MA 262, Fall 2025: Differential Equations and Linear Algebra
This is a page to keep copies of some course documents and share some useful links.
Contacts and Office Hours
Dr. Taylor Daniels: Course instructor
Office Hours: M/W/F 12:30pm–1:30pm, or by appointment.
Office: ET 314 (Purdue in Indianapolis)
Email: daniel84 , followed by "at" and purdue dot edu
Shabaz Khan: TA for the 11:30am lecture class (Section 990)
Website
Email: khan456, followed by "at" and purdue dot edu
Chrisil Ouseph: TA for the 2:30pm lecture class (Section 880)
Email: couseph, followed by "at" and purdue dot edu
Lecture and recitation sections and times
Lectures:
M/W/F 11:30am–12:20pm, in room ET 202. (Section 990)
M/W/F 2:30pm–3:20pm, in room ET 202. (Section 880)
Recitations for students in the 11:30am lecture:
Thu 10:30am–11:20am, room ET 329. TA: Shabaz Khan (Section 992)
Thu 11:30am–12:20pm, room ET 329. TA: Shabaz Khan (Section 991)
Recitations for students in the 2:30pm lecture:
Thu 12:30pm–1:20pm, in room ET 308. TA: Chrisil Ouseph (Section 881)
Thu 1:30pm–2:20pm, room ET 308. TA: Chrisil Ouseph (Section 882)
Course docs and other pages
Course-wide syllabus
Past Exam Archive for MA-262
Exam 1 review questions
– Review solutions
Exam 1 Answer Keys
Exam 2
Date/Time: Tuesday, Nov. 11, 6:30pm-7:30pm
Location: LE 100
Covers lessons [L15]–[L26]; 11 multiple choice questions (9 pts each) plus 1 free point.
Exam 2 review questions
– Review solutions
Review session 11/11: Video Notes
Piazza Forum
Notes and Extras
Ch. 1: Basics; 1st-order ODEs
[L1] Intro
[L2] General Solutions
– Handling unknown constants
[L3] Slope Fields
[L4] Separable Eqs
– Note on implicit solutions
– Solutions vocab chart
[L5] 1st-order Linear ODEs
[L6] Mixture Problems
– Mathematica notebook: here
[L7] Substitution
– Extra notes on substitutions
[L8] Exact Eqs and Reduction
Ch. 2: Populations; Stability
[L9] Population Models
[L10] Stability and equilibrium
[L11] Euler's Method
Ch. 3: Systems of linear eqs; Matrices
[L12] Review of linear systems
[L13] Matrices and Elimination
[L14] Reduced Echelon Form
[L15] Matrix Operations
– (Note: pay special attention to the last section, "vector equations").
– What are row operations?
[L16] Inverses
– Matrix Eqs
[L17-1] Determinants (pt 1)
[L17-2] Determinants (pt 2)
Ch. 4: Vectors, Vector Spaces, and Subspaces
Outline for Ch.4
Vocab summary for linear in/dependence
[L18] Span and Independence in R^2 and R^3
– 3Blue1Brown: Span and Independence ; Matrices acting on R^2
[L19] Subspace examples for R^n
[L20-21] Linear independence and bases
– Determinant and Independence
[L22] Row and Column Space
Ch. 5: 2nd-order linear ODEs
[L23] 2nd order linear ODEs
[L24] General sols to linear ODEs
[L25] Homog. eqs with const. coeffs. (part 1)
[L26] Homog. eqs with const. coeffs. (part 2)
– Complex numbers basics
– Repeated complex roots: Notes Video
[L27] Mechanical vibrations: Notes Video
[L28(1)] Undetermined coeffs (part 1): Notes Video
[L28(2)] Undetermined coeffs (part 2): Notes Video
[L29] Variation of parameters: (notes and video to be added)
Clarifying the Wronksian: Notes
Ch. 6+7: Eigenvectors and systems of ODEs
[L30] Eigenvectors: Notes 3Blue1Brown video
(Extra) Least Squares
IPython notebook
Course Calendar
Colors:
■ - Lessons
■ - HW & Quizzes
■ - Exams
Notes:
Lessons are listed as
[L〈#〉] Sec. 〈#〉, 〈Topics〉,
and HW #'s indicate the material's corresponding lesson number. Some lessons have parts (1) and (2), but there is still only one homework associated to the lesson. Some book sections/topics are spread over more than one lesson.
Quiz topics are shown using
[Q: 〈#〉],
where 〈#〉 lists the lesson/homework numbers covered by the quiz.
Exams list the lessons covered, e.g., [L:1-14].