This course is designed to provide students with a fundamental knowledge of differential calculus. Topics include the concepts of limit and continuity; rates of change; basic differentiation rules; derivatives of algebraic and transcendental functions; applied optimization problems; implicit differentiation and related rates; the mean value theorem; linear approximations; curve sketching; simple differential equations and models; antiderivatives; simple parametric equations and polar coordinates.
Prerequisites
Pre-Calculus 12 with a ‘B’ grade, or equivalent (completion within the last five years or concurrent registration in MATH 1001 is recommended); or Pre-Calculus 12 with a 'C' grade and concurrent registration in MATH 1001.
What you will learn
- Prelude to Calculus: tangent lines and slope predictors; limit concept; more limits; concept of continuity
- The Derivative: the derivative and rates of change; basic differentiation rules; chain rule; derivatives of algebraic functions; maxima and minima of functions; derivatives of trigonometric, exponential and logarithmic functions; implicit and logarithmic differentiation
- Applications of the Derivative: differentials and linear approximations; increasing and decreasing functions; mean value theorem; first derivative test and applications; curve sketching; higher derivatives and concavity; simple curve sketching and asymptotes; indeterminate forms and L'Hospital's rule; Newton's method; antiderivatives; optimization
- Differential Equations: simple equations and models
How to register
This course is offered as part of a VCC program only.
Course schedules
Select your program to see the available course schedules.
| CRN# | Duration | Delivery | Location | ||
|---|---|---|---|---|---|
| 71482 |
September 8, 2026 to December 17, 2026 |
Online Lecture |
Varies | See full schedule | Register |
| 71491 |
September 8, 2026 to December 17, 2026 |
Online Lecture |
Varies | See full schedule | Register |
Online courses listed without scheduled meeting times can be completed on your own schedule. All self-paced courses have on-campus tests. Off-site certified invigilation centres may be used at the student's expense.
Contact us
If you have any questions, please email at [email protected].
Additional information
Recognition – Math 1100 Challenge Exam with a C (not accepted for the UT Engineering Certificate or the UT Computer Science and Software Systems Certificate).
† This information is intended as a guideline only. Program and course details are subject to change with the approval of VCC's Board of Governors.