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week 1
MTH-264 Week 1 (January 5-11)
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winter 2025 >
mth264 >
week 1 >
outline
Outline
1.1 Modeling via Differential Equations
- recommended:
3,
4,
5,
6,
7,
8,
12,
14,
16,
17,
18,
21,
22
- what is a ...
- ... differential equation?
- ... first-order system?
- ... initial value problem?
- ... solution?
- analytic, qualitative and numerical methods
- analytic - brute force solution, an explicit formula for the unknown function
- qualitative - describing the behavior of solutions even without an explicit formula
- numerical - approximating solutions to give insight into their behavior
1.2 Analytic Technique: Separation of Variables
- recommended:
1,
12,
13,
15,
20,
21,
30,
32,
34,
35, 36,
38,
39,
40, 41
- general and particular solutions
- explicit and implicit solutions
- verifying solutions
- manipulating constants and parameters
- domain and range of solutions
semesters >
winter 2025 >
mth264 >
week 1 >
assessments
Assessments
- Deadlines and File Submission
- Submit your assessment as a single PDF file to the Assessment Folder
inside your assigned Google Drive folder by 11:59pm on the date indicated.
- No late assessments are accepted. If you have a conflict with a deadline,
contact me before the deadline.
- Solutions are posted under these links after the deadline.
- Homework
- Exams
- Wednesday, February 19: Exam 1
- Exam 1
(preview)
(solutions)
- Exam 1 covers sections 1.1-1.9, 2.1-2.3
- A preview will be released by 10:59pm on Wednesday, February 12
and Exam 1 will be written in class from 7:00pm-9:00pm on
Wednesday, February 19.
semesters >
winter 2025 >
mth264 >
week 1 >
handouts
Handouts
- Announcements
- Textbook Excerpts
- Technology Tips
- Separable Equations
- Modeling
semesters >
winter 2025 >
mth264 >
week 1 >
videos
Videos
- First Principles
- Mixing Problems
semesters >
winter 2025 >
mth264 >
week 1 >
technology
Technology
- Communication
- GeoGebra
- Desmos
- Mathematica