Podcast Collection

Papers & Presentations

• Podcast: https://bit.ly/3L8GuCf (P) https://bit.ly/3L9sY1f (R)
  Shen, B.-W.* and R. Pielke Sr., 2026:  Tipping Points and Regime Shifts: A Dynamical Systems View. http://doi.org/10.13140/RG.2.2.32488.12800

• Podcast: https://bit.ly/3Wc2M80 (English) https://bit.ly/4hgRxoc (Chinese)

  Shen, B.-W.*, 2025:  From Airy’s Equation to the Non-dissipative Lorenz Model: Quantum Tunneling and Solitary Waves. http://doi.org/10.13140/RG.2.2.25876.56962

• Podcast: https://bit.ly/4o0AFDX (English)https://bit.ly/3XwoILw (Chinese)
  Shen, B.-W.*, 2025: Bifurcation, Tipping, and Regime Shifts in Nonlinear Energy-Balance Models. http://doi.org/10.13140/RG.2.2.20957.27365
• Podcast: https://bit.ly/3WFD5Nq

  Shen, B.-W.*, 2025: Reflections on AI, Education, and Predictability: A Faculty Interview. http://doi.org/10.13140/RG.2.2.16825.22884

• Podcast: https://bit.ly/3VuHS3p (English) https://bit.ly/3VvmE5p (Chinese)
  Shen, B.-W., 2025: Clarifying Nonlinearity, Curve Shapes, and Temperature-Anomaly Trends in Tipping-Point Discussions. http://doi.org/10.13140/RG.2.2.16301.35043


• Podcast: https://bit.ly/3JlUlDJ (Concise)  https://bit.ly/3VeXQOV (Full)  https://bit.ly/475gQXE (Chinese) 
  Shen, B.-W. and R. Pielke, Sr. 2025: Tipping, Bifurcation, and Multistability: Insights from the Generalized Lorenz Model. http://doi.org/10.13140/RG.2.2.30493.01763 
   
• Podcast: https://bit.ly/43bwU7J (V2)  https://bit.ly/4j0asmy (V1, English) https://bit.ly/4mx3VCV (V2, Chinese)  https://bit.ly/3Sw4uPz (V1, Chinese)
  Shen, B.-W. 2025: Lorenz’s Models (1960–2008): Insights into Predictability Science. https://doi.org/10.13140/RG.2.2.17125.72164 
   
• Podcast: https://bit.ly/3DYQavh (updated 2025/03/28)
  Shen, Pielke Sr., Zeng, Baik, Faghih-Naini, Cui, and Atlas, 2021: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. Bulletin of the American Meteorological Society, 102(1), E148-E158. https://doi.org/10.1175/BAMS-D-19-0165.1
  Shen, Pielke Sr., Zeng, Cui, Faghih-Naini, Paxson, Kesarkar, Zeng, and Atlas, 2022c: The Dual Nature of Chaos and Order in the Atmosphere. Atmosphere 13, no. 11: 1892. https://doi.org/10.3390/atmos13111892.
   
• Podcast: https://bit.ly/429xPDJ (posted 2025/03/30)
  Pielke Sr., R.A., B.-W. Shen, X. Zeng, 2024: Butterfly Effects. Physics Today 77 (9), 10. https://doi.org/10.1063/pt.ifge.djjy
  Palmer, T.; The real butterfly effect and maggoty apples. Physics Today 1 May 2024; 77 (5): 30–35. https://doi.org/10.1063/pt.eike.hsbz
   
• Podcast: https://bit.ly/4iNzHtf (updated 2025/03/28) https://bit.ly/4aPZWfv
  Shen, B.-W., 2023: A Review of Lorenz's Models from 1960 to 2008. International Journal of Bifurcation and Chaos. Vol. 33, No. 10, 2330024 (2023).  https://doi.org/10.1142/S0218127423300240. (Feature Article) 
   
• Podcast: https://bit.ly/41Pbr3J (updated 2025/03/27) https://bit.ly/3Uuuj3N (V1) https://bit.ly/3Wvtbhu (V2)
  Shen, B.-W., 2025: Attractor Coexistence, Butterfly Effects, and Chaos (ABC): A Review of Lorenz Models and a Generalized Lorenz Model. In: Skiadas, C.H., Dimotikalis, Y. (eds) 16th Chaotic Modeling and Simulation International Conference. CHAOS 2023. Springer Proceedings in Complexity. Springer, Cham.  https://doi.org/10.1007/978-3-031-60907-7_42 
   
