Math 125 – Autumn 2026

Welcome!

Homework and WebAssign

All homework assignments will be administered through WebAssign, and you must purchase an access code. WebAssign access includes an electronic version of the textbook. Once the quarter begins, you will register for WebAssign through your course’s Canvas site. You will have free access to WebAssign during the first week of the quarter. This Cengage web page explains how to purchase WebAssign.

Textbook

The course textbook is James Stewart’s Calculus: Early Transcendentals, 9th edition. An electronic version is included with your WebAssign access, so you do not need a printed copy if you plan to use the e-book for your reading. It is important to read the textbook, however, and some students may find a printed copy easier to use. If you wish to purchase a paper copy of the textbook, any recent print edition, from the 6th through the 9th edition, should be suitable for reading.

Be aware, however, that page numbers and section numbering may differ among editions.

Math Study Center

All Math 125 students are encouraged to use the Math Study Center (located in B-014 in the basement of the Communications Building). The MSC is a great place to study. You can work with other students in your course, form study groups, and receive assistance from tutors when you need help. The center also has copies of the textbook and other study materials. The MSC’s hours are listed on its website.

Calculator Policy

A TI-30X IIS calculator is required in Math 120, 124, 125, and 126. It is the only calculator permitted on exams.

We strongly recommend using the same calculator for assignments and exam practice.

Calculus Grade Policy

For Math 124, 125, and 126 courses taught during the regular academic year, the median grade in each lecture section—or across an instructor’s combined lecture sections—will fall within the range 2.9 ± 0.2.

Worksheets

You are responsible for bringing a printout of the correct worksheet to your quiz section every Thursday. Bring the worksheet to class without completing it in advance; you will work on it during your quiz section. A PDF of each worksheet appears under the corresponding week’s outline in the table below. Solutions will become available at the end of the week. Alternatively, download the single PDF containing all worksheets for the quarter.

Accommodations

If you need accommodations because of a disability, please contact Disability Resources for Students . For religious accommodations, please see this page . Once your accommodations have been approved, visit your instructor during office hours to discuss any relevant details.

Final Exam

The common final examination for all sections of Math 125 will be held on Saturday, December 12, 2026, at 1:30 p.m.

See this webpage for examination policies and room assignments.

Table of Permitted Integral Formulas

During the final examination, you may use any of the integral formulas in the table below without deriving them. All other integrals must be computed from these, using the methods taught this quarter.

Constants of integration have been omitted.

1. ∫ xn dx = xn+1 / (n+1),  n ≠ −1
2. ∫ (1/x) dx = ln|x|
3. ∫ ex dx = ex
4. ∫ bx dx = bx / ln b
5. ∫ sin x dx = −cos x
6. ∫ cos x dx = sin x
7. ∫ sec2 x dx = tan x
8. ∫ csc2 x dx = −cot x
9. ∫ sec x tan x dx = sec x
10. ∫ csc x cot x dx = −csc x
11. ∫ sec x dx = ln|sec x + tan x|
12. ∫ csc x dx = ln|csc x − cot x|
13. ∫ tan x dx = ln|sec x|
14. ∫ cot x dx = ln|sin x|
15. ∫ sinh x dx = cosh x
16. ∫ cosh x dx = sinh x
17. ∫ dx / (x2 + a2) = (1/a) tan−1(x/a)
18. ∫ dx / √(a2 − x2) = sin−1(x/a)

Course Outline for Autumn Quarter 2026

Weekly outline, exam archive, topics, and textbook sections
Week Weekly Outline / Study Guide Exam Archive Topics and Textbook Sections
1 Outline 1 — Antiderivatives; Areas and Riemann Sums (Sec. 4.9, 5.1)
2 Outline 2 — Definite Integrals; The Fundamental Theorem of Calculus; Indefinite Integrals & Total vs. Net Change (Sec. 5.2, 5.3, 5.4)
3 Outline 3 — The Technique of Substitution; Applications: Areas between Curves; Volumes by Slicing & the Disks/Washers Method (Sec. 5.5, 6.1, 6.2)
4 Outline 4 MIDTERM #1 Archive Application: Volumes of Solids of Revolution via the Cylindrical Shells Method; Review; Midterm #1; More Volumes via All Methods (Sec. 6.3)
5 Outline 5 — Applications: Work, Average Value of a Function; Techniques of Integration: Integration by Parts (Sec. 6.4, 6.5; 7.1)
6 Outline 6 — More Techniques of Integration: Products of Trig Functions; Trigonometric Substitution; Partial Fractions; Strategies of Integration (Sec. 7.2, 7.3, 7.4)
7 Outline 7 — Strategies of Integration; Approximations of Integrals; No class on Wednesday (Sec. 7.5, 7.7)
8 Outline 8 MIDTERM #2 Archive Improper Integrals; Midterm Review; Arc Length of a Curve; Midterm #2 (Sec. 7.8, 8.1)
9 Outline 9 — No class on Thursday and Friday; Application: Center of Mass; Introduction to Differential Equations (Sec. 8.3, 9.1)
10 Outline 10 — Solving Separable Differential Equations; Applications of Differential Equations; Final Exam Review (Sec. 9.3, 3.8/9.4)
11 Outline 11 FINAL Exam Archive Final Exam Review