The schedule for the course can be found via the link to webTimeEdit top of the page.
Perhaps the first thing to know is that this course will be taught in english.
If you are having trouble understanding the lectures please let Ellery Ames know.
April re-exam:
Studying for the April re-exam?:
- Exam and solutions from August 2015: 150828_solutions
- Exam and solutions from May 2015: 20150530_sol
- Sample exam and solutions: mve041_sample_sol
- The exam will follow the same guidelines as the previous two
- The exam is written in both english and swedish.
- You may write on your exam in either english or swedish.
- Cover and formula sheet for exam: formulas
- The exam consists of approximately seven passing questions and 3 mastery questions. To pass the exam you must pass the passing part with a score of at least 25 pts (including bonus). Grades 4 and 5 may be achieved by sufficient performance on the mastery section.
August Re-exam:
- Solutions to the 150828 Exam are here! 150828_solutions Best wishes for the new year!
- The exam will follow the same guidelines as the one in May.
- The exam is written in both english and swedish.
- You may write on your exam in either english or swedish.
- Cover and formula sheet for exam: formulas
- The exam consists of approximately seven passing questions and 3 mastery questions. To pass the exam you must pass the passing part with a score of at least 25 pts (including bonus). Grades 4 and 5 may be achieved by sufficient performance on the mastery section.
- Exam and solutions from May 2015: 20150530_sol
- Sample exam and solutions: mve041_sample_sol
Have a great summer!
Ellery is away until early August. If you have questions about the previous exam, or the upcoming August exam, I'll take them then.
Wrapup:
- The exam has been graded and scores should be available on LADOK soon.
- If you wish to contest your grade you may do so as soon as the grades are posted and up to the next exam, which is August 28.
- Exam Solutions: 20150530_sol
- MapleTA duggor scores posted on ping-pong.
- All
Matlab scores should be on ping-pong.
Week 8 Notes:
- Exam Info:
- The exam is 30 May 2015 at kl. 0830 in Väg och Vatten.
- The exam is written in both english and swedish.
- You may write on your exam in either english or swedish.
- Cover and formula sheet for exam: formulas
- Lycka till!
- Another full solutions posted below!
- Exam from 201504 posted below. The upcoming exam will not test your
knowledge of ode45 (question #2). For comparable problems which we
studied in this course see these notes HERE!
We also did not use change of variables to solve a PDE, so a problem
like #8 will not be on the exam.
- Solutions to sample exam: mve041_sample_sol
Week 7 Notes:
- Sample exam posted HERE!
Solutions presented next week. Try to first treat it as a normal
exam. That is sit down and attempt to solve the problems in one go.
The passing part looks long at first, but the problems should be
relatively simple. I did not need any special formulas to solve the
exam, but if there was something you used and did not find on the
cover sheet, let me know.
- Plan for week 8:
- Monday part II we finish applications of divergence theorem, and
in part II we prove the Green's theorem in the plane and the
divergence theorem. After the pause is mastery material only.
Computer lab session.
- Tuesday review sample exam in exercise session. Ellery attends study evening.
- Wednesday review based on topical learning goals posted below.
FINAL computer lab session.
- Friday exercise session review sample exam and "recent" exams.
Final class period, finish learning goal review and open
questions.
- OBS! the deadline pass all the Matlab labs is the final computer lab
session 10-1145 on Wednesday May 27. Check ping-pong to make sure all
your labs grades are posted!
- A consolidated version of the course learning goals by topic is
posted in the exam section! This makes a good study guide.
- Course learning goals for week 7 (overflow to week 8) are posted
below!
- Notes and problems on second order ODE and phase space HERE!
- Problems on conservative vector fields added to tomorrow's exercise session!
Week 6 Notes:
- OBS! MapleTA dugga 3 is up! Get an early start.
- OBS! MapleTA dugga 3 start time is postponed to kl. 1700, Wednesday May 13th.
- Passing/Mastery topics for week 5 and 6 are posted below.
- OBS!! Come finish lab #4 and #5! We have computer labs MT11 and MT12 booked today from kl. 13-15. Ellery will be there to help with labs and redovisning.
Week 5 Notes:
- The Wolfram demonstrations I showed in Friday's lecture, and others can be found at the links below. To run the demonstrations you need to download the free Wolfram "CDF Player" or use Mathematica.
- Coordinate unit vectors for spherical coordinates here.
- Vector fields in 2D here, and 3D here.
- Harmonic oscillator. The graph is the upper right corner the so-called phase portrait -- the integral curves of the vector field for the system of first order ODE.
- I will prepare more questions on reducing second order ODE to a system of first order ODE for exercise session next week.
- OBS!
Tip for # 11 on MapleTA dugga 2: This problem has an extra
step beyond those we've considered before. If you make the
obvious change of variables and compute the Jacobi determinant
you end up with an expression such as J(u,v) = x(u,v)^2 / u.
The task now is to write x^2 as a function of u and v. You
should be able to do this with your change of variables. Note
that the integrand is exp((x+y)^2) = exp(u^2), so we hope to
find that J(u,v) is proportional to u in order to complete the
integral!
- OBS! Question 3 on MapleTA dugga 2 is difficult. Make sure you try the other questions before spending all your time on question 3.
