Date Chapter/Topics or Page/Problems M Aug 17 Lecture 1: Introduction and Overview Complex Numbers Introduction Assignment 1 Due Friday August 28 W 19 Lecture 2: Complex Numbers and Complex Functions M 24 Lecture 3: Riemann surfaces W 26 Lecture 4: Conformal Mapping M 31 Lecture 5: Complex Differentiation Assignment 2 DueFriday September 4Tuesday September 8 W Sept 2 Lecture 6:Complex IntegrationDifferentiation (cont.) M 7 holiday (no lecture) Exam 1 Due Friday September 18 W 9 Lecture 7: Complex Integration M 14 Lecture 8: Complex Integration W 16 Lecture 9: Linear Algebra (Introduction) M 21 Lecture 10: Linear Algebra (Vector Spaces) Assignment 3 Due Friday September 25 W 23 Lecture 11: Linear Algebra (subspaces, bases, dimension, coordinates) M 28 Lecture 12: Linear Algebra (coordinates and systems of linear equations) Assignment 4 Due Friday October 2 M 30 Lecture 13: Systems of Linear Equations M Oct 5 Lecture 14: Inverses and Projections Exam 2 Due Friday October 16 W 7 Lecture 15: Examples and Scaling of the Plane M 12 Lecture 16: Eigenvectors W 14 Lecture 17: Jordan shear transformation M 19 Lecture 18: ODEs: Introduction and Examples Assignment 5 Due Friday October 23 W 21 Lecture 19: ODEs: The Fundamental Theorem of Calculus and Functions Spaces M 26 Lecture 20: ODEs: FTC and Linear First Order ODE Assignment 6 DueFriday October 30Monday November 2 W 28 Lecture 21: Linear ODE M Nov 2 Lecture 22: Autonomous single equations Assignment 7Due Friday November 13Due Monday November 16 W 4 Lecture 23: Autonomous Systems M 9 Lecture 24: Linear Constant Coefficient Systems W 11 Lecture 25: Linearization M 16 Lecture 26: Rotational dynamics Important: Some things you can do with mathematical software pdf W 18 Lecture 27 (last lecture) M 23 no lecture Final Exam Due Monday December 7 W 25 no lecture M 30 no lecture T Dec 1 Finals Week M Dec 7 Final Exam 11:20-2:10