MATHS 100 - Differential Calculus with Applications to Physical Sciences and Engineering
MATHS 180 - Differential Calculus with Physical Applications
Session 2014W Term 1, September - December 2014
- This is the common page for all sections of MATHS100 and MATHS180 except the Vantage College section.
- The instructor in charge is Andrew Rechnitzer and he apologises for the dull format of this page.
- This page gives course policies, the course outline, suggested homework problems, some old exams, other course information, and information on available resources.
- For section-specific information, please contact your instructor.
- Math vs Maths - look here, here or here.
Announcements
- November 20 - the deadline for homework assignment 11 has been changed to November 28th. This will give more time for L'Hôpitaling and means assignments 11 and 12 are both due that day.
- November 13 - the course outline has been updated. We have removed "Newton's method" and replaced it with "L'Hopital's rule."
- The papers and solutions for all ten second midterms can be found here (below the first midterms).
- Here are the practice midterm solutions.
- A small error in the solution to Q2a has been fixed - Oct 28 @ 6pm.
- A small error in the solution to Q3b has been fixed - Oct 30 @ 10pm.
- Q3b refers to the absolute error in the approximation.
- Here are notes on the trigonometry and geometry (areas and volumes) that we expect you to know. Note that the document is in 3 sections:
- What you should know,
- What you should be able to derive, and
- What you don't need to know but might find interesting.
Updates -
- A small error in "add and subtract angles" and another in "Thale's theorem" has been fixed - Oct 30.
- The second midterm is coming! Monday 3rd and Tuesday 4th November. Here is a practice midterm. Solutions are coming early next week.
Very useful links
Textbook
- Calculus, Early Transcendentals, 7th edition by James Stewart
- You may use an older edition of the text, however it is then your responsibility to translate any page, section or question numbers that your instructor refers to.
- The text has a companion website that helpful supplements to the text, including reviews of high-school
material.
Also look at these links - they aren't perfect but they are free
Other resources for getting help
- Ask your instructor after class
- Go to your instructor's office hours (before the midterms tends to be more useful than after)
- Go to the Maths Learning Centre which is located in the Leonard S. Klinck Building (LSK) Room 300.
- Tutors are available, at no charge, to answer questions on a drop-in basis.
- The services starts in the second week of classes and continues until the final exam.
- Times scheduled for Maths100 and 180 are available by clicking the link.
- AMS tutoring: The UBC student society provides an assortment of tutoring services.
- Mathematics Department website: There is much available under the Undergraduates tab, including recent final exams for most
undergraduate mathematics courses.
Maths 100 vs Maths 180
- Maths100 and 180 are very similar courses.
- They follow the same syllabus at the same level.
- Homework and midterms will be of the same standard across 100 and 180.
- All sections of Maths100 and Maths180 have the same final exam.
- The main difference is that Maths180 has a workshop component.
- More information here.
- See notes at the bottom of this page about AP and IB Calculus and also about Maths110.
Prerequisites and assessment - Maths100
- The prerequisites for Maths100 are
- (a) a grade of 80% or higher in BC Principles of Mathematics 12 (or equivalent) or
- (b) a score of 73% or higher in the BC provincial examination for Principles of Mathematics 12 or
- (c) a satisfactory score in the UBC Mathematics Basic Skills Test, and a passing grade in a high-school calculus course.
- Maths100 is a three-credit course, with three hours of lectures per week, for one term.
- Your Maths100 grade will be computed based on the following formula:
- Final Exam 50%
- 2 midterms 18% + 18% = 36%
- Course-common WeBWorK assignments 8%
- Other section-specific coursework (to be decided by your instructor) 6%.
- Note that your instructor may choose to distribute this final 6% to the midterms and WeBWorK.
- For example, your section may have final exam 50%, midterms 20% each, and WeBWorK 10%.
Prerequisites and assessment - Maths180
- The prerequisites for Maths180 are
- (a) a grade of 80% or higher in BC Principles of Mathematics 12 (or equivalent) or
- (b) a score of 73% or higher in the BC provincial examination for Principles of Mathematics 12 or
- (c) a satisfactory score in the UBC Mathematics Basic Skills Test, and a passing grade in a high-school calculus course.
- Maths180 is for students who meet prerequisite (a) or (b) or (c), and have not taken or passed a high-school calculus course.
- Maths180 is a four-credit course, with three hours of lectures and one 1.5-hour workshop per week, for one term.
- Your Maths180 grade will be computed based on the following formula:
- Final Exam 50%
- 2 midterms 15% + 15% = 30%
- Course-common WeBWorK assignments 8%
- Workshops 7%
- Other section-specific coursework (to be decided by your instructor) 5%.
- Note that your instructor may choose to distribute this final 5% to the midterms and WeBWorK.
- For example, your section may have final exam 50%, workshops 7%, midterms 16.5% each, and WeBWorK 10%.
Scaling of marks across sections of Maths100 and Maths180
- After the final exam has been marked, term marks (everything except the final exam) for each section may be scaled.
- If this does happen, then the term marks for each section are scaled so that the distribution of term marks is close to the distribution of final exam marks of that section.
- These adjusted term marks will be used to compute a student's final grade.
- This scaling is performed in order to ensure fairness across sections.
WeBWorK link and homework problems
- Maths100 and 180 use the WeBWorK online homework system.
- You access the system through THIS LINK.
