| Both sides previous revision
Previous revision
Next revision
|
Previous revision
Last revision
Both sides next revision
|
math104-s21:start [2021/04/27 14:21]
pzhou [Lectures] |
math104-s21:start [2022/01/11 10:57]
pzhou ↷ Links adapted because of a move operation |
| * Elementary Analysis: The Theory of Calculus, by Kenneth A. Ross. You can download a copy of this book [[https://link.springer.com/book/10.1007/978-1-4614-6271-2 | here]] (UC account login required). | * Elementary Analysis: The Theory of Calculus, by Kenneth A. Ross. You can download a copy of this book [[https://link.springer.com/book/10.1007/978-1-4614-6271-2 | here]] (UC account login required). |
| * Principles of Mathematical Analysis, by Walter Rudin | * Principles of Mathematical Analysis, by Walter Rudin |
| | |
| | Here is a problem book with solutions. The scope of this book does not exactly match with this course, which follows closely with Rudin. |
| | * //A Problem Book in Real Analysis//, available to [[https://link.springer.com/book/10.1007/978-1-4419-1296-1 | download from springer]] |
| |
| |
| ==== Homeworks ==== | ==== Homeworks ==== |
| There are weekly homeworks, grades will be published the next Wednesday night. There is always a late due date, 24h after the normal due date, only for emergency use. | There are weekly homeworks, grades will be published the next Wednesday night. There is always a late due date, 24h after the normal due date, only for emergency use. |
| * [[HW1]], Due Jan 29th 6pm (Friday). {{ :math104:hw1.pdf |solution}} | * [[HW1]], Due Jan 29th 6pm (Friday). {{ math104-s21:hw1.pdf |solution}} |
| * [[HW2]], Due Feb 5th 6pm (Friday). {{ :math104:hw2.pdf |solution}} | * [[HW2]], Due Feb 5th 6pm (Friday). {{ math104-s21:hw2.pdf |solution}} |
| * [[HW3]], Due Feb 12th 6pm (Friday) {{ :math104:hw3.pdf |solution}} | * [[HW3]], Due Feb 12th 6pm (Friday) {{ math104-s21:hw3.pdf |solution}} |
| * [[HW4]], Due Feb 20th 6pm **(Saturday)** {{ :math104:hw4.pdf |solution}} | * [[HW4]], Due Feb 20th 6pm **(Saturday)** {{ math104-s21:hw4.pdf |solution}} |
| * [[HW5]], Due Feb 27th 6pm **(Saturday)**{{ :math104:hw5.pdf |solution}}, [[hw5-mistakes | common mistakes]] | * [[HW5]], Due Feb 27th 6pm **(Saturday)**{{ math104-s21:hw5.pdf |solution}}, [[hw5-mistakes | common mistakes]] |
| * [[HW6]], Due Mar 5th 6pm (Friday){{ :math104:hw6.pdf |solution}} | * [[HW6]], Due Mar 5th 6pm (Friday){{ math104-s21:hw6.pdf |solution}} |
| * [[HW7]], Due Mar 12th 6pm (Friday){{ :math104:hw7.pdf |solution}} | * [[HW7]], Due Mar 12th 6pm (Friday){{ math104-s21:hw7.pdf |solution}} |
| * ** [[about solution manual]] ** | * ** [[about solution manual]] ** |
| * [[HW8]], Due Mar 19th 6pm (Friday) {{ :math104:hw8.pdf |solution}} | * [[HW8]], Due Mar 19th 6pm (Friday) {{ math104-s21:hw8.pdf |solution}} |
| * [[HW9]], Due Mar 28th 6pm (Sunday) {{ :math104:hw_9.pdf |solution}} | * [[HW9]], Due Mar 28th 6pm (Sunday) {{ math104-s21:hw_9.pdf |solution}} |
| * [[HW10|HW10]], Due Apr 16th 6pm (Friday) {{ :math104:hw10.pdf |solution}} | * [[HW10|HW10]], Due Apr 16th 6pm (Friday) {{ math104-s21:hw10.pdf |solution}} |
