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--- math121b:home [2020/04/08 19:17]
pzhou [Lectures]
+++ math121b:home [2026/02/21 14:41] (current)
@@ Line 99: / Line 99: @@
   * Week 6
     * Midterm 1: Chapter 10. You may bring notes to exam.  {{ :math121b:math_121b_midterm1_sol.pdf | Midterm 1 and Solution}}
-    * [[02-26]]: Start Chapter 12.
+    * [[02-26]]: Start Chapter
-    * 02-28: Review Exam problems. Rodrigue formula. Generating functions. Read: Boas 12.4, 12,5
+    * 02-28: Review Exam problems. Rodrigue formula. Generating functions. Read: Boas , 12,5
   * Week 7
     * 03-02: More on generating function. Orthogonality of Legendre polynomial. Boas 10.5 - 10.7
-    * 03-04: Associated Legendre function. Boas 12.10
+    * 03-04: Associated Legendre function. Boas 0
     * 03-06: Started Bessel functions.
   * Week 8:
@@ Line 109: / Line 109: @@
     * [[03-11]]: Bessel functions.
       * Zoom meeting. [[https://berkeley.zoom.us/j/569471250]]
-    * 03-13: {{ :math121b:math_121b_note_13_mar_2020.pdf | note}} Boas section 12.16, 12.19.
+    * 03-13: {{ :math121b:math_121b_note_13_mar_2020.pdf | note}} Boas section 6, 9.
   * Week 9:
     * 03-16: {{ :math121b:note_16_mar_2020_121b.pdf | note}} Beta function 1 11.7
@@ Line 124: / Line 124: @@
     * [[04-06]]
     * 04-08: {{ :math121b:note_8_apr_2020.pdf |ipad note}}
+    * 04-10: {{ :math121b:note_10_apr_2020.pdf |ipad note}} (corrected a mistake about orthogonality of $P_l^m(x)$.
+    * [[midterm2 | Midterm 2]]: take home midterm, from Friday evening to Sunday midnight. Exam will be release through piazza. The test will cover Boas chapter 11 (Beta function and Gamma function), 12, 13 (except Integral transform section). It will not cover things outside of Boas, example: steepest descend method.
+    * [[midterm2-solution]]
+  * Week 13
+    * For the remaining 3 week, we will study probability.
+    * This week, we will cover basic concepts. Here is a [[http://ai.stanford.edu/~paskin/gm-short-course/lec1.pdf | summarizing note]].
+    * [[04-15]]{{ :math121b:note_15_apr_2020.pdf |ipad note}}. Read Boas 15.1 - 15.5
+    * SageMath / CoCalc: [[https://www.sagemath.org| SageMath]] is an open source math programming platform, contains python and R. [[https://cocalc.com/| CoCalc]] is an online server supporting it. So you don't have to install anything on your computer.
+    * Programming with R: read page 1-7 to get started. [[https://cran.r-project.org/doc/contrib/Verzani-SimpleR.pdf|intro]]
+  * Week 14: Famous continuous and discrete distribution
+    * 04-20: [[R]], {{ :math121b:note_20_apr_2020.pdf |ipad note}}, computer examples{{ :math121b:welcome_to_cocalc.pdf |}}.
+    * 04-22: {{ :math121b:note_22_apr_2020.pdf |ipad note}}. Suggested problems. Boas 15.11 #1 - #4, #10, #11.
+    * 04-24: Inequalities. {{ :math121b:note_24_apr_2020.pdf | note}}. And some R exercise, following [[https://cran.r-project.org/doc/contrib/Verzani-SimpleR.pdf|appendix]]
+  * Week 15
+    * 04-27: {{ :math121b:note_27_apr_2020.pdf |note}} introduction to stochastic process, following the  [[https://www.amazon.com/Introduction-Stochastic-Processes-Robert-Dobrow/dp/1118740653 |book ]] by Dobrow. Available online in library. The code used in today's lecture is from [[https://people.carleton.edu/~rdobrow/stochbook/RScripts.html | here]]
+    * 04-29: {{ :math121b:note_29_apr_2020.pdf |note }} Law of Large number, Central Limit Thm. Begin Hypothesis testing.
+    * 05-01: {{ :math121b:note_1_may_2020.pdf |note }}

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