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Organizational
Any questions?
Sep 16, 2014
Online quiz
Online quiz
Arc length
L
a
b
Arc length
Find the length of the curve < t2 / 2 , t3 / 3 , 1/4 > from t=0 to t=a
Arc length
Find the length of the curve < t2 / 2 , t3 / 3 , 1/4 > from t=0 to t=a
Audio!
Organizational
Oct 21, 2014
Post mortem on in-class (5 minute handwritten) evaluations after quiz
October break:
There is no class on Thursday Oct 23 this week
There is no quiz for Thursday Oct 23
There is no problem set due this Friday Oct 24
Audio!
Organizational
Oct 2, 2014
Problem set 5 is due tomorrow as usual
Midterm 1 is on Tuesday Oct 7 at 8pm right here in Dunham 220
Midterm review session: Sunday Oct 5th 4pm-6pm (room TBD)
Study hall canceled next Tuesday
Midterm 1 covers material of
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Organizational
Nov 4, 2014
Midterm 2 is next Tue night (Nov 11 8pm here)
It covers primarily 13.6 (directional derivatives) though 14.5 (triple integrals)
inclusive.
It is not meant to be cumulative.
But of course you do need the prior concepts to
Audio!
Organizational
Oct 14, 2014
Midterms graded, recorded, and returned (pick them up now!)
Next few pages:
Midterm data
Formula sheet contest winners
Quiz
Lecture
Questions?
Midterm 1 statistics
n
mean
std
median
max
min
42
71.2
14.2
73.5
93.0
33.0
17
Audio!
Organizational
Problem set 7 due Friday 3pm as usual
After quiz:
First 5 minutes of class are for you to give an evaluation
of class
Questions?
Oct 16, 2014
Quiz
Quiz
Paper evaluation: 5 minutes
This is anonymous
Please tell us how the class is goi
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Organizational
Nov 6, 2014
Problem set 9 due on Friday (tomorrow) as usual
Midterm 2 is next Tue night (Nov 11 8pm)
It covers primarily 13.6 (directional derivatives) though 14.5 (triple integrals)
inclusive.
Sunday 4pm-6pm Nov 9 Dunham 220 : revie
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Organizational
Problem set 6 due on Friday by 3pm (as usual)
Midterm is still being graded. ETA is next Tuesday.
Questions?
Oct 9, 2014
Quiz
Quiz
Last time
Gradient and level curves
Tangent lines and tangent planes
Maxima, minima, extrema, criti
APPM 1345/1350
Final Exam Solutions
Spring 2013
1. (8 points) Match the following functions to their graphs below. No explanation is necessary.
(b) y = 2|x|
(a) y = ln(x + 1)
(c) y = tan1 x
(d) y = sinh(x).
=
1
1
2u1/2 + C =
8
4
1 4x2 + C
(b) First simpl
APPM 1345
Exam 2 Solutions
Spring 2013
4
v(t) dt = 32. Then
(d) From part (b) we know that
0
1. (22 points) The velocity function (in meters/second) for a particle moving
along a line is v(t) = 8 t3 . For the interval 0 t 4, evaluate the
following:
vave =
APPM 1345
Exam 1 Solutions
Intervals
x<6
Spring 2013
1. (25 points) Consider the function y = x 6 x.
(a) Find the domain of the function.
y
y
concave down on (, 6)
The function is concave down throughout the domain.
(f) There are no inection points .
(g)
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Problem set 8 due Friday 3pm as usual
Questions?
Oct 30, 2014
Online videos (media gallery)
So far I have uploaded 11 videos of problems being solved by talking through
on classesv2
(For various reasons, I have not been able to do it
Audio!
Organizational
Oct 28, 2014
Added office hours : Tuesdays 7:30pm-8:00pm Becton 307 starting tonight
Questions?
Quiz
Last time
Eval post mortem
Surfaces of revolution
Principal unit normal
3D integrals in xyz
Volume and averaging interpretation
Audio!
Organizational 1
Problem set 2 is due Friday (tomorrow) 3pm
Questions?
Jan 28, 2014
Online quiz
Online quiz
Last time
Equations for planes, parallel planes
Projection onto planes
Distances form points/lines to planes
Quadric surfaces and conic sect
Audio!
Organizational
No lecture on Tuesday September 30th (and no quiz)
See you next on Thursday October 2nd
Questions?
Sept 25, 2014
Quiz
Quiz
Last time
Partial derivatives
Differentiability
Differentials
Linear approximation and its errors
Chain r
Aug 28, 2014
ENAS 151 - Multivariable Calculus for Engineers
Tue/Thu 1:00-2:15 DL 220
Instructor: Sohrab Ismail-Beigi
Final exam (Group 26) December 14th Sunday 2:00pm
Meets during reading period
Makeup lectures: 8:00pm-9:15pm on Sep 23 and Nov 18
Midterm
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Organizational
Sep 23, 2014
Thanks for coming late tonight
This is the makeup lecture for next week
when there is no lecture or quiz on Tuesday Sept 30th
Any questions?
Online quiz
No quiz!
Last time
Chapter 12
Finished Keplers laws and one deriv
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Organizational
Sep 4, 2014
Classesv2 syllabus updated with TFs, study halls, office hours
Your TFs are
Mehmet Dogan
Eric Kittlaus
Linshu Li
Im creating a library of online videos where problems are solved with commentary
(see Media Gallery under cl
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Organizational
Sep 18 2014
Problem set 3 is due Friday by 3pm (as usual)
Looking ahead
Tuesday Sept 23 8pm-9pm: makeup lecture
Tuesday Oct 7th 8:00pm-9:15pm : midterm 1
Any questions or concerns?
Online quiz
Online quiz
Last time
Vector valued fu
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Organizational
Sept 2, 2014
PROBLEM SET 1 IS POSTED ON PIAZZA ; DUE FRIDAY
TFs are almost finalized
1st office hour : tomorrow night (Wed Sept 3) 8pm Becton 307
Study halls start this Wednesday!
Mason 107 : Tue 8pm-10pm , Wed 9pm-11pm
I will post a
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Organizational
Sept 23, 2014
Extra makeup lecture tonight at 8pm-9pm here (Dunham 220)
Study hall is ON tonight but starts late at 9pm
Next week:
No lecture or quiz for Tuesday Sept 30th
No office hours Wednesday Oct 1st
Online quiz
Online quiz
Las
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Organizational
Depending on enrollment, we may go from 3 to 2 TFs.
Stay posted.
Questions?
Sep 9, 2014
Online quiz
z2 - 2x2 - 2y2 =1000
Online quiz
Last time
Projections onto vectors
Force and work
Cross product: geometric definition and components
Audio!
Organizational
Oct 7, 2014
Midterm is tonight 8pm here (Dunham 220)
Midterm rules:
You can bring pens, pencils, crayons, reeds, other mechanical writing tools
One single 8.5 x 11 sheet of paper with whatever you want on it
(you dont need to check
APPM 1345
Exam 3 Solutions
Spring 2013
(b) Solution 1: Use logarithmic differentiation.
y=x
x
ln y = ln x x
ln y = x ln x
1. (12 points) Match the graphs shown to the following functions.
No explanation is necessary.
(a) y = ex
(d) y = 4x
(b) y = ex
(e) y