Calculus 2 (MATH 1200)
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
Length: 60.0 hours
Course outline:
view
https://www.vcc.ca/vccphp/courseoutline?subject=MATH&number=1200
Prerequisites
MATH 1100 with a minimum 'C-' grade.
| CRN # | Dates | Day/Time/Location |
|---|---|---|
| 42034 | January 6, 2025 to April 23, 2025 | See full schedule Delivery: Blended Location: Varies |
| 42036 | January 6, 2025 to April 23, 2025 | See full schedule Delivery: Blended Location: Varies |
| 61344 | July 2, 2025 to August 22, 2025 | See full schedule Delivery: In Person Location: VCC Broadway Building B |
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).
† 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.