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.
Prerequisite: MATH 1100 with a C-
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
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
Prior learning assessment and recognition (PLAR)
Math 1200 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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