Class Notes & Materials, revised Feb. 2020
1. Akin: Finite Element Flow Chart pdf 1/15/15

2. ODE boundary condition types, png 1/8/19

3. Akin: The general Jacobian array, png 1/31/19

4a. Classic global MWR 1950's, pdf 1/23/20

4b. Classic MWR in FEA notations, pdf 1/23/20

4c. graph of Galerkin global MWR, png 1/24/20

4d. Matlab script for symbolic MWR, txt 1/24/20

4e. graph of least square global MWR, png 1/24/20

5. 1D global Galerkin to FEA Galerkin, pdf 2/4/20

6. 1D calculus and element summary, pdf 2/6/20

7 1D numericial integration of polynomials, pdf 2/18/20

8 1D Lagrange interpolations (natural & unit) png 2/18/20

9 1D Hermite interpolations (L2 C1. C2, C3) png 2/18/20

10 ME apps of 2nd order ODEs , pdf 2/20/20

11 Thermal loads for bar elements, pdf 2/20/20

12 Examples of bars with different BCs, pdf 2/20/20

13 Examples of cubic beam matrices, pdf 2/20/20

14 Classic and good beams, with tables, pdf 2/27/20

15 Requested old quiz # 1 (2011), pdf 3/27/20

15a Requested old quiz # 1 solution, pdf 4/08/20