Differential equations model many natural phenomena as well as applications in engineering and physical sciences. Mon May 8, 10:00am-12:00 pm: Cumulative Final ExamĬourse goals: Math 316 is an introductory course on ordinary differential equations. Repeated eigenvalues - star nodes, degenerate nodes (7.8)ģ7. Complex eigenvalues - centers, stable and unstable spirals (7.6)ģ6. Real distinct eigenvalues - Saddles, nodes, line of equilibria (7.5)ģ5. Real distinct eigenvalues - Simple examples.ģ4. Vector valued functions and its derivatives.ģ2. Matrices, determinants, inverses, solving Ax=b. Convolutions (6.6) Proof of Convolution ThmĢ8. Definition, linearity, find transforms (6.1)Ģ2. Method of variation of parameters (3.6)Ģ1. Mechanical and electrical vibrations III - forced, damped (3.8)ġ9. Mechanical and electrical vibrations II - forced, undamped. Method of undetermined coefficients (ctd)ġ7. Method of undetermined coefficients (3.5)ġ6. Second order linear ODEs, nonhomogeneousġ5. Mechanical and electrical vibrations I - unforced (3.7)Ĥ. Characteristic equation: repeated roots (3.4)ġ4. Characteristic equation: complex roots (3.3)ġ3. Superposition principle for linear, homogeneous DEs.Ĭharacteristic equation: Real distinct roots. Mathematical models II: Population models (2.5)ġ0. Autonomous eqns: phase line, equilibria, stability (2.5)Ĩ. Existence and uniqueness of solutions: theory and examples (2.4)ħ. Integrating Factors (2.1) Worked out exampleģ. (by Michael Tanguay): Fundamentals of Matlabġ. It is also on the computers in the computer pods. See below for Grade Mode Change and Academic Dishonesty. We want to hear from you and we want to help you succeed. Ask questions inside and outside of class, let us know what difficulties you are having. Visit them during drop-in hours and at the Tutoring Center. Please consider your instructor and your TA your primary resource. Resources: There are several resources to help you succeed in this class. The homework is set up to make it clear which problems to work on after each lecture.Įvery student has two life happens opportunities to turn the homework in one day late, if needed, for most (not all!) homeworks. Please note that UNM requires a minimum of two hours work outside of class for each credit hour, and this is a 3-credit course. You need to work on these problems on a daily basis. Homework: Weekly homework sets, posted on this website, are due on the given due date by 11:59pm, to be submitted through Canvas (pdf files only please, no jpg or png images). Note that inconsistent attendance and homework can lead to instructor-drop (see Attendance). Therefore, you need at least 50% in your total Homework score to pass the class. Attendance and participation in all aspects of the course is required. Grading: The course grade will be determined from weekly homework, 4 mid-semester exams, and a final exam. UNM Canvas: All course materials, communication, and grades will be posted on our Canvas coursesite. Textbook: Boyce and DiPrima, Elementary Differential Equations, edition 10 or 11 See here for review problems and more.Ĭorequisite: Calculus III: Math 2351 or 2350 (previously numbered Math 264) Teaching Assistants: A Graduate Student Teaching Assistants will be available for tutoring and support at the Math Tutoring Center, at times TBD Follow UNMs guidelines regarding COVID-19. Instruction is fully or mostly in person. Math 316 Spring 2023 - Applied Ordinary Differential Equations - All sections Instructors: Derek Martinez, Monika Nitsche.
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