課程大綱

\documentclass[10pt]{article}
\usepackage[margin=0.85in]{geometry}
\usepackage{lmodern}
\usepackage{xcolor}
\usepackage{booktabs}
\usepackage{tabularx}
\usepackage{array}
\pagestyle{empty}
\setlength{\parindent}{0pt}
\setlength{\parskip}{0.45em}

\definecolor{accent}{HTML}{166534}
\newcommand{\syllabussec}[1]{\vspace{0.6em}{\large\bfseries\color{accent}#1}\par\vspace{-0.35em}{\color{accent}\rule{\linewidth}{0.6pt}}\par\vspace{0.2em}}

\begin{document}

\begin{center}
  {\LARGE\bfseries MATH 2318: Linear Algebra}\\[3pt]
  {\large Course Syllabus, Fall Semester}
\end{center}

\syllabussec{Course Information}
\begin{tabularx}{\linewidth}{@{}p{1.5in}X@{}}
\textbf{Instructor} & Prof.\ Maren Holt, [email protected] \\
\textbf{Office hours} & Tue and Thu 2:00 to 3:30 pm, Keller Hall 412, or by appointment \\
\textbf{Lectures} & Mon, Wed, Fri 10:00 to 10:50 am, Science Center 105 \\
\textbf{Textbook} & Lay, Lay, and McDonald, \emph{Linear Algebra and Its Applications}, 6th ed. \\
\textbf{Prerequisite} & MATH 1220 (Calculus II) with a grade of C or better \\
\end{tabularx}

\syllabussec{Weekly Schedule}
\begin{tabularx}{\linewidth}{@{}c p{2.5in} X@{}}
\toprule
\textbf{Week} & \textbf{Topic} & \textbf{Reading and milestones} \\
\midrule
1 & Systems of linear equations, row reduction & 1.1 to 1.2 \\
2 & Vector and matrix equations & 1.3 to 1.5, HW 1 due \\
3 & Linear independence, linear maps & 1.7 to 1.9 \\
4 & Matrix algebra and inverses & 2.1 to 2.3, HW 2 due \\
5 & Subspaces, basis, dimension & 2.8 to 2.9 \\
6 & Determinants & 3.1 to 3.3, \textbf{Midterm 1} \\
7 & Vector spaces & 4.1 to 4.3 \\
8 & Rank and change of basis & 4.5 to 4.7, HW 3 due \\
9 & Eigenvalues and eigenvectors & 5.1 to 5.2 \\
10 & Diagonalization & 5.3 to 5.4, \textbf{Midterm 2} \\
11 & Orthogonality, Gram-Schmidt & 6.1 to 6.4 \\
12 & Least squares & 6.5 to 6.6, HW 4 due \\
13 & Symmetric matrices, quadratic forms & 7.1 to 7.2 \\
14 & Singular value decomposition, review & 7.4, HW 5 due \\
\bottomrule
\end{tabularx}

\syllabussec{Grading Breakdown}
\begin{minipage}[t]{0.46\linewidth}
\begin{tabular}{@{}lr@{}}
\toprule
Homework (5 sets) & 25\% \\
Midterm 1 & 20\% \\
Midterm 2 & 20\% \\
Final exam & 30\% \\
Participation & 5\% \\
\bottomrule
\end{tabular}
\end{minipage}\hfill
\begin{minipage}[t]{0.48\linewidth}
\textbf{Letter grades.} A: 90 and above, B: 80 to 89, C: 70 to 79,
D: 60 to 69, F: below 60. The lowest homework score is dropped.
\end{minipage}

\syllabussec{Policies}
Late homework loses 10\% per day and is not accepted after solutions are
posted. Collaboration on homework is encouraged, but each student must write
up solutions independently and list collaborators. Exams are closed book.
Accommodations arranged through Student Access Services are fully supported;
please share your letter within the first two weeks.

\end{document}