Here you will see information on what was covered in class, upcoming quizzes, and solutions to exams

CHECK HERE EVERYDAY !

COURSE PAGE WITH SYLLABUS, GRADING SCHEME, ETC.,

Class videos will be posted on Echo360.org. Will send invite for logging into Echo360.

Please make sure you have Zoom and Echo360 logins on your computer.

Will send invite for Echo360 and phone number and sign-up sheet for quizzes.

OPTIONAL: It will be useful to have access the online homework website Webassign.

CLASS KEY 7187 3311.

You will also need access code that you got when you bought book or e-book.

Tentative schedule of daily topics (SYLLABUS)

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

TESTS AND QUIZZES FROM FALL 2020 CALCULUS 1

Virtual Tutoring Center is up. Look in "Content" on Blackboard.

OLD FINAL EXAMS

FOR SOLUTIONS FOR OLD TESTS from Fall 2020, Fall 2019, 2018, FALL 2017 ETC., go to OLD COURSES.

Click on the desired course, then click on UPDATE.

Friday, 5/7/2021.

Final grades have been posted on Bisonweb.

Final exam and Final exam solutions.

Best wishes! Have a great summer!

Virtual Tutoring Center is up. Look in "Content" on Blackboard.

(Thanks to Prof. Nerolu).

It will have two sections, one with all problems mandatory and the other with choice.

Solutions for version B of Fall 2019 final (Try problems first! They are below).

Fall 2019 Final version B problems.

The two versions are only slightly different.

Fall 2018 Final ; Fall 2017 Final.

Fall 2018 Final Solutions ; Fall 2017 Final Solutions.

Other OLD FINAL EXAMS.

GRADES AS OF 4/19/21 ON BLACKBOARD, UNDER CONTENT.

SEE NOTES UNDER GRADES FOR EXPLANATION.

4/23/21 Friday

OFFICE HOURS MONDAY 2 TO 4PM IF YOU NEED HELP ON FINAL.

Will send zoom link .

Today we reviewed the fall 2020 final exam.

Notes from the class today.

More problems from fall 20 final.

4/21/21 Wednesday

Will send zoom link for next class.

Today we talked about integration by substitution.

Integration by Substitution.

Notes from the class today.

We did 33, 34, 43, and 80 from 5.5. They are in the notes and the video.

4/20/21 Tuesday

Will send zoom link for next class. No quizzes next week (see above).

Today we talked about integration by substitution and reviewed antiderivatives, integral, area and Riemann sum.

This was based partly on these notes on Integration.

and Integration by Substitution.

Notes from the class today.

(Continued from friday) more notes from the class today.

We did 15, 55, and 82 from 5.5. They are in the notes and the video.

4/19/21 Monday

Will send zoom link for next class. No quizzes next week (see above).

Today we talked about antiderivatives, integral, area and Riemann sum.

This was based partly on these notes on Integration.

(Continued from friday) notes from the class today.

We did 10, 11, 13, 39, 40, 41, and 42 from 5.3. They are in the notes and the video.

4/16/21 Friday

Will send zoom link for next class. No quizzes next week (see above).

No polls next week. Attendance + Polls grade will be calculated from score as of Wed 4/15, after dropping up to 10 classes.

No quizzes next week unless you missed more than one quiz. In that case, you can call Mon or Wed 4.30 to 5.30 or Tue 2.30 to 4, ONLY. No appointment necessary.

Today we talked about antiderivatives, integral, area and Riemann sum.

This was based partly on these notes on Integration.

Additional notes from the class today.

Completed Notes from wednesday.

We also did 18 from 5.1 and 47 from 5.3. They are in the notes and the video.

4/14/21 Wednesday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we talked about antiderivatives, integral, area and Riemann sum.

This was based partly on these notes on Integration.

Additional notes from the class today.

We also did 12, 13 and 8 from 5.1. They are in the notes and the video.

4/13/21 Tuesday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we saw more optimization (maxima/minima) problems.

This was based partly on these notes on Antiderivatives.

Additional notes from the class today.

We also did 20, 22, 23, and 24 from 4.9. They are in the notes and the video.

4/12/21 Monday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we saw more optimization (maxima/minima) problems.

This was based partly on these notes on Optimization using derivatives.

Additional notes from the class today.

