#### 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, Math131, and Math 221.

#### Prerequisites

MATH 140 with a C- or better, or Math130 with a B- or better.

#### Topics

**COMPLEX NUMBERS AND SERIES:**

Notes by M. Boyle (with exercises) in pdf format

Two page summary in pdf format

Notes by D.H. Hamilton (with exercises) in pdf format

**SIMPSON'S AND TRAPEZOIDAL RULE PROGRAM, FOR:**

**P-SERIES AND SUMMATION PROGRAM, FOR:**

**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

**Inverse Functions, l'Hôpital's Rule, and Differential Equations**

Inverse functions

Exponential and logarithmic functions,

L'Hôpital's rule

Introduction to differential equations

**Techniques of Integration**

Techniques of integration, including integration by parts, trigonometric

substitutions, and partial fractions

Trapezoidal and Simpson's rules

Improper integrals

**Sequences and Series**

Sequences and convergence of sequences

Infinite series and convergence tests for series

Taylor polynomials and Taylor series

Complex numbers and series

**Curves in the Plane**

Polar coordinates, and length and area in polar coordinates