| * [[hw11]], Due Apr 23 6pm (Friday) {{ :math104:hw11.pdf |solution}} | * [[hw11]], Due Apr 23 6pm (Friday) {{ math104-s21:hw11.pdf |solution}} |
| * [[hw12]], Due Apr 30 6pm (Friday) (last homework) | * [[hw12]], Due Apr 30 6pm (Friday) {{ math104-s21:hw_12.pdf |solution}}(last homework) |
| ==== Lectures ==== | ==== Lectures ==== |
| Here I put lecture video (valid for 30 days) and notes. 1 means section 9:30 and 2 means section 12:30. They are more or less the same. ** video will expire after 30 days **. Videos can also be found on bcourse, which will not be deleted. | Here I put lecture video (valid for 30 days) and notes. 1 means section 9:30 and 2 means section 12:30. They are more or less the same. ** video will expire after 30 days **. Videos can also be found on bcourse, which will not be deleted. |
| |
| | Date | Content | Notes | Videos | | | Date | Content | Notes | Videos | |
| | Jan 19, Tue | Logistic and Number system |{{ :math104:note_jan_19_2021.pdf |1}}, {{ :math104:note_jan_19_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/NOH2ydlIp0ymPUlI-6d8bChkRs_1A0o2ZwQxQsYqa_ugMCGQ43BIS4B-E0mRPuC6.1mBqBPWV2a7GunG8 | 1]], [[https://berkeley.zoom.us/rec/share/z-mJDKSzOQDe0pISKp9ZZYu7z-Vw68ov5h4r3_26AqqrcN58iXVe3AaRIeIa9va_.kSOa3HBJUI2H1vIS | | Jan 19, Tue | Logistic and Number system |{{ math104-s21:note_jan_19_2021.pdf |1}}, {{ math104-s21:note_jan_19_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/NOH2ydlIp0ymPUlI-6d8bChkRs_1A0o2ZwQxQsYqa_ugMCGQ43BIS4B-E0mRPuC6.1mBqBPWV2a7GunG8 | 1]], [[https://berkeley.zoom.us/rec/share/z-mJDKSzOQDe0pISKp9ZZYu7z-Vw68ov5h4r3_26AqqrcN58iXVe3AaRIeIa9va_.kSOa3HBJUI2H1vIS |
| | 2 ]] | | | 2 ]] | |
| | Jan 21, Thu | Completeness Axiom and Sequence |{{ :math104:note_jan_21_2021.pdf |1}}, {{ :math104:note_jan_21_2021_3_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/m8bU04REYsokMpaRQBScFhdkMKUOb5_9NqEpbJLrUIx9S32FOgNFlkadpKk4uJDW.5FmvHV3FeiTNo5BJ | | Jan 21, Thu | Completeness Axiom and Sequence |{{ math104-s21:note_jan_21_2021.pdf |1}}, {{ math104-s21:note_jan_21_2021_3_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/m8bU04REYsokMpaRQBScFhdkMKUOb5_9NqEpbJLrUIx9S32FOgNFlkadpKk4uJDW.5FmvHV3FeiTNo5BJ |
| |1]], [[https://berkeley.zoom.us/rec/share/pEwZk4gadMV557Gq8L44Hb0XuSxk5cHx-uFRCdCKUu5b1Hztm6AqHFC1i0S1w29_.eLOGyEtbsuEiBeF8 | |1]], [[https://berkeley.zoom.us/rec/share/pEwZk4gadMV557Gq8L44Hb0XuSxk5cHx-uFRCdCKUu5b1Hztm6AqHFC1i0S1w29_.eLOGyEtbsuEiBeF8 |
| |2]] | | |2]] | |
| | Jan 26, Tue | Ross §7,§9 | {{ :math104:note_jan_26_2021.pdf |1}}, {{ :math104:note_jan_26_2021_2_.pdf |2}}| [[https://berkeley.zoom.us/rec/share/jSPmJCqt0g7ThCfc3CzJYsqyJJi-36rpI0aaa--jTDw-Uq_4IgJ4a0Yy3R8WFjrS.D-Fv7k8hET995EIc |1]], [[https://berkeley.zoom.us/rec/share/lrclJ9eB7ECfGa_TaAy0dk1bdb_9vFTWVN0tAYvyssyvs_YKVQp6lrcvD8qQ2XrN.OY0cTxS5r9Vagtn6|2]] | | | Jan 26, Tue | Ross §7,§9 | {{ math104-s21:note_jan_26_2021.pdf |1}}, {{ math104-s21:note_jan_26_2021_2_.pdf |2}}| [[https://berkeley.zoom.us/rec/share/jSPmJCqt0g7ThCfc3CzJYsqyJJi-36rpI0aaa--jTDw-Uq_4IgJ4a0Yy3R8WFjrS.D-Fv7k8hET995EIc |1]], [[https://berkeley.zoom.us/rec/share/lrclJ9eB7ECfGa_TaAy0dk1bdb_9vFTWVN0tAYvyssyvs_YKVQp6lrcvD8qQ2XrN.OY0cTxS5r9Vagtn6|2]] | |
