Update page--Calculus III -Fall 2024

CALCULUS III UPDATE PAGE

Welcome! On this page you will see updates on what we did in class, what is coming up, solutions to tests, etc., Keep checking!

COURSE PAGE WITH SYLLABUS, GRADING SCHEME, ETC.,

SCROLL DOWN BELOW TO SEE SOLUTIONS OF TESTS AND QUIZZES FROM THIS COURSE

Exams from Spring 2011

SYLLABUS

Will try to stick to this syllabus as much as possible.

OLD FINAL EXAMS

Tutoring Schedule

TESTS AND QUIZZES FROM SPRING 2011

Recommended that you enrol in webassign course by first using code you got from book purchase to register at cengage.com and then use the code "howard 1929 1378" to register in course. It gives you access to e-book, practice problems, tutorials, etc.,

SCROLL DOWN BELOW TO SEE SOLUTIONS OF TESTS AND QUIZZES FROM THIS COURSE

THURSDAY CLASSES AND OFFICE HOURS ON ZOOM.

12/16/24 Monday

Happy holidays!!
Grades have been posted on bisonweb.

Final exam Solutions
Final exam Problems

Final exam will be tuesday dec 3 from 3.30 to 5.30. LKH 118.
REVIEW MONDAY ON ZOOM AT 2PM.
Please study class notes, test and quiz solutions, as well as exams from Spring 11.
Spring 24 final exam
Spring 2011 Final exam

If you have more than 540 points total from all the quizzes and tests you will be excused from final exam.

Note that the percentage grade in canvas is misleading.
One of the quizzes is marked as out of 0 (I couldn't change it), and also it doesn't drop any quizzes.
I will update the grade sheet after quiz 11.

11/25/24 Monday
Today we reviewed spherical and cylindrical coordinates and integration.
We also had Quiz 11 in form of polls. It is all in notes below.
Notes from today -includes poll answers (Reload!)

11/22/24 Friday
CLASSES WILL BE ON ZOOM UNTIL THANKSGIVING.
QUIZ 11 ON MONDAY.

It will be your last chance to improve grade before final exam.

Today we did spherical coordinates and integration.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 15.8 problems :
5, 7, 9, 11, 13, 15, 25, 27, 31.

11/21/24 thursday
Today we did cyclindrical coordinates and integration.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 15.7 problems :
5, 7, 9, 11, 13, 21, 23, 25.

11/20/24 Wednesday
Test will be graded by end of the week.

Test 3 Solutions
test 3 Problems

Test 3 on Nov 20, review monday 11-18.

It will cover chapters 15 (upto section 6) and all of chapter 16.
Please use this study-guide . TRY PROBLEMS BEFORE LOOKING AT SOLUTION!
Please also study class notes, practice problems, quiz solutions as well as exams from Spring 11.
IF YOU HAVE ACCESS TO WEBASSIGN, YOU CAN DO THE PRACTICE TEST AS AN ASSIGNMENT THERE, AND MAKE USE OF ADDITIONAL FEATURES.

11/15/24 Friday
Today we finished curl and divergence of vector fields and surface integrals.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems:
16.8: 1, 7, 9, 17, 21.
16.9: 1, 7, 11, 13.

11/14/24 Thursday
Today we talked about curl and divergence of vector fields and surface integrals.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems:
16.5: 3, 7, 15, 19.
16.6: 3, 5, 19, 21, 33, 35, 39, 43.
16.7: 5, 9, 13, 15.

11/13/24 Wednesday
Thursday (tomorrow) we will start 16.5.
Quiz 10 Solutions
Quiz 10 Problems

11/8/24 Friday
Quiz 10 wed, Nov 13, on 16.1, 16.2, 16.3, 16.4.
If you need help studying please email me.

Today we talked about conservative vector fields and Green's theorem.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems:
16.3: 3, 9, 15, 25, 29.
16.4: 3, 11, 13, 21, 23, 26, 27.

11/7/24 Thursday
Today we talked about vector fields and line integrals over curves.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 16.1 problems :
16.1: 25, 27, 29, 37.
16.2 problems :
16.2: 1, 3, 5, 9, 11, 21, 23, 35, 41.

11/4/24 Monday
WEDNESDAY MEET ONLINE PER UNIVERSITY ORDER.

