MATH 131 (Calculus II for the Life Sciences)
| DESCRIPTION |
This is a second semester course in calculus with applications in
biology and life sciences. |
| PREREQUISITES |
Math 130 |
| 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
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| TEXT |
Text(s)
typically used in this course. |
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