The syllabus for this course is available here.
The lecture notes that I post on this page are all written using a software program I have written called DirectMath. To read the lecture notes in DirectMath format, you will need to download and install the DirectMath software.
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The software you download is fully functional and will allow you to read these lecture notes. However, if you want to avoid seeing the registration dialog every time you start up, you should obtain an unlocking code. Unlocking codes are available free of charge for Lawrence students. Simply enter your name and lawrence.edu email address below and click submit. An unlocking code will be sent to you automatically.
The lecture notes here are organized by date. After each lecture I will post lecture notes both in pdf format and DirectMath format. Clicking on the pdf link shows you the lecture notes in pdf form, which can be viewed from any computer. Clicking on the DirectMath link downloads the lecture notes in DirectMath form. You must have DirectMath installed on your computer to view the notes in that format.
If you would like to print the lecture notes, I recommend you get the note in DirectMath format and select '10 point' from the display menu in DirectMath before printing. This gives the best printed results.
I reviewed the fundamental theorems of integral calculus, which are discussed in section 5.3 in the text.
Lecture notes:PDF DirectMath.
No homework was assigned today.
I showed some basic integration formulas and discussed the substitution method.
Lecture notes:PDF DirectMath.
Homework (due Friday the 12th): Section 5.4 - 6, 8, 10, 26, 36 ; Section 5.5 - 12, 32, 44, 58, 64.
I covered sections 6.1, 6.2, and 6.3 by showing a series of examples. Since most of these examples appear in the text, there will be no supplementary lecture notes for these sections.
Homework (due Friday the 19th): Section 6.1 - 12, 20, 28 ; Section 6.2 - 12, 18, 48, 52 ; Section 6.3 - 6, 10, 40.
Section 6.4, Work
Lecture notes:PDF DirectMath.
Homework (due Monday the 22nd): Section 6.4 - 14, 22, 30.
Section 7.1, Integration by parts
Lecture notes:PDF DirectMath.
Homework (due Wednesday the 31st): Section 7.1 - 12, 16, 30, 46, 62.
Section 7.2, Trig integrals
Lecture notes:PDF DirectMath.
Homework (due Wednesday the 31st): Section 7.2 - 2, 10, 20, 24, 34, 42.
Section 7.3, Trig substitutions
Lecture notes:PDF DirectMath.
Homework (due Wednesday the 7th): Section 7.3 - 2, 6, 16, 24, 26.
Section 7.4, Partial Fractions
Lecture notes:PDF DirectMath.
Homework (due Wednesday the 7th): Section 7.4 - 8, 12, 16, 34.
Section 7.8, Improper Integrals
Lecture notes:PDF DirectMath.
Homework (due Friday the 16th): Section 7.8 - 6, 8, 18, 24, 32.
Section 11.1, Sequences
Lecture notes:PDF DirectMath.
Homework (due Friday the 16th): Section 11.1 - 12, 18, 24, 34, 56.
Section 11.2, Series
Lecture notes:PDF DirectMath.
Homework (due Monday the 26th): Section 11.2 - 12, 18, 24, 34, 68.
Section 11.3, The Integral Test
Lecture notes:PDF DirectMath.
Homework (due Monday the 26th): Section 11.3 - 16, 20, 30.
Section 11.4, the Limit comparison test
Lecture notes:PDF DirectMath.
Homework (due Friday the 2nd): Section 11.4 - 16, 24, 36, 38.
Section 11.5, Alternating Series
Lecture notes:PDF DirectMath.
Homework (due Friday the 2nd): Section 11.5 - 8, 24.
Section 11.6, the ratio test
Lecture notes:PDF DirectMath.
Homework (due Wednesday the 7th): Section 11.6 - 2, 6, 10, 12. Section 11.7 - 8, 12, 16, 20, 38.
Sections 11.8 and 11.9, Introduction to Power Series
Lecture notes:PDF DirectMath.
Homework (due Friday the 9th): Section 11.8 - 12, 14, 40. Section 11.9 - 14, 32.