| | Jan 28, Thu | Ross §10, Monotone sequence | {{ :math104:note_jan_28_2021.pdf |1}}, {{ :math104:note_jan_28_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/oVzbK_ssi43tzEjT__mR3BwAzSiCmy_AmqT9QvgWdQkJjevtsHPveZyL-N2KPCzw.idmISrVB42f5DHpy|1]], [[https://berkeley.zoom.us/rec/share/UjlSif93v7Cso2CW8hIrV2CSX1aDRikVW0AaKGG0KspQ11YlFdc5_XsBe17LH8Mj.so90R_HCga58NDAF|2]] | | | Jan 28, Thu | Ross §10, Monotone sequence | {{ math104-s21:note_jan_28_2021.pdf |1}}, {{ math104-s21:note_jan_28_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/oVzbK_ssi43tzEjT__mR3BwAzSiCmy_AmqT9QvgWdQkJjevtsHPveZyL-N2KPCzw.idmISrVB42f5DHpy|1]], [[https://berkeley.zoom.us/rec/share/UjlSif93v7Cso2CW8hIrV2CSX1aDRikVW0AaKGG0KspQ11YlFdc5_XsBe17LH8Mj.so90R_HCga58NDAF|2]] | |
| | Feb 2, Tue | Cauchy Sequence, limsup and liminf | {{ :math104:note_feb_2_2021.pdf |1}}, {{ :math104:note_feb_2_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/T9qrdsXbfoGqua9IEG79sV1g1R7Xmi6H7w_xA9WLnCD3CTk5sevwEc3qheL0P7CR.amLZR7OlS6hF5Zri |1]], [[https://berkeley.zoom.us/rec/share/pJGVF3zGDN_cr0d7VSUiqVJWGww38wtnFkFNX5IZ_XQr4LsXYUOL8OyJRkOVHB7m.U0HkUes84nDpZJkq |2]] | | | Feb 2, Tue | Cauchy Sequence, limsup and liminf | {{ math104-s21:note_feb_2_2021.pdf |1}}, {{ math104-s21:note_feb_2_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/T9qrdsXbfoGqua9IEG79sV1g1R7Xmi6H7w_xA9WLnCD3CTk5sevwEc3qheL0P7CR.amLZR7OlS6hF5Zri |1]], [[https://berkeley.zoom.us/rec/share/pJGVF3zGDN_cr0d7VSUiqVJWGww38wtnFkFNX5IZ_XQr4LsXYUOL8OyJRkOVHB7m.U0HkUes84nDpZJkq |2]] | |
| | Feb 4, Thu | Subsequence | {{ :math104:note_feb_4_2021.pdf |1}}, {{ :math104:note_feb_4_2021_2_.pdf |2}} | [[https://cloud.yiye.page/s/8o3G6CZFPrWbtQb |1]], [[https://berkeley.zoom.us/rec/share/l8TrHZxymA4r-QB14_UPt2Op2kpv7keANaW-0CLn9fgLgkVdNXnVit5sHxT4lKqo.tOWd20Qbb8OtDsM8|2]] | | | Feb 4, Thu | Subsequence | {{ math104-s21:note_feb_4_2021.pdf |1}}, {{ math104-s21:note_feb_4_2021_2_.pdf |2}} | [[https://cloud.yiye.page/s/8o3G6CZFPrWbtQb |1]], [[https://berkeley.zoom.us/rec/share/l8TrHZxymA4r-QB14_UPt2Op2kpv7keANaW-0CLn9fgLgkVdNXnVit5sHxT4lKqo.tOWd20Qbb8OtDsM8|2]] | |
| | Feb 9, Tue | Subsequence(2) | {{ :math104:note_feb_9_2021.pdf |1}}, {{ :math104:math_104_2020-02-09_2.pdf |2}} |[[https://berkeley.zoom.us/rec/share/HwnPcU-Ep3Oe2Mijfy7toy_a86QxDdAFTrKgB2bIIoab5kz1uhtcpq-V7gL4w_ZH.cluH6bTl9F64B-Z4|1]] [[https://berkeley.zoom.us/rec/share/gUkTOYqm4z8CvEr8Eit6gVfcAPWJ3FoipfRS1yu-FmhkvIq2Q7VBI2FDq9TO4EKx.lPcG8YtYQlnaBtFA|2]] | | | Feb 9, Tue | Subsequence(2) | {{ math104-s21:note_feb_9_2021.pdf |1}}, {{ math104-s21:math_104_2020-02-09_2.pdf |2}} |[[https://berkeley.zoom.us/rec/share/HwnPcU-Ep3Oe2Mijfy7toy_a86QxDdAFTrKgB2bIIoab5kz1uhtcpq-V7gL4w_ZH.cluH6bTl9F64B-Z4|1]] [[https://berkeley.zoom.us/rec/share/gUkTOYqm4z8CvEr8Eit6gVfcAPWJ3FoipfRS1yu-FmhkvIq2Q7VBI2FDq9TO4EKx.lPcG8YtYQlnaBtFA|2]] | |
