• Doron Levy is elected 2024 Class of Fellows of the AMS

    Congratulations to Dr. Doron Levy, as Fellow of the American Mathematical Society, Class of 2024 (https://www.ams.org/cgi-bin/fellows/fellows_by_year.cgi)!  Dr. Levy was elected  ``For his contributions to Mathematical Oncology and Mathematical Biology".  Read More

  • Scott Wolpert to lead NSF-funded project on DEI in mathematics and statistics

    Congratulations to Scott Wolpert, professor emeritus of mathematics, who was named principal investigator of a new project to improve diversity, equity and inclusion in mathematics departments. The project is funded by a $600,000 grant from the NSF, and it will provide DEI training to six representatives of math and statistics departments… Read More

  • Abba Gumel Featured in Scientific American Article

    Congratulations to Abba Gumel being featured in a new Scientific American Article. The title is “How Mathematics Can Predict and Help Prevent the Next Pandemic” (link to the article). What a great advertisement to Maryland. It is a great honor to have Abba as our colleagues.   Congratulations Abba! Read More

  • Congratulations to Perrin Ruth and Elliot Kienzle

    Eighteen current students and recent alums of the University of Maryland’s College of Computer, Mathematical, and Natural Sciences (CMNS) received prestigious National Science Foundation (NSF) Graduate Research Fellowships, which recognize outstanding graduate students in science, technology, engineering, and mathematics. Across the university, 34 current students and recent alums were among the… Read More

  • Congrats to CMNS' Deven Bowman, 2023 Goldwater Scholar

    Congratulations to Deven Bowman, a junior physics and mathematics dual-degree student, who was named a 2023 Goldwater Scholar! Deven has done research with Eun-Suk Seo and Steve Rolston and studied abroad in Florence with Luis Orozco. This summer he’ll be at Caltech working on LIGO. And, fun fact, both of his parents… Read More
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Description

Continuation of MATH 140, including most topics from Chapters 6-10 in the same text as the MATH 140 text. Note: Credit will only be given for one of Math 141 and Math 121.

Prerequisites

MATH 140 with a C- or better, or Math130 with a B- or better.

Topics

COMPLEX NUMBERS AND SERIES:

Notes by M. Boyle (with exercises) in pdf format
Two page summary in pdf format
Notes by D.H. Hamilton (with exercises) in pdf format

SIMPSON'S AND TRAPEZOIDAL RULE PROGRAM, FOR:

TI-81
TI-82
TI-83
TI-85/86
TI-89

P-SERIES AND SUMMATION PROGRAM, FOR:

TI-81/82/83
TI-85/86
TI-89

Applications of the Integral

Volume
Length of a curve
Area of a surface
Work
Moments and centers of gravity
Parametrized curves, and lengths of curves given parametrically

Inverse Functions, l'Hôpital's Rule, and Differential Equations

Inverse functions
Exponential and logarithmic functions,
L'Hôpital's rule
Introduction to differential equations

Techniques of Integration

Techniques of integration, including integration by parts, trigonometric
substitutions, and partial fractions
Trapezoidal and Simpson's rules
Improper integrals

Sequences and Series

Sequences and convergence of sequences
Infinite series and convergence tests for series
Taylor polynomials and Taylor series
Complex numbers and series

Curves in the Plane

Polar coordinates, and length and area in polar coordinates

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