This course is designed to provide students with a fundamental knowledge of integral calculus. Topics include antidifferentiation; the definite integral; the fundamental theorem of calculus, areas and volumes; integration techniques; improper integrals; applications of the integral; slope fields; numerical approximations; linear differential equations and applications; polynomial approximations; Taylor series, power series and calculus with parametric curves and polar coordinates.
Prerequisites
MATH 1100 with a minimum 'C-' grade, or equivalent.
Missing prerequisites?
Learn more about VCC's academic upgrading or English as a Second Language (ESL) courses, or discover which university transfer options are right for you.
What you will learn
- The Integral: elementary area computations; Riemann sums and the integral; evaluation of integrals; the Fundamental Theorem of Calculus; integration by substitution; areas of plane regions; numerical integration
- Applications of the Integral: Riemann sum approximations; volumes by cross sections; volumes by cylindrical shells; arc length and surface area of revolution; force and work; average value of a function, centroids of plane regions and curves; hydrostatic pressure and force
- Techniques of Integration: integral tables and simple substitutions; integration by parts; trigonometric integrals; rational functions and partial fractions; trigonometric substitution; improper integrals
- Differential Equations: separable equations and applications; linear equations and applications
- Sequences and Series: infinite sequences; infinite series and convergence; the integral test; comparison tests for positive-term series; alternating series and absolute convergence; Taylor series and Taylor polynomials; radius and interval of convergence of power series; power series applications
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 | ||
|---|---|---|---|---|---|
| 41641 |
January 5, 2026 to April 22, 2026 |
Lecture Online Lab |
Varies | See full schedule |
Online courses listed without scheduled meeting times can be completed on your own schedule.
| CRN# | Duration | Delivery | Location | ||
|---|---|---|---|---|---|
| 41643 |
January 5, 2026 to April 22, 2026 |
Online Lecture Lab |
Varies | See full schedule |
Online courses listed without scheduled meeting times can be completed on your own schedule.
| CRN# | Duration | Delivery | Location | ||
|---|---|---|---|---|---|
| 61152 |
July 2, 2026 to August 21, 2026 |
Lecture | VCC Broadway Building B | See full schedule | Register |
Online courses listed without scheduled meeting times can be completed on your own schedule.
Contact us
If you have any question, please email at advising@vcc.ca.
Additional information
Math 1200 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.