| | Feb 11, Thu | §12 limsup, liminf and review |{{ :math104:note_feb_11_2021.pdf |1}}, {{ :math104:note_feb_11_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/HwJxYBgAgA5fqKoZJJPzGFPjqBL7EhXQgKjePZwJFGLM3xcgEaMNSkALQ_rBBT_o.vpvnGkeQKnRb_sxi|1]], [[https://berkeley.zoom.us/rec/share/BveMD5p8lQvkXn-zdrjKcvloIV-mP08ABs2bmFul-WX_bHzpQiLhPk_jAf9EPmVC.wrs9A7BmiQMi_d-N|2]] | | | Feb 11, Thu | §12 limsup, liminf and review |{{ math104-s21:note_feb_11_2021.pdf |1}}, {{ math104-s21:note_feb_11_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/HwJxYBgAgA5fqKoZJJPzGFPjqBL7EhXQgKjePZwJFGLM3xcgEaMNSkALQ_rBBT_o.vpvnGkeQKnRb_sxi|1]], [[https://berkeley.zoom.us/rec/share/BveMD5p8lQvkXn-zdrjKcvloIV-mP08ABs2bmFul-WX_bHzpQiLhPk_jAf9EPmVC.wrs9A7BmiQMi_d-N|2]] | |
| | Feb 16, Tue | §13 Metric Space and Topology | {{ :math104:note_feb_16_2021.pdf |1}}, {{ :math104:note_feb_16_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/D07cu2-L5xs7Df4SZ2OoB4xwVYR2JrtT5pKW9dIasqvQxyiX3iGsDLw6tvrLDbjt.lEIOQ3IFII75JkaU|1]], [[https://berkeley.zoom.us/rec/share/SgiCs_eZGZflHtjI8xZL2PjSG7RyMtfZ5jzjoPWWtLZZObUY0LopEUqZIlkDKAom.Aa-cYswKbAfNh6do|2]] | | | Feb 16, Tue | §13 Metric Space and Topology | {{ math104-s21:note_feb_16_2021.pdf |1}}, {{ math104-s21:note_feb_16_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/D07cu2-L5xs7Df4SZ2OoB4xwVYR2JrtT5pKW9dIasqvQxyiX3iGsDLw6tvrLDbjt.lEIOQ3IFII75JkaU|1]], [[https://berkeley.zoom.us/rec/share/SgiCs_eZGZflHtjI8xZL2PjSG7RyMtfZ5jzjoPWWtLZZObUY0LopEUqZIlkDKAom.Aa-cYswKbAfNh6do|2]] | |
| | Feb 18, Thu | [[Midterm-1]] and [[suggestions | suggestions]] | {{ :math104:math_104-mt1a.pdf |A}}, {{ :math104:math_104-mt1b.pdf |B}} | {{ :math104:midterm_1_solution.pdf |solution}} [[mt1-stat|stat]] | | | Feb 18, Thu | [[Midterm-1]] and [[suggestions | suggestions]] | {{ math104-s21:math_104-mt1a.pdf |A}}, {{ math104-s21:math_104-mt1b.pdf |B}} | {{ math104-s21:midterm_1_solution.pdf |solution}} [[mt1-stat|stat]] | |
| | Feb 23, Tue | §13 Compactness |{{ :math104:note_feb_23_2021.pdf |1}}, {{ :math104:note_feb_23_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/zHbY73kUh-HpHutiavc_PVoH8U-aEoNiJZK4H9iEbvUYL0Eefhm4NTmwcHnGKrVO.fH2144ANsHlAdK40|1]], [[https://berkeley.zoom.us/rec/share/UJMCwgRWGT6ZGwulm9EKDryJGGkjU1OTWgftugoLR2qoIWhwHkk3UGWBpA2wX8oe.3neJhcfjCwMi6smW |2]] | | | Feb 23, Tue | §13 Compactness |{{ math104-s21:note_feb_23_2021.pdf |1}}, {{ math104-s21:note_feb_23_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/zHbY73kUh-HpHutiavc_PVoH8U-aEoNiJZK4H9iEbvUYL0Eefhm4NTmwcHnGKrVO.fH2144ANsHlAdK40|1]], [[https://berkeley.zoom.us/rec/share/UJMCwgRWGT6ZGwulm9EKDryJGGkjU1OTWgftugoLR2qoIWhwHkk3UGWBpA2wX8oe.3neJhcfjCwMi6smW |2]] | |
| | Feb 25, Thu | §14, 15 Series |{{ :math104:note_feb_25_2021_2_.pdf |1}}, {{ :math104:note_feb_25_2021_3_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/5c9C6MbE17MhEME2K_MRH806qdkhr8Dbf7famYD17ChtcnIT8JABRC6YM7aZeWel.NC_qMH1H6Oteg8Mx|1]], [[https://berkeley.zoom.us/rec/share/T8LsLDNmoI0rIOQzRwW7LunHRKjZcWW7Ll4ifEAa8c4jtO9mOEwonSMLO43k8CN9.Ktu1i8FhqzKIscl1|2]] | | | Feb 25, Thu | §14, 15 Series |{{ math104-s21:note_feb_25_2021_2_.pdf |1}}, {{ math104-s21:note_feb_25_2021_3_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/5c9C6MbE17MhEME2K_MRH806qdkhr8Dbf7famYD17ChtcnIT8JABRC6YM7aZeWel.NC_qMH1H6Oteg8Mx|1]], [[https://berkeley.zoom.us/rec/share/T8LsLDNmoI0rIOQzRwW7LunHRKjZcWW7Ll4ifEAa8c4jtO9mOEwonSMLO43k8CN9.Ktu1i8FhqzKIscl1|2]] | |
