LECTURE OUTLINE
UNIT I
L1
Course Introduction; Real Numbers and Algebra Review (R.1, R.2)
Skills: Know structure of the course. Learn sets of numbers and order of operations; compute
absolute value. Know laws of exponents, square roots, and scientific and decimal notation.
pp. 15-16
(1-8, 9, 16, 26, 50, 57, 68, 69, 71, 82)
pp. 26-29
(1-10, 16, 17, 27, 32, 38, 56, 60, 67, 72, 73-77, 79, 82, 84, 87, 94, 95, 107, 122,
123, 129, 130, 135-138, 150)
L2
Polynomials; Factoring Polynomials; Polynomial Division; Synthetic Division (R.4,
R.5, R.6)
Skills:
Identify a polynomial. Perform the operations of addition, subtraction, and
multiplication of polynomials. Learn special product formulas. Factor polynomials. Divide
polynomials by using long division. Perform synthetic division.
pp. 42-43 (1-6, 7, 10, 24, 25, 36, 46, 57, 67, 76, 85, 88, 93)
pp. 50-52 (1-4, 14, 26, 31, 34, 37, 46, 52, 55, 61, 78, 82, 91, 96, 104, 108, 109, 114, 122)
pp. 57-58 (1-4, 5-11 odd, 22-26 even, 35, 38, 42)
L3
Rational Expressions;
n
th Roots; Rational Exponents (R.7, R.8)
Skills: Add, subtract, multiply, and divide rational expressions. Reduce a rational expression to
lowest terms. Simplify mixed quotients (complex fractions). Define the principle
n
th roots.
Work with
n
th roots. Define rational exponents. Simplify expressions with radicals or rational
exponents.
pp. 68-70 (1-4, 8, 16, 21, 24, 34, 43, 45, 64, 65, 70, 74, 76, 79, 90)
pp. 75-77 (1-4, 4-16 even, 19, 28, 29, 31, 39, 44, 46, 49, 54, 63, 65, 71, 75, 79, 87, 92)
L4
Linear Equations and Applications (1.1, 1.7)
Skills: Solve linear equations and ones that lead to linear equations. Solve for the indicated
variable. Set up and solve word problems with one variable.
pp. 93-96
(1-8, 11, 26, 34, 36, 45, 49, 52, 56, 61, 77, 78, 87, 88, 92, 95, 98)
pp. 147-150 (1-6, 20, 21, 25, 30, 35, 38, 41, 45)