| DESCRIPTION | Continuation of MATH 140, including most topics from Chapters
6-10 in the same text as the MATH 140 text. Note: Credit
will only be given for one of
Math
141 and Math 221. |
| PREREQUISITES | MATH 140 or equivalent. |
| TOPICS | VI. Applications of the Integral Volume Length of a curve Area of a surface Work Moments and centers of gravity Parametrized curves, and lengths of curves given parametrically VII. Inverse Functions, l'Hôpital's Rule, and Differential Equations Inverse functions Exponential and logarithmic functions, L'Hôpital's rule Introduction to differential equations VIII. Techniques of Integration Techniques of integration, including integration by parts, trigonometric substitutions, and partial fractions Trapezoidal and Simpson's rules Improper integrals IX. Sequences and Series Sequences and convergence of sequences Infinite series and convergence tests for series Taylor polynomials and Taylor series Complex numbers and series X. Curves in the Plane. Polar coordinates, and length and area in polar coordinates |
| TEXT | Text(s)
typically used in this course. [Note: Typically the course would cover Chapters 6-10 in the 6th edition of Ellis and Gulick, except 6.6, 7.4, 8.5, 9.10, and 10.3-5, along with the material in the complex variables handout on the Math 141 course page.] |