# :: High School Courses

## Precalculus B

### Course Description

Extends the study of functions to exponential and logarithmic functions; develops skills in solving systems of linear and quadratic equations and inequalities; evaluates complex numbers in rectangular and polar coordinates; examines vectors, matrices, and series; and introduces conics, limits, and introductory calculus.  (Prerequisite: Precalculus A)

### Required Course Materials

Ryan, Merilyn, et al., Advanced Mathematics: A Precalculus Approach, Prentice-Hall, Inc., 1993, ISBN 0-13-715780-0
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### Course Lesson Organization

Objectives. The objectives for each lesson will help you focus your efforts. They indicate the concepts and skills you must understand or master when you complete the lesson.
Introduction. The Introduction section of each lesson provides key terms and concepts that give you background for the lesson.
Self-Assessment Activities. These activities help to build your knowledge and skills and to identify your specific strengths and weaknesses. Some activities direct you to Internet sites with supplemental material for the lesson. All activities prepare you for the graded assignments and for mastering course materials.

### Final Examination

The final examination is comprehensive; it covers the material from all of the lessons. To pass the course, you must receive a grade of 70 percent or better.
Format: Multiple-choice, true/false, problem-solving.
Time Allowed: 3 hours
Materials Allowed: Scientific or graphing calculator, straightedge, compass.

### Course Outline

Total Number of Lessons: 10
Total Number of Graded Assignments: 10
Instructor Graded (US Mail submission): 10

Lesson 1: Inequalities and Linear Programming

Lesson 2: Exponential and Logarithmic Functions

Lesson 3: Polar Coordinates and Complex Numbers

Lesson 4: Conic Sections - Basic Conics

Lesson 5: Conic Sections - Special Conics

Lesson 6: Matrices and Vectors - Basic Operations

Lesson 7: Matrices and Vectors - Vectors and Transformations

Lesson 8: Sequences and Series - Arithmetic and Geometric

Lesson 9: Sequences and Series - Mathematical Induction and Binomial Theorem

Lesson 10: Limits and an Introduction to Calculus

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