• Maria Cameron Receives the 2024 MURI Award

    Congratulations to Maria Cameron for her MURI award. MURI are multidisciplinary university research initiative grants that are awarded by the department of defense. Cameron’s grant is sponsored by the office of naval research. Her team includes Balakumar Balachandran (ME) and Miao Yu (ME). This is a project on “disorder-influenced collective Read More
  • A $27.2M Gift to the Math Department by the Brin Family

    The university announced today a big gift to the Math Department. The very generous gift of $27.2M was made by Michael & Eugenia Brin. The gift will endow the Brin Mathematics Research Center, establish an endowed chair, and launch a summer camp for high school students. The official university’s press Read More
  • 2023 Putnam Competition Result

    We very excited to report that our Putnam team ranked 8th, honorable mention, among 471 institutions in the 2023 Putnam math competition.Our team members this year were Vincent Trang, Daniel Yuan, Omar Habibullah, and Andrew Parker.Vincent Trang ranked 43rd and Daniel Yuan ranked 64th among 3,857 participants. Read More
  • Simons Fellows - Darvas, Kanigowski, Rubinstein

    Congratulations to Tamas Darvas, Adam Kanigowski, and Yanir Rubinstein for being named Simons Fellows. Read More
  • 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
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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

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