• Podcast: https://bit.ly/3Y4HmLe (updated 2025/03/28) https://bit.ly/47rFrnD
  Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X. Zeng, 2024: Exploring the Origin of the Two-Week Predictability Limit: A Revisit of Lorenz’s Predictability Studies in the 1960s. Atmosphere 2024, 15(7), 837; https://doi.org/10.3390/atmos15070837
   
• Podcast: https://bit.ly/4l8QVD0 (updated 2025/03/26)
  Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X. Zeng, 2023: Lorenz’s View on the Predictability Limit. Encyclopedia 2023, 3(3), 887-899; https://doi.org/10.3390/encyclopedia3030063
  Video: https://encyclopedia.pub/video/video_detail/916 
   
• Podcast: https://bit.ly/4c9WBs5 (updated 2025/03/28) https://bit.ly/4daksqk
  Shen, B.-W., R. A. Pielke Sr., Xubin Zeng, 2024: A Summary of Two Kinds of Butterfly Effects. Available from ResearchGate: https://doi.org/10.13140/RG.2.2.32401.24163
   
• Podcast: https://bit.ly/423kFbC (V1, updated 03/25/2025) https://bit.ly/4iHyJhC (V2)
  Shen, B.-W., R. A. Pielke Sr., Xubin Zeng, 2024: Revisiting Lorenz’s and Lilly’s Empirical Formulas for Predictability Estimates. https://egusphere.copernicus.org/preprints/2024/egusphere-2024-2228/ (for open review and discussion on EGUsphere)
   
• Podcast: https://bit.ly/3RCdthT
  Shen, B.-W.*, 2020: On the Dual Nature of Chaos and Order in Weather and Climate: New Insights and Opportunities Within a Generalized Lorenz Model.  Computational Science Research Center. 6 November 2020. https://doi.org/10.13140/RG.2.2.12468.19843. (podcast created on 04/29/2025)
   
• Podcast: https://bit.ly/42nZyRw (updated 2025/04/08) https://bit.ly/3ZP8OOK (V1, old)
  Shen, B.-W., 2025: Introduction to Transformers. San Diego State University. https://doi.org/10.13140/RG.2.2.11127.84642
   
• Podcasts: https://bit.ly/42E6eMo (updated 2025/04/08, NWP) https://bit.ly/4dh5XD3 (Chinese) 
  Shen, B.-W., 2024: Using Transformers to Investigate Downscaling in the Generalized Lorenz Model. Course Materials. San Diego State University. 
  https://doi.org/10.13140/RG.2.2.11127.84642
  https://bit.ly/4e2dMeF (V5, old)
   
• Podcasts: https://bit.ly/43aFN1n (English) https://bit.ly/43eJuDn (Chinese)
  Shen, B.-W., 2025: Butterfly Effect: Responses to Reader’s Questions (II). http://doi.org/10.13140/RG.2.2.21391.29603 

Course Materials

Math340 (Spring 2026)

• Podcast: https://bit.ly/3YMamYi 
  Shen, B.-W., 2026: Lecture #1. Introduction. Math340 Programming in Mathematics. San Diego State University. (Jan. 2026)  
   
• The rest of the podcasts are accessible on Canvas.

Math340 (Fall 2025)

• Podcast: https://bit.ly/45Oo7J5 
  Shen, B.-W., 2025: Lecture #1. Introduction. Math340 Programming in Mathematics. San Diego State University.  
   
• The rest of the podcasts are accessible on Canvas.

Math340 (Spring 2025)

Two lectures have been allocated and distributed throughout the semester to introduce the transformer for Math340. These lectures cover the fundamental concepts of transformer models. Tasks designed to reinforce these concepts are distributed across multiple  homework assignments throughout the semester.

• Podcast: https://bit.ly/4jztgun 
  Shen, B.-W., 2025: Lecture #1. Introduction. Math340 Programming in Mathematics. San Diego State University.  
   
• Podcast: https://bit.ly/4ieswcq (V2, updated 2025/04/09) https://bit.ly/437kUnT (V2, Chinese) https://bit.ly/4gpsVYn (V2, old)
  Shen, B.-W., 2025: Lecture #3b: Introduction to Foundation Models for Mathematical Programming. Course Materials for Math340. San Diego State University. http://doi.org/10.13140/RG.2.2.24063.32169  
  https://bit.ly/3EkLb81 (V1, re-reviewed, 04/08/2025)
   
• Podcast: https://bit.ly/4i1SNLd
  Shen, B.-W., 2025: Lecture #4x: Word Embedding and Cosine Similarity in HW4. Math340 Programming in Mathematics. San Diego State University. http://doi.org/10.13140/RG.2.2.14525.78563 (The specific slide file contains tasks  related to the concepts of word embedding and cosine similarity.) 
   
