Back to Home 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.,

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.,

THURSDAY CLASSES AND OFFICE HOURS ON ZOOM.

TEST II WILL BE WED OCT 23. MORE DETAILS SOON.

QUIZ 7 Wed 16th.

10/11/24 Friday

QUIZ 7 WED ON 14.4, 14.5, 14.6.

Today we talked about directional derivatives and the gradient vector.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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