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 |
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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