• Mapping the Mind

    Junior computer science and mathematics double major Brooke Guo analyzes neural connections to understand the causes of complex brain conditions like schizophrenia.  When Brooke Guo arrived at the University of Maryland as a freshman in 2022, she knew she wanted to help people and work in a health-related field someday. Read More
  • Four Science Terps Awarded 2025 Goldwater Scholarships

    Four undergraduates in the University of Maryland’s College of Computer, Mathematical, and Natural Sciences (CMNS) have been awarded 2025 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.  Over the last 16 years, UMD’s nominations Read More
  • Announcing the Winners of the Frontiers of Science Awards

    Congratulations to our colleagues who won the 2025 Frontiers of Science Award: - Dan Cristofaro-Gardiner, for his join paper with Humbler and Seyfaddini: “Proof of the simplicity conjecture”, Annals of Mathematics 2024. - Dima Dolgopyat & Adam Kanigowski, for their joint paper with Federico Rodriguez Hertz: “Exponential mixing implies Bernoulli”, Annals of Mathematics Read More
  • 2024 Putnam Results

    We are very excited to report that our MAryland Putnam team ranked 7th among 477 institutions that participated in the 2024 Putnam math competition. Our team members this year were Daniel Yuan, Isaac Mammel, and Clarence Lam. Daniel Yuan ranked 26th among 3,988 participants. Clarence Lam and Isaac Mammel were recognized for Read More
  • From Math Olympiads to Diplomacy: Meet Visiting Math Professor Qendrim Gashi

    Maryland Global, published a great interview with our visiting professor (and diplomat), Qendrim Gashi. The interview is available at https://marylandglobal.umd.edu/about/news/math-olympiads-diplomacy-meet-visiting-math-professor-qendrim-gashi Read More
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Prerequisite:

1 course with a minimum grade of C- from (MATH112, MATH113, MATH115). Or must have math eligibility of MATH120 or higher; and math eligibility is based on the Math Placement Test.

Restriction:

Not open to students majoring in mathematics, engineering, the biological sciences, biochemistry, chemistry, or the physical sciences.

Formerly: MATH 220.

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 to probability

Functions of Several Variables

Partial derivatives 
Max-Min 
*Lagrange multipliers 
*Least squares

 

* = optional

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