MATH 0310 INTERMEDIATE ALGEBRA
COURSE OBJECTIVES
Textbook Reference: Beginning & Intermediate Algebra 4e, Martin-Gay
Textbook
Ref.
Upon successful completion of this course, students will:
1. Define, represent, and perform operations on real and complex numbers.
Add, subtract, multiply, and divide complex numbers.
2. Recognize, understand, and analyze features of a function.
Identify a relation as a function given (i) a set of points, (ii) an equation, (iii) a graph using
the vertical line test, or (iv) a table of values.
Graph a quadratic function by plotting the intercepts, the vertex, and utilizing the axis of
symmetry.
 b  b  
,f 
Find (i) the vertex using 
  , (ii) the direction of the parabola, and (iii) the axis of
 2a  2a  
10.7
3.6, 8.2,
Supplement
For (iv)
11.5
11.6
2
symmetry, given a quadratic function in the form f ( x )  ax  bx  c .
Determine any maximum or minimum, given a graph of a quadratic function.
Graph an absolute value equation.
Evaluate a function for a specified value given an equation and a graph.
Determine the domain of a function given an equation.
Determine the domain and range of a graph.
Determine the domain of a radical function from an equation and a graph.
Find the sum, difference, product, and quotient of two functions, and the domain of the
quotient of two functions.
3. Recognize and use algebraic (field) properties, concepts, procedures (including
factoring), and algorithms to combine, transform, and evaluate absolute value,
polynomial, radical, and rational expressions.
Factor a polynomial of the form ax2 + bx + c, a ≠ 0 and a ≠ 1.
Use a general strategy to factor a polynomial completely.
Reduce a rational expression to lowest terms.
Multiply and divide two rational expressions.
Add and subtract two rational expressions.
Simplify a complex fraction.
Simplify a radical expression.
Evaluate a radical function.
Evaluate an absolute value expression
Simplify an expression containing rational exponents.
Add, subtract, and multiply radical expressions.
Divide an expression with a monomial or binomial denominator containing a radical.
4. Identify and solve absolute value, polynomial, radical, and rational equations.
Solve an equation containing rational expressions.
Solve an absolute value equation.
Solve a quadratic equation with integer coefficients by (i) factoring, (ii) using the square
root principle, (iii) completing the square, and (iv) the quadratic formula.
Solve a radical equation.
5. Identify and solve absolute value and linear inequalities.
Solve an absolute value inequality
Solve a linear inequality in one variable, and express the solution (i) in set-builder notation,
(ii) as a graph, and (iii) in interval notation.
11.6
8.2 (Obj. 3Absolute
Value only)
3.6, 8.2
3.6
3.6
10.1
12.1
6.4
(Integrated
Review,
p.402)
7.1
7.2
7.3, 7.4
7.7
10.3
10.1
9.2
10.2
10.4
10.5
7.5
9.2
6.6, 11.1,
11.2
10.6
9.3
2.8, Set
Builder
Supplement
6. Model, interpret and justify mathematical ideas and concepts using multiple
representations.
Rev: Apr. 9, 2013
Page 1
219506001
Textbook
Ref.
Upon successful completion of this course, students will:
7. Connect and use multiple strands of mathematics in situations and problems, as
well as in the study of other disciplines.
Solve an application requiring a quadratic equation.
Solve an application requiring a rational equation.
Solve an application requiring a radical equation.
The student will demonstrate competency in the use of a graphing calculator by:
Using the ROOT (ZERO) and INTERSECT features to solve an equation.
Checking solutions to a linear or quadratic equation using the VARS, VALUE, STO or TABLE
feature.
Identifying the maximum or minimum value of a quadratic function using the MINIMUM or
MAXIMUM feature.
Graphing a linear function.
,3 ,x
Using the
appropriate.
features to verify the simplification of a radical expression, when
Rev: Apr. 9, 2013
Page 2
11.1, 11.2
7.6 (Obj. 3,
4, 5)
10.6
6.6, 7.5,
10.6, 11.1
Calculator
Supplement
Calculator
Supplement
8.1,
Appendix D
Calculator
Supplement
219506001