Math 113 - College Algebra and Trigonometry

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)

Archives: F2011-S2012 F2012-S2013 F2013-S2014 F2014-S2015 F2015-S2016 F2016-S2017 F2017-S2018 F2018-S2019 F2019-S2020 F2020-S2021 F2021-S2022 F2022-S2023 F2023-S2024 

  • The Feynman-Lagerstrom criterion for boundary layers

    Speaker: Trinh Nguyen (Wisconsin)

    When: Thu, September 19, 2024 - 3:30pm
    Where: PHY 1201
  • Periodic homogenization of geometric equations without perturbed correctors

    Speaker: Jiwoong Jang (UMD)

    When: Thu, September 26, 2024 - 3:30pm
    Where: PHY 1201
  • Instantaneous continuous loss of regularity for the SQG equation

    Speaker: Wojciech Ozanski (FSU) 

    When: Thu, October 3, 2024 - 3:30pm
    Where: PHY 1201
  • Low regularity well-posedness of 2D capillary water waves

    Speaker: Lizhe Wan (University of Wisconsin-Madison) 

    When: Thu, October 17, 2024 - 3:30pm
    Where: PHY 1201
  • Rate of convergence in quasi-periodic homogenization of Hamilton-Jacobi equation

    Speaker: Son Tu (Michigan State)

    When: Thu, October 24, 2024 - 2:30pm
    Where: MATH 0401
  • Front propagation through a perforated wall

    Speaker: Hiroshi Matano (Meiji University)

    When: Thu, November 7, 2024 - 3:30pm
    Where: PHY 1201
  • Stochastic and deterministic moving boundary problems

    Speaker: Krutika Tawri (Berkeley) 

    When: Thu, November 14, 2024 - 3:30pm
    Where: PHY 1201
  • Global solutions to the obstacle problem

    Speaker: Alessio Figalli

    When: Thu, November 21, 2024 - 10:10am
    Where: MTH3206
  • Stability estimates in Sobolev type inequalities

    Speaker: Jean Dolbeault

    When: Thu, November 21, 2024 - 3:30pm
    Where: PHY 1201
  • Fully nonlinear equations in thin domains: a test function approach

    Speaker: Isabeau Birindelli (University of Rome I)

    When: Thu, December 5, 2024 - 3:30pm
    Where: PHY 1201
  • A new approach to regularity, well-posedness, and blow-up in the Boltzmann equation

    Speaker: Christopher Henderson (University of Arizona) - https://sites.google.com/view/ckhenderson

    When: Thu, January 30, 2025 - 3:30pm
    Where: Kirwan Hall 1313
  • Suppression of chemotactic singularity by some buoyancy-driven flows

    Speaker: Kevin Hu (Duke)

    When: Thu, March 27, 2025 - 3:30pm
    Where: MTH3206
  • Scalar balance laws with nonlocal singular sources

    Speaker: Khai Nguyen (NC State)

    When: Thu, April 3, 2025 - 3:30pm
    Where: MTH0307
  • The Euclidean Isoperimetric problem and its gradient flow: a phase transitions approach

    Speaker: Daniel Restrepo (John Hopkins)

    When: Thu, April 10, 2025 - 3:30pm
    Where: MTH3206
  • (Numerical Analysis Seminar) 𝐻² conforming virtual element discretization of nondivergence form elliptic equations

    Speaker: Guillaume Bonnet (Paris Dauphine)

    When: Thu, April 17, 2025 - 3:30pm
    Where: MTH3206
  • One-phase contact point dynamics in Hele-Shaw cells

    Speaker: Francisco Gancedo (IAS)

    When: Thu, April 24, 2025 - 3:30pm
    Where: MTH3206
  • Non-uniqueness for the Navier-Stokes equations from critical data

    Speaker: Stan Palasek (Princeton)

    When: Thu, May 1, 2025 - 3:30pm
    Where: MTH3206