Course:  Math 10B

Title:  Calculus II

Lecture:  MWF 12:00--12:50pm in Center 105

Discussion Sections:
A01: Thursday 8:00--8:50 am, APM 2301 with Katherine Engelman
A02: Thursday 9:00--9:50 am, APM 2301 with Katherine Engelman
A03: Thursday 10:00--10:50 am, APM 2301 with Xiaohe Luo
A04: Thursday 11:00--11:50 am, APM 2301 with Xiaohe Luo

Contact Information and Office Hours:

Instructor: James Dilts    Email: jdilts AT ucsd DOT edu
Office Hours: M 8-9:30am, F 2-3:30pm in APM 5747

Teaching Assistant: Katherine Engelman    Email: kengelma AT ucsd DOT edu
Office Hours: MF 10-11am in APM 6436
Teaching Assistant: Xiaohe Luo    Email: xluo AT ucsd DOT edu
Office Hours: M 2-3pm, Tu 3-4pm in APM 5218

Credit Hours: 4 units

Prerequisite: AP Calculus AB score of 3, 4, or 5 (or equivalent AB subscore on BC exam), or Math 10A, or Math 20A.

Catalog Description: Integral calculus of functions of one variable, with applications. Antiderivatives, definite integrals, the Fundamental Theorem of Calculus, methods of integration, areas and volumes, separable differential equations. (No credit given if taken after or concurrent with Math 20B.)


  • Calculus: Single and Multivariable, 6th edition by Hughes-Hallett, et al. Reading is REQUIRED. We will not use WileyPlus for required homework problems in this class. 10C will likely require it, but you'd need, I think to purchase WileyPlus separately when you take it anyway. If you choose to purchase WileyPlus, it comes with a digital version of the book. When you do so, you can also optionally purchase a physical copy of the book for (relatively) cheap. If you buy a used copy of the book, it will probably not have the WileyPlus code, which you would then have to buy separately at full price if you needed it for a future course.
  • I-clicker 2: We will use these daily.

Course Outcomes: By the end of the course, you should be able to show understanding and mastery of the subject material

  • by performing calculations, including knowing which tools to use in which circumstances
  • by clearly explaining concepts, processes, definitions and theorems.
For this course, the main subject material is
  • Integrals (definition, idea, interprestation, antiderivatives, fundamental theorems, methods of integration, applications)
  • Differential equations (separation of variables, some applications, Euler's method)
  • Taylor polynomials

In addition, students should improve their ability to learn mathematics from a textbook and to explain mathematics to others.

I will focus my teaching, homework and tests on these subjects and outcomes.

How this course will be run: For your benefit, this course will not be run in a traditional lecture format. Here is how a usual pre-lecture, lecture and post-lecture will proceed.

  • Pre-lecture: You will read the sections to be covered for the lecture. Some tips for reading are below, and you are responsible for material in the assigned reading whether or not it is discussed in the lecture.

    By 11 am before lecture, you will complete a short reading quiz on TritonED. These quizzes will count as a small part of your grade and will have infinite tries. These questions are meant to be fairly easy, to check if you did the reading, and to find potential misunderstandings you have.

  • Lecture: In "lecture," I will discuss various important ideas from the sections, and will ask questions about and from the reading assignment. You will discuss these questions and ideas with other students. iClickers will be used for these questions, and will count for a small portion of your grade. The grade is 3/4 participation, and I will drop a few lectures worth.

    I may NOT cover the entire section. If you do not do the reading, the lecture may not cover everything you need to know, since I will assume that you have at least a cursory understanding of the material in the textbook.

  • Post-lecture: You will complete homework and discussion section problems on the material from class and the textbook.

Tips for reading:

  • Reading a math textbook is not like reading a history textbook. A quick read-through will do very little, if anything, for you. You need to understand each paragraph before continuing on. Your understanding will increase as you spend time thinking about what you read.
  • The language and terms used are important! An important part of learning the math is learning the terms used, their definitions, why those definitions were chosen, and the idea behind the terms. This is also incredibly important when trying to communicate and explain math. Language is a huge part of mathematical thinking.
  • Allow yourself plenty of time. When I read new math, I expect to spend an average of 15 minutes a page, though sometimes it can take much longer than that.
  • Remove distractions. Turn off your cell phone. Turn off your computer. Hide in the corner of the library. Even short distractions ruin your focus. Research shows that multitasking does not work, and, in fact, those who think they are better at it are actually worse at it.
  • If you continue to have difficulty understanding the material after spending time trying to read and understand it on your own, my office hours and the TAs' office hours are a good way to get additional help.

