MATH 226 | George Ballinger | Camosun College Department of Mathematics and Statistics

MATH 226 - Elementary Differential Equations

None at this time.

Current, 12th edition of A First Course in Differential Equations with Modeling Applications by Zill.

Assignments are due by the end of class on the due dates.

Assignment		Sections of Textbook	Due Date
Assignment 1	Solutions	1.1, 1.2, 2.2, 2.3	TBA
Assignment 2	Solutions	2.4, 2.5	TBA
Assignment 3	Solutions	3.1, 3.2	TBA
Assignment 4	Solutions	4.1, 4.2, 4.3	TBA
Assignment 5	Solutions	4.4, 4.5, 4.6, 4.7	TBA
Assignment 6	Solutions	4.9, 4.10, 5.1	TBA
Assignment 7	Solutions	6.1, 6.2, 6.3	TBA
Assignment 8	Solutions	7.1, 7.2, 7.3, 7.4, 7.5	TBA
Assignment 9	Solutions	8.1, 8.2, 8.3	TBA
Assignment 10	Solutions	Fourier Series and Plane Systems	TBA

Test	Sections of Textbook	Test Date	Sample Tests
Test 1 Solutions	1.1 Definitions and Terminology 1.2 Initial-Value Problems 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations 2.5 Solutions by Substitutions 3.1 Linear Models 3.2 Nonlinear Models 4.1 Theory of Linear Equations 4.2 Reduction of Order 4.3 Homogeneous Linear Equations with Constant Coefficients	TBA	Sample Test 1Z Solutions
Test 2 Solutions	4.4 Undetermined Coefficients - Superposition Approach 4.5 Undetermined Coefficients - Annihilator Approach 4.6 Variation of Parameters 4.7 Cauchy-Euler Equations 4.9 Solving Systems of Linear DEs by Elimination 4.10 Nonlinear Differential Equations 5.1 Linear Models: Initial-Value Problems 6.1 Review of Power Series 6.2 Solutions about Ordinary Points 6.3 Solutions about Singular Points 7.1 Definition of the Laplace Transform 7.2 Inverse Transforms and Transforms of Derivatives 7.3 Operational Properties I 7.4 Operational Properties II 7.5 The Dirac Delta Function	TBA	Sample Test 2Z Solutions
Remaining Sections: 8.1 Theory of Linear Systems 8.2 Homogeneous Linear Systems 8.3 Nonhomogeneous Linear Systems Introduction to Fourier Series (notes) Plane Autonomous Systems (notes)

The MATH 226 final exam will be a comprehensive, three-hour exam and it will take place sometime during the final exam period.

You must write the final exam at the scheduled time as per Camosun College's policy on final examinations.

MATH 226 Course Outline for 2025W (Also available is the official syllabus for sec 001.)
Partial Derivatives (sec 1.1)
Total Differentials (sec 2.4)
Flow Chart for Solving a First-Order Differential Equation (sec 2.5)
Differential Equation Classification Exercises (sec 2.5)
Applications of First-Order Differential Equations (sec 3.1-3.2)
Linear Differential Equations (sec 4.1)
Method of Undetermined Coefficients (by Gilles Cazelais) (sec 4.4)
Annihilator Operators (sec 4.5)
Cauchy-Euler Equations (by Gilles Cazelais) (sec 4.7)
Mass-Spring Exercises (sec 5.1)
Power Series (sec 6.1)
Ordinary and Singular Points (sec 6.2-6.3)
Graphs of Solutions of Airy's Equation (sec 6.2)
Graphs of Solutions of Bessel's Equation (sec 6.3)
Laplace Transforms (sec 7.1-7.5)
Convolution (sec 7.4)
Laplace Transform of a Square Wave (sec 7.4)
An Overview of Matrices (sec 8.1-8.3)
Appendix B (Matrices) (sec 8.1-8.3) [PDF file is password-protected. The password will be provided in class.]
Linear Systems (sec 8.1-8.3)
Introduction to Fourier Series (notes) and Exercise Solutions
Plane Autonomous Systems (notes)