• Podcast: https://bit.ly/3XjQVFA 
  Shen, B.-W., 2025: Lecture #7a: Introduction to Parallel Computing. Math340 Programming in Mathematics. http://doi.org/10.13140/RG.2.2.26392.71682
   
• Podcast: https://bit.ly/4iOQcES (old) https://bit.ly/4jl2Fk2 (Updated: 04/05/2025)
  Shen, B.-W., 2025: Lecture: #9b Backpropagation. Math340 Programming in Mathematics. http://doi.org/10.13140/RG.2.2.22620.30083  
   
• Podcast: https://bit.ly/3GoLv6L
  Shen, B.-W., 2025: Lecture #12a: SymPy for Computational Algebra: Ill-conditioning Systems. Math340 Programming in Mathematics.(Lecture notes)
   
• Podcast: https://bit.ly/44BZMaa
  Shen, B.-W., 2025: Lecture #12c: Understanding Query, Key, and Value Matrices in Transformers. Math340 Programming in Mathematics. http://doi.org/10.13140/RG.2.2.25666.70086 
   
• Podcast: https://bit.ly/3RBrQmv
  Shen, B.-W., 2025: Lecture #12d: K-V Caching in Transformers. Math340 Programming in Mathematics. (Lecture notes)

Math340 (Fall 2024)

• Podcast: https://bit.ly/3OZUBrx 
  Shen, B.-W., 2024: Exam Questions for Math340. 

Math252: (Spring 2026)

• Podcast: https://bit.ly/4jN5OKR
  Shen, B.-W., 2026: An Introduction to Calculus 3. San Diego State University. (Jan. 2026)  
   
• The rest of the podcasts are accessible on Canvas.

Math252: (Fall 2025)

• Podcast: http://bit.ly/4m1yWxz (V1); http://bit.ly/3JsgIaR (V2)
  Shen, B.-W., 2025: An Introduction to Calculus 3. San Diego State University. 
   
• The rest of the podcasts are accessible on Canvas.

Math252: (Spring 2025)

• Podcast: https://bit.ly/41vaqxs
  Shen, B.-W., 2025: Review of Chapters 12 and 13 for Calculus 3. San Diego State University. (Updated March 2025)
   
• Podcast: https://bit.ly/4hQQ0nN
  Shen, B.-W., 2025: Introduction to Tangent Planes for Calculus 3. San Diego State University. (Updated: 03/25/2025)
   
• Podcast: https://bit.ly/4lqPpvS (updated 04/10/2025) https://bit.ly/4hMk2Jo (old)
  Shen, B.-W., 2025: Review of Chapter 14 for Calculus 3. San Diego State University. (Updated: 03/25/2025)

• Podcast: https://bit.ly/4jKfgNK
  Shen, B.-W., 2025: Math252: Calculus 3: 2D Divergence and Curl. (Lecture notes) 
   
• Podcast: https://bit.ly/4cUCiPT (v1) https://bit.ly/3GNZLq4 (updated with a typo fixed, 05/08/25)
  Shen, B.-W., 2025: Math252: Calculus 3: Section 16.3 The Fundamental Theorem for Line Integrals. (Lecture notes)
   
• Podcast: https://bit.ly/3EJxL6e
  Shen, B.-W., 2025: Math252: Calculus 3: Section 16.4 Green's Theorem. (Lecture notes)
   
• Podcast: https://bit.ly/42OhOUh
  Shen, B.-W., 2025: Math252: Calculus 3: Supplementary Materials for Chapter 16. (Lecture notes)

Math252: (Fall 2024)

• Podcast: https://bit.ly/47xq90C
  Shen, B.-W., 2024: An Introduction to Calculus 3. San Diego State University. 
  
   
• Podcast: https://bit.ly/3MMXriN
  Shen, B.-W., 2024: A Review of Chapters 12 and 13 for Calculus 3. San Diego State University. 
  
   
• Podcast: Refer to the version in Spring, 2025. 
  Shen, B.-W., 2024: A Review of Chapter 14 for Calculus 3. San Diego State University.
   
• Podcast: https://bit.ly/4fVXYLE (Short) https://bit.ly/49mIcrd (Full, old version) https://bit.ly/3FVHmHq (Updated 04/03/2025)
  Shen, B.-W., 2024:Supplementary Materials for Math 252 Calculus III Students: Explaining Backpropagation in Neural Networks. San Diego State University. 
   https://doi.org/10.13140/RG.2.2.36499.28960
   

Math151: (Fall 2025)

• Podcast: https://bit.ly/4lIIFZs;
  Shen, B.-W., 2025: Summary Slides for Calculus II Math151. San Diego State University. http://doi.org/10.13140/RG.2.2.22478.11849