MAT 21B, sections B01-B05
Instructor: Prof. Matthias Koeppe, 3143 MSB, (530) 554-2817
Textbook: Thomas' Calculus: Early Transcendentals, by Weir and Hass
(12th edition, Pearson, 2010).
We will not use the so-called Media Upgrade provided by the publisher of the book in our class.
Sections 4.8, 5.1-5.6, 6.1-6.6,
7.1-7.2, 8.1-8.4, 8.6-8.7, 11.1-11.4 will be covered.
Grade: Course grade will be based on: Homework (20%), Midterm 1
(20%), Midterm 2 (20%), Final (40%). Grading will be on a soft
curve, i.e., it is not decided ahead of time what final scores
correspond to what grades, or what percentage of students get what
grades. Grades will be posted on SmartSite.
Exams: Midterms and final will be written, in class exams. No
calculators, other electronic devices, or notes are allowed.
- Midterm 1: Friday Feb 3 in class.
- Midterm 2: Friday Feb 24 in class.
- Final: Time and location as officially announced.
for all (graded!) homework assignments. Homework will be posted
continuously. Please check for new homework and the deadlines
yourself; it will not be announced in class.
Announcements: We use SmartSite for announcements and further resources.
Students with disabilities: Any student with a documented
disability (e.g. physical, learning, psychiatric, vision, hearing,
etc.) who needs to arrange reasonable accommodations must contact
the Student Disability Center (SDC). Faculty are authorized to
provide only the accommodations requested by the SDC. If you have
any questions, please contact the SDC at (530)752-3184 or by email:
sdc at ucdavis dot edu.
- For help, please go to the TA's office hours. You can come
to any TA's office hours, no matter whose section you attend, so
there are many office hours you can choose from. Our TAs are: Rex
Cheung, Reuben La Haye, Emily Merrill. Hours are announced on
- With problems of mathematical nature, you are always welcome to
come to Prof. Koeppe's office hours. Hours are announced on the
faculty office hours
page and are subject to change.
- For other (administrative) questions, in particular questions
related to WeBWorK, contact the Lead TA: Naizhen Zhang.
- A valuable resource on campus is
Skills Center. It has math drop-in hours in which you can
receive help for Math 21B.
- At our Department of Mathematics, you will find Faculty advisors (for Math majors), Staff advisors, and Peer advisors ready to help you.
- The Math Cafe is
an informal math group which meets regularly. Although the focus is
on female students, everyone is welcome to attend.
No Make-Up Exams: There will be no make-up exams. A missed exam
counts as 0 points. If you miss the final you will automatically
receive an F.
- Lecture 1 (Monday, January 9): Introduction. Antiderivatives (section
- Lecture 2 (Wednesday, January 11): Area and estimating with finite sums (section 5.1).
- Lecture 3 (Friday, January 13): Sigma notation and limits of finite
sums (section 5.2).
- Lecture 4 (Wednesday, January 18): The definite integral (section 5.3).
- Lecture 5 (Friday, January 20): The Fundamental Theorem of Calculus (section 5.4).
- Lecture 6 (Monday, January 23): The Fundamental Theorem of Calculus (section 5.4).
- Lecture 7 (Wednesday, January 25): Indefinite integrals and the substitution method (section 5.5).
- Lecture 8 (Friday, January 27): Substitution and area between curves (section 5.6).
- Lecture 9 (Monday, January 30): Volumes using cross sections (section 6.1).
- Lecture 10 (Wednesday, February 1): Volumes using cross sections (section 6.1).
- Midterm 1 (Friday, February 3)
- Lecture 11 (Monday, February 6): Volumes using cylindrical shells (section 6.2) .
- Lecture 12 (Wednesday, February 8): Arc length (section 6.3).
Some material from "Parametrization of plane curves" (section 11.1).
- Lecture 13 (Friday, February 10): Areas of surfaces of revolution
- Lecture 14 (Monday, February 13): Areas of surfaces of revolution
(section 6.4). Some material from "Calculus with parametric curves"
- Lecture 15 (Wednesday, February 15): Moments and centers of mass (section 6.6).
- Lecture 16 (Friday, February 17): Moments and centers of mass
(section 6.6). Last topic relevant for midterm 2.
- Lecture 17 (Wednesday, February 22): Work and fluid forces (section 6.5).
- Midterm 2 (Friday, February 24)
- Lecture 18 (Monday, February 27): The logarithm defined as an integral (section 7.1).
- Lecture 19 (Wednesday, February 29): Exponential change and separable differential equations (section 7.2).
- Lecture 20 (Friday, March 2): Exponential change and separable differential equations (section 7.2).
- Lecture 21 (Monday, March 5): Integration by parts (section 8.1).
- Lecture 22 (Wednesday, March 7): Trigonometric integrals (section 8.2).
- Lecture 23 (Friday, March 9): Trigonometric substitutions (section 8.3).
- Lecture 24 (Monday, March 12): Integration of rational functions
by partial fractions (section 8.4). Last topic relevant for the final exam.
- Lecture 25 (Wednesday, March 14): Numeric integration (section 8.6).
- Lecture 26 (Friday, March 16): Improper integrals (section 8.7).
- Lecture 27 (Monday, March 19): Review session.