| | Mar 2, Tue | Continuity of functions[Ru, p83-89] |{{ :math104:note_mar_2_2021.pdf |1}}, {{ :math104:note_mar_2_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/a2vCEX6TAPKtSkfVgqV_4YJQHMDtVlZfYREwrdvyA0NEkVbe2TkKPHEF63MgwGOd.AMkTzLF0XShUl-RT|1]], [[https://berkeley.zoom.us/rec/share/p3NScENade0764dRPtYlLotM825wpCiBqXtijfIHUpwQKhe5R0-5plQP77_7FFYa.5jlySlVMA8fGrCNF|2]] | | | Mar 2, Tue | Continuity of functions[Ru, p83-89] |{{ math104-s21:note_mar_2_2021.pdf |1}}, {{ math104-s21:note_mar_2_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/a2vCEX6TAPKtSkfVgqV_4YJQHMDtVlZfYREwrdvyA0NEkVbe2TkKPHEF63MgwGOd.AMkTzLF0XShUl-RT|1]], [[https://berkeley.zoom.us/rec/share/p3NScENade0764dRPtYlLotM825wpCiBqXtijfIHUpwQKhe5R0-5plQP77_7FFYa.5jlySlVMA8fGrCNF|2]] | |
| | Mar 4, Thu | Continuity and Compactness |{{ :math104:note_mar_4_2021.pdf |1}}, {{ :math104:note_mar_4_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/zd7rwqtGd_S-RAYFGKOQqqRhzR4Ew__8DoBhYyArMKul5UBag2Skjxx6x064sLGD.gab308Da7PFpKQ3R |1]], [[https://berkeley.zoom.us/rec/share/dEGfKcSeVnkEw3BMTUPNvgzMGQiZKEJ9NYtCUC3SVkCCBNR6VpTCXfJgpYRjm6U0.oxiXToup2y3H5mc7|2]] | | | Mar 4, Thu | Continuity and Compactness |{{ math104-s21:note_mar_4_2021.pdf |1}}, {{ math104-s21:note_mar_4_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/zd7rwqtGd_S-RAYFGKOQqqRhzR4Ew__8DoBhYyArMKul5UBag2Skjxx6x064sLGD.gab308Da7PFpKQ3R |1]], [[https://berkeley.zoom.us/rec/share/dEGfKcSeVnkEw3BMTUPNvgzMGQiZKEJ9NYtCUC3SVkCCBNR6VpTCXfJgpYRjm6U0.oxiXToup2y3H5mc7|2]] | |
| | Mar 9, Tue | Uniform Continuity, Connectedness | {{ :math104:note_mar_9_2021.pdf |1}}, {{ :math104:note_mar_9_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/OoMZAwLALEHGGu6yww0AIwGkLVXBZvzAWhJNHLWOzDJT5S4P6Y9L8OTqEUBBGb8B.KzklsWQdbgM2PmHf|1]], [[https://berkeley.zoom.us/rec/share/-7oWSb_6VFybUkqC_BsBfq5XB0VJ-5S0Y1oVM9E7AGOuZqzXCj71jyMUgoXjZzpG.pHvXaAX1ngPVNgp5|2]] | | | Mar 9, Tue | Uniform Continuity, Connectedness | {{ math104-s21:note_mar_9_2021.pdf |1}}, {{ math104-s21:note_mar_9_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/OoMZAwLALEHGGu6yww0AIwGkLVXBZvzAWhJNHLWOzDJT5S4P6Y9L8OTqEUBBGb8B.KzklsWQdbgM2PmHf|1]], [[https://berkeley.zoom.us/rec/share/-7oWSb_6VFybUkqC_BsBfq5XB0VJ-5S0Y1oVM9E7AGOuZqzXCj71jyMUgoXjZzpG.pHvXaAX1ngPVNgp5|2]] | |
| | Mar 11, Thu | Finishing Connectedness, Discussion and Examples | {{ :math104:note_mar_11_2021.pdf |1}}, {{ :math104:note_mar_11_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/8uxrUZGRLSO9NVJZwMI0av9QmTzxf7venGB58IhkFJicFUfBrNPQdPbVKDzGw5Ya.BHDlHy4C7aQEeKfd|1]], [[https://berkeley.zoom.us/rec/share/q4o6v-ThBRsoGm5RCWxlpw4WVi96lFx1RzgctllE6mjvFWjy903zsHqnKjUZQ8Rs.AEZ7vwmICm12C7ue|2]] | | | Mar 11, Thu | Finishing Connectedness, Discussion and Examples | {{ math104-s21:note_mar_11_2021.pdf |1}}, {{ math104-s21:note_mar_11_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/8uxrUZGRLSO9NVJZwMI0av9QmTzxf7venGB58IhkFJicFUfBrNPQdPbVKDzGw5Ya.BHDlHy4C7aQEeKfd|1]], [[https://berkeley.zoom.us/rec/share/q4o6v-ThBRsoGm5RCWxlpw4WVi96lFx1RzgctllE6mjvFWjy903zsHqnKjUZQ8Rs.AEZ7vwmICm12C7ue|2]] | |
