vcc.ca
MATH 1100: Calculus 1
Effective date
January 2027
Department
UT Math
School
Arts and Sciences
Description
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.
Credits
3.0
Year of study
1st Year Post-secondary
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.
Corequisites
None
Course Learning Outcomes
Upon successful completion of this course, students will be able to:
- Evaluate limits of functions analytically, graphically and numerically
- Determine continuity of polynomial and transcendental functions
- Apply the Intermediate Value Theorem in solving applied problems
- Compute derivatives and antiderivatives of functions
- Solve applied optimization (max/min) problems
- Apply L'Hospital's Rule to study the behaviour of functions
- Estimate function values utilizing linear approximations
- Derive general solutions of simple differential equations and find particular solutions satisfying initial conditions
- Derive differential equations which explain mathematical models in the applied sciences
Prior Learning Assessment & Recognition (PLAR)
Recognition - Math 1100 Challenge Exam with a C (not accepted for the UT Engineering Certificate or the UT Computer Science and Software Systems Certificate).
Hours
Lecture, Online, Seminar, Tutorial: 60
Total Hours: 60
Total Hours: 60
Instructional Strategies
Lectures coupled with computer lab exercises
Grading System
Letter Grade (A-F)
Passing grade
D
Evaluation Plan
|
Type |
Percentage |
Assessment activity |
|
Assignments |
30 |
|
|
Midterm Exam |
35 |
Written, multipe choice, short answer, problems |
|
Final Exam |
35 |
Written, multiple choice, short answer, problems |
Course topics
- 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
Notes:
- Course contents and descriptions, offerings and schedules are subject to change without notice.
- Students are required to follow all College policies including ones that govern their educational experience at VCC. Policies are available on the VCC website at:
https://www.vcc.ca/about/governance--policies/policies/. - To find out if there are existing transfer agreements for this course, visit the BC Transfer Guide at https://www.bctransferguide.ca.