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.
Course code: MATH 1200
Credits: 3.0
Tuition: $0
Length: 60.0 hours
Course outline:
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https://www.vcc.ca/vccphp/courseoutline?subject=MATH&number=1200
Prerequisites
MATH 1100 with a minimum 'C-' grade.
No schedule is currently available. Please check again later.
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Schedule †
Course dates and times may vary throughout the term. Select the CRN number below to see a full schedule.
| CRN # | Dates |
Day/Time/Location |
Instructor |
| 72241 | September 3, 2024
to December 17, 2024 | See full schedule
Delivery: In Person
Location: Varies | Amiraslani, Amir |
| 42034 | January 6, 2025
to April 23, 2025 | See full schedule
Delivery: Blended
Location: Varies | Daskalakis, Emmanouil |
| 42036 | January 6, 2025
to April 23, 2025 | See full schedule
Delivery: Blended
Location: Varies | Daskalakis, Emmanouil |
Additional Information
- 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
Math 1200 Challenge Exam with a C (not accepted for the UT Engineering Certificate or the UT Computer Science and Software Systems Certificate).
* The amount shown is the approximate cost of tuition (for courses with tuition) or fees (for courses that do not have tuition).
Tuition and 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.
