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