Students in the Competency-Based Mathematics program learn the course content by using the software they are provided for the course. They must complete all of the sections on the software that are required for each course and must complete the designated number of exams (3 for College Algebra; 2 for Plane Trigonometry; 3 for Precalculus) successfully.

The software’s **learn mode** presents the concepts, definitions, and examples for each lesson similar to how a textbook would, but unlike a textbook, the software also has narration and videos.

The software’s** practice mode** offers unlimited practice problems with helpful feedback and an Interactive Tutor that lets students view a fully worked-out solution or complete a guided step-by-step process in order to find a solution.

The software’s **certify mode** is where students complete assigned homework problems. There is a table in the lower part of the screen that shows the number of problems, the number of strikes for incorrect answers, and the maximum number of strikes allowed to pass the certification. If a student earns too many strikes, they must reattempt the certify for that lesson. Students are allowed an unlimited number of attempts to certify. If the computer is connected to the Internet, the student will receive a notice that their certification has been registered and a grade will show up in their Progress Report. If the computer is not connected to the Internet, the student will need to submit the certificate manually on a computer that has Internet access. Students can also save and print the certificate for their records.

Once a student has been certified in all of the topics covered by a particular test and feels ready to test, they then proceed to take the appropriate test in a proctored environment.

**MATH 156 College Algebra**

**Test 1:**Covers Hawkes sections 1.1a-b, 1.2a-d, 1.3, 1.4, 1.5a-b, 1.6, 1.7, 1.8a- Objectives
- Real numbers (including integers, rational numbers, absolute values and interval notation)
- Algebraic expressions
- Integer Exponents (including properties of exponents and scientific notation)
- Rational exponents
- Polynomials (including simple factoring, difference of squares, sum and difference of cubes)
- Linear equations in one variable (including absolute values, solving an expression for a particular variable and simple story problems)
- Linear inequalities in one variable (including absolute values and simple story problems)
- Quadratic equations in one variable (including solutions by factoring and the quadratic formula)
- Rational expressions (including simplification and work-rate problems)

- Objectives
**Test 2:**Covers Hawkes sections 2.1, 2.3, 2.5, 3.1, 3.2a, 3.4, 3.5, 3.6, 3.7, 4.1, 4.2- Objectives
- Cartesian coordinates (including plotting points and the distance and midpoint formulas)
- Linear equations (including slopes, the slope-intercept form, and the standard form)
- The imaginary unit
*i*and its properties - The algebra of complex numbers
- Roots and complex numbers
- Graph systems of inequalities
- Functions (including domains, ranges and graphs)
- Linear and quadratic functions and their graphs.
- Inverse and direct variation
- Transformations of functions (including shifts, reflections, stretches, and even and odd functions)
- Combining functions (including addition, subtraction, and multiplication as well as composition and decomposition)
- Inverses (definition and computing simple inverses)
- Polynomial equations (including zeros and roots)
- Polynomial division (including the division algorithm and remainder theorem, zeros and linear factors of polynomials and polynomial long division)

- Objectives
**Test 3:**Covers Hawkes sections 4.4, 4.5a-b, 5.1, 5.2, 5.3, 5.4, 10.1, 10.2, 10.3, 10.4, 10.5- Objectives
- The Fundamental Theorem of Algebra (including constructing polynomials with given zeros)
- Rational functions (including asymptotes and graphing)
- Exponential functions (including graphing and exponential growth and decay problems)
- Logarithmic functions (including graphing, properties of logarithms and common logarithmic functions such as noise levels and earthquake intensity)
- Solving systems of equations with two equations and two unknowns.
- Rational Inequalities (including solving rational inequalities )
- Matrix Notation and Gaussian Elimination (including Linear systems, matrices, augmented matrices, Gaussian elimination, row echelon form, and using matrices to solve systems of linear equations)
- Determinants and Cramer’s Rule (including determinants and their evaluation, using Cramer’s rule to solve linear systems, and using matrices to solve systems of linear equations)
- The Algebra of Matrices (including matrix addition, scalar multiplication, matrix multiplication, and performing matrix operations)
- Inverses of Matrices (including the matrix form of a linear system, finding the inverse of a matrix, and using matrix inverses to solve linear systems)