Instead of usual quiz, we will have poll questions for 40 points.
Please study notes and practice problems from 15.4, 15.5 and 15.6 (see below).
Today we did volume and center of mass using triple integration.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 15.6 problems :
7, 9, 13, 21, 23, 25, 26, 43 (last 3 in notes).

11/1/24 Friday
MONDAY MEET ONLINE PER UNIVERSITY ORDER.

Today we did surface area using multiple integration.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 15.5 problems :
3, 5, 7, 11, 13, 15.

10/31/24 Thursday
Today we did applications of multiple integration.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 15.4 problems :
1, 5, 7, 11, 13.

10/31/24 Thursday
Thursday (today) we will start 15.4.
Quiz 8 Solutions
Quiz 8 Problems

10/28/24 Monday
QUIZ 8 ON WEDNESDAY WILL COVER 14.8, 15.1, 15.2, 15.3.

Today we did multiple integration using polar coordinates.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 15.3 problems :
3, 5, 11, 17, 23, 29, 35.

Please also try 3, 5, 7, 11 from 14.8.

Try as many as you can but at least the ones above.

10/25/24 Friday
Today we did multiple integration on general regions.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 15.2 problems :
3, 11, 13, 21, 27, 35, 39, 45, 49, 57, 59.

Please also try 3, 5, 7, 11 from 14.8.

Try as many as you can but at least the ones above.

10/24/24 Thursday
Today we started multiple integration.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems
Practice problems: 15.1 problems :
3, 9, 12, 15, 17, 27, 31, 37, 43, 45, 47, 53.
Try as many as you can but at least the ones above.

10/23/24 Wednesday
Test will be graded by end of the week.

Test 2 Solutions
test 2 Problems

Test II will be on wednesday Oct 23. It will cover 13.4 and chapter 14 sections 1 to 7.
Please use this study-guide .
Please also study class notes, practice problems, quiz solutions as well as exams from Spring 11.
IF YOU HAVE ACCESS TO WEBASSIGN, YOU CAN DO THE PRACTICE TEST AS AN ASSIGNMENT THERE, AND MAKE USE OF ADDITIONAL FEATURES.
For example you can do the questions marked "Tutorial exercise".

10/21/24 Monday
PLEASE REVIEW THESE ALSO FOR TEST 2 ON WEDNESDAY.

Review of gradient and directional derivative
Review of problem 46 from study guide.

10/18/24 Friday
MONDAY WE WILL DO REVIEW FOR TEST 2.

Today we finished talking about maxima minima of functions of 2 variables, including method of Lagrange multipliers.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Review of quiz 7. (Solutions below).
Practice problems: Do the ones from 14.7 in practice test above (look next to the question number).

10/17/24 Thursday
FRIDAY CLASS ON ZOOM TOMORROW ALSO.

Today we talked about maxima minima of functions of 2 variables.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: Do the ones from 14.7 in practice test above (look next to the question number).

10/16/24 Wednesday
Thursday we will start 14.7.
Quiz 7 Solutions
Quiz 7 Problems

10/11/24 Friday
QUIZ 7 WED ON 14.4, 14.5, 14.6.

Today we talked about directional derivatives and the gradient vector.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 14.6 problems :
3, 11, 23, 27, 37, 51, 55.
Try as many as you can but at least the ones above.

10/10/24 Thursday
NOTE: THIS WEEK ONLY -- FRIDAY CLASS ALSO ON ZOOM.

Today we talked about chain rule for partial derivatives and implicit differentiation.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 14.5 problems :
5, 13, 17, 27, 35, 39, 43, 47.
Try as many as you can but at least the ones above.

10/9/24 Wednesday
NOTE: THIS WEEK ONLY -- FRIDAY CLASS ALSO ON ZOOM.

Today we talked about linear approximation of functions using partial derivatives.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 14.4 problems :
1, 3, 7, 17, 21, 29, 33, 39, 41, 43, 45.
Try as many as you can but at least the ones above.

10/7/24 Monday
Wednesday we will start 14.4.
Quiz 6 Solutions
Quiz 6 Problems

10/4/24 Friday
QUIZ MONDAY ON 14.2 and 14.3.

Today we talked about partial derivatives.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
We also watched this Video on Heat Equation.
Practice problems: 14.2 problems :
11, 13, 17 (use limit of sinx/x as x -> 0), 21, 23 (look along parabola x = y^2), 25 (multiply by conjugates), 31, 33, 43, 45.
14.3 problems: 3, 9, 13, 25, 37, 51, 55, 77a.
Try as many as you can but at least the ones above.

