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Schedule
Notes
The schedule is tentative and may change as the course progresses.
Section numbers are as in Differential Equations and Linear Algebra (4th Edition) by Stephen W Goode and Scott A Annin. You may use a previous edition of the book if that is easier to obtain.
There will usually be two webwork assignments every week.
Suggested problems are not for credit.
Week of June 27th (Week 1)
Classes begin on Monday, June 27th.
Webwork 00 (Not for Credit) is due Tuesday, June 28th at 11:00 PM.
Webwork 01 is due Saturday, July 2nd at 11:00 PM.
Suggested Problems: §1.1: 1, 3, 5, 11, 15, 17, 19, 21; §1.2: 1, 2, 4, 5, 8, 12, 14, 16, 18, 19, 22, 23, 27, 37, 41; §1.3: 2, 3, 6, 11, 17, 19, 22, 24; §1.4: 4, 7, 9, 12, 14, 20; §1.6: 3, 6, 7, 11, 13, 16, 19; §1.7: 1, 3, 5, 6, 7, 8; §2.1: 4, 7, 11, 14, 20, 24, 25, 28, 30.
Monday, June 27th
Tuesday, June 28th
Topics: §1.2 Basic Ideas and Terminology (contd); §1.3 The Geometry of First-Order Differential Equations.
Notes: (Lecture 2)
Video: (Panopto, Blackboard)
Wednesday, June 29th
Topics: §1.3 The Geometry of First-Order Differential Equations (contd); §1.4 Separable Differential Equations; §1.6 First-Order Linear Differential Equations.
Notes: (Lecture 3)
Video: (Panopto, Blackboard)
Thursday, June 30th
Topics: §1.6 First-Order Linear Differential Equations (contd); §1.7 Modeling Problems Using First-Order Linear Differential Equations; §2.1 Matrices: Definitions and Notation.
Notes: (Lecture 4)
Video: (Panopto, Blackboard)
Week of July 4th (Week 2)
Webwork 02 is due Wednesday, July 6th at 11:00 PM.
Webwork 03 is due Saturday, July 9th at 11:00 PM.
Suggested Problems: §2.1: 4, 7, 11, 14, 20, 24, 25, 28, 30; §2.2: 1, 3, 8, 9, 11, 13, 16, 42, 44, 46; §2.3: 3, 6, 9, 11, 12, 18, 21; §2.4: 1, 2, 4, 7, 10, 12, 18, 21, 26; §2.5: 4, 8, 12, 14, 17, 20, 23, 26, 36, 38, 46, 48, 52, 56.
Monday, July 4th
Tuesday, July 5th
Wednesday, July 6th
Topics: §2.3 Terminology for Systems of Linear Equations; §2.4 Row-Echelon Matrices and Elementary Row Operations; §2.5 Gaussian Elimination.
Notes: (Lecture 6)
Video: (Panopto, Blackboard)
Thursday, July 7th
Week of July 11th (Week 3)
Webwork 04 is due Wednesday, July 13th at 11:00 PM.
Webwork 05 is due Saturday, July 16th at 11:00 PM.
Suggested Problems: §2.6: 5, 9, 10, 16, 23, 25, 29; §3.1: 9, 11, 13, 15, 17, 21; §3.2: 5, 7, 9, 13, 15, 21, 23, 37, 39; §3.3: 5–19 odd; §4.1: 1, 3, 4; §4.2: 1, 3, 5, 7, 11, 13.
Monday, July 11th
Tuesday, July 12th
Topics: §2.6 The Inverse of a Square Matrix (contd), §3.1 The Definition of the Determinant; §3.2 Properties of Determinants; §3.3 Cofactor Expansions.
Notes: (Lecture 9)
Video: (Panopto, Blackboard)
Wednesday, July 13th
Thursday, July 14th
Topics: §3.3 Cofactor Expansions (contd); §4.1 Vectors in \(\mathbb{R}^n\); §4.2 Definition of a Vector Space.
Notes: (Lecture 11)
Video: (Panopto, Blackboard)
Week of July 18th (Week 4)
Webwork 06 is due Wednesday, July 20th at 11:00 PM.
Webwork 07 is due Sunday, July 24th at 11:00 PM.
Suggested Problems: §4.3: 3, 5, 7, 9, 15, 19, 21; §4.4: 1, 3, 5, 9, 13, 15, 17, 23, 27; §4.5: 1, 3, 7, 9, 13, 15, 21, 23, 27, 31, 33, 35, 39; §4.6: 3, 5, 11, 13, 15, 21, 23, 27, 33; §4.8: 1, 3, 5, 7, 9; §4.9: 1, 3, 7, 9, 11, 13, 17.
Monday, July 18th
Tuesday, July 19th
Wednesday, July 20th
Topics: §4.6 Bases and Dimension (contd); §4.8 Row Space and Column Space; §4.9 The Rank-Nullity Theorem.
Notes: (Lecture 14)
Video: (Panopto, Blackboard)
Thursday, July 21st
Week of July 25th (Week 5)
Webwork 08 is due Wednesday, July 27th at 11:00 PM.
Webwork 09 is due Wednesday, July 27th at 11:00 PM.
Suggested Problems: §6.1: 1, 6, 7, 9, 13, 15, 17, 19, 23, 25, 27, 30; §6.3: 1, 3, 5, 12, 14, 15; §7.1: 9-25 odd; §7.2: 1-15 odd; §8.1: 9-12, 21-27 odd, 31, 33; §8.2: 5-35 odd; §8.3: 1-11 odd, 17, 19, 21, 25, 27.
Monday, July 25th
Tuesday, July 26th
Topics: §6.1 Definition of a Linear Transformation (contd); §6.3 The Kernel and Range of a Linear Transformation; §7.1 The Eigenvalue/Eigenvector Problem.
Notes: (Lecture 17)
Video: (Panopto, Blackboard)
Wednesday, July 27th
Topics: §7.2 General Results for Eigenvalues and Eigenvectors; §4.5 Linear Dependence and Linear Independence (contd, Wronskians); §8.1 General Theory for Linear Differential Equations.
Notes: (Lecture 18)
Video: (Panopto, Blackboard)
Thursday, July 28th
Topics: §8.1 General Theory for Linear Differential Equations (contd); §8.2 Constant-Coefficient Homogeneous Differential Equations.
Notes: (Lecture 19)
Video: (Panopto, Blackboard)
Week of August 1st (Week 6)
Webwork 10 is due Wednesday, August 3rd at 11:00 PM.
Webwork 11 (Extra Credit) is due Friday, August 5th at 11:00 PM.
Suggested Problems: §9.1: 2, 5, 8, 10, 13, 14, 18; §9.2: 1, 4, 5, 7, 8, 12; §9.3: 1, 3, 5; §9.4: 1-15 odd.
Monday, August 1st
Topics: §8.2 Constant-Coefficient Homogeneous Differential Equations; §9.1 First-Order Linear Systems; §9.2 Vector Formulation; §9.3 General Results for First-Order Linear Systems.
Notes: (Lecture 20)
Video: (Panopto, Blackboard)
Tuesday, August 2nd
Topics: §9.4 Vector Differential Equations: Nondefective Coefficient Matrix; 8.3 The Method of Undetermined Coefficients.
Notes: (Lecture 21)
Video: (Panopto, Blackboard)
Wednesday, August 3rd
Thursday, August 4th
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