#### Description

This is a second semester course in calculus with applications in biology and life sciences. Credit will be granted for only one of the following: MATH 131 or MATH 141 or MATH 221.

#### Prerequisites

Math 130 with a C- or better or Math140 with a C- or better

**Topics**

**Integration and Review**

FToC review and examples

Area between two curves, numerical integration (Trapezoidal and Simpson's)

Integration by parts, volume

Average value of a function, improper integrals

**Linear Algebra**

Definition of vectors and matrices

Systems of equations, multiplication of a matrix and a vector

Matrix addition, multiplication, identity matrix, invertible matrices

Linear maps and correspondence to matrix multiplication

Eigenvalues and eigenvectors

**Multivariable Calculus**

Functions of several variables, derivatives

Computing the derivative, derivatives

Optimization

Double integrals, use for volume under a function, iterated integrals

**Differential Equations**

Introduction and separable differential equations

First-order linear, Euler's method

Linear systems

Nonlinear systems, phase plane (single equilibrium point)

**Probability**

Discrete random variables

Continuous random variables, uniform distribution

Exponential and normal random variables

Central Limit Theorem

Inferential statistics

**Discrete Dynamics**

Inspiration and sequences

Equilibrium and stability, cobwebbing

Population models