We also did 6, 8, 13, 21, and 60 from 4.7. They are in the notes and the video.

4/9/21 Friday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we saw reviewed how to graph functions using derivatives and started with optimization problems.

This was based partly on these notes on Graphing curves using derivatives (pages 1-17).

Additional notes from the class today.

We also did 3 from 4.7. They are in the notes and the video.

4/7/21 Wednesday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we saw how to graph functions using derivatives.

This was based partly on these notes on Graphing curves using derivatives (pages 1-17).

Additional notes from the class today.

We also did 2 and 57 from 4.5 as well as the graphing of e^x - x. They are in the notes and the video.

4/6/21 Tuesday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we finished looking at the use of L'Hospital's rule to find limits.

This was based partly on these notes on L'Hospital's rule (pages 1-17).

Additional notes from the class today.

We also did 13, 26, 43 and 63 from 4.4. They are in the notes and the video.

4/5/21 Monday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we looked at the use of L'Hospital's rule to find limits.

This was based partly on these notes on L'Hospital's rule (pages 1-11).

Additional notes from the class today.

We did problems 17 and 19 from 4.3 for review.

We also did 15, 21, 24 and 25 from 4.4. They are in the notes and the video.

4/2/21 Friday

Will send zoom link for next class and sign-up sheet for next quiz through blackboard.

Today we looked at the use of second derivatives to finding maxima/minima and inflexion points.

This was based partly on these notes on Second derivatives and concavity (Pges 1-12).

NOTE: In page 18, application of mean value theorem, it must say f(x)-f(a) / (x-a) = f'(c) (not approximately equal).

Additional notes from the class today.

We did problems 42 from 4.3. They are in the notes and the video.

3/31/21 Wednesday

Will send zoom link for next class through blackboard.

Today we started looking at application of derivatives to finding maxima and minima.

This was based partly on these notes on Rolle's Theorem and mean Value theorem (Pges 13-23).

NOTE: In page 18, application of mean value theorem, it must say f(x)-f(a) / (x-a) = f'(c) (not approximately equal).

Additional notes from the class today.

We did problems 5, 7, 11, 13, and 37 from 4.2. They are in the notes and the video.

3/30/21 Tuesday

Will send zoom link for next class through blackboard.

Today we started looking at application of derivatives to finding maxima and minima.

This was based partly on these notes on Finding extrema using derivatives.

NOTE: In page 18, problem 4.1.55, one needs to compare f(0) also because 0 is also a critical point.

Additional notes from the class today.

We did problems 23, 52, 55, 70, and 77 from 4.1. They are in the notes and the video.

3/29/21 Monday

Will send zoom link for next class through blackboard.

Today we started looking at application of derivatives to finding maxima and minima.

This was based partly on these notes on Finding extrema using derivatives.

Additional notes from the class today.

We did problems 6, 25, 39, 41 and 48 from 4.1. They are in the notes and the video.

3/26/21 Friday

Will send zoom link for next class through blackboard.

Today we looked at another application of derivatives -- related rates.

This was based partly on these notes on Applications of derivatives.

NOTE: In last page (problem 3.9.38), it should say 10/60 = 0.167.

notes from the class today.

We did problems 32 from 3.7, and 5, 13 and 38 from 3.9. They are in the notes and the video.

3/24/21 Wednesday

Will send zoom link for next class through blackboard.

Today we looked at some applications of derivatives -- differentials and linear approximations, to approximate functions and small changes in functions.

This was based partly on these notes on Applications of derivatives.

NOTE: In last page (problem 3.9.38), it should say 10/60 = 0.167.

notes from the class today.

We did problems 8, 26 and 34 from 3.10. They are in the notes and the video.

3/23/21 Tuesday

Will send zoom link for next class through blackboard.

Today we looked at some applications of derivatives -- velocity, half-life, etc..

This was based partly on these notes on Applications of derivatives.

NOTE: In last page (problem 3.9.38), it should say 10/60 = 0.167.

notes from the class today.

We did problems 11, 12, 18 from 3.7, and 16 and 22 from 3.8. They are in the notes and the video.

3/22/21 Monday

Will send zoom link for next class through blackboard.

Today we reviewed chain rule and its applications.

This was based partly on these notes on Chain rule and Derivatives of composite functions .

