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.
MATH 0993 with a 'B' (MATH 1020 with a 'C', Math 12-Precalculus with a 'B', Math 12-Principles with a 'B', or Math Precalculus Test (MPT) with a B, or equivalent.
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Schedule †
MATH 1100 schedule for programs:
MUSD
NUSB
NUSD
UAAD
UPHS
USAD
USCC
UTAC
UTCS
UTEG
UTES
VRAR
Course dates and times may vary throughout the term. Select the CRN number below to see a full schedule.
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
Prior learning assessment and 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).
How do I apply for this course?
This course is offered as part of a VCC program only.
* Fees are approximate and subject to change. Students are required to pay any applicable fee increases. Fees listed are for domestic students. For international programs, visit VCC International.
† 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.
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