• 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

  • Maryland finishes fourth in the 2022 Putnam competition

     We are very excited to share the news that the University of Maryland Putnam team ranked fourth among 456 institutions in the 2022 Putnam Competition. This is the best result for our team in more than four decades. The first three teams are MIT, Harvard and Stanford. Our team members,… Read More
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Description

Introduction to calculus, including functions, limits, continuity, derivatives and applications of the derivative, sketching of graphs of functions, introduction to definite and indefinite integrals, and calculation of area. The course is especially recommended for science and mathematics majors. Credit will be granted for only one of the following: MATH 140 or MATH 136 or MATH 120.

Prerequisites

Permission of the department based on 3 1/2 years of college preparatory mathematics (including trigonometry) and either a satisfactory score on the mathematics placement examination or completion of Math 115 with a grade of C or better.

Topics

Chapter 1. Functions

Brief review of major topics in precalculus

Chapter 2. Limits and Continuity

Limits, one sided and infinite limits
Tangent lines and velocity
Continuity, the Intermediate Value Theorem, and the Bisection Method

Chapter 3. Derivatives

Derivatives, including the Chain Rule
Implicit differentiation
Related rates
Approximation of derivatives and the Newton-Raphson method

Chapter 4. Applications of the Derivative

Maximum and minimum values, and the Maximum-Minimum Theorem
Mean Value Theorem and its applications
Exponential growth and decay
Analysis of graphs of functions

Chapter 5. The Integral

Definite and indefinite integrals
The Fundamental Theorem of Calculus
Integration by substitution
Natural logarithmic function
Area

Chapter 10. Curves in the plane

Basic properties of parabolas, ellipses and hyperbolas

 

Calculator Programs

The course includes an introduction to a few numerical methods, such as Newton's Method for solving nonlinear equations and Riemann sums for approximating integrals. For such methods, it is convenient to use a computer or calculator. Programs for Riemann sums on a TI-83 or TI-84 calculator may be found here. Programs for Newton's method may be found here.

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