| | Mar 16, Tue | Sequence and Convergence of functions |{{ :math104:note_mar_16_2021.pdf |1}}, {{ :math104:note_mar_16_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/JPieI9ADi3xL6FlToT1DFeQbVDTykFxSjoRQf_PL3Vt3Lp9PVzsncA6OUQ-rIhBa.-F48ZyX01iHF4vel|1]], [[https://berkeley.zoom.us/rec/share/SqZptt1dEKvq-TYCZ9dv4N7aj_RgpUUC5dUpJ1oVopS-plr0VLTNitY60i-Nx9Lq.hRo_Ic9-MqMMv6Hb |2]] | | | Mar 16, Tue | Sequence and Convergence of functions |{{ math104-s21:note_mar_16_2021.pdf |1}}, {{ math104-s21:note_mar_16_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/JPieI9ADi3xL6FlToT1DFeQbVDTykFxSjoRQf_PL3Vt3Lp9PVzsncA6OUQ-rIhBa.-F48ZyX01iHF4vel|1]], [[https://berkeley.zoom.us/rec/share/SqZptt1dEKvq-TYCZ9dv4N7aj_RgpUUC5dUpJ1oVopS-plr0VLTNitY60i-Nx9Lq.hRo_Ic9-MqMMv6Hb |2]] | |
| | Mar 18, Thu | Uniform Convergence and Continuity | {{ :math104:note_mar_18_2021.pdf |1}}, {{ :math104:note_mar_18_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/Gv0NqUlqX48Hc6Ta-g5_4MvZLBdm-CHqmgTkprCerw2L1haxU3sk0jhgnt5I4Bhe.rBWup3O5r1sYLZSs|1]], [[https://berkeley.zoom.us/rec/share/LufTnDXMRyK6KUlCzTiRDL6V9csPKVfmq4YAa6YebCCOh67anwoHTM6jb6Iqbjs8.8QWog7s1eg8VELld|2]] | | | Mar 18, Thu | Uniform Convergence and Continuity | {{ math104-s21:note_mar_18_2021.pdf |1}}, {{ math104-s21:note_mar_18_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/Gv0NqUlqX48Hc6Ta-g5_4MvZLBdm-CHqmgTkprCerw2L1haxU3sk0jhgnt5I4Bhe.rBWup3O5r1sYLZSs|1]], [[https://berkeley.zoom.us/rec/share/LufTnDXMRyK6KUlCzTiRDL6V9csPKVfmq4YAa6YebCCOh67anwoHTM6jb6Iqbjs8.8QWog7s1eg8VELld|2]] | |
| | Mar 23, 25 | Spring Break! | | | | | Mar 23, 25 | Spring Break! | | | |
| | Mar 30, Tue | Review |{{ :math104:note_mar_30_2021.pdf |1}}, {{ :math104:note_mar_30_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/OiknqGIJ4XkLVCk2koHgpbeH3SyP-snF0Ixi9yYp06MX6RySizUAO7hYn7cmt5L3.WT9PagI4vYH3Ulhf|1]], [[https://berkeley.zoom.us/rec/share/l--oudXJQ4nEUdP4XrOsyoKT_PK1YJ2Iox1j4RHxZyKlEyRL2eY_b0_xDoiCqlmk.kyEd8AcSCKln4Xxn|2]]| | | Mar 30, Tue | Review |{{ math104-s21:note_mar_30_2021.pdf |1}}, {{ math104-s21:note_mar_30_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/OiknqGIJ4XkLVCk2koHgpbeH3SyP-snF0Ixi9yYp06MX6RySizUAO7hYn7cmt5L3.WT9PagI4vYH3Ulhf|1]], [[https://berkeley.zoom.us/rec/share/l--oudXJQ4nEUdP4XrOsyoKT_PK1YJ2Iox1j4RHxZyKlEyRL2eY_b0_xDoiCqlmk.kyEd8AcSCKln4Xxn|2]]| |
| | Apr 1, Thu | [[Midterm-2]] | {{ :math104:math104-mt2-a.pdf |A}}, {{ :math104:math104-mt2-b.pdf |B}} | {{ :math104:math104-mt2-solution.pdf | solution}} [[math104:mt2-stat|stat]]| | | Apr 1, Thu | [[Midterm-2]] | {{ math104-s21:math104-mt2-a.pdf |A}}, {{ math104-s21:math104-mt2-b.pdf |B}} | {{ math104-s21:math104-mt2-solution.pdf | solution}} [[math104-s21:mt2-stat|stat]]| |
| | Apr 6, Tue | Differentiation, Mean Value Theorem | {{ :math104:note_apr_6_2021.pdf |1}}, {{ :math104:note_apr_6_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/HKCyZlk78aNiEc66sjoSYlkEkUtHhy1MZ6aSCrhiITivd-9ZykoLBjOQe6SGtihd.dAtvRkxtfGIzLRfo|1]], [[https://berkeley.zoom.us/rec/share/35G9cyuB7UNNIfi3YA14LrYTAQOodpZl9l2GGjd3GvskP0sxMPKDOKCw7cAZGj_C.6-OWMVnr0ErqQPgZ|2]] | | | Apr 6, Tue | Differentiation, Mean Value Theorem | {{ math104-s21:note_apr_6_2021.pdf |1}}, {{ math104-s21:note_apr_6_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/share/HKCyZlk78aNiEc66sjoSYlkEkUtHhy1MZ6aSCrhiITivd-9ZykoLBjOQe6SGtihd.dAtvRkxtfGIzLRfo|1]], [[https://berkeley.zoom.us/rec/share/35G9cyuB7UNNIfi3YA14LrYTAQOodpZl9l2GGjd3GvskP0sxMPKDOKCw7cAZGj_C.6-OWMVnr0ErqQPgZ|2]] | |