Part 1 of notes from the class today.

Part 2 of notes from the class today.

We did some problems 80 from 3.4, 40, 54, and 55 from 3.6 and 80 from 3.5 in class and problem session. They are in the notes and the video.

3/19/21 Friday

Will send zoom link for next class through blackboard.

Today we reviewed chain rule and its applications.

notes from the class today.

We did some problems 15 from 3.6 and 65, 66 from 3.5 in class. They are in the notes and the video.

Please try the challenge problems!! (see notes).

3/17/21 Wednesday

Will send zoom link for next class through blackboard.

Today we talked about differentiating logarithmic functions.

This was based partly on these notes on Chain rule and Derivatives of composite functions (28-34).

Additional notes from the class today.

We did some problems 8, 25, 43 from 3.6 in class and problem session. They are in the notes and the video.

3/16/21 Tuesday

Will send zoom link for next class through blackboard.

Today we talked about implicit differentiation using chain rule and how to use that to differentiate inverse trigonometric functions.

This was based partly on these notes on Chain rule and Derivatives of composite functions (17-25).

Additional notes from the class today.

We did some problems 16, 86 from 3.4 and 27, 28, 50, 51 from 3.5 in class and problem session. They are in the notes and the video.

3/15/21 Monday

Will send zoom link for next class through blackboard.

Today we talked about chain rule after reviewing derivatives of trigonometric functions, and product and quotient rule.

This was based partly on these notes on Chain rule and Derivatives of composite functions (1-17).

Additional notes from the class today.

We did some problems in class. They are in the notes and the video.

3/5/21 Friday

Midterm grades based on grades as of 2/26 have been posted on bisonweb.

Will send zoom link for next class through blackboard.

3/3/2021 Wednesday.

We will have quizzes instead of class on Friday.

Today we talked about derivatives of trigonometric functions after reviewing product and quotient rule.

This was based partly on these notes on Derivatives of Trigonometric functions ( all )

and Product rule and quotient rule.

Additional notes from the class today.

We did 47 from 3.2 and the following from 3.3. They are in the notes and the video.

3.3: 10, 37, 39 and the derivative of sec(x).

3/2/2021 Tuesday.

We will have quizzes this week! Please sign up.

Today we talked about derivatives of products, quotients and about the derivation of the derivative of e.

This was based partly on these notes on Derivative formula (pages 1-20)

and Product rule and quotient rule.

Additional notes from the class today.

We did 34 and 36 from 3.1 and the following from 3.2. They are in the notes and the video.

3.2: 5, 23, 35.

3/1/2021 Monday.

We will have quizzes this week! Please sign up.

Today we talked about derivatives of polynomials, power functions and exponential functions.

This was based partly on these notes on Derivative formula (pages 1-15).

Additional notes from the class today.

We did the following from 3.1. They are in the notes and the video.

I have written the correct solution with explanation for 49.

3.1: 23, 25.

2/26/2021 Friday.

We will have quizzes next week! Please sign up.

Today we talked about properties of derivative especially second derivative.

This was based partly on these notes on Derivative formula (pages 18-23).

Additional notes from the class today.

We did the following from 2.8. They are in the notes and the video.

I have written the correct solution with explanation for 49.

2.8: 14, 37, 49.

2/24/2021 Wednesday.

Virtual Tutoring Center is up. Look in "Content" on Blackboard.

We will have quizzes this week! Please sign up.

Please talk to me any class / quiz you missed due to illness / storm, asap.

you need to fulfil those by the end of the week.

Today we talked about properties of derivative and ways in which it may not exist.

This was based partly on these notes on Derivative formula (pages 13-17).

Additional notes from the class today.

We did the following from 2.8. They are in the notes and the video.

2.8: 12, 13, 41, 42.

2/23/2021 Tuesday.

We will have quizzes this week! Please sign up.

Please talk to me any class / quiz you missed due to illness / storm, asap.

you need to fulfil those by the end of the week.

Today we talked about limit formula for derivative and used it to find derivatives of linear, quadratic and cubic functions .

This was based partly on these notes on Derivative formula (pages 11-12).

Additional notes from the class today.

We did the following from 2.7. They are in the notes and the video.

2.7: 5, 7, 12, 37, 38, 39.

2/22/2021 Monday.

