MATH301-201 :       Applied Analysis and Complex Variables   (2nd term 2015/2016)
Lecture   I: Monday 11am--12:00pm, LSK 460.
Lecture   II: Wednesday 11am--12:00pm, LSK 460.
Lecture   III: Monday 11am--12:00pm, LSK 460.
Office Hours: Every Monday, Wednesday, Friday, 5:20pm-6pm, LSK 303B.
Lecture Notes For MATH301
Lecture Notes Lecture Notes 1
Lecture Notes Lecture Notes 2
Lecture Notes Lecture Notes 3
Lecture Notes Lecture Notes 4
Lecture Notes Lecture Notes 5
Lecture Notes Lecture Notes 6
Lecture Notes Lecture Notes 7
Lecture Notes Lecture Notes 8
Lecture Notes Lecture Notes 9
Lecture Notes Lecture Notes 9.5: Schwartz-Christoffel Formula
Lecture Notes Lecture Notes 10
Lecture Notes Lecture Notes 11
Lecture Notes Lecture Notes 12
Lecture Notes Lecture Notes 13
Lecture Notes Lecture Notes 14
Downloads For MATH301
Updates For MATH 301
Jan. 4: Laurent series, residues
Jan. 6: Cauchy residue theorems, computations of complex integrals.
Jan. 11: Computations of real integrals. Case 1 and Case 2. Jordan's Lemma.
Jan. 13: Computations of real integrals with other contours. Infinite Sums. Multiple-valued functions.
Jan. 15: infinite sums.
Jan. 18: Multiple-valued functions.
Jan. 20: Multiple-valued Functions
Jan. 22: Computing integrals using branch cuts.
Jan. 25: Computing real integrals using branch cuts. Finished Lecture Note 3.
Jan. 27: Computing integrals with residues at infinity. Lecture Note 4.
Jan. 29: Last integral in Lecture Note 4. Conformal mapping.
Feb 1: Conformal mappings.
Feb. 3: Examples of conformal mappings. Laplace equation
Feb. 5: Using conformal mapping to solve Laplace equation.
Feb. 8: Family Day
Feb. 10: Mobius transform. Properties.
Feb. 12: Examples of Mobius transform. Lecture Note 7.
Feb. 22: Solving Laplace Equations. Lecture Note 8.
Feb. 24: Solving Laplace Equation. Mobius transform from circle to circle. Lecture Note 9.
Feb. 29: Solving Laplace Equation. Continue on Mobius transform from circle to circle. Symmetric Points. Lecture Note 9.
March 2: Mobius transforms from cicle/lines to circle/lines. Lecture Note 9.
March 4: Schwarz-Christoffel mapping from upper half space to a triangle. Lecture Note 9.5.
March 7: Conformal mapping and fluid equations.
March 9: Flow past obstacles.
March 14: Fourier Transforms. Lecture Note 11.
March 16: Fourier Transform. Lecture Note 11.
March 18: Fourier Transform. Lecture Note 11.
March 21: End of Fourier Transform. Start on Lecture 12 on Laplace Transform.
March 23: Laplace Transform. Lecture Note 12.
March 30: Laplace Transform. Applications to ODEs and PDEs. Lecture Note 12.
April 1: Laplace transform and applications. Lecture Note 13.
April 5: Periodic functions and Laplace transform. Lecture Note 13.
April 8: Nyquist criterion. Lecure note 14.
Announcements For MATH 301
Midterm test date: Feb. 26, in class.
Coverage of Midterm test: up to Lecture Note 7.
No office hours on March 21, March 23.
Final Exam: April 15, 2016, 07:00PM, BUCH B213
I will be in my office from 10am to 4pm next week (April 11-15). Please feel free to knock on my door.