Calculus II -- Matthew Haner  


  • Our book is Calculus Early Transcendentals 3rd Edition by Briggs, Cochran, Gillett, and Schulz. ISBN: 978-0134765631. This text is required. Be sure to get the correct edition as well: the problems are not the same in other editions.
  • Syllabus in pdf.

         References  -- Some are mine, some are taken from the Open Stax Calculus book here.


Week 1.  January 22 - January 26.    
Day
 Class Covers
 Assignments, etc.
Tuesday
 Go over the syllabus.  Review of selected topics for Calc II, especially limits. Get the book if you don't already have it.
Wednesday
 Review of derivatives. 
Do get the Briggs book.
Thursday
 Summation notation.  The definition of the Riemann integral.  The fundamental theorem of calculus.  Definite vs indefinite integrals.  Some basic indefinite integrals.
 Page 378-379 problems 29-59 are good review.  Do something like every third odd problem.

Week 2.  January 29 - February 2.
Day
 Class Covers
 Assignments, etc.
Monday
Drop/Add Deadline

Tuesday

Wednesday
 5.5:  Basic substitution in integrals.
 5.5:  Indefinite Integrals 19, 23, 27, 35, 41, 43
5.5:  Def Integrals 61, 71 , 73
Thursday
 6.2:  Area between two curves.
 6.2:  1, 9, 11, 39, 47, 57

Week 3.  February 5 - February 9.    
Day
 Class Covers
 Assignments, etc.
Tuesday
 6.3:  Volume using discs and washers. 6.3:  17, 19, 25, 35, 37, 43.  Do 31 and 11 last.
Wednesday
 6.5:  Arc length
 6.5:  3, 5, 6, 7, 11, 15 (I did 6 to the end.  Gotta show ya it!)
Thursday
 1.3 and 7.1.  Logs, exponential, and the calculus of these functions.
 1.3:  19, 45, 47, 49, 55, 57, 59, 71, 73, 75
7.1: 7, 9, 15, 23, 29, 31, 33, 39, 47, 49.
(Really anything in 7-51 odd is good.  Some are tricky.)

Week 4.  February 12 - February 16.
Day
 Class Covers
 Assignments, etc.
Tuesday
 1.4:  Inverse trig functions.
3.10:  Derivatives of inverse trig
1.4:  49, 53, 57, 63, 65, 83, 87
3.10:  13, 17, 21, 27
Wednesday
 8.1: Trickier integrals.
 8.1:  11, 15, 19, 25, 27, 31, 35, 47, 49, 53, 55. 
If that was easy, try 57-63odd
Thursday
 8.2: Integration by parts.
 8.2:  9, 15, 21, 27, 33, 39, 41

Week 5.  February 19 - February 23.    
Day
 Class Covers
 Assignments, etc.
Tuesday
 8.3:  Trig overload.
 8.3:  9, 15, 17, 25, 27, 35, 45, 53, 67, 69.  (All the odds are good.)
Wednesday
 I'll take questions for the test.
Thursday
 Test 1.  Covers everything from week 2 to 8.1.  (Includes 8.1)
 Test 1.  Covers everything from week 2 to 8.1.  (Includes 8.1)

Week 6.  February 26 - March 1.
Day
 Class Covers
 Assignments, etc.
Tuesday
 We'll go over the exam.  Some more integration by parts and integrals involving trig functions.
 Get caught up.
Wednesday
 8.4:  Trig substitution.
 8.4:  11, 13, 15, 17, 25, 33.  As usual, most of the odds are good if you need more.
Thursday
 8.5:  Partial fraction decomposition.
 8.5:  25, 35, 41, 45, 51.  As usual, most of the odds are good if you need more.

Week 7.  March 4 - March 8.    
Day
 Class Covers
 Assignments, etc.
Tuesday
 8.6:  Integration strategies
 8.6:  7, 9, 11, 15, 17, 19, 23.  I really like 22.
Wednesday
 12.1:  Parametric equations and their derivatives.
 12.1:  11, 17, 19, 21, 25, 67, 69.  59 is cool. 90 is too.
Thursday
 Recitation of recent material.