10/3/24 Thursday
QUIZ MONDAY ON 14.2 and 14.3.

Today we did some problems on limits and continuity functions of 3 variables.
Please read notes and THEN try practice problems.
Notes from today -includes worked out problems (Reload!)
Practice problems: 14.2 problems :
11, 13, 17 (use limit of sinx/x as x -> 0), 21, 23 (look along parabola x = y^2), 25 (multiply by conjugates), 31, 33, 43, 45.
Try as many as you can but at least the ones above.

10/2/24 Wednesday
Today we talked about limits and continuity functions of 3 variables.
Please read notes and THEN try practice problems.
Notes from today (Reload!)
Practice problems: 14.2 problems :
11, 13, 17 (use limit of sinx/x as x -> 0), 21, 23 (look along parabola x = y^2), 25 (multiply by conjugates), 31, 33, 43, 45.
Try as many as you can but at least the ones above.

9/30/24 Monday
Wednesday we will start 14.2.
Quiz 5 Solutions
Quiz 5 Problems

9/27/24 Friday
QUIZ 5 WILL BE MONDAY SEP 30, on 13.4 and 14.1.
Today we talked about functions of 3 variables and their graphs.
Please read notes and THEN try practice problems.
Notes from today (Reload!)
Practice problems: 14.1 problems :3, 7, 11, 25, 29, 45.
Try as many as you can but at least the ones above.

9/26/24 Thursday
QUIZ 5 WILL BE MONDAY SEP 30, on 13.4 and 14.1.
Today we talked about velocity, acceleration etc of an object moving along a space curve.
We also watched a video on how Kepler's 2nd law can be derived using vector functions.
In the book they derive the first law and give hints for the other two.

Please read notes and THEN try practice problems.
Notes from today (Reload!)
Practice problems: 13.4 problems :11, 13, 15, 17, 20, 23, 27, 31, 39, 45.
Try as many as you can but at least the ones above.

9/23/24 Monday
Just posted tutoring schedule, above.
Test will be graded by end of the week.

Test 1 Solutions
test 1 Problems

Test I will be on monday Sep 23. It will cover all of chapter 12 and 13.1, 13.2, 13.3
Please use this study-guide .
Please also study class notes, practice problems, quiz solutions as well as exams from Spring 11.
IF YOU HAVE ACCESS TO WEBASSIGN, YOU CAN DO THE PRACTICE TEST AS AN ASSIGNMENT THERE, AND MAKE USE OF ADDITIONAL FEATURES.

9/19/2024 THURSDAY
TOMORROW WE WILL DO A REVIEW FOR TEST 1.
Today we talked about arc length, curvature, tangent and normal vector of space curves.
Please read notes and THEN try practice problems.
Notes from today (Reload!)
Practice problems: 13.3 problems : 3,5,15, 19,21,25,35.
Try as many as you can but at least the ones above.

9/18/2024 WEDNESDAY
Today we talked about derivatives and integrals of vector functions.
Please read notes and THEN try practice problems.
Notes from today (Reload!)
Practice problems: 13.2 problems 11, 13, 21, 23, 27,35, 39, 43, 55.
Try as many as you can but at least the ones above.

9/16/2024 MONDAY
Today we talked about vector functions.
Please read notes and THEN try practice problems.
Notes from today
Practice problems: 13.1 problems 3, 5, 7, 11, 13, 21, 25, 33, 35, 51, 53.
Try as many as you can but at least the ones above.

9/13/24 Friday
Quiz 4 grades have been posted on canvas.
Quiz 4 Solutions
Quiz 4 Problems

9/12/2024 THURSDAY
QUIZ 4 tomorrow. 12.5 and 12.6 (No 12.4).
Today we talked about quadric surfaces.
Please read notes and THEN try practice problems.
In calculus 2 review only need to know how curves are oriented and where are their centers and vertices.
Don't worry about focus and asymptotes etc.,
Notes from today
Practice problems: 12.6 problems 1, 5, 7, 11, 13, 17, 21.
12.5 problems 3, 7, 9, 11, 13, 15, 19, 27, 29, 31, 35, 39, 45, 51, 53, 57, 69, 71.
Try as many as you can but at least the ones above.

