MA 262, Spring 2026: 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: 2:00pm–3:00pm, or by appointment.
Office: ET 314 (Purdue in Indianapolis)
Email: daniel84 followed by "at" and purdue dot edu
Chrisil Ouseph: TA for the 10:30am lecture class (Section 610)
Email: couseph followed by "at" and purdue dot edu
Shabaz Khan: TA for the 11:30am lecture class (Section 611)
Email: khan456 followed by "at" and purdue dot edu
Website: here
Lecture and recitation sections and times
Lectures:
M/W/F 10:30am–11:20am, room LE 105. (Section 610)
M/W/F 11:30am–12:20pm, room LE 105. (Section 611)
Recitations for students in the 10:30am lecture:
Thu 10:30am–11:20am, room SL 108. TA: Chrisil Ouseph (Section 612)
Thu 11:30am–12:20pm, room SL 108. TA: Chrisil Ouseph (Section 615)
Recitations for students in the 11:30am lecture:
Thu 1:30pm–2:20pm, room SL 108. TA: Shahbaz Khan (Section 614)
Thu 2:30pm–3:20pm, room SL 108. TA: Shahbaz Khan (Section 613)
Course docs and other info and pages
Syllabus
University course page
Past Exam Archive for MA-262
Exam 1
Date/Time: Thursday, Feb. 19, 8:00pm–9:00pm
Location: LE 100
Covers lessons [L1]–[L14]; 11 multiple choice questions (9 pts each) plus 1 free point.
Exam 1 review questions
– Review solutions
Notes and Extras
NOTE: A full set of course notes from my last semester are available here.
Ch. 1: Basics; 1st-order ODEs
[L1] Intro to diff eq: Notes (class), Notes (html)
[L2-3 (1)] Slope fields and solutions: Notes (class), Notes (html)
[L2-3 (2)] More on solutions: Notes (class), Notes (html)
– (Extra) Handling unknown constants: Notes
[L4] Separable eqs: Notes (class), Notes (html)
– Solutions vocab chart: Notes
[L5] 1st-order linear eqs (part 1): Notes (class), Notes (html)
[L6] 1st-order linear eqs (part 2): Notes (class), Notes (html)
[L7] Substitution Methods: Notes (class), Notes (html)
[L8] Exact eqs, Reducible eqs: Notes (class), Notes (html)
Ch. 2: Populations; Stability
[L9] Population models: Notes (class), Notes (html),
Extra: Working out two full examples (from HW 9): Video [the pages are in the notes]
[L10] Stability and equilibrium: Notes (class), Notes (html)
[L11] Euler's method: Notes (class), Notes (html)
– Geogebra app: link
Ch. 3: Systems of linear eqs; Matrices
(Extra) Summary of (reduced) echelon form: Notes
[L12] Review of linear systems: Notes
[L13] Matrices and elimination: Notes
[L14] Reduced echelon form: Notes
[L15] Matrix Operations: Notes
– What are row operations? Notes
[L16] Inverses: Notes
– How to compute inverses: Notes
– Solving systems using inverses: Notes
– Matrix equations: Notes
[L17(1)] Determinants: Notes
– Solving systems with Cramer's Rule: Notes
[L17(2)] Determinants (cont.): Notes
[★] Vocab & concept summary/list: Notes (version 3/4/2026)
Ch. 4: Vector Spaces and Subspaces
[L18] Intro to vector spaces: Notes
– 3Blue1Brown: Span and Independence
Independence and subspace definitions: Notes
More on subspaces (video+notes): Notes, Video
Bases and null space: Notes
Dimension: Notes
Row/Column space and rank: Notes
[★] Vocab & concept summary/list: Notes (Version 03/09/2026)
Course Calendar
Colors:
■ - Lessons
■ - HW & Quizzes
■ - Exams
Notes:
Lessons are listed as
[L〈#〉] 〈book section #〉 〈topic(s)〉,
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., [L1-14].