Anne Arundel Community College

MAT 121: Algebra & Trigonometry



CATALOG DESCRIPTION:

Primarily for students in business career programs. The objective of the course is to introduce students to concepts and calculations needed in the business world. Topics include payroll records, depreciation, overhead, financial statements, commercial discounts, markup, markdown, simple interest, compound interest, promissory notes and annuities. This course is not recommended as an elective for those intending to transfer.

Prerequisite: Achieving an appropriate score on the mathematics part of the ACT or SAT, or completion of MAT 012 with a grade of at least C or scoring at an appropriate level on the Mathematics Placement Test.

Note: Credit is not given for both MAT 121 and MAT 131 or MAT 121 and MAT 142 or MAT 121 and MAT 151.

LEARNING OBJECTIVES:

Upon completion of this course, the student will be able to:
  1. acquire the ability to use certain concepts and vocabulary encountered in the business world;
  2. acquire the ability to use the mathematics necessary to handle problems encountered in the business world;
  3. develop facility and self-confidence with arithmetic computations;
  4. develop facility and self-confidence with pre-algebra topics.

COURSE OUTLINE:

Algebraic Operations:
  • Calculators and Approximate Numbers
  • Exponents (including order of operations
  • Scientific Notation
  • Roots and Radicals

Geometry:
  • Lines, Angles and Triangles
  • Quadrilaterals and Circles
  • Measurement of Irregular Areas and Geometric Figures

Functions and Graphs:
  • Introduction to Functions
  • The Graph of a Function
  • Solving Equations Graphically

The Trigonometric Functions:
  • Angles
  • Definition and values of the Trigonometric Functions
  • Right triangles and Applications

Systems of Linear Equations; Determinants:
  • Linear Equations and Graphs
  • Graphical, Algebraic and Determinant Solutions for 2x2 Systems
  • Graphical, Algebraic and Determinant Solutions for 3x3 Systems

Factoring and Fractions:
  • Special Products, Common Factor and Difference of Perfect Squares
  • Operations with Algebraic Fractions
  • Equations Involving Fractions

Quadratic Equations:
  • Solutions by Factoring
  • Solutions by Completing the Square
  • Solutions by Quadratic Formula

Trigonometric Functions of Any Angle:
  • Trigonometric Functions of Any Angle
  • Radians and Their Applications

Vector and Oblique Triangles:
  • Vectors and Their Applications
  • Laws of Sine and Cosine

Graphs of Trigonometric Functions:
  • Graphs of y=a sin(bx+c) and y=a cos(bx+c)
  • Graphs of tan x, cot x, sec x and csc x
  • Composite Trigonometric Graphs

Exponents and Radicals:
  • Integral Exponents
  • Fractional Exponents
  • Simplifying Radicals

Complex Numbers:
  • Basic Operations of Complex Numbers
  • Graphical Representation, Polar Form and Exponential Form of Complex Numbers
  • Products, Quotients, Powers and Roots of Complex Numbers
  • Application to Alternating - Current Circuits

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