• Alumna Embraces Student-centered Teaching During the Pandemic

    Mathematics graduate taught Algebra II virtually while completing teaching certificate program Teaching Algebra II virtually to more than 80 high school students in the middle of a pandemic sounded daunting to Lekha Tantry (B.S. ’20, mathematics; M.Ed. ’21) at first, especially because she was simultaneously completing her master’s certification program at Read More
  • Seven Faculty Members Promoted this Year

    Congratulations to all the faculty who have been promoted this year. We have had 7 people promoted to Senior Lecturer, Associate, and Full Professor. Their years in academic and work experiences bring expertise and relevance to instruction for our department. Please join us in  congratulating these faculty members on their promotion. Full Read More
  • MCM/ICM 2021 -- Modeling Competition Results

    We are pleased to announce the results of the 2021 Mathematical Contest in Modeling (MCM) and the Interdisciplinary Contest in Modeling (ICM) – the MCM/ICM International Competition. Our university was represented by two teams. Both teams did a great job this year and they were awarded a Meritorious award and a Read More
  • 2021 Undergraduate Researchers of the Year

    Congratulations to Tyler Hoffman (Math) and Jesse Mathews (Chemical Engineering & Math) for being selected as Maryland’s “Undergraduate Researchers of the Year” for 2021. Read More
  • Alum Victor De Oliveira elected Fellow of American Statistical Association

    Alumnus Victor De Oliveira (Math Ph.D. 1997) has been elected a Fellow of the American Statistical Association. Fellows are chosen on the basis of their established reputations and outstanding contributions to statistical science. De Oliveira is a professor in the Department of Management Science and Statistics at the University of Read More
  • 1
  • 2
  • 3
  • 4
  • 5

Description

MATH 115 is a preparation for Calculus, either MATH 220 (for which Math 113 is an alternate prerequisite) or MATH 140, with a focus on functions and graphs and algebraic techniques preparatory to calculus. The functions studied include polynomials, rational functions, exponential and logarithmic functions, and trigonometric functions.

(A graphing calculator such as the TI- 83, is required for Math 115. It is used in exploring the graphs of functions and equations and in solving problems.)

Prerequisites

Satisfactory score on Math Department placement exam, completion of the appropriate module of MATH 003, or completion of Math 113.

Topics

Algebra

Inequalities
Absolute value inequalities
Table of signs for polynomial and rational inequalities

Functions

Domain
Operations including compositions
Inverses
Graphs
Symmetry
Transformations: Shifts, reflections, stretching and shrinking

Quadratic functions and equations

Applications involving quadratic equations
Parabolas
Extreme value problems
Quadratic related equations including radical equations

Polynomials

Shape of graph
Writing polynomial functions with specific properties
Using a graphing calculator to draw complete graphs

Rational functions

Finding intercepts and asymptotes
Graphing with and without calculator

Conic sections

Standard equations for parabolas, circles, ellipses, and hyperbolas, shifts of conic sections
(if time allows)

Exponential and Logarithmic functions

Definition
Graphs
Exponent rules
Laws of logarithms
Exponential and logarithmic equations
Exponential growth and decay

Trigonometry

Angles
Radian and degree measurement of angles
Arc length and angular speed

Trigonometric functions

Circle, point, and right-triangle definitions of functions
Graphs of trig functions
Sinusoidal graphs

Solving triangles

Right triangles
Law of Cosines
Law of Sines

Trigonometric identities

Reciprocal identities
Pythagorean identities
Negative-angle identities
Periodicity identities
Sine and cosine addition and subtraction identities
Double-angle identities
Power-reducing identities

Trigonometric equations

Finding algebraic solutions
Finding calculator solutions

  • 1
  • 2
  • 3
  • 4