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Syllabus for Basic Concepts of Mathematics II

SECTIONS TOPICS SUGGESTED EXERCISES
CHAPTER 7 Rational Expressions (10 hours)
7.1 Simplifying Rational Expressions p. 577,578,579/1-65 odd
7.2 Multiplication and Division of Rational Expressions p. 589,590/1-41 odd
7.3 Addition and Subtraction of Rational Expressions p. 603,604,605/1-49 odd
7.4 Complex Fractions p. 610,611,612/1-51 odd
7.5 Solving Rational Equations p. 627,628,629/1- 69 odd
 
CHAPTER 8 Systems of Linear Equations and Inequalities (2 hours)
8.5 Graphing Linear Inequalities in Two Variables p. 714,715/1-23 odd
 
CHAPTER 9 Graphical Solutions (4 hours)
9.3 Solving Absolute Value Equations Graphically p. 765,766,767/1-35 odd
9.4 Solving Absolute Value Inequalities
Graphically and Algebraically
p. 778,779/1-27 odd
 
CHAPTER 10 Radicals and Exponents (12 hours)
10.1 Roots and Radicals p. 795,796/1-53 odd,75,81,and 82
10.2 Simplifying Radical Expressions p. 805,806/1-77 odd
10.3 Operations on Radical Expressions p. 817,818/1-83 odd
10.4 Solving Radical Equations p. 825,826/1-65 odd
10.5 Rational Exponents p. 835,836/1-87 odd
10.6 Complex Numbers p. 845,846/1-79 odd
 
Chapter 11 Quadratic Functions (6 hours)
11.1 Solving Quadratic Equations by Completing the Square p. 866, 867/1 – 61 odd
11.2 The Quadratic Formula p. 879,880,881/1-77 odd
11.3 Solving Quadratic Equations by Graphing p. 897, 898, 899/1- 49 odd
 
Chapter 12 Conic Sections (6 hours)
12.2 The Circle p. 933,934,935/1- 43 odd
 
Chapter 13 Exponential and Logarithmic Functions (8 hours)
13.2 Exponential Functions p. 980,981/1- 47 odd
13.3 Logarithmic Functions p. 992,993/1-73 odd

Trigonometry Supplement :

The Trigonometric Ratios (4 hours), pp. 55 – 62 p. 63,64,65,67,68/1- 55 odd,75-93 odd
Applying Right Triangles (4 hours), pp. 82 – 90 p. 92, 93,94,95/1-51 odd
The Trigonometric Functions and Cartesian
Coordinates (6 hours), pp.
119 – 131
p. 115,116,117/1-85 odd
Circles and Radian Measure (4 hours), pp. 150 – 159 p. 160,161/1-77 odd
The Unit Circle and the Trigonometric
Functions (6 hours), pp.
176 – 186
p. 187,188,189/1-75 odd
Graphing the Trigonometric Functions (6 hours), pp. 204 – 210
(Explore graphs of the type y = A sinx, y = A cosx only)
p. 214,215/1-31 odd
Trigonometric Identities (2 hours), pp. 233 – 240 p. 242,243/1-25 odd, 39 - 67 odd
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