Math H54 - Honors Linear Algebra and Differential Equations Spring, 2004

Lectures: TuTh 11am-12:30pm, Room 7 Evans Hall
Discussion section: MWF 8-9am, Room 3 Evans Hall
Course Control Number: 54717

Professor Mark Haiman

E-mail:
Office: 771 Evans
Phone: (510) 642-4318
Office Hours: W 11am-12:30pm

GSI: Jiangang Yao
Office: 1039 Evans
Office Hours: M 4-5pm and Th 1-2pm
Mailbox: 940 Evans

Prerequisites: Math 1B

Syllabus: Honors version of Math 54.  The course has two parts.
Part I: Linear algebra.  Vectors; matrices; solving linear equations.  Invertible matrices; determinants.  Vector spaces, bases, dimension and rank.  Inner product spaces, orthogonality, least-squares approximation.  Eigenvalues and eigenvectors; linear transformations.
Part II: Differential equations.  Review of linear ordinary differential equations in one variable.  Systems of linear differential equations; solution of systems with constant coefficients.  Introduction to Fourier series with applications to partial differential equations.

Required Texts:

• Hill, Elementary Linear Algebra (3rd Ed.)
• Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (7th Ed.)

Homework, exams and grading policy: Weekly homework assignments posted on the course web page and due in discussion section on Fridays (or in the GSI's mailbox by noon Friday).  Each homework set will contain some straightforward exercises, to check your understanding of the basic subject matter, and some more challenging problems, requiring a measure of creativity to solve.

Homework ground rules: feel free to discuss the homework problems and your ideas for solutions with other students.  However, if you work together with others, each of you must write up your solutions independently, without copying from solutions worked out jointly.

Percentage contribution of homework and exams to the overall course grade will be Homework 20%, Midterm exams 20% each, Final exam 40%.

• 1st Midterm Exam: Tues, Feb. 24
• 2nd Midterm Exam: Tues, Apr. 13
• Final Exam: Wednesday, May 19, 8:00-11:00am (exam group 12), Room 110 Wheeler