- OBS! The input for question 1 and question 3 is sensitive. Some
suggestions are as follows:
For #1 do not simplify your answer too much. Write the two terms you get from computing the Jacobian determinant as two terms in MapleTA. - For #3 write your answer as min,max without a space. Write sqrt(a) as a^(1/2). Many of parameters in this problem lead to solutions with funny square roots.
- In general, if you think you have the correct answer, but MapleTA won't accept it send me an email. Specify the question number and I can check your result.
- For the Friday exercise session we will spend half the time with problems on triple integration, and half the time answering questions including those on the dugga.
- Passing/Mastery topics for weeks 3 and 4 are below.
- A sample exam to be available in week 7.
OBS!
For MapleTA dugga 2. If you press "grade", your correct answers to
questions will be lost, and new versions of the questions will be
generated. If you don't want this to happen press "quit and save"
while you are working the problems and then only hit "grade" at the
end once you have full score.
The schedule for the exercise sessions tomorrow (30/4) and next week (v. 19) has been updated! Tomorrow we'll look at some integration questions from old exams.
The schedule for the exercise sessions tomorrow (30/4) and next week (v. 19) has been updated! Tomorrow we'll look at some integration questions from old exams.
- MapleTA dugga 2 will be available
starting tomorrow morning. It covers optimization and integration. Get
an early start!
24/4 Notes:
- Start/end times for MapleTA duggor 1, 2,
3 added in Assignment section.
- MapleTA input hint: use exp(1) or exp(-1) for e and 1/e respectively.
- MapleTA input hint: use exp(1) or exp(-1) for e and 1/e respectively.
19/4 Notes:
MapleTA dugga 1 will be available at 1202
pm tomorrow, and be up for a week!
A breakdown of material we've covered in the first two weeks of the course into passing and mastery parts is available in the Exam tab below.
A breakdown of material we've covered in the first two weeks of the course into passing and mastery parts is available in the Exam tab below.
IMPORTANT! REGARDING THE MVE041 RE-EXAM to be held 15 April, 2015.
The exam will have the same grading structure as last year. That is, the passing levels are at 20, 30, 40 points of 50 points total.
2/4 Notes
All Matlab
laboration credit from the first two labs is available on ping-pong!
OBS!! The schedules for the computer labs and exercise sessions after the break have been modified! Please check the updated schedule on TimeEdit! If you have questions or comments please send them to Ellery Ames or your student representatives.
Computer labs are now on Mondays and Wednesdays 1000-1145. Since these times are more or less equally favored there is no need to preregister! However, we may be forced to turn people away if the room fills to capacity. Come on time!
The duggor structure has been updated. See below.
Glad påsk!
OBS!! The schedules for the computer labs and exercise sessions after the break have been modified! Please check the updated schedule on TimeEdit! If you have questions or comments please send them to Ellery Ames or your student representatives.
Computer labs are now on Mondays and Wednesdays 1000-1145. Since these times are more or less equally favored there is no need to preregister! However, we may be forced to turn people away if the room fills to capacity. Come on time!
The duggor structure has been updated. See below.
Glad påsk!
31/3 Keywords for lecture tomorrow:
Chain rule, Gradient, Directional
Derivatives, implicit function theorem, Taylor's series, graph (of a
function), partial derivatives.
30/3 OBS! Your student representatives are now listed below! Let them know if you have comments on the course.
29/3 Notes
1. OBS!! No registration for
computer labs necessary this week.
Due to a problem with the ping-pong
registration, and the fact that computer labs this week are on Monday
and Wednesday, there is no need to register for a particular lab.
However, we will have to turn people away if the lab on a either day
fills to capacity. Get there early! We are working on moving all Friday
computer labs to Monday, although it is not clear yet if this is
possible.
2. Keywords for 30/3 lecture: Partial
derivative, linearization, approximation, mean value theorem,
differential, gradient, level curve, Jacobi matrix, tangent plane.
27/3 Lecture Keywords:
Some students asked if I could write some
keywords for the upcoming lecture, so that they can look them up ahead
of time. Here are some keywords which I will probably say and or write
in tomorrow's lecture --to be held back in HA2 at 1315!
Keywords: Limit, curve, domain, contains, continuous, partial derivative, normal line, normal vector, tangent plane.
OBS! Please do interrupt me in lecture if the english word I use is not familiar to you!
Keywords: Limit, curve, domain, contains, continuous, partial derivative, normal line, normal vector, tangent plane.
OBS! Please do interrupt me in lecture if the english word I use is not familiar to you!
25/3 Notes:
The material from sections 11.1, 11.3
and 12.1 has now been presented in class! You should be able to start
working on the problems from those sections. We will work more
examples from these sections in the exercise session tomorrow!
23/3 Notes:
Today's lecture covered topics from
sections 10.1, 10.5 and pg 588 of 10.4. I recommend reading those
sections, and in particular pg 569 on some basic concepts from
topology, which we did not have time to cover in class.
Old exams with the passing/mastery structure posted below!
In Wednesdays lecture we will cover topics in sections 12.1 (on representations of functions of several variables), and 11.1, 11.3, on vector-valued functions of a single variable.
OBS! The Wednesday lecture is in HC2!
Old exams with the passing/mastery structure posted below!
In Wednesdays lecture we will cover topics in sections 12.1 (on representations of functions of several variables), and 11.1, 11.3, on vector-valued functions of a single variable.
OBS! The Wednesday lecture is in HC2!