semesters >
winter 2024 >
mth264 >
week 14
MTH-264 Week 14 (April 7-13)
semesters >
winter 2024 >
mth264 >
week 14 >
outline
Outline
6.3 Second-Order Equations
- recommended:
7, 11, 15, 16, 18, 23, 26, 27, 28, 29, 30, 30 alt, 31, 32, 34
- basic constant "juggling"
- concentration on the shifting theorems
- the first shifting theorem
- If L[ f(t) ] = F(s), then L[ eatf(t) ] = F(s-a)
- "wrapping a function in an exponential envelope results in shifting its transform"
- the second shifting theorem
- If L[ f(t) ] = F(s), then L[ ua(t) f(t-a) ] = e-asF(s)
- "wrapping a transform in an exponential envelope is the result of a 'shift and delay' of the original function"
- advanced constant "juggling"
- the transform of higher-order derivatives
- manipulating sines and cosines
- discontinuous forcing functions
6.4 Delta Functions and Impulse Forcing
- recommended:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- the dirac function
- a basic example
- periodic impulse forcing
- the effect on graphs of solutions
semesters >
winter 2024 >
mth264 >
week 14 >
assessments
Assessments
- Deadlines and File Submission
- All assessments are due by 11:59pm on the date indicated
- Assessments are submitted online to our
MTH-264 Assignments
folder.
- No late assessments are accepted.
- Homework
- due Thursday, April 11:
Appendix B - ,
6.1 -
- due Thursday, April 18:
6.2 - ,
6.3 - ,
6.4 -
- due Tuesday, April 23:
6.4 - ,
6.5 -
- Exams
- due Thursday, April 25: Exam 3
- Exam 3
(solutions)
- Exam 3 covers sections 3.6, 4.1-4.4, appendix B, and 6.1-6.5
- Exam 3 will be released by 11:59pm on Tuesday, April 23 and will
be written in class on Thursday, April 25.
semesters >
winter 2024 >
mth264 >
week 14 >
handouts
Handouts
- Announcements
- Technology Tips
- Series Solutions
- Laplace Transforms
semesters >
winter 2024 >
mth264 >
week 14 >
videos
Videos
semesters >
winter 2024 >
mth264 >
week 14 >
technology
Technology
- Communication
- Excel
- Mathematica