We will have quizzes this week! Please sign up.

Please talk to me any class / quiz you missed due to illness / storm, asap.

you need to fulfil those by the end of the week.

Today we talked about limit formula for derivative and used it to find derivatives of linear, quadratic and cubic functions .

This was based partly on these notes on Derivative formula (pages 1-11).

Additional notes from the class today.

We did the following from 2.7. They are in the notes and the video.

2.7: 4, 13.

2/19/2021 Friday.

We will have quizzes next week! Please sign up once I send sheet this evening.

Please talk to me any class / quiz you missed due to illness / storm, on monday.

Today we talked about limits at infinity for functions involving square roots, exponential and logarithms.

This was based partly on these notes on Continuous functions (pages 27-30).

Additional notes from the class today.

We did the following from 2.6. They are in the notes and the video.

2.6: 14, 21, 25, 27, 28, 38, 39, 41, 42, 44.

2/17/2021 Wednesday.

Today we talked about limits at infinity, vertical and horizontal asymptotes.

This was based partly on these notes on Continuous functions (pages 19-26).

Additional notes from the class today.

We did the following from 2.6. They are in the notes and the video.

2.6: 2, 3e, 11, 13, 15, 16, 17, 26, 47.

2/16/2021 Tuesday.

Today we talked about continuous functions and the intermediate value theorem.

This was based partly on these notes on Continuous functions (pages 1-18).

Additional notes from the class today.

We did the following from 2.5. (2.4 we talked about, but won't be in quizzes). They are in the notes and the video.

2.5: 4, 19, 53.

2/12/2021 Friday.

NO CLASS MONDAY. NO QUIZZES NEXT WEEK.

Today we did some problems involving finding limits using cancellation and the squeeze (sandwich) theorem.

This was based partly on these notes on Limits.

Additional notes from the class today.

We did 31 and 32 from 2.2 and the following problems from 2.3. They are in the notes and the video.

2.3: 10, 21, 25, 38, 39.

2/10/2021 Wednesday.

Today we reviewed the basic idea of limit, saw some examples, and how to use limits to find slopes of tangent line using the slope of secants.

We also discussed limits.

This was based on these notes on Limits.

Additional notes from the class today.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

We did the following problems from 2.2. They are in the notes and the video.

2.2: 12 and a problem similar to 19.

2/9/2021 Tuesday.

Today we reviewed the basic idea of derivative, slope of tangent, and how to use slopes of secants to approximate it.

We also discussed limits.

This was based on these notes on tangents and secants and Limits.

Additional notes from the class today.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

We did the following problems from 2.1 and 2.2. They are in the notes and the video.

2.1: 1, 3, 7.

2.2: 5, 11, 13.

2/8/2021 Monday.

Today we discussed inverse functions, their graphs, equations and domain.

We also discussed logarithmic equations.

notes from the class today.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

We did the following problems from 1.5. They are in the notes or the video.

19, 23, 31, 36, 38, 52.

Please sign-up for quiz2 if you haven't already.

2/5/2021 Friday.

Today we discussed the basics of logarithms.

We finished with the following notes from last year:

EXPONENTIAL FUNCTIONS.

Additional notes from the class today.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

We did problems on finding time for an amount to grow by a certain factor, and how logarithms are inverses of exponential functions.

Please see the notes above (both of them).

Will send zoom link for class and sign-up sheet for quiz2 through blackboard.

2/3/2021 Wednesday.

Today we discussed the basics of logarithms.

We continued with the following notes from last year (pages 15-23):

EXPONENTIAL FUNCTIONS.

Additional notes from the class today.

WEBASSIGN CLASS KEY 7187 3311. Link at top of this page.

NOTE: Free 14 day trial period ending for webassign.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

Will send zoom link for class through blackboard.

Today we didn't have a problem session.

2/2/2021 Tuesday.

Today we talked about graphing exponential functions and writing their equation using doubling time, half-life, etc.,

We continued with the following notes from last year (pages 1-14):

EXPONENTIAL FUNCTIONS.

QUIZ instructions in notes below. Phone number and signup sheet were sent through blackboard/email.

Additional notes from the class today.

WEBASSIGN CLASS KEY 7187 3311. Link at top of this page.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

Will send zoom link for class through blackboard.

