• Adam Kanigowski Awarded European Mathematical Society Prize

    He is the first member of UMD’s Department of Mathematics to receive this prestigious award for young mathematicians. The European Mathematical Society (EMS) awarded a 2024 EMS Prize to Adam Kanigowski, a Polish-born associate professor in the University of Maryland’s Department of Mathematics. Established in 1992, the prize is presented every four years to… Read More

  • Jonathan Poterjoy and Kayo Ide join new $6.6 million NOAA consortium

    Congratulations to AOSC's Jonathan Poterjoy and Kayo Ide (also of math and IPST) on joining a new NOAA consortium to improve the accuracy of weather forecasts.  Called CADRE, the $6.6 million initiative will focus on data assimilation, which uses observations to improve model predictions of natural systems, like Earth's atmosphere, over time.… Read More

  • Alfio Quarteroni receives the Blaise Pascal Medal in Mathematics

    Congratulations to Alfio Quarteroni for winning the 2024 Blaise Pascal Medal in Mathematics The message from the European Academy of Sciences reads: We are excited to announce that Professor Alfio Quarteroni has been awarded the esteemed 2024 Blaise Pascal Medal in Mathematics for his outstanding contributions to the field, particularly in… Read More

  • Archana Receives the Donna B. Hamilton Award

    Archana Khurana has been selected to receive the Donna B. Hamilton Award for Excellence in Undergraduate Teaching in a General Education Course.  Awards are based solely on student nominations and are solicited from across campus.  From the many nominations received, the selection committee was very impressed by the student experience… Read More

  • Yanir Receives a Do Good Campus Fund Grant

    Yanir’s proposal on “Incorporating outreach into the curriculum via experiential learning” is one of the only 27 projects out of 140 submissions that were funded by the UMD Do Good Campus Fund. 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)

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