Week of	Monday	Wednesday	Friday	Topics
8/27	1.1	1.2	1.3	Linear equations, Gauss elimination. Matrix algebra.
9/03	Holiday	2.1	2.2	Linear transformations.
9/10	2.3 note	2.4	3.1	Inverse matrices. Matrix multiplication. Images and kernels. Subspaces.
9/17	3.2	3.3	3.3	Bases. Linear independence. Dimension. Rank nullity theorem
9/24	3.4	4.1, 4.2	4.3	Coordinates. Linear Spaces. Linear transformations and isomorphisms. Matrices and linear transformations.
10/01	5.1	5.2	Exam: Chapters 1-4	Orthogonal projections. Orthonormal Bases, Gram-Schmidt.
10/08	5.3	5.4	5.5	Orthogonal transformations. Least Squares. Inner product spaces.
10/15	5.5	6.1, 6.2	6.3	Fourier Series, Determinants.
10/22	7.1	7.2	7.3	Eigenvalues and eigenvectors.
10/29	7.4	7.5	*4.1--4.3	Diagonalization. Complex eigenvalues. *Review of ODE.
11/05	4.3 ,6.1	6.1--6.2	9.1,9.4	Superposition principle. Higher order ODE, Systems of ODE
11/12	Holiday	9.4, 9.5	Exam: Linear Algebra	Linear Systems in normal form. Constant coefficients
11/19	9.5,9.6	9.8	Holiday	Constant coefficeints, complex eigenvalues. Matrix exponential
11/26	10.2, 10.1	10.2	10.3	Boundary value problems. Separation of variables. Fourier Series.
12/03	10.4	10.5	10.5	Odd and even functions. The Heat equation.
12/10	Review	X	X	Review

*At this point we switch textbooks.

Note: there are some links to lecture slides on this page.

The above schedule is provisional and subject to change as the course progresses, so keep in touch. Please make arrangements now to be in town for the scheduled midterms; it's just not possible for me to arrange special midterms for the convenience of individuals in such a large class. According to university regulations, incompletes can only be given when, due to circumstances beyond your control, you are unable to take one of the exams, and cannot be used to allow more time to catch up because you have fallen behind.

The grading will be weighted approximately as follows: midterms 30%, class work 25%, final 45%. Calculators and notes are not permitted during examinations; please do not bring cram sheets to the examination rooms. Linear algebra is conceptually very clear and simple, and I hope that everything you need to know will fit easily in your head.