\vsize 11in \frenchspacing \def\itemm#1{\par\hangindent2\parindent\noindent\rlap{#1}% \indent\ignorespaces} \magnification=\magstep1 \baselineskip=14pt \lineskiplimit=3pt \lineskip=3pt minus 1pt \nopagenumbers \par\noindent {\bf Math 54, Section 1: Differential equations and linear algebra.} \par\noindent H.W. Lenstra, Jr. (office hours MF 3:15--4:15 p.m., 879 Evans, tel. 643-7857). \par\noindent Spring 1996, MWF 2--3, 10 Evans. \vskip 8pt\noindent Prerequisites: 1A--B or equivalent. Textbooks: \itemm{} H. Anton, {\sl Linear algebra\/} (seventh edition), John Wiley \& Sons, New York, 1994; \itemm{} W.$\,$E. Boyce \& R.$\,$C. DiPrima, {\sl Elementary differential equations and boundary value problems}, John Wiley \& Sons, 1992. \par\noindent The textbooks will be followed fairly closely. Approximate course outline. The first five weeks are devoted to linear algebra (Anton): Chapter 1 (weeks 1 \& 2), Chapter 2 (week 3), Chapter 4 and Chapter 5, Sections 1 \& 2 (weeks 4 \& 5). This material is covered by the first midterm, on Friday, February 16, 2--3 p.m. (rooms to be announced). The second five weeks are also devoted to linear algebra (Anton): Chapter 5, Sections 3--6 (weeks 6 \& 7), Chapter 6 (without Section 4) (week 8), Chapter 7 (weeks 9 \& 10). This material is covered by the second midterm, on Friday, March 22, 2--3 p.m. (rooms to be announced). The last five weeks, after the Spring Recess, are devoted to differential equations (Boyce \& DiPrima): Sections 3.2, 3.3, 4.1, 7.4--7 (weeks 11--13), Chapter 10, Sections 1--6 (weeks 14 \& 15). The final examination is on Friday, May 17, 5--8 p.m. (room to be announced). The final examination covers differential equations. Homework, consisting of about 10 problems, will be assigned every week on Monday. It is due by Tuesday the following week. Due to the unavailability of readers only one problem will be graded every week. Every Tuesday there is a short quiz on two other problems from the homework assignment, or on slight variations thereof. Grading policy: 15\% homework, 25\% quizzes, 20\% first midterm, 20\% second midterm, 20\% final examination. There will be no make-ups for a midterm without a note of a doctor that you were indisposed. \bye