• Archana Receives the Donna B. Hamilton Award

    Archana Khurana has been selected to receive the Donna B. Hamilton Award for Excellence in Undergraduate Teaching in a General Education Course.  Awards are based solely on student nominations and are solicited from across campus.  From the many nominations received, the selection committee was very impressed by the student experience… Read More

  • Yanir Receives a Do Good Campus Fund Grant

    Yanir’s proposal on “Incorporating outreach into the curriculum via experiential learning” is one of the only 27 projects out of 140 submissions that were funded by the UMD Do Good Campus Fund. Read More

  • Congrats to 3 CMNS Students Named Goldwater Scholars

    Congratulations to UMD’s 3 Goldwater Scholars this year, all from CMNS: Junior physics and mathematics double-degree student Yash Anand Sophomore atmospheric and oceanic science and physics double-degree student Malcolm Maas Junior biological sciences and mathematics double-degree student Jerry Shen Over the last 15 years, UMD’s nominations yielded 49 scholarships—No. 2… Read More

  • Maria Cameron Receives the 2024 MURI Award

    Congratulations to Maria Cameron for her MURI award. MURI are multidisciplinary university research initiative grants that are awarded by the department of defense. Cameron’s grant is sponsored by the office of naval research. Her team includes Balakumar Balachandran (ME) and Miao Yu (ME). This is a project on “disorder-influenced collective… Read More

  • A $27.2M Gift to the Math Department by the Brin Family

    The university announced today a big gift to the Math Department. The very generous gift of $27.2M was made by Michael & Eugenia Brin. The gift will endow the Brin Mathematics Research Center, establish an endowed chair, and launch a summer camp for high school students. The official university’s press… Read More
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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

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