Spring Holiday.  March 11 - March 15.    
Day
 Class Covers
 Assignments, etc.
Monday
 No Classes.
 No Classes.
Tuesday
 No Classes. No Classes.
Wednesday
 No Classes. No Classes.
Thursday
 No Classes. No Classes.
Friday
 No Classes. No Classes.

Week 8.  March 18 - March 22.
Day
 Class Covers
 Assignments, etc.
Tuesday
 Numerical integration.
5.1: Left, right, midpoint Riemann sums
8.8:  Trapezoid sums and Simpson's rule.
 5.1:  29, 31, 39, 41.
8.8:  23, 25.
Wednesday Comparison of numerical techniques.
8.9:  Improper integrals.
8.9:  7-15 odd.  Infinite limits.
8.9:  37, 43, 45, 49
Thursday
 We'll finish up 8.9.

Week 9.  March 25 - March 29.
Day
 Class Covers
 Assignments, etc.
Tuesday
 Review of integrals.
Wednesday
 10.1:  Introduction to sequences and series.
 10.1:  5, 13, 15, 25, 26, 27, 31, 35, 37, 39, 41 (You have to do 26)
Thursday
 10.2:  Properties of sequences.
 10.2:  13-51 Every other odd.  55, 59, 65, 75, 77.

Week 10.  April 1 - April 5.    
Day
 Class Covers
 Assignments, etc.
Monday
Registration Begins

Tuesday
 10.2:  Properties of sequences. Do the homework after the test.
Wednesday
 Test 2.  Covers everything from 8.1 up to sequences.  (But not sequences.) Test 2.  Covers everything from 8.1 up to sequences.  (But not sequences.)
Thursday
 10.2:  Properties of sequences.  Notes.

 10.2:  13-51 Every other odd.  55, 59, 65, 75, 77.

Week 11.  April 8 - April 12.
Day
 Class Covers
 Assignments, etc.
Tuesday
 10.3:  Properties of series--notes.  Geometric series.  Telescoping series.
Notes on convergence test for sections 10.2-10.7
 10.3:  9, 23, 31, 37, 55, 57, 61
Wednesday
 Finish up 10.3:  Telescoping series
10.4:  The divergence test, integral test and p-series.
 10.4:  9, 11, 13, 15, 23, 25, 29, 33, 37.
Thursday
 10.5:  The (direct) comparison test.  The limit comparison test.
10.6:  Alternating series.
 10.5: 9, 13, 17, 21, 23, 27.  When you're done, 41-53 are a great summary of this week.
10.6: 11, 15, 19, 23, 27.

Week 12.  April 15  - April 19.    
Day
 Class Covers
 Assignments, etc.
Tuesday
 10.6:  Conditional and absolute convergence.
10.7:  The root and ratio tests.
 10.6:  45, 49, 51, 53, 57.
10.7: 11, 13, 15, 17, 19, 27.
Wednesday
 10.8: Series Smörgåsbord.  (My favorite loanword ever.  Swedish for "open-sandwich-table") 
10.8:   11-51 odd are all good.  Maybe you should do every other odd.
Thursday
 11.1:  Taylor polynomials.
 11.1:  17, 19, 21, 23.

Week 13.  April 22 - April 26.
Day
 Class Covers
 Assignments, etc.
Tuesday
 11.2  Power series
 11.2:  11, 17, 19, 25, 29.
Wednesday
 Bring me your questions for test 3.
Thursday
 Test 3.  Covers everything from 10.1 up to and including 11.1.

Week 14.  April 29 - May 3.
Day
 Class Covers
 Assignments, etc.
Tuesday
 11.3:
Wednesday
 Finish 11.3.
Thursday
 Review for the final.

Finals Week.  May 6 - May 9.  See the final exam schedule on the registrar's page.
Day
 Class and Final Exam Time
Monday
 Calculus II:  Monday, May 6, 2024    12:30 pm to 2:30 pm
Tuesday
Wednesday
Thursday
Statistics:  Thursday, May 9, 2024    12:30 pm to 2:30 pm