• 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
  • Congratulations to Putnam Exam Participants

    Congratulations to our Putnam Exam participants. The University of Maryland Putnam Team was ranked 15th among the 575 competing institutions in the highly competitive Putnam mathematics exam on December 2, 2017. Congratulations to Aaron George, who ranked 39th and Erik Metz who ranked 81st, and to Jason Zou, Justin Hontz Read More
  • Girls Talk Math

    Girls Talk Math is a two-week summer day camp hosted by the Department of Mathematics at the University of Maryland. The camp will occur weekdays July 9-20, 2018 from 9:00 am - 4:00 pm. Rising-9th to rising-12th grade students who attend high school within driving distance of the University can apply. Read More
  • James Owings and Adam Kleppner

    The mathematics department mourns the recent passing of two of our Professors Emerti: Jim Owings and Adam Kleppner. James Claggett Owings, Jr. received his PhD in recursion theory at Cornell in 1966, under the direction of Gerald Sacks.  For many years, Jim was one of the leaders of the Maryland Read More
  • Upcoming Conferences

    We would like to draw your attention to several exciting conferences coming up in the Mathematics Department: February Fourier Talks - Thursday, February 15 - Friday, February 16, 2018 Geometry Week - Monday, March 12 - Friday, March 16, 2018 Spring Dynamics Conference - Wednesday, April 4 - Sunday, April 8, 2018 Read More
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Prior to Fall 2013, MATH 113 did not include trigonometry

Description

MATH 113 - College Algebra and Trigonometry, is intended as a preparation for MATH 220, Elementary Calculus.

Prerequisites

Satisfactory score on Math Department placement exam or completion of the appropriate module of MATH 003.

Topics

Review

Radicals and rational exponents
Fractional expressions

Polynomial and Rational Functions

Linear equations and geometric sequences with mathematical modeling
Quadratic equations including quadratic formula and applications
Inequalities including linear, polynomial and rational inequalities
Graphs of equations including intercepts and symmetry
Cartesian plane, Lines in the plane (review) with applications
Functions with modeling
Graphs of functions, including translations and reflections
Combinations of functions including composition
Inverse functions
Quadratic functions (graphing and max-min problems)
Polynomial functions including graphing and the intermediate value theorem
Graphing rational functions with applications

Logarithmic and Exponential Functions

Definition, graph, models
Solving logarithmic and exponential equations
Application of exponential and logarithmic functions

Trigonometry

Angles, radians
Trigonometric functions, graphs
Trigonometric equations
Law of sines and Law of cosines

Material covered in MATH 113 in place of the above Trigonometry prior to Fall 2012:

Systems of equations in two or more variables
Substitutions
Elimination
Gauss-Jordan or Gaussian elimination
Systems of inequalities (in two variables)
Matrices and matrix operations
Sequences and summation notation (including arithmetic sequences and geometric sequences)

  • 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