SOLUS is Queen’s Student On-Line University System. You’ll have access to a SOLUS account once you become a Queen’s student. You’ll use SOLUS to register for courses, add and drop courses, update your contact information, view financial and academic information, and pay your tuition.
Differential and Integral Calculus
Differentiation and integration with applications to physical and social sciences; differential equations; multivariable differential calculus.
This online calculus course covers differentiation and integration of the elementary functions, with applications to physical and social sciences; Taylor polynomials; multivariable differential calculus. It is intended for students planning to concentrate in subjects other than Biochemistry, Biology, Life Sciences, Mathematics or Statistics.
Please note that the following information is subject to change.
- Online Proficiency Test: 2% (for completion)
- Unit Self-Tests (Best 20 out of 24): 4%
- Participation in activities: 4%
- 6 WebWork Tests (5% each) – 30%
- Proctored Mid-Course Exam: 30%
- Proctored Final Exam: 30%
- If the exam mark in a term is higher than any written term test, the test mark will be replaced with the exam mark (applies to all tests with grades lower than the exam grade, not just the lowest).
- If a student misses a test without a valid reason, the mark for the test will remain a zero, regardless of exam performance. See Course Policy below.
- All tests are mandatory, and can only be missed through pre-arrangement, or due to illness/family emergency. Notification by email is required within 7 days of the missed test in the case of illness/family emergency.
- Missed tests (with appropriate notification) will not be re-taken; the 5% for the test will be added to the exam for the current term. Missed tests without a reason/notification will be given a grade of zero.
- In the tests and exam, no resources can be used, except those provided explicitly in the test.
- First violation on a test: zero on two tests, record with the Faculty.
- Second violation on a test or violation in the exam: zero for the course, communication with the Faculty.
Final and Midterm Examination
Midterm exam: The date and time will be scheduled during the Fall term final examination period between December 4-19, 2013. You will write your midterm exam at the same exam centre location as the final proctored exam.
The final exam will be held between April 10-26, 2014. The exam schedule will be determined approximately eight weeks before the start of the exam period.
Students must write their exam on the day and time scheduled by the University. The start time may vary slightly depending on the off-campus exam centre. Do not schedule vacations, appointments, etc., during the exam period.
This course will be delivered using a completely online approach using online course materials in Moodle and live/synchronous sessions in Elluminate Virtual Classroom.
Communication tools used in the course:
- Moodle Forums
- WebWork question feedback options
- Lectures will introduce the key ideas of the course, and will be used to work through introductory examples
- Assignments, along with solutions, will give you the chance to master the skills of the course
- Tutorials will be where tutors can provide additional examples, as well as the opportunity to get further clarification about the assignment problems.
- Tests are written during your tutorial times, 3 times per term. They will be based on the Test Preparation Problems from the Assignments.
After you complete this course you will be able to:
In Single Variable Differential Calculus:
- Select a function form or family of functions that have desired graphical and limit properties. (e.g. a function that starts at (0,0), has one peak, and then a horizontal asymptote at y=2)
- Have a toolkit of functions for describing relationships in application problems
- Express (verbally or through calculations or graphs) the meaning of limiting values in application problems.
- Calculate value of finite and infinite limits of continuous and discontinuous functions (with or without l'Hopital's rule), given a function
- Understand the tangent-slope and rate of change meanings of the derivative
- Understand the difference between various possible approximations to a function.
- Construct application models from word problems and use derivatives to investigate properties of the models.
- Use derivatives to locate and classify critical points in optimization problems.
- Use relationships between modeling variables to construct relationships between their rates of change.
- Use relationships between modeling variables to estimate the effects of changes of inputs or outputs
In Single Variable Integral Calculus:
- Understand the relationship between integration and area under a curve/rate graph
- Understand the graphical/area interpretation of integration and average value
- Construct application models from word problems and use integrals and/or derivatives to investigate properties of the models.
- Master core integration techniques.
- Understand properties related to the integral - average value, continuous anti-derivatives.
- Understand the issues involved with infinite intervals or asymptotic values in evaluating integrals.
- Construct differential equation models from word problems and use qualitative and algebraic methods to investigate properties of the models.
In Multivariate Differential Calculus:
- Demonstrate an understanding between graphical presentation and calculus concepts (1st, 2nd part. derivs, gradient, directional deriv) in multivariate functions.
- Construct application models from word problems involving multivariate functions, and use differential calculus to investigate properties of the model (related rates and optimization)
- Gradient and directional derivative
- Related rates
- Critical points and optimization
- Constrained optimization and Lagrange multipliers
Textbooks and Materials
CDS reserves the right to make changes to the required material list as received by the instructor before the course starts. Please refer to the Campus Bookstore website at http://www.campusbookstore.com/Textbooks/SearchEngine/ to obtain the most up-to-date list of required materials for this course before purchasing them.
Technology and Equipment Requirements
- Computer access with internet
- Firefox Internet Browser
- Adobe Acrobat
- Adobe Flash Player
- QuickTime Player
- Calculator - Casio 991
- Digital Camera or Scanner (used to electronically submit hand-written work)
- Calculus: Single and Multivariable, Fifth Edition – Hughes-Hallett
To complete the readings, assignments, and course activities, students can expect to spend, on average, about 16 - 20 hours per week on the course.
Moodle is Queen's online learning platform. You'll log into Moodle to access your course. All materials related to your course—notes, readings, videos, recordings, discussion forums, assignments, quizzes, groupwork, tutorials, and help—will be on the Moodle site.
About Credit Units
Queen’s courses are weighted in credit units. A typical one-term course is worth 3.0 units, and a typical two-term course is worth 6.0 units. You combine these units to create your degree. A general (three-year) BA requires a total of 90 credit units.
To take an online course, you’ll need a good-quality computer (Windows XP/Vista/7, Pentium III, or Mac OS X 10.5, G4 or G5 processor, 256 MB RAM) with a high-speed internet connection, soundcard, speakers, and microphone, and up-to-date versions of free software (Explorer/Firefox, Java, Flash, Adobe Reader). See also Preparing For Your Course.
The deadlines for new applications to Queen’s are 1 April (for May summer term), 1 June (for July summer term), 1 August (for fall term), and 1 December (for winter term). All documents must be received by the 15th of the month following the deadline. You can register for a course up to one week after the start of the course. See also Dates and Deadlines.
Tuition fees vary depending when you start, your year, faculty, and program. Fees for 2013-14 first-year Distance Career Arts & Science Canadian students are as follows: for a 3.0-unit course, $597.70; for a 6.0-unit course, $1195.40. See also Tuition and Payment.
All textbooks can be purchased at Queen’s Campus Bookstore.
All Queen’s Arts and Science Online courses are open to students at other universities. Before applying as a visiting student, request a Letter of Permission from your home university that states that you have permission to take the course and apply it to your degree. See also Apply.
Please see Queen’s policy statement on academic integrity for information on how to complete an online course honestly.