Lectures: MWF 9:00-9:50 in HUMANTS A51.
Textbook: Differential equations (second edition) by John Polking, Albert Boggess, and David Arnold.
Instructor: Monica Visan, 6167 Math Sciences Building.
Office Hours: Tu 1:30-2:30pm and Fri 1:30-2:30pm in 6167 Math Sciences Building.
Midterm 1: will cover the material presented in the first 9 lectures; see the table below. You can find a practice midterm here.
Midterm 2: will cover all the material presented so far, with emphasis on lectures 10 through 16; see the table below. You can find a practice midterm here.
Final: will cover all the material presented this quarter. You can find a practice final here.
Homework: There will be weekly homework. It is due in class. Further information is given below.
Grading: Homework: 10%; Midterm 1: 20%; Midterm 2: 20%; Final: 50%. No exceptions.
Student Math Center
Syllabus: The following table will be updated as we progress through the course.
|1||2.1||First Order Differential Equations, Solutions, Initial Value Problems, Examples|
|2||2.1||Direction Fields, Euler's Method|
|3||2.2, 2.4||Separable Equations, Linear Homogeneous Equations|
|4||2.4||Linear Inhomogeneous Equations, x'(t) = f(t) x(t) + g(t)|
|6||2.6||Exact Differential Equations|
|7||2.6||Exact Differential Equations and Integrating Factors|
|8||2.7||Existence and Uniqueness|
|9||2.9||Autonomous Equations and Stability|
|10||4.1||Second Order Linear Equations, Existence and Uniqueness, the Wronskian|
|11||4.1||Fundamental Set of Solutions, Linear Independence|
|12||4.3||Second Order Constant Coefficient Equations|
|13||4.3||Higher Order Constant Coefficient Equations|
|14||4.5||The Method of Undetermined Coefficients|
|15||4.5||Undetermined Coefficients and Annihilators|
|16||4.6||Variation of Parameters|
|17||9.1||Linear Systems with Constant Coefficients: Existence and Uniqueness, Structure of the Solution Set|
|18||9.2||Eigenvalues and Eigenvectors, Fundamental Set of Solutions|
|19||9.2||2 x 2 Systems: Distinct Real and Complex Eigenvalues|
|20||9.2||2 x 2 Systems: One Real Eigenvalue of Multiplicity 2|
|21||9.3||Phase Plane Portraits|
|22||9.3||Phase Plane Portraits|
|23||9.4||The Trace-Determinant Plane|
|25||9.6||The Exponential of a Matrix|