 22-24/10
3.8 Forced Vibrations + Resonance

Chapter 4: Higher Order Linear Equations
4.1 General Theory of nth Order Linear Differential Equations
4.2 Homogeneous Differential Equations with Constant Coefficients
3.8, 4.1, 4.2
    HW#09:
  • HW#09 in WileyPlus through your Canvas account.
  • Note: HW#09 is LONG and its is due one day before MT#2 !
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
  • STUDY FOR MT#2
We 30 Oct
10
 29-31/10
4.3 The Method of Undetermined Coefficients
MT#2 review
MT#2
4.3
    HW#10:
  • HW#10 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Th 07 Nov
MT#2
 31/10
MIDTERM#2, Thursday October 31st
Chaps 1+2+3
    MT#2:
  • Chap 1 (all)
  • Chap 2 (all, except Secs. 2.7,2.8,2.9)
  • Chap 3 (all)
 
11
 05-07/11
4.4 The Method of Variation of Parameters

Chapter 5: Series Solutions of 2nd Order Linear Eqs
5.1 Review of Power Series
5.2 Series Solutions Near an Ordinary Point, Part I
5.3 Series Solutions Near an Ordinary Point, Part II
4.4, 5.1-5.3
    HW#11:
  • Write a DETAILED summary of Sec. 5.1
  • HW#11 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Tu 19 Nov
12
 12-14/11
5.4 Euler Equations; Regular Singular Points
5.5 Series Solutions Near a Regular Singular Point, Part I
5.6 Series Solutions Near a Regular Singular Point, Part II
5.4-5.6
    HW#12:
  • HW#12 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Tu 26 Nov
13
 19-21/11
5.6 Series Solutions Near a Regular Singular Point, Part II
5.7 Bessel's Equation

Chapter 6: The Laplace Transform
6.1 Definition of the Laplace Transform
6.2 Solution of Initial Value Problems
5.6, 5.7, 6.1, 6.2
    
14
 26/11
6.3 Step Functions
6.4 Differential Equations with Discontinuous Forcing Functions
Thanksgiving
6.3, 6.4
    HW#13:
  • HW#13 in WileyPlus through your Canvas account.
  • Remember to turn in the HANDWRITTEN portion of the HW via GS.
Tu 10 Dec
15
 03-05/12
Chapter 7 Systems of First-Order Linear Equations
7.1 Introduction
7.2 Matrices
7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors
7.4 Basic Theory of Systems of First-Order Linear Equations
MT#3
7.1-7.4
     
 
MT#3
 05/12
MIDTERM#3, Thursday December 5rd
Chaps 1+2+3+4+5
  • Chap 1 (all)
  • Chap 2 (all, except Secs. 2.7,2.8,2.9)
  • Chap 3 (all)
  • Chap 4 (all)
  • Chap 5 (all)
 
16
 10/12
7.5 Homogeneous Linear Systems with Constant Coefficients
7.6 Complex-Valued Eigenvalues
7.5, 7.6
    
FINAL
 12/12

FINAL EXAM, Thursday December 12th at 10:30-12:30pm
(note time is NOT the same as lecture)
Chaps 1+2+3+4+5+6+7
  • ALL material covered in class