====== Math for physics Sciences ======
Berkeley Math 121A. 

Lecture: MoWeFr 10:00AM - 10:59AM	Dwinelle 109 \\
Office Hour: Wednesday 11am-12:30noon, Friday 11am-12:30noon.  Evans 753\\

Final Exam: Dec 11, 8-11am, classroom Dwinelle 109

** online discussion **: [[https://discord.gg/2sGY4FEUx | Discord]]\\
** anonymous feedback **: [[https://forms.gle/VPxdMGw7yGe8Esi8A | google form]]

** Content ** 
  * 0. Some calculus and Linear algebra (review). 
  * 1. Complex analysis. 
  * 2. Integral transform (Fourier transformation). 
  * 3. Calculus of Variation. 

** Grades ** Final (40%) + Midterms (20%) + Homework (40%)

** Textbook ** The traditional textbook is //Mathematical Methods in the Physical Sciences by Boas// . But we will not follow this one closely. I will post reading materials here.  

=== Videos ===
  * For Linear Algebra, we had some suggestions
    *  [[https://math.berkeley.edu/~apaulin/54(Spring%202018%20Videos%20and%20Notes).html | Prof Paulin's Linear Algebra and Differential Equations (Math 54) Spring 2018 Videos and Lecture Notes]] (thanks to Adam for sharing)
    * [[https://youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab&si=vqpm63-omMAOh5Pk | Essense of Linear algebra ]] (thanks to Cameron for sharing)

===== Journal  =====

| Date (Day of Week) | Content |
| [[August 23|August 23 (Wednesday)]] | Introduction, What is math for physics?        |
| [[August 25|August 25 (Friday)]] | Review of Linear algebra        |
| [[HW 1]] |  | 
| [[August 28|August 28 (Monday)]] | Review of Linear algebra 2        |
| [[August 30|August 30 (Wednesday)]] | Review of Calculus, limit and series        |
| [[September 1| September 1 (Friday)]] | Review of Calculus, differentiations and integral      |
| [[HW 2]] | |
| [[September 6 (Wednesday)|September 6 (Wednesday)]] | Complex number, geometry of complex number |
| [[September 8 (Friday) | September 8 (Friday)]] | Basic complex functions. Log. poles        |
| [[HW 3]] | |
| [[September 11 (Monday) | September 11 (Monday)]] | Analytic Function. Meromorphic Function. Series Expansion        |
| [[September 13 (Wednesday) | September 13 (Wednesday)]] | Integral of holomorphic functions       |
| [[September 15 (Friday) | September 15 (Friday) ]] | Contour integral: Exercises     |
| [[HW 4]] |  | 
| [[September 18 (Monday) | September 18 (Monday)]] | Residue Theorem and More Contour Integral        |
| [[September 20 (Wednesday) ]] | Riemann sphere.       |
| [[September 22 (Friday)]] | Branch Cut, multivalued function       |
| [[HW 5]] |  | 
| [[September 25 (Monday)]] | Application to real integrals.        |
| [[September 27 (Wednesday)]] | Gaussian integral. Steepest Descent.        |
| September 29 (Friday) | Review        |
| No HW | |
| October 2 (Monday) | [[Midterm 1]]        |
| [[October 4 (Wednesday)]] | Fourier integral        |
| [[October 6 (Friday)]] | Inverse transform, Fourier Series        |
| [[HW 6]] |  |
| October 9 (Monday) | Discrete Fourier Transform. Summary.         |
| [[October 11 (Wednesday)]] | Examples of Fourier Transform.        |
| [[October 13 (Friday)]] | Parseval Equality. Convolution.      |
| [[HW 7]] | |
| [[October 16 (Monday)]] | Laplace Transform.          |
| October 18 (Wednesday) |         |
| [[October 20 (Friday)|October 20 (Friday)]] | Practice Day        |
| [[HW 8]] |  |  
| [[October 23 (Monday)|October 23 (Monday)]] | Constant Coeff Diff Eq. Characteristic Eq.        |
| [[October 25 (Wednesday)|October 25 (Wednesday)]] | general formula      |
| [[October 27 (Friday)|October 27 (Friday)]] | Laplace method. Inhomogeneous term       |
| [[HW 9]] |  | 
| [[October 30 (Monday) | October 30 (Monday)]] | Delta function, Green's function        |
| [[November 1 (Wednesday)|November 1 (Wednesday)]] | Other methods for solving ODE        |
| [[November 3 (Friday) | November 3 (Friday)]] | Review   [[https://berkeley.zoom.us/rec/share/iHTp2-roLLNH5QTS5gD9wohi82KMXNFUwBY42kFmVgq_8P_owcL_HNcjRsokNezM.GsoYcY0i3lTplRx7 | video]]      |
| November 6 (Monday) | Midterm 2       |
| November 8 (Wednesday) | midterm review, and Boas 8.2, 8.3        |
| November 10 (Friday) | no class        |
| HW 10 (Due Nov 17) | Boas S8.2 #1,3,8, S8.3 #2, 5, 11 | 
| November 13 (Monday) | review minimum        |
| November 15 (Wednesday) | example of variation problem. Boas 9.1  [[https://berkeley.zoom.us/rec/share/eae0rOsHyk0HEBzaM2l0VfZoCWix1i3GahOGP4jwM-eorzPEg7vwJRA2lL_n3YSt.i5IrgQUuVe-HAuNL | video]]      |
| November 17 (Friday) | Euler equation Boas 9.2 [[https://berkeley.zoom.us/rec/share/Q-_KppLLGk_NEKYln4FyE7LZ8Hj7ZKEk8NWZ5Sc2Yxh0fiwPs2S0gDpq1qmZ4zV_.L_iTo96RUf4z65JV | video]]       |
| HW 11 (Due Nov 27) | Boas (9.1 #2,3 ), (9.2 # 1,2,3,9) |  
| November 20 (Monday) | examples[[https://berkeley.zoom.us/rec/share/1Yal5_VgfI75VllsNQEqNqzAwKClGShYsqyW2w_qs7NGfdmKTtDzTEI81DGY4-TY.Zche3MWwFcxDtHn0|video]]        |
| November 27 (Monday) | optimize with constraints [[https://berkeley.zoom.us/rec/share/aBbu2Vdwhf3a1OElhC-hO6xm_EgWWTo9_396r1gh8bKwZZhUApaBHm7xUEMZ5X3q.io0ycXs0uR_9Xa43|video]]        |
| November 29 (Wednesday) |         |
| December 1 (Friday) |         |
| December 11 (Monday) | {{ :math121a-f23:final2023.pdf |final}},{{ :math121a-f23:final2023-solution.pdf |solution}} |