| | Apr 8, Thu |Mean Value Theorem, L'Hopital Rule | {{ :math104:note_apr_8_2021.pdf |1}}, {{ :math104:note_apr_8_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/play/XXvhNz5NF1zs4-3jmPLDcCRgSpS9e9sygYhsdCe1Uap2OGqoDFgePj_zY8En9R-eSSJ4UUGhrXLftqNR._zOQLOHoMoGVL1Yh?continueMode=true&_x_zm_rtaid=YZIbZyuTQXmVmseMDF2gUg.1617916229849.b11bff0202de40e2293378f93528da77&_x_zm_rhtaid=73|1]], [[https://berkeley.zoom.us/rec/share/JiMFHLQ3P0apQ-fa72kDuiKgE7bAnVzT6Eovdse6vL5C1rb8Au5yj8JYObY7VlfI.obGtrSOScmNbQGz0|2]] | | | Apr 8, Thu |Mean Value Theorem, L'Hopital Rule | {{ math104-s21:note_apr_8_2021.pdf |1}}, {{ math104-s21:note_apr_8_2021_2_.pdf |2}} |[[https://berkeley.zoom.us/rec/play/XXvhNz5NF1zs4-3jmPLDcCRgSpS9e9sygYhsdCe1Uap2OGqoDFgePj_zY8En9R-eSSJ4UUGhrXLftqNR._zOQLOHoMoGVL1Yh?continueMode=true&_x_zm_rtaid=YZIbZyuTQXmVmseMDF2gUg.1617916229849.b11bff0202de40e2293378f93528da77&_x_zm_rhtaid=73|1]], [[https://berkeley.zoom.us/rec/share/JiMFHLQ3P0apQ-fa72kDuiKgE7bAnVzT6Eovdse6vL5C1rb8Au5yj8JYObY7VlfI.obGtrSOScmNbQGz0|2]] | |
| | Announcement: [[tutor | drop-in tutor available ]] |||| | | Announcement: [[tutor | drop-in tutor available ]] |||| |
| | Apr 13, Tue | Taylor's Theorem | {{ :math104:note_apr_13_2021.pdf |1}}, {{ :math104:note_apr_13_2021_3_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/GLUsik9CXrGTajmu1hFlEl0EstxroYmTs27K2pgvqXa2IG8lztWopuK2F2onhcc.P6o1t0CxuDj542nh|1]], [[https://berkeley.zoom.us/rec/share/AqN0ibzEASMFAD8h2ajpvDDY2C4RkxI0RnA1-8N7_8cdsgk5docbHlUCR1t1UCX1.pmvrTVE8UlVqzw6f|2]] | | | Apr 13, Tue | Taylor's Theorem | {{ math104-s21:note_apr_13_2021.pdf |1}}, {{ math104-s21:note_apr_13_2021_3_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/GLUsik9CXrGTajmu1hFlEl0EstxroYmTs27K2pgvqXa2IG8lztWopuK2F2onhcc.P6o1t0CxuDj542nh|1]], [[https://berkeley.zoom.us/rec/share/AqN0ibzEASMFAD8h2ajpvDDY2C4RkxI0RnA1-8N7_8cdsgk5docbHlUCR1t1UCX1.pmvrTVE8UlVqzw6f|2]] | |
| | Announcement: 10 pts extra credits available: [[extra-credits | sharing notes and questions]] |||| | | Announcement: 10 pts extra credits available: [[extra-credits | sharing notes and questions]] |||| |
| | Apr 15, Thu | Finish Taylor Series. Begin Riemann integral | {{ :math104:note_apr_15_2021.pdf |1}}, {{ :math104:note_apr_15_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/pFDh-jWArJ3DYO5YW5Bj0uGoNMHSjj6C9KVGKTyWqunn4hU2Jq5EeFkjp9W3Chq8.g_KZ36A4MR2Ugd3p|1]], [[https://berkeley.zoom.us/rec/share/_sXMu3WIIvXXtGXtEBwMLQzTqPsYuKTD4oNkujpxbLrkyXYaUWK3oYOZ-x6uPse5.HVQSTdphE27CIWLF|2]] | | | Apr 15, Thu | Finish Taylor Series. Begin Riemann integral | {{ math104-s21:note_apr_15_2021.pdf |1}}, {{ math104-s21:note_apr_15_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/pFDh-jWArJ3DYO5YW5Bj0uGoNMHSjj6C9KVGKTyWqunn4hU2Jq5EeFkjp9W3Chq8.g_KZ36A4MR2Ugd3p|1]], [[https://berkeley.zoom.us/rec/share/_sXMu3WIIvXXtGXtEBwMLQzTqPsYuKTD4oNkujpxbLrkyXYaUWK3oYOZ-x6uPse5.HVQSTdphE27CIWLF|2]] | |
