Math 220: Matrices
Fall Semester 2017
Sections 08, 13, 16

Instructor
Mihran Papikian
Office: McAllister Building, Room 318C
Email: papikian@psu.edu

Course Description
Many problems we have to solve in day-to-day business, engineering, and science practice require the simultaneous study of several different but interrelated factors. Although problems of this form have been studied throughout the long history of mathematics, only in the early 20th century did the systematic approach we now refer to as linear algebra based on matrices emerge. Matrices and linear algebra are now recognized as the fundamental tool for foundational methods in statistics, optimization, quantum mechanics, and many other fields, and are an essential component of most subfields of mathematics. Linear algebra provides students their first introduction to the concept of dimension in an abstract setting where things with 4, 5, or even more dimensions are often encountered.
MATH 220 is a 2 credit course that teaches the core concepts of matrix arithmetic and linear algebra. It is a required course for many students majoring in engineering, science, or secondary education. In past coursework, students should have gained practice solving pairs of equations like 3x + 4y = 10, x - y = 1. This is a system of two linear equations with two unknowns and as a unique solution students can find by isolating and substituting. In linear algebra, this system is represented as Ax = b, where x is a vector of unknowns, A is a matrix, and b is a vector of constants. Linear algebra is the field of mathematics that grew out of a need to solve systems like these and related problems with many unknown variables.
Topics covered in MATH 220 include matrix algebra, vectors, linear transformations, solution to systems of linear equations, determinants, matrix inverses, concepts of rank and dimension, eigenvalues, eigenvectors, and others as time permits. Course prerequisites can be filled by one semester of calculus. Students may take MATH 220 concurrently with MATH 141, MATH 230, or MATH 250. Students seeking a linear algebra course without a calculus prerequisite may consider MATH 018 as an alternative. After completing MATH 220, students can enroll in MATH 441 or MATH 484. MATH 441 provides more in-depth perspective on linear algebra. MATH 484 studies widely used applications of linear algebra to optimization problems.

Lecture Schedule
Section 013: Tuesday and Thursday, 8:00AM - 8:50AM, 165 Willard
Section 016: Tuesday and Thursday, 9:05AM - 9:55AM, 267 Willard
Section 008: Tuesday and Thursday, 12:20PM - 1:10PM, 112 Walker
Classroom attendance is extremely important. Missing class will hinder you mastering the material and doing well in this course. If a student misses class, it is the student's responsibility to get the notes from another student.

Office Hours
Tuesday 11:00AM - 12:00PM
Wednesday 3:00PM - 4:00PM

Textbook
David Lay, Linear Algebra and its Applications (5th edition), Pearson.

Suggested Homework Exercises
Homeworks will be assigned from the textbook but will not be graded:
  • Section 1.1: 1-27 odd
  • Section 1.2: 1-21 odd
  • Section 1.3: 1-25 odd
  • Section 1.4: 1-25 odd
  • Section 1.5: 1-31 odd
  • Section 1.7: 1-39 odd
  • Section 1.8: 1-21 odd
  • Section 1.9: 1-31 odd
  • Section 2.1: 1-25 odd
  • Section 2.2: 1-35 odd
  • Section 2.3: 1-39 odd
  • Section 2.8: 1-35 odd
  • Section 2.9: 1-25 odd
  • Section 3.1: 1-39 odd

Quizzes
In my sections of MATH 220, short quizzes will be given throughout the semester, essentially every week. The questions on the quizzes will be related to the homework problems and the material discussed during previous lecture hours. The quizzes will be announced in advance - these will not be "pop quizzes". All quizzes will have equal weight.
No makeup quizzes will be offered in the class; in lieu of this, I will keep your highest eight (8) quiz grades and drop the remaining quizzes.
  • Quiz 1 (August 29; Section 1.1) Solution
  • Quiz 2 (September 5; Section 1.2) Solution
  • Quiz 3 (September 12; Section 1.3 and 1.4) Solution
  • Quiz 4 (September 21; Section 1.5 and 1.7) Solution
  • Quiz 5 (September 28; Section 1.8 and 1.9) Solution
  • Quiz 6 (October 5; Section 2.1 and 2.2) Solution
  • Quiz 7 (October 19; Section 2.3 and 2.8) Solution
  • Quiz 8 (October 26; Section 2.9 and 3.1)