This is a course webpage of

Integral Calculus with Applications to Physical Sciences and Engineering

Summer 2017, Monday, Thursday, Friday 4pm-6pm, Wed 4pm-5pm

Location: LSK 200

Table of contents.

  • Announcements.
  • General info about the course and course outline.
  • General policies.


All news concerning MATH101:951 may be found here. The most important news will be duplicated via e-mail to all registered students.

July 16, 2017

Additional office hours: Monday 1:30 pm - 2:30 pm in LSK300B.

Topics covered in quiz 2. Volumes, Integration by parts, Trigonometric integrals, Trigonometric substitution.

Note that while some techniques and methods, e.g., the substitution rule, are not listed here, you may need to use them to complete the evaluation of the integral. If topic is NOT included in the list above, it means that there will be NO question that specifically tests this topic.

Number of questions. There will be 1 iClicker question (1 mark), 4 short-answered questions 3 marks each (this time, you can get partial marks, but you also need to show your solution), 2 long-answered questions. The first long-answered question values 8 marks, and the second one contains part a (3 marks) and part b (6 marks).

Additional suggestions for review. You will be asked to compute values of trigonometric and inverse trigonometric functions, so you may want to review the table of values. Trigonometric identities will be also used. In questions concerning volumes, you will be asked to sketch curves.

July 13, 2017

How do you like the course so far? What features of your lectures do you enjoy and what would you like to change? Please take 5-10min and reply here: Mid-term survey. The survey is fully anonymous. The goal of the survey is to collect your feedback about the course. The results will help me to determine what to keep and where I need to improve my skills/technique. Thanks to everybody who takes the survey.

July 10, 2017

Quiz 1 will be on Wednesday, July 12th at 4:00pm-4:50pm. Topics for quiz: area under the curve, Riemann sums, definite and indefinite integrals, properties of the definite integrals, the Fundamental Theorem of Calculus (including the version known as the net change theorem), substitution rule for the definite and indefinite integrals, and area between curves.

You should be able to reproduce the exact statement of all theorems that we covered in class. You may also want to review the table of values for trigonometric functions and graphs of trigonometric functions.

No aids are allowed during the quiz. It includes cell phones, calculators, and outside sheets of paper.

No after class questions until 4:55pm on Wednesdays. If you are done earlier, you are free to leave, but please refrain from talking until the end of the quiz -- other students may still be working on it.

Please don't forget to register your iClicker before Wednesday -- anonymous iClicker's votes will not be counted towards the grade even if you show me the iClicker's individual number after the class.

July 4, 2017

The course description, grading scheme, and the course outline may be found here in pdf-format.

You DO need iClickers for this course. Please bring them to each lecture.

This course has a Piazza webpage. If you are registered to the course, you will receive an invitation to join the Piazza on Tuesday July 4th. If you join this course later, please go to the MATH101 Piazza webpage.

Please download and print the skeleton notes for each lecture. Please read here what the skeleton notes are.

General info about the course and course outline.

The course textbook is "Integral calculus notes for mathematics 101" written by two UBC professors Dr. Joel Feldman and Dr. Andrew Rechnitzer. It may be found here. The textbook is optional, and you may also use alternative textbooks that are listed here. Moreover, if you already have a different textbook that you like, feel free to use it in addition to the course textbook. Please note that not all textbooks contain all the materials that are covered in the course.

Please print the skeleton notes for each lecture and don't forget to bring the iClicker to each class. Lecture notes, skeleton notes, and iClicker questions may be found here . Note that the skeleton notes will appear before 8am at the day of each lecture, but full lecture notes and iClicker questions will be posted after the class only. The webpage will be updated as we progress througout the course. Despite full lecture notes will be posted online, you are strongly recommended you to write down your own lecture notes during the class.

WeBWorK assignments can be accessed here (link currently does not work!). Quizzes will occur every Wednesday except week 1 (July 12th, July 19th, July 26th, August 2nd, and August 9th) and are 50 minutes long. Please bring your iClicker to the quiz -- one question will be an iClicker question.

Do practice more by solving suggested problems! Solving WeBWorK problems is not enough to succeed in the course. The full list of suggested problems is published here (link currently doesn't work) and the suggested problems for each week may be found at the end of the learning goals files. Learning goals for each class are published here.

