Ravenel’s notes

Section numbers refer to Stewart Calculus: Early Transcendentals, 9th Edition. (This book is almost identical to the 5th, 6th, 7th, and 8th editions, which you may use as a substitute if it will save you money.)

All Webwork (set 0, set 1, etc.) due dates are at 6am on the indicated day.

Week of August 26 (week 1)

The first class will meet on Monday, August 26, 2024.

  • Homework: set 00 due at 6am Saturday, Aug 31

  • Read: 5.1 - 5.5, 6.1

  • Topics: Fundamental theorem of Calculus, Integration by Substitution, Area between two curves

Week of September 2 (week 2)

Labor Day (no classes) on Monday, Sep 2

  • Homework: set 1 due at 6am Saturday, Sep 7

  • Read: 6.1, 6.2

  • Topics: Areas Between Curves, Volume: intro, disks and washers

Week of September 9 (week 3)

  • Homework: set 2 due at 6am Saturday, Sep 14

  • Read: 6.3, 6.4, 6.5

  • Topics: Volume: shells, Work, Average Value of a Function

Week of September 16 (week 4)

  • Homework: set 3 due at 6am Saturday, Sep 21

  • Read: 7.1, 7.2, 7.3

  • Topics: Integration by Parts, Trig Integrals, Trig Substitution

Week of September 23 (week 5)

  • Homework: set 4 due at 6am Saturday, Sep 28

  • Read: 7.3, 7.4, 7.5

  • Topics: Trig Substitution, Partial Fractions, Strategy for Integration

FIRST MIDTERM

  • Date and Time: Thursday Septemeber 26, 8:00-9:20am. Location: see the exams page for your instructor. You will be allowed to bring one sheet of paper with notes of your choice written on both sides. The exam itself will include the same formulas as on page 2 of the first midterm exam of Fall 2022.

  • This exam will cover weeks 1-4 i.e., Sections 5.1-5.5, 6.1-6.5, 7.1-7.2, (WeBWorK 1-4)(TENTATIVE).

  • Old exams with and without solutions can be found here. Some of them covered different material from this one.

Week of September 30 (week 6)

  • Homework: set 5 due at 6am Saturday, Oct 5

  • Read: 7.8, 8.1

  • Topics: Improper Integrals, Arc Length

Week of October 7 (week 7)

  • Homework: set 6 due at 6am Saturday, Oct 12

  • Read: 8.2, 10.1, 10.2

  • Topics: Surface Area, parametric curves, calculus on parametric curves.

Week of October 14 (week 8)

Fall Break: No classes, office hours on Monday and Tuesday, and no recitations all week

  • Homework: set 7 due at 6am Saturday, Oct 19

  • Read: 10.2, 10.3

  • Topics: Calculus of parametric curves, Polar Coordinates

Week of October 21 (week 9)

  • Homework: set 8 due at 6am Saturday, Oct 26

  • Read: 10.3, 10.4

  • Topics: Polar coordinates: Areas and lengths, Sequences

Week of October 28 (week 10)

  • Homework: set 9 due at 6am Saturday, Nov 2

  • Read: 11.1, 11.2

  • Topics: Series, Integral test

SECOND MIDTERM

  • Date and Times: Tuesday Oct0ber 31, 8:00-9:20am, Location: see the exams page for your instructor.

This exam will cover weeks 1-9, but focus on weeks 5-9. i.e., Sections 7.2,7,4,7.5, 7.8, 8.1-8.2, 10.1-10.4 (WeBWorK 5-9). Topics covered include partial fractions, trig substitution, strategy for integration, improper integrals, arc length, surface area, parametric curves, polar coordinates, sequences and series.

Old exams can be found here. Some of them covered different material from this one.

Week of November 4 (week 11)

  • Homework: set 10 due at 6am Saturday, Nov 9

  • Read: 11.3, 11.4

  • Topics: Comparison tests, Alternating series

Week of November 11 (week 12)

  • Homework: set 11 due at 6am Saturday, Nov 16

  • Read: 11.5, 11.6

  • Topics: Ratio and Root tests, Absolute convergence

Week of November 18 (week 13)

  • Homework: set 12 due at 6am Saturday, Nov 23

  • Read: 11.7, 11.8

  • Topics: Power series, Representation of functions as power series

Week of November 25 (week 14)

  • Homework: set 13 due at 6am Wednesday, December 4

  • Read: 11.9, 11.10

  • Topics: Taylor series

No classes on Wednesday, November 27

Week of December 2 (week 15)

  • Homework: set 14 due at 6am Saturday, Dec 7

  • Read: 11.11, Review

  • Topics: Application of Taylor polynomials, Review

Week of December 9 (week 16)

  • Review for the final exam.

LAST DAY OF CLASS: Monday, Dec 9

FINAL EXAM

  • Friday, December 13, 12:30-3:30pm, Lower Strong 011 (Lower Strong Auditorium)

Old final exams can be found here.