| Date | Lectures | Assignments | Notes | |
| 09/28 | Complex numbers | HW 1 for 461 ; HW 1 for 561 | WS 1 | |
| 09/30 | Hyperbolic functions. | WS 2 | ||
| 10/02 | Series. | HW 2 (for both 461 and 561) | WS 3 | |
| 10/05 | Convergence of infinite series. | HW 3 for 461 ; HW 3 for 561 | WS 4 | |
| 10/07 | Power series. Taylor series. | HW 4 for 461 ; HW 4 for 561 | WS 5 | |
| 10/09 | Fourier series. | HW 5 for 461 ; HW 5 for 561 | WS 6 | |
| 10/12 | Matrices and vector spaces. | Problem #4 of HW#5 is due on Friday | WS 7 | |
| 10/14 | Eigenvalues and eigenvectors. Systems of linear equations. | HW 6 for 461 ; HW 6 for 561 | WS 8 | |
| 10/16 | Vector algebra. | WS 9 | ||
| 10/19 | Vector calculus: Cartesian coordinates. | HW 7 (for both 461 and 561) | WS 10 | |
| 10/21 | Vector calculus: cylindrical and spherical coordinates. | Midterm is set for Wednesday, November 4 (11 AM, Weniger 304). Ch.3,4,7,8,10,11,12. | Midterm is a closed book one: prepare your own formula sheet.No calculators. | |
| 10/23 | Vector calculus: generalized curvilinear coordinates. | HW 8 (for both 461 and 561) | WS 11 | |
| 10/26 | Line integrals.Green's theorem. Conservative fields. | WS 12 | ||
| 10/28 | Surface and volume integrals. | WS 13 | ||
| 10/30 | First-order ordinary differential equations. | WS 14 | ||
| 11/02 | Higher-order ordinary differential equations. | WS 15 | ||
| 11/04 | Midterm (11 am, Weniger 304) | |||
| 11/06 | Linear ODEs with variable coefficients. | HW 9 (for both 461 and 561) | ||