Calculus II (Math 126) Notes, Fall 25
Textbook
The textbook is free, and from OpenStax- Here is the main link:
OpenStax Calculus II page
It is also possible to download a PDF version, or order a printed copy if you prefer it.
Beginning Material
Course Plan and Handout Links
- Week 1
- Wed, Sep 3: Go through the syllabus, discuss an AI policy, work through some limits
- Fri, Sep 5: Reviewed limits, continuity, derivatives and antiderivatives. On Monday, we'll hit the
sigma notation (you might find it useful to read over the first part of 1.1).
- Week 2
- Mon, Sep 8: Section 1.1 (Sigma notation and area)
Reminder: The "review" from Week 1 (See above) is due tonight at 11:59 PM
On Wed, we'll also have a short quiz from the homework below (from 1.1). It will be 10=15 min at the end of class.
Homework for 1.1: 2, 6, 8, 15, 43, 53, 54
- Wed, Sep 10: Finish 1.1, start 1.2.
Short Quiz today ("Quiz 2")
Homework for 1.2: 61, 64-66, 72, 77, 92-93, 96.
- Fri, Sep 12: 1.3 (Average value of a function, Fundamental Theorem of Calculus)
Homework for 1.3: 148, 151, 152, 155, 170, 172, 176, 180, 183, 185, 191, 195, 198.
- Week 3
- Mon, Sep 15: Finish 1.3, go through 1.4 (Integration, Net Change Theorem)
Homework for 1.4: 207, 209, 210, 211, 213, 19, 226, 248.
Webwork should be set up later today.
Quiz on Wednesday- Riemann sums, average value, FTC
- Wed, Sep 17: 1.5 (Integration by substitution)
Homework for 1.5: 256, 258, 260; 265, 267, 269; 273, 275, 277, 279, 281, 285; 293, 305.
Webwork assigned, due next Tuesday.
- Fri, Sep 19: 1.6 (Exponentials and Logs)
Homework for 1.6: 321-323, 325, 327; 329-331, 332, 335,337,339,341; 343, 344, 349, 350; 355, 357; 363, 373
Start reviewing for next week's exam.
- Week 4 (9/22-9/25)
- Mon, Sep 22: Review for Exam
- Wed, Sep 24: Exam 1
- Fri, Sep 25: Pickup Section 1.7 (Slight change from the posted schedule)
Main point: Put a given integral into the right form using integral formulas.
Homework for 1.7: 392, 393, 399, 400, 402, 411, 413, 431.
New Webwork for next week is ready (due next Friday at 11:59 PM).
- Week 5 (9/29-10/3)
- Mon, Sep 29: Section 2.1
Homework for 2.1: 3, 5, 6, 7, 8, 20, 23
- Wed, Oct 1: Section 2.2
- Handout #1 (Group work)
- Handout #2 (Group Work)
- Solutions to the two handouts (included: Shell method solutions, too)
- Homework for 2.2: 58, 63, 67, 75, 79, 83, 89, 91, 95, 98, 99
- Fri, Oct 3: Section 2.3 (Method of Shells)
- Week 6 (10/6-10/10)
- Mon: 2.4, 3.1
- HW for 2.4: 165, 169, 183*, 195* (*=setup only)
- Wed: 3.1
- Fri: No classes
- Week 7 (10/13-10/17)
- Mon: Section 3.2 (Trig integrals)
- Table of formulas
- Homework:
73, 75 (substituion)
79, 81, 83, 84 (Powers sine/cosine)
89, 90 (Powers tangent, secant)
97, 99, 100 (Double angle)
103, 104, 106 (sum formulas)
116, 119 (practice with arc length)
- Wed: Section 3.3 (Trig Substitution)
- Fri: Finish 3.3. If we get into 3.4:
- Homework: 182, 183. For 188-195, set up the partial fractions, but do not solve
for the coefficients. I'll post the solutions to these here. Also: 196, 199, 201, 207, 211.
- Reminder: Exam is a week from today.
- Worksheet for Chapter 3, with solutions (The solutions to
the third section will be posted on Monday)
- Week 9 (Oct 27-Oct 31)
- Mon: Section 3.7 (Improper Integrals):
- Homework: 347, 348, 350, 351, 353, 357, 359, 362, 363, 367, 373, 395, 398.
- Quiz 7 is a take home quiz, due Wed evening - Upload answers to Canvas
- Wed: Section 5.1 (we're skipping Ch 4)
- Homework: 1, 3; 5,7, 12; 23, 25; 27,30; 37,33; 46,51,53.
- Reminder: Quiz 7 is due at 11:59 PM this evening (upload to Canvas).
- Fri: Section 5.2 (Infinite Series)
- Homework: 67, 69; 75; 83,86; 89,90; 103,105
- Week 10 (Nov 3-7)
- Mon: Section 5.3 (Divergence and Integral Tests)
- Wed: Section 5.4 (Comparison Tests)
- Fri: Section 5.5 (Alternating Series)
Exam Material
- Exam 1 Materials
- Exam 2 Materials
Other Links