Discussion sections: Discussion sections will not be a time to ask questions about the homework, as they are in most classes. Instead, you will work in groups on assigned problems. Partly, this is to help prepare you for the homework. they will be run as follows:

  • You will be split, more or less at random, into groups of 3-4.
  • You will be assigned the roles of manager, skeptic and recorder. These roles will be explained on the assignment sheets.
  • You will work as a group on assigned problem(s) from sections we have covered in class on the previous Friday, Monday and Wednesday. Make sure you are prepared to contribute on that material.
  • Your group's answer for one of the questions will be written down and submitted to by the end of the section. (Bring your cellphone to submit, and make sure you add each person's name on Gradescope, not just the paper.) The first few will be graded by your TA so that you can learn the quality expected on an exam. After the first midterm, they will be graded (quickly) by the homework grader.
  • The grade is half participation (so 5 points out of 10). Thus, an answer that gets 7/10 points is of a quality that would get 2/5 points on an exam.
  • These assignments will be a small portion of your grade.

Additional resources:

  • There is free tutoring available in the basement of the Applied Physics and Mathematics (AP&M) building in room B402A. For hours, click this link.
  • There are Supplemental Instruction (SI) sessions for this class. Typically, SI sessions meet three times a week for fifty minutes. Students do not need to register for these. An email will be sent out on Wednesday with sessions times, and will (hopefully) be posted here.

Calculators: A calculator is not needed or expected for this class. If you use one, a TI-83 or TI-84 (or similar model) suffices for this course, as would any more powerful calculator (such as a TI-89). For most purposes, Wolfram Alpha will work just as well or better. The calculator should be used only as an aid in learning concepts, not just as a means of computation. Note: The use of calculators will not be permitted during exams.

iClicker: iClickers are required for this class. We will use them daily. Make sure to register your clicker on via tools => i>clicker Student Registration.

Gradescope: All standard homework assignments will be turned in via

  • Your login is your university email, and your password can be changed here. The same link can be used if you need to originally set your password.
  • Assignments should be in a single pdf file before being uploaded, or as a picture for each question.
  • Hand written files can be scanned to be uploaded. High resolution is not required. However, make sure your files are legible before submitting.
  • Most word processors can save files as a pdf.
  • There are many tools to combine pdfs, such as here.
  • All grading, including the midterms and final, will be done on Gradescope. Regrade requests must be sent via Gradescope.
  • If you have not yet been added to the course, the Gradescope entry code is 9ZXKN9.

Homework: Homework exercises will be assigned each Monday on the course homework page and they are due on the subsequent Monday by noon, i.e., before class. (Week 1 and 8 are different. See the calendar.) There will usually be three or four problems that you will turn in each week.

In addition to the required homework, I will give more suggested problems. These will not be turned in, but you should to do them if you want to succeed in the class. The graded problems will likely not be enough practice to be able to do the required calculations quickly enough for a test. These will be posted on the homework page.

Midterm Exams: There will be two midterm exams, one given on Monday, April 24th and the other on Monday, May 15th during class (see the course calendar). No calculators will be allowed during the midterm exams. You may bring one 3x5 notecard with as many notes as you can write onto it. Students will not be allowed to take makeup midterm exams. If you will miss an exam for an excellent reason, please contact me as soon as possible so that we can make arangements.

Final Exam: The final exam will be held at the following time:

  • 11:30am--2:29pm Wednesday, June 14th (See the course calendar.)
No calculators will be allowed during the midterms or during the final exam. You again get ONE 3x5 card.

Grading: Assignment grades will be posted on Gradescope and/or TritonED. Your term grade will be based on the scores of the homework, iClicker questions, discussion sections, two midterms and one final exam. Your term grade will be the highest of the following:

  • (5% iClicker) + (5% reading quizzes) + (5% discussions) + (20% HW) + (17.5% Midterm 1) + (17.5% Midterm 2) + (30% Final)
  • (5% iClicker) + (5% reading quizzes) + (5% discussions) + (20% HW) + (20% best Midterm) + (5% worst Midterm) + (40% Final)
I will not determine a curve until after the final exams have been graded. However, I generally curve the exams so that the class average for each is somewhere between 75 to 85%. As a warning, my raw test scores are often low, by design. Make sure to look at the class average before despairing.

Academic Dishonesty: Academic dishonesty is considered a serious offense at UCSD. Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university. It is in your best interest to maintain your academic integrity.

Accomodations: Students with special needs or disabilities must provide an Authorization for Accommodation (AFA) letter issued by the Office for Students with Disabilities (OSD) as soon as possible. Please call OSD at 858-534-4382 or visit for more information