Math 150 Spring 2023
Old webpage: https://web.williams.edu/Mathematics/sjmiller/public_html/150Sp23/
- Slides: https://web.williams.edu/Mathematics/sjmiller/public_html/150Sp23/Math150Sp23LectureNotes.pdf
- Homework Problems: HWSolns_Math150_Sp2023 (all HW due at the start of class; late, messy or unstapled HW not accepted)
- Homework Solutions: https://web.williams.edu/Mathematics/sjmiller/public_html/150Sp23/hwsolns/HWSolns_Math150_Sp2023.pdf
Videos and HW Assignments:
- Class 35: 5/10: HW from Section 15.6. Watch Green’s Theorem in a Day: https://www.youtube.com/watch?v=aQbPrQ82K-Y Review Class: https://youtu.be/TL1xHE819-I
- Class 34: 5/8: Change of Variables and Newton’s Method: https://youtu.be/ZEQJc6BtHrU (For the correct calculation see: https://www.youtube.com/watch?v=3Pt4E1BeUTw&t=104s)
- Class 33: 5/5: HW from Section 15.4. Spherical Integration (volume n-sphere), elliptical integration: https://youtu.be/z7wfwZ9Lr0s
- Class 32: 5/3: HW from Section 15.3. Spherical Integrals: https://youtu.be/Pjp19j-R4dw
- Class 31: 5/1: HW from Section 15.2. Triple Integrals: https://youtu.be/hD3qal6H1gg
- Class 30: 4/28: Integration over Simple Regions: https://youtu.be/qOZZxLiFIP0
- Class 29: 4/26: HW from Section 15.1. Monte Carlo Integration: https://youtu.be/QHgSQDNQQTU (Mathematica file: MonteCarloIntegration2 and pdf version)
- Class 28: 4/24: Integration in Several Variables, Dangers with Infinities: https://youtu.be/gLEfgNRcKmA
- Class 27: 4/21: Fundamental Theorem of Calculus: https://youtu.be/IQj0lHPx3-4
- Class 26: 4/19: Exam
- Class 25: 4/17: Pythagoras at the Bat: Slides, Video: https://youtu.be/reUdQ0NPbPY (can get papers from my homepage, especially this one)
- Class 24: 4/14: HW from Section 14.8: Lagrange Multipliers II, Drowning Swimmer: https://youtu.be/-QEyiSaZQZo
- Class 23: 4/12: HW from Sections 14.6 (last problem extra credit) and 14.7: Lagrange Multipliers: https://youtu.be/omW5MRL_zVw
- Class 22: 4/10: HW from Sections 14.4 and 14.5: https://youtu.be/kNqwNfczw74
- Class 21: 4/7: Battle of Trafalgar: https://youtu.be/gxCZOZZx9KQ
- Class 20: 4/5: HW from Sections 14.1, 14.2, 14.3. Tangent Planes, Approximations, Directional Derivatives: https://youtu.be/sndIgR0iTxI
- Class 19: 4/3: Domain and Range, Limits, Partial Derivatives: https://youtu.be/CF1y6yZDvao
- Bonus Review Class: 3/28: https://youtu.be/ceTXDndMUfg
- Class 18: 3/15: Introduction to Differentiation in Several Variables: https://youtu.be/BsK4OUhxHIo
- Class 17: 3/15: review / discussion on exam
- Class 16: 3/13: In class exam
- Class 15: 3/10: Chaos, Fractals and Newton’s Method: Video: https://youtu.be/sRVXHXuMnJ4 Slides here.
- Class 14: 3/8: Method of Least Squares: Video and slides from previous year: https://youtu.be/I2Z47ypMtBI (slides here) (notes on method of least squares)
- Class 13: 3/6: HW from Section 12.7 in HW Problems file. Lecture on using Mathematica: Video: https://youtu.be/izUcZ0hwYeY Math150Sp23MathematicaNotebook pdf file: Math150Sp23MathematicaNotebook.
- Class 12: 3/3: HW from Sections 12.4 and 12.5 in HW Problems file. Lecture on Sections 12.6 and 12.7: Level Sets and Special Coordinate Systems: https://youtu.be/6QEQIMQf7g8
- Class 11: 3/1: HW from Section 12.3 in HW Problems file. Lecture on 12.4, 12.5 and possibly 12.6: Cross Product: Video: https://youtu.be/KpJmKkFqJe0
- Class 10: HW from Sections 12.1 and 12.2 in HW Problems file. Lecture on 12.3 and possibly 12.4: Dot Product: Video: https://youtu.be/0keO_ByxMEE
- Class 09: HW from Sections 10.6, 10.7 and 10.8 in HW Problems file. Lecture on 12.1 and 12.2. Video: https://youtu.be/K0J6WHQwLQQ
- Class 08: No written HW due, read 12.1 and 12.1 (skipping Chapter 11). Taylor Series II and Series Review: https://youtu.be/KevnjvST4Kg
- Class 07: 2/20: Taylor Series and hand in HW from Sections 10.4 and 10.5 in HW Problems file. https://youtu.be/pLqCQFS9KMM
- Class 06: 2/15: Sequences and Series (Alternating, Ratio and Root Tests): https://youtu.be/kOIOjyHQtNc and hand in HW from Sections 10.1, 10.2, 10.3 in HW Problems file.
- Class 05: 2/13: Sequences and Series: Definitions, Basic Properties, Integral Test, L’Hopital: https://youtu.be/gtLVCKB32B8
- Class 04: Introduction to Sequences and Series: https://youtu.be/-FGp2M9tMO4
- Class 03: Review of Calc I and II: https://youtu.be/ICj4EdLh4Ak
- Class 02: Review of Calc I: https://youtu.be/C73M7A-KN54
- Class 01: Introduction: https://youtu.be/tEkxqje0_A8