Calculus 1 (MATH 1100)
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.
Course code: MATH 1100
Credits: 3.0
Length: 60.0 hours
Course outline:
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https://www.vcc.ca/vccphp/courseoutline?subject=MATH&number=1100
Prerequisites
Both MATH 0983 and MATH 0993 with a minimum grade of ‘B’, or MATH 1020 with a minimum grade of ‘C’, or Precalculus 12 with a minimum grade of ‘B’, or Math Precalculus Test with a minimum score of 22 out of 30, or equivalent.
| CRN # | Dates | Day/Time/Location | Instructor |
|---|---|---|---|
| 42028 | January 6, 2025 to April 23, 2025 | See full schedule Delivery: Blended Location: Varies | Filali, Bilal |
| 61321 | May 5, 2025 to June 27, 2025 | See full schedule Delivery: In Person Location: VCC Broadway Building B | Daskalakis, Emmanouil |
Additional Information
- 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; applied optimization problems; derivatives of trigonometric functions and their inverses; exponential and logarithmic functions; implicit differentiation and related rates; successive approximations and Newton’s method.
- 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'Hopital's rule; more indeterminate forms
- Antiderivatives: antiderivatives and initial value problems
- Differential Equations: simple equations and models
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.