Have a question? Don't be shy and ask it on the Piazza. The page is here. This resource is meant to be for discussions! If you have a question about the concept or you are looking for a study buddy, where is the classroom located or when is the final exam, please post your question on Piazza. You can post it anonymously! The other option is to e-mail me at My_Last_Name{ at ]

Also don't be shy to answer questions on Piazza. Explaining math to other people improves your communication skills in scientific area and deepens your understanding of the course material. I will do my best to check the page often, but answering other students questions will speed up the process.

Office hours are WedThu 2:00pm-3:00pm at LSK300C or by appointment.

Lecture notes may be found here.

General policies.

Missed WeBWorK assignments.

All five WeBWorK assignments will be counted equally (regardless of which assignments have more or fewer problems), except that the lowest score will automatically be dropped. If you have an illness or other circumstance that prevents you from completing one of the WeBWorK assignments, don't worry - you don't have to do anything, and your grade will not suffer, since that assignment will just be dropped. (You should still complete the problems later, though, since the purpose of the WeBWorK assignments is to give you practice on the types of problems that will appear on the exams.)

If you have a valid excuse for missing more than one WeBWorK assignment, you should follow the procedures under "Missed quizzes" below.

Missed quizzes.

If you miss a quiz, you will need to provide a documented excuse to your instructor. Examples of valid excuses are an illness which has been documented by a physician or Student Health Service, or an absence to play a varsity sport (in which case your coach will provide you with a letter to give to your instructor). Your instructor must be notified within 48 hours of such an absence, and appropriate documentation must be produced within 7 days of the absence. Failure to comply with these time limits, or failure to provide a documented excuse, will result in a mark of 0 for that quiz.

A physician's note must specifically state that the student was medically unfit to write the missed quiz on the corresponding date. It must also include a phone number where the physician can be reached. Absence of this exact information, or illegible information, will result in a mark of 0 for that quiz.

If you miss a quiz due to a death in your family, you should go to your program's advising office (in Science or Engineering or Arts, for example) and obtain a Letter of Consideration or similar documentation. (This documentation is in your best interests as well, in case the repercussions of the traumatic event extended for longer than you had expected.) You are also encouraged to visit UBC Student Health Services or Counselling Services (or your own health care provider).

There will be no make-up quizzes; if you have a documented excuse for missing a quiz, your quiz average will simply be computed from the remaining quizzes.

If a student has more than one missed quiz with documented excuses, the formula for computing their overall grade may be modified to put more weight on the final exam and less weight on the quizzes. In no circumstance, however, can a student have 100% of their assessment based on the final examination. A student who has not completed a substantial portion of the term work (for example, a student who misses most quizzes) will not be admitted to the final examination.

Missed final exam.

The UBC calendar has detailed regulations on illness, academic concessions, and deferred standing. If you miss the final exam, you will need to present your situation to the advising office for your faculty (for example, the Faculty of Science) to be considered for deferred standing. You must do so within 48 hours of the missed final exam.

Your performance in a course up to the exam is taken into consideration in granting a deferred exam status (for example, failing badly generally means you won't be granted a deferred exam). In Mathematics, generally students sit the next available exam for the course they are taking, which could be several months after the original exam was scheduled.

Academic misconduct (cheating).

Academic misconduct includes any attempt to circumvent the rules put in place by the university and your course instructors to ensure fairness of evaluation for all students. Your instructors make significant efforts to deter and detect cheating, precisely because we want all students to be evaluated equitably and without unfair advantage. Your instructor, by default, absolutely desires your success in the course and will be thrilled when you do succeed; however, attempting to cheat will definitely remove your instructor from among your supporters.

There are severe penalties for acadmic misconduct, which of course you will want to avoid. Moreover, looking for ways to avoid thinking hard about homework or quiz problems is actually throwing away opportunities that are specifically designed to give you practice for the important final exam. However, the most important reason not to attempt to cheat in your courses is because you are an ethical adult: you are aware that cheating disadvantages every other student in the course, and you choose not to do so because you personally have morals. It is your responsibility, as an ethical adult, to make yourself aware of UBC's academic misconduct policies and to understand the difference between honourable and dishonourable behavior.

UBC takes academic misconduct incidents very seriously. After due investigation, students found guilty of cheating on tests and examinations (for example) can be given a final grade of 0 in the course and suspended from UBC for one year.

Examples of academic misconduct include:

  • cheating on quizzes or exams, by using prohibited aids or collaborating with other students (for example);
  • representing another student's work on homework assignments as your own;
  • altering a quiz paper and requesting a regrade;
  • misrepresenting a medical excuse or other personal situation, for the purposes of postponing an examination or quiz or otherwise obtaining an academic concession.