• Two Math Faculty to Speak at ICM

    Congratulations to faculty members Pierre-Emmanuel Jabin and Xuhua He who have been selected as invited speakers at the International Congress of Mathematics in Rio de Read More
  • Promotions and New Faculty

    We are delighted to announce that faculty members Jacob Bedrossian, Maria Cameron, Amin Gholampour, and Christian Zickert have been promoted to the rank of Associate Read More
  • William E. Kirwan Distinguished Undergraduate Lectures

    Mathematics for Art Investigation: Mathematical tools for image analysis increasingly play a role in helping art historians and art conservators assess the state of conversation Read More
  • Upcoming Conferences

    We would like to draw your attention to several exciting conferences coming up in the Mathematics Department: The Spring Dynamics Conference, Friday, March 31 - Sunday, Read More
  • Putnam Exam

    We would like to congratulate the University Maryland team on their excellent performance on this year's William Lowell Putnam Mathematical Competition, the premier undergraduate math 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