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. 1516
(9, 14, 26, 50, 57, 68, 69, 71, 82)
pp. 2629
(15, 18, 27, 32, 38, 56, 60, 67, 72, 7377, 80, 81, 84, 88, 93, 96, 108, 109,
113, 118, 122, 123, 129, 131, 133, 135138, 150, 157, 158)
L2
Polynomials; Factoring Polynomials (R.4, R.5)
Skills:
Identify a polynomial. Perform the operations of addition, subtraction, and
multiplication of polynomials. Learn special product formulas. Factor polynomials.
pp. 4243 (10, 11, 24, 25, 36, 46, 58, 67, 76, 88, 93)
pp. 5052 (14, 25, 30, 33, 38, 46, 51, 54, 67, 78, 82, 91, 96, 103, 108, 109, 116, 122)
L3
Polynomial Division; Synthetic Division; Rational Expressions (R.6, R.7)
Skills: Divide polynomials using long division. Perform synthetic division. Add, subtract,
multiply, and divide rational expressions. Reduce a rational expression to lowest terms.
Simplify mixed quotients (complex fractions).
pp. 5758
(614 even, 2125 odd, 35, 38, 42)
pp. 6870
(6, 16, 21, 24, 34, 43, 49, 64, 65, 70, 74, 75, 79, 88)
L4
n
th Roots; Rational Exponents (R.8)
Skills: Define the principle
n
th roots. Work with
n
th roots. Define rational exponents.
Simplify expressions with radicals or rational exponents.
pp. 7577 (515 odd, 20, 27, 2933 odd, 40, 43, 46, 50, 54, 63, 6571 even, 76, 79, 88, 91, 97)
L5
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. 9396
(11, 26, 34, 36, 46, 50, 51, 55, 62, 78, 88, 89, 91, 96, 98)
pp. 147150 (19, 21, 26, 29, 35, 38, 41, 45)
L6
Quadratic Equations and Applications (1.2)
Skills:
Solve quadratic equations by factoring, using the square root method, completing the
square or using the quadratic formula. Use the discriminant to determine the nature of
solutions of a quadratic equation. Set up and solve word problems involving quadratics.
pp. 106109 (14, 17, 24, 25, 28, 29, 31, 42, 45, 52, 62, 63, 70, 78, 84, 85, 88, 91, 94, 98,
99, 106)
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Complex Numbers; Quadratic Equations in the Complex Number System (1.3)
Skills: Add, subtract, multiply, and divide complex numbers. Solve quadratic equations in the
complex number system.
pp. 116118 (14, 19, 22, 27, 30, 31, 36, 42, 45, 50, 52, 55, 60, 65, 68, 71, 76, 80)
L8
Radical Equations; Equations Quadratic in Form; Factorable Equations;
Equations Involving Absolute Value (1.4, 1.6)
Skills: Solve equations involving radicals, rational exponents, and absolute value. Solve
equations that are quadratic in form. Solve equations by factoring.
pp. 123124 (8, 9, 11, 16, 26, 29, 36, 39, 42, 45, 52, 56, 59, 66, 67, 76, 77, 84, 87, 92)
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 Summer '08
 GERMAN
 Calculus, Fundamental Theorem Of Algebra, Rational Zeros Theorem, Real Numbers, Exponents, Order Of Operations, Square Roots, Sets, Quadratic equation, pp., cosines, Secant Functions

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