• Four Science Terps Awarded 2025 Goldwater Scholarships

    Four undergraduates in the University of Maryland’s College of Computer, Mathematical, and Natural Sciences (CMNS) have been awarded 2025 scholarships by the Barry Goldwater Scholarship and Excellence in Education Foundation, which encourages students to pursue advanced study and research careers in the sciences, engineering and mathematics.  Over the last 16 years, UMD’s nominations… Read More

  • Announcing the Winners of the Frontiers of Science Awards

    Congratulations to our colleagues who won the 2025 Frontiers of Science Award: - Dan Cristofaro-Gardiner, for his join paper with Humbler and Seyfaddini: “Proof of the simplicity conjecture”, Annals of Mathematics 2024. - Dima Dolgopyat & Adam Kanigowski, for their joint paper with Federico Rodriguez Hertz: “Exponential mixing implies Bernoulli”, Annals of Mathematics… Read More

  • 2024 Putnam Results

    We are very excited to report that our MAryland Putnam team ranked 7th among 477 institutions that participated in the 2024 Putnam math competition. Our team members this year were Daniel Yuan, Isaac Mammel, and Clarence Lam. Daniel Yuan ranked 26th among 3,988 participants. Clarence Lam and Isaac Mammel were recognized for… Read More

  • From Math Olympiads to Diplomacy: Meet Visiting Math Professor Qendrim Gashi

    Maryland Global, published a great interview with our visiting professor (and diplomat), Qendrim Gashi. The interview is available at https://marylandglobal.umd.edu/about/news/math-olympiads-diplomacy-meet-visiting-math-professor-qendrim-gashi Read More

  • Eugenia Brin, Longtime Supporter of Science and Performing Arts at UMD, Dies

    Eugenia Brin, a Russian immigrant and retired NASA scientist who, with her family of accomplished Terps, became an important benefactor of the University of Maryland, died on Dec. 3, 2024. She was 76 years old. The rest of the article can be read here: https://cmns.umd.edu/news-events/news/eugenia-brin-1948-2024 Read More
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Description

The second semester of an introduction to calculus for students in the biological, social and management sciences, and architecture. Applications of calculus to these disciplines form an important part of the course. Concrete calculations are emphasized and provide an opportunity to practice algebraic skills introduced in earlier courses. Credit will only be given for one of Math 141, Math131, and Math 221.

Prerequisites

MATH 220 or MATH 140 or MATH 130

Topics

Trigonometric Functions

Radian measure of angles
Sine and cosine and their derivatives
Other trigonometric functions

Techniques of integration

Substitution
Integration by parts
Evaluating definite integrals
Approximations of definite integrals
Improper integrals
Applications of integration

Infinite Series

Taylor polynomials
Geometric series
Taylor series
Newton-Raphson Algorithm

Differential Equations

Separation of variables
Numerical solutions
Qualitative theory
Applications

Probability

Random variables
Expected value and variance
Exponential and normal random variables
Poisson and geometric random variables

Some computer work may be included in the course.

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