STANDARD HOMEWORK FORMAT( .pdf )
CEE-305 "New/Generic" Course syllabus.( .pdf )
1. Fourier Series, Discrete Fourier Transform and Fast Fourier Transform( .pdf / .doc )
2. Fast Fourier Transform - Civil Engineering Application.(.doc )
3. Fourier Series - Presentation.(.ppt )
4. Chapter 11: Fourier Series.(.doc )
5. Numerical Methods Preview.(.pdf )
6. Basic Probability.(.pdf )
7. Numerical Methods - Website.(Click here )
8. False Position Method.(.pdf )
9. Cholesky LDL Transpose Game.(.pdf )
10. Simpsons 3/8th Rule.(.pdf )
YouTube Video Lectures.01: Introduction to Fourier Series.(Click here to watch )
02: Continuous Fourier Series. (Click here to watch )
03: Continuous Fourier Series: Example 1. (Click here to watch )
04: Complex Form of Fourier Series.(Click here to watch )
05: Fourier Transform Pair, Frequency and Time Domain.(Click here to watch )
06: Fourier Transform Pair: Complex Numbers.(Click here to watch )
07: Fourier Transform Pair: Non-periodic Function.(Click here to watch )
08: Discrete Fourier Transform.(Click here to watch )
09: Discrete Fourier Transform contd.(Click here to watch )
10: DFT: Aliasing Phenomenon, Nyquist Sample/Rate.(Click here to watch )
11: FFT: Informal Development of FFT.(Click here to watch )
12: FFT: Factorized Matrix & Operation Count.(Click here to watch )
13: FFT: Companion Node Observation.(Click here to watch )
14: FFT: Determination of W^P Example 1.(Click here to watch )
15: FFT: Unscrambling the FFT.(Click here to watch )
16: FFT: Theoretical Development of FFT; N=2^2=4.(Click here to watch )
17: Theoretical Development of FFT: N=2^3=8.(Click here to watch )
18: Theoretical Development of FFT: N=2^r.(Click here to watch )
19: Theoretical Development of FFT: N=r1*r2=4x4.(Click here to watch )
20: Theoretical Development of FFT: N=r1*r2=4x2.(Click here to watch )
21: Theoretical Development of FFT: N=r1*r2*r3 .....(Click here to watch )
22: Theoretical Development of FFT: Twiddle Factor.(Click here to watch )
23: Simultaneous Linear Equations: Cholesky Method.(Click here to watch )
24: Simultaneous Linear Equations: L D L transpose method.(Click here to watch )
25: Simultaneous Linear Equations: Cholesky Game.(Click here to watch )
26: False-Position Method for Solving a Non-Linear Equation.(Click here to watch )
27: Simpsons 3/8 Rule for Integration.(Click here to watch )