Schedule

All readings are from Goode-Annin, 4th edition. Suggested supplemental problems from the book are listed for each reading section below to help test your understanding but these are not to be turned in and are separate from webwork or the written work on Gradescope. The answers to most of these questions are at the back of the book. ## Week of January 17

Topics: It is helpful to read the chapters before class.
- 1.1: How Differential Equations Arise.
  Supplemental problems for section 1.1: 1,3,5,9,11,15,17,19,21,23.
- 1.2: Basic Ideas and Terminology.
  Supplemental problems for section 1.2: 2,4,5,8,13,14,16,18,19,22,23,27,32,37,41.

Week of January 22

Topics:
- 1.3: The Geometry of First order Differential Equations.
  Supplemental problems for section 1.3: 2,3,6,11,17,19,22,24.
- 1.4: Separable Differential Equations.
  Supplemental problems for section 1.4: 3E 3,6,7,11,13,16,19,22,28,29,4E 4,7,9,12,14,20,23,29,30.
- 1.6: First-Order Linear Differential Equations.
  Supplemental problems for section 1.6: 3,6,7,11,13,16,19,22,28,29.
- 1.7: Modeling.
  Supplemental problems for section 1.7: 1,3,5,6,7,8.

Webwork 1 due Friday the 26th at 11:59pm

Homework and WeBWorK will be due each Friday unless otherwise noted. Homework assignments (and due dates) can be found under the homework tab on this web site. WeBWork due dates appear on your WeBWork. You must use the link on blackboard to access both gradescope (for homework submission) and WeBWorK.

Week of January 29

Topics:
- 2.1: Matrices: Definition and Notation.
  Supplemental problems for section 2.1: 3E 3,6,8,11,15,19,20,21,23,4E 4,7,11,14,20,24,25,28,30.
- 2.2: Matrix Algebra.
  Supplemental problems for section 2.2: 3E 2,3,5,11,13,15,17,27,37,39,43,4E 1,3,8,9,11,13,16,42,44,46.
- 2.3: Terminology for Systems of Linear Equations.
  Supplemental problems for section 2.3: 3E 3,5,6,8,9,13,15,16, 4E 3,6,9,11,12,18,21.

HW 1 and WeBWorK 2 due Friday night.

Week of February 5

Topics:
- 2.4: Elementary Row Operations and Row-Echelon Matrices.
  Supplemental problems for section 2.4: 3E 1,4,5,8,9,11,13,17,21,25,4E 1,2,4,7,10,12,18,21,26.
- 2.5: Gaussian Elimination.
  Supplemental problems for section 2.5: 3E 1,5,9,11,14,17,20,23,33,35,43,45,49,53 4E 4,8,12,14,17,20,23,26,36,38,46,48,52,56.

HW 2 and WeBWorK 3 due Friday night.

Week of February 12

Topics:
- 2.6: The Inverse of a Square Matrix.
  Supplemental problems for section 2.6: 3E 4,8,9,15,16,19,21,25 4E 5,9,10,16,23,25,29
- 3.1: The Definition of the Determinant.
  Supplemental problems for section 3.1: 9,11,13,15,17,21
- 3.3: Cofactor Expansions.
  Supplemental problems for section 3.3: 5-19 odd.

Week of February 19

Topics:
- 3.2: Properties of Determinants.
  Supplemental problems for section 3.2: 5,7,9,13,15,21,23,37,39.
- 4.1: Vectors in Euclidean Space.
  Supplemental problems for section 4.1: 1,3,4.
- 4.2: Definition of a Vector Space.
  Supplemental problems for section 4.2: 1,3,5,7,11,13.

Week of February 26

Note: Midterm 1 is February 27th
Topics:
- 4.3: Subspaces.
  Supplemental problems for section 4.3: 3,5,7,9,15,19,21.
- 4.4: Spanning Sets.
  Supplemental problems for section 4.4: 1,3,5,9,13,15,17,23,27.

Week of March 4

Topics:
- 4.5: Linear Dependence and Linear Independence.
  Supplemental problems for section 4.5: 1,3,7,9,13,15,21,23,27,31,33,35,39.
- 4.6: Bases and Dimension.
  Supplemental problems for section 4.6: 3,5,11,13,15,21,23,27,33.

Spring Break is March 9-17, 2024

Week of March 18

Topics:
- 4.8: Row Space and Column Space.
  Supplemental problems for section 4.8: 1,3,5,7,9.
- 4.9: The Rank-Nullity Theorem.
  Supplemental problems for section 4.9: 1,3,7,9,11,13,17.
- 5.1: Definition of a Linear Transformation.
  Supplemental problems for section 5.1: 1,6,7,9,13,15,17,19,23,27,30.

Week of March 25

Topics:
- 6.3: The Kernel and Range of a Linear Transformation.
  Supplemental problems for section 6.3: 1,3,5,12,14,15.
- 7.1: The Eigenvalue/Eigenvector Problem.
  Supplemental problems for section 7.1: 9-25 odd.
- 7.2: General Results for Eigenvalues and Eigenvectors.
  Supplemental problems for section 7.2: 1-15 odd.

Week of April 1

Note: Midterm 2 is April 2
Topics:
- 7.2: General Results for Eigenvalues and Eigenvectors.
  Supplemental problems for section 7.2: 1-15 odd.
- 8.1: General Theory for Linear Differential Equations.
  Supplemental problems for section 8.1: 9-12, 21-27 odd, 31, 33.

Week of April 8

Note: Total solar eclipse Monday afternoon.
Topics:
- 8.2: Constant-Coefficient Homogeneous Differential Equations.
  Supplemental problems for section 8.2: 5-35 odd.
- 8.3: The Method of Undetermined Coefficients: Annihilators.
  Supplemental problems for section 8.3: 1-11 odd,17,19,21,25,27.

Week of April 15

Topics:
- 8.3: The Method of Undetermined Coefficients: Annihilators.
  Supplemental problems for section 8.3: 1-11 odd,17,19,21,25,27.
- 8.5: Oscillations of a Mechanical System.
  Supplemental problems for section 8.5: 5,7,9,23-25,28,29.

Week of April 22

Homework 11 Due Friday, Dec 8, midnight
Topics:
- 9.1: First-Order Linear Systems.
  Supplemental problems for section 9.1: 2,5,8,10,13,14,18.
- 9.2: Vector Formulation.
  Supplemental problems for section 9.2: 1,4,5,7,8,12.
- 9.3: General Results for First-Order Linear Systems.
  Supplemental problems for section 9.3: 1,3,5.
- 9.4: Vector Differential Equations: Nondefective Matrix.
  Supplemental problems for section 9.4: 1-15 odd.

Week of April 29

Note: Last day of class on Tuesday, April 30.
Topics:
- Catch up and Review

FINAL

The final will be on Sunday, May 5.

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