Catalog Description: Analytic and numerical methods of integration; interpretations and applications of integration; differential equations models and elementary solution techniques; phase planes; Taylor series and Fourier series. Intended for CEAS majors. Not for credit in addition to MAT 127 or 132 or 142 or 171.
Prerequisites: AMS 151 or MAT 131 or MAT 126.
3 credits
Text: Calculus, by D. Hughes-Hallett et al., 4th edition, John Wiley & Sons
Fall 2009 Section
94527 LEC 01 TUTH 12:50-02:10PM Loc: Physics P118 Inst: Alan Tucker AMS 161 website
Spring 2010 Section
52477 LEC 01 TUTH 12:50-02:10PM Loc: Physics P118 Inst: Alan Tucker
Topics
1. Concepts on Integration and Methods of Integration: substitution, integration by parts, volume problems, approximating integrals with Riemann sums, improper integrals - 10 hours
2.
Applications of the Integral: volume and other geometric applications, parametric curves, arc lengths; probability; economic interpretations - 6 hours
3.
Elements of Differential Equations: slope fields, Euler's method, applications and modeling - 7 hours
4. Systems of first-order differential equations and second-order differential equations, including solutions involving complex numbers - 8 hours.
5. A
pproximations and series: Taylor series, Fourier polynomials - 5 hours
6. Review and Tests - 6 hours