Today's problems (solutions are either in notes or video):

1.4 : 19, 20.

We also did some problems on compound interest that are in notes, and they will also appear in a later chapter.

2/1/2021 Monday.

Today we started talking about exponential functions.

We started with the following notes from last year (pages 1-14):

EXPONENTIAL FUNCTIONS.

QUIZ instructions in notes below. Phone number and signup sheet were sent through blackboard/email.

Additional notes from the class today.

WEBASSIGN CLASS KEY 7187 3311. Link at top of this page.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

Will send zoom link for class through blackboard.

Today's problems (solutions are either in notes or video):

1.4 : 9. 24, 30, 31.

1/29/2021 Friday.

Today we discussed combinations of functions.

We continued with the following notes from last year:

PROPERTIES OF FUNCTIONS.

QUIZ instructions in notes below. Phone number and signup sheet to be sent through blackboard/email.

Additional notes from the class today.

WEBASSIGN CLASS KEY 7187 3311. Link at top of this page.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

Will send zoom link for class through blackboard.

Today's problems (solutions are either in notes or video):

1.3 : 31, 32, 38, 43, 57.

1/27/2021 Wednesday.

Today we discussed more properties of functions including symmetry and transformations of their graphs.

We continued with the following notes from last year:

PROPERTIES OF FUNCTIONS.

Additional notes from the class today.

WEBASSIGN CLASS KEY 7187 3311. Link at top of this page.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

Will send zoom link for class through blackboard.

Today's problems (solutions are either in notes or video):

1.1 : 71 to 80, 1.3: 7.

1/26/2021 Tuesday.

Today we discussed basic properties of functions including piecewise functions and one-to-one functions.

We followed the following notes from last year:

PROPERTIES OF FUNCTIONS.

Additional notes from the class today.

WEBASSIGN CLASS KEY 7187 3311. Link at top of this page.

Please submit the honor code statement and go over the old algebra exams, ASAP. Instructions below.

Today the poll report worked, but there was one person who was only listed as "guest." Please make sure you are signed into zoom properly.

Will send zoom link for class through blackboard.

Today's problems (solutions are either in notes or video):

1.1 : 1, 2, 7, 8, 9, 10, 14, 41, 43.

1/25/2021 Monday.

Today we concluded our preview of calculus. We also discussed some applications.

INTRODUCTION TO CALCULUS.

Additional notes on main idea of differentiation and integration.

Please do the things mentioned below, ASAP.

Will send zoom link for class through blackboard.

You MUST do this ASAP.

Please try the diagnostic test in textbook (before "preview of calculus").

If you only have ebook and it doesn't have diagnostic test in it, try any old college algebra 1 final exam from OLD FINAL EXAMS and also this test from precalculus on trigonometry.

1/22/2021 Friday.

Today we started a preview of calculus. Will finish this on monday.

INTRODUCTION TO CALCULUS.

Written notes on slope, average and instantaneous velocity, secants and tangents.

Please do the things mentioned below, ASAP.

Will send zoom link for class through blackboard.

You MUST do this ASAP.

Please try the diagnostic test in textbook (before "preview of calculus").

If you only have ebook and it doesn't have diagnostic test in it, try any old college algebra 1 final exam from OLD FINAL EXAMS and also this test from precalculus on trigonometry.

1/21/2021 Thursday.

Welcome. Here are some instructions for getting ready for our next class, tomorrow.

Already sent zoom link for class and login invite for echo360 through blackboard.

You MUST do this ASAP.

Starting tomorrow we will have polls during class, and they will count towards grade even if you don't get answer right. Correct answers get credit as well.

Please try the diagnostic test in textbook (before "preview of calculus").

If you only have ebook and it doesn't have diagnostic test in it, try any old college algebra 1 final exam from OLD FINAL EXAMS and also this test from precalculus on trigonometry.

1/14/2021 Thursday.

Welcome. Here are some instructions for getting ready for our first class on 1/19/21 tuesday.

Will send zoom link for class through blackboard.

Thanks to Prof. Nerolu.

You MUST do this ASAP.

We will have polls during class, and they will count towards grade even if you don't get answer right. Correct answers get credit as well.

Please read and try problems from these notes on basics of functions from 2018 and notes on transformations of functions from 2018 in preparation for first class.