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 : Discord
anonymous feedback : google form

Content

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

Journal

Date (Day of Week) Content
August 23 (Wednesday) Introduction, What is math for physics?
August 25 (Friday) Review of Linear algebra
Homework 1
August 28 (Monday) Review of Linear algebra 2
August 30 (Wednesday) Review of Calculus, limit and series
September 1 (Friday) Review of Calculus, differentiations and integral
Homework 2
September 6 (Wednesday) Complex number, geometry of complex number
September 8 (Friday) Basic complex functions. Log. poles
Homework 3
September 11 (Monday) Analytic Function. Meromorphic Function. Series Expansion
September 13 (Wednesday) Integral of holomorphic functions
September 15 (Friday) Contour integral: Exercises
Homework 4
September 18 (Monday) Residue Theorem and More Contour Integral
September 20 (Wednesday) Riemann sphere.
September 22 (Friday) Branch Cut, multivalued function
Homework 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
Homework 6
October 9 (Monday) Discrete Fourier Transform. Summary.
October 11 (Wednesday) Examples of Fourier Transform.
October 13, Friday Parseval Equality. Convolution.
Homework 7
October 16 (Monday) Laplace Transform.
October 18 (Wednesday)
October 20 (Friday) Practice Day
Homework 8
October 23 (Monday) Constant Coeff Diff Eq. Characteristic Eq.
October 25 (Wednesday) general formula
October 27 (Friday) Laplace method. Inhomogeneous term
HW 9
October 30 (Monday) Delta function, Green's function
November 1 (Wednesday) Other methods for solving ODE
November 3 (Friday) Review 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 video
November 17 (Friday) Euler equation Boas 9.2 video
HW 11 (Due Nov 27) Boas (9.1 #2,3 ), (9.2 # 1,2,3,9)
November 20 (Monday) examplesvideo
November 27 (Monday) optimize with constraints video
November 29 (Wednesday)
December 1 (Friday)
December 11 (Monday) final,solution