• Distinguished Lectures in Geometric Analysis

    The second in our series of Distinguished Lectures in Geometric Analysis will be given on October 31 and November 2, 2018, by Professor Bo Berndtsson from Chalmers University of Technology in Sweden.  The topic will be Complex Brunn-Minkowski theory. Read More
  • College Welcomes 19 New Faculty Members this Fall

    The College of Computer, Mathematical, and Natural Sciences welcomed 19 new tenured/tenure-track faculty members to the University of Maryland this fall. The brief introductions to the new faculty members can be read on CMNS website. Read More
  • In memory of our colleague David C. Lay

    Our long-time colleague Professor Eneritus David Lay passed away October 12, 2018. David earned his BA at Aurora College in 1962, and his PhD at UCLA in 1966. He then came to Maryland where he rose through the ranks to Professor in 1977. A gifted teacher, he won the campus Read More
  • The Canadian Journal of Statistics Award 2018, to Victor de Oliveira and Benjamin Kedem

    The Canadian Journal of Statistics Award is presented each year by the Statistical Society of Canada to the author(s) of an article published in the journal, in recognition of the outstanding quality of the methodological innovation and presentation. This year’s winner is the article entitled “Bayesian analysis of a density ratio Read More
  • Outstanding Director of Graduate Studies Award

    Professor Konstantina Trivisa has been selected for the Outstanding Director of Graduate Studies (DGS) Award for 2018.  Directors of Graduate Studies are critical partners of the Graduate School in shaping graduate education and ensuring the success of graduate students.  The Outstanding Director of Graduate Studies Award recognizes exceptional contributions made Read More
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Description

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 140 and Math 220.

Prerequisites

MATH 112 or MATH 113 or MATH 115 or satisfactory score on the Math Department placement exam.

Topics

The Derivative

Slopes
Derivatives
Rules for differentiation
Rate of change

Applications of the Derivative

Graphs and relation with derivatives
Curve sketching
Optimization problems

Techniques of Differentiation

Product rule
Quotient rule
Chain rule

The Exponential and Logarithm Functions

Definitions and properties of exponential function
Definitions and properties of natural log
Derivatives of log and exponential functions

Applications of the Exponential and Logarithm Functions

Exponential growth and decay
Compound interest

Integration

Antidifferentiation,
Area
Approximation by Riemann sums
The fundamental theorem of calculus
Applications of the definite integral

Functions of Several Variables

Partial derivatives
Max-Min
Lagrange multipliers
Least squares

  • William E. Kirwan Hall, home of the Mathematics Department

    William E. Kirwan Hall, home of the Mathematics Department

  • The Experimental Geometry Lab explores the structure of low dimensional space

    The Experimental Geometry Lab explores the structure of low dimensional space

  • Maryland mathematicians help to investigate the inner workings of E_8

    Maryland mathematicians help to investigate the inner workings of E_8

  • Hyperbolic Space Tiled with Dodecahedra

    Hyperbolic Space Tiled with Dodecahedra

  • Isotropoic Gaussian random field with Matern correlation

    Isotropoic Gaussian random field with Matern correlation

  • Part of the proof of the Peter-Weyl theorem

    Part of the proof of the Peter-Weyl theorem