MTH 425 Lecture Notes - Lecture 5: Zill, Vector Calculus, Ryerson University

• School: Ryerson University
• Department: Mathematics
• Course: MTH 425
• Professor: Silvana Ilie

Document Summary

Mth425 differential equations and vector calculus -- fall 2015. Course website: the mth425 webpage from the my. ryerson portal. Students are responsible for checking the webpage regularly for posted course material and announcements. Labs: labs start in the second week of classes, i. e. the week of sept. 14. Information regarding the format of the labs is posted on the webpage. Course content: (the section numbers refer to the relevant sections in the textbook: 1st order differential equations: separable equations, 1st order linear equations, exact equations, solutions by substitutions, (sec. 2. 2 2. 5: linear higher order differential equations: homogeneous linear equations with constant coefficients, non-homogeneous linear equations: undetermined coefficients and variation of parameters, cauchy-euler equation, (sec. 3. 1 3. 6: laplace transforms: definitions, inverse transforms, transform theorems, transforms of derivatives, solutions of initial value problems. (sec. 4. 1 4. 4, 4. 6: vector calculus: vector functions, directional derivatives, line integrals, surface integrals, surface integrals, multiple integrals, integral theorems of vector calculus, (9. 1, 9. 5 9. 15)