• 2022 Interdisciplinary Competition in Modeling (ICM) Results

    Congratulations to Radu Balan and to the UMD Math Modeling teams. The teams participated in the 2022 Interdisciplinary Competition in Modeling (ICM). This year 12100 teams participated in the ICM competition. The results of our two teams are: Team 2228337 (Sally Zhao, Naveen Raman, Clarissa Xia) has been awarded a Honorable Mention for Problem Read More
  • Joan Jian-Jian Ren Named as a Fellow of the IMS

    We are pleased to inform you that Joan Jian-Jian Ren was named as a Fellow of the IMS (Institute of Mathematical Statistics). Joan Jian-Jian Ren, Professor, University of Maryland - College Park, has been named Fellow of the Institute of Mathematical Statistics (IMS). Dr. Ren received the award for innovative and Read More
  • George Li named 2022 Goldwater Scholar

    Three University of Maryland undergraduates with strong records of published research have been awarded 2022 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. Patrick Kim, a junior physics and electrical engineering Read More
  • Bianca Viray receives 2022-2023 Birman Fellowship

    Bianca Viray, a professor at the University of Washington (UMD 2005), has been awarded the AMS Joan and Joseph Birman Fellowship for Women Scholars for the 2022–2023 academic year. The fellowship gives exceptionally talented women extra research support during their mid-career years. The primary selection criterion is the excellence of Read More
  • Congratulations to the Math Putnam Team

    Congratulations to the team under the leadership of Roohollah Ebrahimian. Our Putnam Team was ranked 20th out of 427 institutions this year. This is our fifth year in a row that we rank among top 20 teams in the Putnam competition. Our team members were Steppan Konoplev, Thomas Luo, and 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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