Contacts and Office Hours

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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

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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

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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

Final Exam

Date/Time: Thursday, Dec. 18, 8:00am-10:00am
Location: TBA
Covers all lessons (except [L11] Euler's method); 20 multiple choice questions (10 pts each)
Final exam review questions
  – Review solutions
(Mon) Zoom session: Notes
(Wed) Review sessions: Video1; Video2; Notes
(Fri) Review sessions: Video1; Video2; Notes;

Piazza Forum

Some Graphing Tools

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Desmos Basics
Slope Field Plotter

Notes and Extras

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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: Video; Notes
[L27] Mechanical vibrations: Video; Notes
[L28(1)] Undetermined coeffs (part 1): Video; Notes
[L28(2)] Undetermined coeffs (part 2): Video; Notes

[L29] Variation of parameters: Video; Notes

Clarifying the Wronksian: Notes

Ch. 6+7: Eigenvectors and systems of ODEs

[L30] Eigenvectors: Notes 3Blue1Brown video

[∗] Vector ODEs and their solution curves: Video; Notes
  [The notes contain two extra pages than what appears in the video]
[L31-32] Systems of 1st order eqs: Video; Notes
[L33] The "eigenvalue method" for vector diff. eqs.: Video; Notes
[L34(1)] Repeated eigenvalues (part 1): Notes
[L34(2)] Repeated eigenvalues (part 2): Notes
  – Example with defect 2: Notes
[L35] Gallery of Solutions (1): Notes
[L36] Gallery of Solutions (2) (Complex eigenvalues):
  – For this, please read about "centers" on book pp. 410-1, and about "spiral sources/sinks" on pp. 414-5.
  – "Phase plane" plotter app: Link

(Extra) Least Squares

IPython notebook

Course Calendar

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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].