- Objectives

**MATH 157 Plane Trigonometry**

**Test 1:**Covers Hawkes sections 6.1, 6.2, 6.3, 6.4, 6.5- Objectives
- Radian and Degree Measure of Angles
- Trigonometric Functions of Acute Angles
- Trigonometric Functions of Any Angle
- Graphs of Trigonometric Functions
- Inverse Trigonometric Functions

- Objectives
**Test 2:**Covers Hawkes sections 7.1, 7.2, 7.3, 7.4, 8.1a, 8.5, 8.6- Objectives
- Fundamental Identities and Their Uses
- Sum and Difference Identities
- Product-Sum Identities
- Trigonometric Equations
- The Law of Sines and the Law of Cosines
- Vectors in the Cartesian Plane (including vector terminology, basic vector operations, component form of a vector, finding the magnitude and direction for the vector given its initial point and its terminal point, finding the horizontal and vertical components of a vector given its magnitude and direction, performing vector operations, and representing vectors in polar form)
- The Dot Product and Its Uses (including the dot product and performing vector operations)

- Objectives

**MATH 186 Precalculus**

**Test 1:**Covers Hawkes sections 2.1, 2.5, 3.1, 3.2a, 3.4, 3.5, 3.6, 3.7, 4.1, 4.2, 4.4, 4.5a-b- Objectives
- Relations and Functions
- Linear and Quadratic Functions
- Variation and Multi-Variate Functions
- Transformations of Functions
- Combining Functions
- Inverses of Functions
- Introduction to Polynomial Equations and Graphs
- Polynomial Division and the Division Algorithm
- The Fundamental Theorem of Algebra
- The Cartesian Coordinate System (including the distance and midpoint formulas)
- Linear Inequalities in Two Variables (including graphing systems of inequalities)
- Rational Inequalities (including solving rational inequalities)

- Objectives
**Test 2:**Covers Hawkes sections 5.1, 5.2, 5.3, 5.4, 10.1, 10.2, 10.3, 10.4, 10.5- Objectives
- Rational Functions
- Exponential Functions and Their Graphs
- Applications of Exponential Functions
- Logarithmic Functions and Their Graphs
- Properties and Applications of Logarithms
- Solving Systems of Equations
- Matrix Notation and Gaussian Elimination (including linear systems, matrices, augmented matrices, Gaussian elimination, row echelon form, and using matrices to solve systems of linear equations)
- Determinants and Cramer’s Rule (including determinants and their evaluation, using Cramer’s rule to solve linear systems, and using matrices to solve systems of linear equations)
- The Algebra of Matrices (including matrix addition, scalar multiplication, matrix multiplication, and performing matrix operations)
- Inverses of Matrices (including the matrix form of a linear system, finding the inverse of a matrix, and using matrix inverses to solve linear systems)

- Objectives
**Test 3:**Covers Hawkes sections 6.1, 6.2, 6.3, 6.4, 6.5, 7.1, 7.2, 7.3, 7.4, 8.1a, 8.5, 8.6- Objectives
- Radian and Degree Measure of Angles
- Trigonometric Functions of Acute Angles
- Trigonometric Functions of Any Angle
- Graphs of Trigonometric Functions
- Inverse Trigonometric Functions
- Fundamental Identities and Their Uses
- Sum and Difference Identities
- Product – Sum Identities
- Trigonometric Equations
- The Law of Sines and the Law of Cosines
- Vectors in the Cartesian Plane (including vector terminology, basic vector operations, component form of a vector, finding the magnitude and direction for the vector given its initial point and its terminal point, finding the horizontal and vertical components of a vector given its magnitude and direction, performing vector operations, and representing vectors in polar form)
- The Dot Product and Its Uses (including the dot product and performing vector operations)

- Objectives