- You access more directly by following the links in the section listings.
- You will need your CWL login and password to access the homework sets.
- This system has many advantages (including slightly randomising homework problems and providing you with instant feedback).
- Each week you will be assigned about 10 to 20 WeBWorK problems which will be due the following week.
- Assignment 0 will open before the first lecture
- It is designed to help you learn the WeBWorK system.
- Please start and complete it in the first week of classes - it will make the other assignments easier.
- It is not used for assessment - it does not count towards the WeBWorK component of your marks.
- All other assignments will be open from 1am on Thursday mornings and due 11pm on Friday night (1 week later).
- This gives you time to seek homework help before the weekend.
- It also means there is a small overlap between assignments.
- Please keep up to date!
- We also strongly recommend that you do some or all of the "suggested" homework problems that you can find here.
- Some sections may require you to hand in some of these WeBWorK and "suggested" problems or have quizzes based on them - that is up to the instructor of each individual section.
Midterm tests
- Midterm test 1 will be held on Monday 29th and Tuesday 30th September (in your normal lecture time)
- You will be expected to know the material from the first 3 weeks: sections 2.1 - 2.3, 2.5 - 2.8 and 3.1 - 3.3.
- Closer to the midterm we will give you a practice midterm.
- The papers and solutions for all ten first midterms can be found here.
- Midterm test 2 will be held on Monday 3rd and Tuesday 4th November (in your normal lecture time)
- You will be expected to know the material from (approximately) 3.4 - 3.10, Taylor polynomial (Course Notes section 1), and Taylor's formula with remainder (Course Notes section 2).
- Of course we also expect you to know the material covered by the first midterm
- Closer to the midterm we will give you a practice midterm.
- What you can bring to your tests and final exam
- You should bring your UBC ID, pens and pencils, and an eraser perhaps. You will need nothing else (nor are you allowed it).
- No calculators or other electronic devices
- No formula sheets or summaries
- And definitely no phones
- See "Course policies" below about what to do if you are unable to attend a midterm.
Final Exam
- The final exam will be held during the exam period - December 2 until December 17.
- It will cover the entire syllabus for the course.
- At this stage we do not know the precise date (which is annoying for you as it is for your lecturers). Hopefully we will know in mid-October.
- You should not plan any travel until the date of your exams are known.
- We will not organise a special exam for you just because the flight you booked leaves before the exam.
- See "Course policies" below about what to do if you are unable to attend the final exam.
Registration changes
- Individual Mathematics instructors do not have the authority to sign forms to change your registration (please don't ask them).
- Instead, the Mathematics Department handles all requests for registration changes centrally.
- See http://www.math.ubc.ca/Ugrad/ugradRegistration.shtml for information on how to change your maths course registration.
Course Policies
- Missing midterms:
- If a student misses a midterm, that student shall provide a documented excuse otherwise a mark of
zero will be entered for that midterm.
- Examples of valid excuses are an illness which has been documented by a physician and Student Health
Services, or an absence to play a varsity sport (your coach will provide you with a letter).
- A physician's note must specifically state that the student was medically unfit to write the missed exam on the date of the exam. Absence of this exact information will result in a mark of 0.
- Your instructor should be notified within 48 hours of such an absence and appropriate documentation should be produced within 7 days. Failure to comply with these time limits will result in a mark of zero.
- It is possible that if you are ill or absent your instructor may, at their discretion, arrange for you to take a midterm in another section - if your midterm is on a Monday it may be possible to sit on a Tuesday in a different section (and vice versa).
- Otherwise there will be no make-up midterms, and the weight of the missed midterm will be transferred to the final examination.
- Finally - Please note that a student may NOT have 100% of their assessment based on the final examination. A student who has not completed a substantial portion of the term work normally shall not be admitted to the final examination.
- Missing the Final Exam:
- You will need to present your situation to your faculty's Advising Office to be considered for a deferred exam.
- See the Calendar for detailed regulations .
- Your performance in a course up to the exam is taken into consideration in granting a deferred exam status (for instance, failing badly normally means you will not be granted a deferred exam).
- For deferred exams in mathematics, students generally sit the next available exam for the course they are taking, which could be several months after the original exam was scheduled.
Cheating
- UBC takes cheating incidents very seriously.
- After due investigation, students found guilty of cheating on tests and exams are usually given a final grade of 0 in the course, suspended from UBC for one year, and a notation made on their Transcript of Academic Record.
- More information.
AP and IB Calculus Scores
- If you have a score of 4 or 5 in AP Calculus AB, you can claim credit (without a grade) for Maths100 and continue with Maths101, Maths103, or Maths105 in Term 2.
- If you have an AP/AB score of 5, you are eligible for admission to a Maths121, honours integral calculus, in Term 2.
- A sufficiently high score on AP Calculus BC or IB Higher Level Mathematics also entitles you to claim credit for Maths 101.
- More information.
Maths110
- Maths110 is a 6-credit course that runs from September to April.
- Maths110 covers essentially the same calculus topics as Maths100 or Maths180,
and also includes a review of relevant precalculus topics.
- The Maths110 final exam is at a comparable level to the Maths100/180 final exam.
- More information.
- If you are currently registered in 100 or 180 and are already having serious difficulty in early September, you may wish to consider taking 110 instead.
- In that case you should change your registration by September 16 (contact the Mathematics Department if the online system does not let you into Maths110).