9/11/2024 WEDNESDAY
QUIZ on FRI. 12.5 and part of 12.6 (details tomorrow ; No 12.4).
Today we talked about equation of plane in 3 dimensions.
Please read notes and THEN try practice problems.
Notes from today
Practice problems: 12.5 problems 3, 7, 9, 11, 13, 15, 19, 27, 29, 31, 35, 39, 45, 51, 53, 57, 69, 71.
Try as many as you can but at least the ones above.

9/9/2024 MONDAY
Today we started talking about equation of line in 3 dimensions.
Please read notes (first 5 pages and the problems at the end) and THEN try practice problems.
Notes from today
Practice problems: 12.5 problems 3, 7, 9, 11, 13, 15, 19.
Try as many as you can but at least the ones above.

9/6/24 Friday
Quiz 3 grades have been posted on canvas.
Quiz 3 Solutions
Quiz 3 Problems

9/5/24 Thursday

QUIZ 3 on friday will based on 12.3 and 12.4. Problems similar to the practice problems and the ones we did in class.
Today we finished talking about cross product or vector product.
I have added a problem on torque in the notes. So please read notes.
Notes from today (updated -- Please reload)
Practice problems: 12.3 problems 43, 49, 51, 55, 57.
12.4 problems: 3, 5, 7, 13, 19, 21, 23, 25, 27, 33, 35,37, 39, 41.
Try as many as you can but at least the ones above.

9/4/24 Wednesday

QUIZ 3 on friday will based on 12.3 and 12.4. Problems similar to the practice problems and the ones we did in class.
Today we finished talking about dot product (aka scalar product) of vectors and started on cross product or vector product.
Notes from today (updated -- Please reload)
Practice problems: 12.3 problems 43, 49, 51, 55, 57.
12.4 problems: 3, 5, 7, 13, 19, 21, 23, 25.
Try as many as you can but at least the ones above.

8/30/24 Friday
Quiz 2 grades have been posted on canvas.
Quiz 2 Solutions
Quiz 2 Problems

8/29/24 Thursday

QUIZ 2 on friday will based on 12.2 and 12.3. Problems similar to the practice problems and the ones we did in class.
Today we talked about dot product (aka scalar product) of vectors and went over some problems.
Notes from today(updated -- Please reload)
Practice problems: 12.3 problems 1, 9, 11, 17, 25, 27, 31, 43.
Try as many as you can but at least the ones above.

8/23/24 Wednesday

QUIZ 2 on friday will based on 12.2 and 12.3. Problems similar to the practice problems and the ones we did in class.
Today we continued talking about vectors in 3 dimensions and went over some problems.
Notes from today(updated -- Please reload)
Practice problems: 12.2 problems 1, 3, 9, 11, 17, 21, 25, 27, 31, 33, 39, 43.
Try as many as you can but at least the ones above.

8/28/23 Monday
Quiz 1 grades have been posted on canvas.
Quiz I Solutions
Quiz I Problems

8/23/24 Friday

QUIZ 1 on monday will based on 12.1 and 12.2 based on the practice problems and the ones we did in class.
Today we started talking about vectors in 3 dimensions and went over some problems.
Notes from today(updated -- Please reload)
Practice problems: 12.2 problems 1, 3, 9, 11, 17, 25, 27, 31.
Try as many as you can but at least the ones above.

8/22/24 Thursday

Today we continued talking about doing calculus in 3 dimensions and went over some problems.
Notes from today(updated -- Please reload)
Practice problems: 12.1 problems 5, 7, 9, 11, 13b, 15, 17.
Try as many as you can but at least the ones above. The quiz on monday will be based on these and the ones we did in class.
We will do 12.2 tomorrow and quiz 1 on monday will based on 12.1 and 12.2.

8/21/24 Wednesday

Today we started talking about doing calculus in 3 dimensions and introduced co-ordinate system, distance and midpoint formulae for 3 dimensions.
Notes from today
No practice problems today but please read the notes above and try problem 4 and 6. I have added pictures for better understanding.
I am postponing quiz 1 to monday because I think we need to spend more time on 12.1 and 12.2.

8/19/24 Monday

Today we introduced ourselves to each other and to calculus.
INTRODUCTION TO CALCULUS 3 -- Notes from today
No practice problems today but please read the calculus review and calculus review problems in the notes above.

We will go over 12.1 and 12.2 and have a quiz on them on friday.

8/16/24 Friday

THE FOLLOWING IS FROM CALCULUS 2 SPRING 2020. PLEASE USE IT FOR REVIEW.

CALCULUS 2 SPRING 2020