| | Apr 20, Tue | Discussion of Integrability | {{ :math104:note_apr_20_2021.pdf |1}}, {{ :math104:note_apr_20_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/iGZXxYRmqA-mgbcqLSIKo0UZijXzHofUP0Fu7Dei5debW6JMXvIoLlQ9pEYCqkLz.XMHnjtJDvoHBbsnU|1]], [[https://berkeley.zoom.us/rec/share/cN3IaTxLqWVsDhS4OW5y2wd7I3nNqp9vFAO8h8A1pXPEalf6vC8Jqm7fi2HoNKDP.uXr8lUXxiDrcoQWS|2]] | | | Apr 20, Tue | Discussion of Integrability | {{ math104-s21:note_apr_20_2021.pdf |1}}, {{ math104-s21:note_apr_20_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/iGZXxYRmqA-mgbcqLSIKo0UZijXzHofUP0Fu7Dei5debW6JMXvIoLlQ9pEYCqkLz.XMHnjtJDvoHBbsnU|1]], [[https://berkeley.zoom.us/rec/share/cN3IaTxLqWVsDhS4OW5y2wd7I3nNqp9vFAO8h8A1pXPEalf6vC8Jqm7fi2HoNKDP.uXr8lUXxiDrcoQWS|2]] | |
| | Apr 22, Thu | More on integrability | {{ :math104:note_apr_22_2021.pdf |1}}, {{ :math104:note_apr_22_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/QhuQlsYCFZW5XdMHwIjQKvkQ_aazMoWgRbQleMxtY32yYndruJH2slUJ-xHdFso.pMgH7JwlgKss-zj5 |1]], [[https://berkeley.zoom.us/rec/share/txW1vqZ0dbQEa0eDaBkhl7pGXK8YRAxCzCHlhAEVpZbiLhfac8dY16tcRNM9aS91.DQTNzLwqPP7ASxsm |2]] | | | Apr 22, Thu | More on integrability | {{ math104-s21:note_apr_22_2021.pdf |1}}, {{ math104-s21:note_apr_22_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/QhuQlsYCFZW5XdMHwIjQKvkQ_aazMoWgRbQleMxtY32yYndruJH2slUJ-xHdFso.pMgH7JwlgKss-zj5 |1]], [[https://berkeley.zoom.us/rec/share/txW1vqZ0dbQEa0eDaBkhl7pGXK8YRAxCzCHlhAEVpZbiLhfac8dY16tcRNM9aS91.DQTNzLwqPP7ASxsm |2]] | |
| |In the last 20 minutes of video #2 above, I discuss Rudin 6.13 - 6.17. People from morning session please also watch it. |||| | |In the last 20 minutes of video #2 above, I discuss Rudin 6.13 - 6.17. People from morning session please also watch it. |||| |
| | Apr 27, Tue | Integration and Differentiation | {{ :math104:note_apr_27_2021.pdf |1}}, {{ :math104:note_apr_27_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/njhk3tdPPg6ZnEs_142yxuamK0JOk6J2Wq3Oj3chgKIcUboJYF8EQt7YdoydygNz.WeinUujfp29Q_S2B |1]], [[https://berkeley.zoom.us/rec/share/Oct_fPRhdd5QXUIKZHYre55f_4AGpAjaebXPgoZsa4BJMHuxB9TZQWNO_7-h44ar.XVczqp2y46105Oua|2]] | | | Apr 27, Tue | Integration and Differentiation | {{ math104-s21:note_apr_27_2021.pdf |1}}, {{ math104-s21:note_apr_27_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/njhk3tdPPg6ZnEs_142yxuamK0JOk6J2Wq3Oj3chgKIcUboJYF8EQt7YdoydygNz.WeinUujfp29Q_S2B |1]], [[https://berkeley.zoom.us/rec/share/Oct_fPRhdd5QXUIKZHYre55f_4AGpAjaebXPgoZsa4BJMHuxB9TZQWNO_7-h44ar.XVczqp2y46105Oua|2]] | |
| | Apr 29, Thu | | | | | | Apr 29, Thu | Uniform Convergence and review | {{ math104-s21:note_apr_29_2021.pdf |1}}, {{ math104-s21:note_apr_29_2021_2_.pdf |2}} | [[https://berkeley.zoom.us/rec/share/dsT6RcQrRPgqVqb-7S7kiOwpYLnlWw6zndt-2loTcRJTxGpFQUL-4F4mFxht_l8.OQzg1kxK7i1kiuRI|1]], [[https://berkeley.zoom.us/rec/share/y08PTTvVbC6DP6KilHYWT77ERQg1yV5bBO7UOEFAi26lDXgBOIchC_yelodBIgVi.ASqR4yFUNUuDU0me|2]] | |
| | | May 12-13 | [[Final ]] |{{ math104-s21:math_104-2.pdf |exam}} | {{ math104-s21:math104-s21-final.pdf |solution}} [[final-stat|stat]]| |
| |
| |
