POTENTIAL SYLLABUS: PRECALCULUS
Miss Hall's School



PRIMARY TEXT:

Precalculus: Mathematics for Calculus, fourth edition, by James Stewart, Lothar Redlin, and Saleem Watson.

There are 122 class meetings in the 2005–2006 academic year:
66 in the Fall term, and
56 in the Spring term

Precalculus Honors meets four days per week, MTWF, with 50 minutes per class.

The objectives in parentheses, e.g. (FCT14), are more fully explained in the Course Objectives List: Precalculus. Emphasis should be on these course objectives. Additional material in the text, that is not specified in the course objectives, may be covered at the discretion of the instructor, as time permits.

    CHAPTER 1: FUNDAMENTALS
  1. 1.7 Inequalities (FCT14)
  2. 1.8 Coordinate Geometry (FCT15, FCT16)
  3. extra day, Chapter 1
  4. extra day, Chapter 1
  5. extra day, Chapter 1
  6. extra day, Chapter 1
  7. extra day, Chapter 1
  8. extra day, Chapter 1

    CHAPTER 2: FUNCTIONS
  9. 2.1 What is a Function? (FCT1, FCT2)
  10. 2.1 What is a Function? (FCT3)
  11. 2.2 Graphs of Functions (FCT5, FCT6 increasing/decreasing)
  12. 2.3 Applied Functions (basic reading skills)
  13. 2.4 Transformations of Functions (FCT7, FCT8)
  14. 2.4 Transformations of Functions (FCT4)
  15. 2.5 Extreme Values of Functions (finish FCT6)
  16. 2.6 Combining Functions (RVW: practice with domain, function notation)
  17. 2.7 One-to-one Functions and their Inverses (FCT9, FCT10, FCT11, FCT12, FCT13)
  18. extra day, Chapter 2
  19. extra day, Chapter 2
  20. extra day, Chapter 2
  21. extra day, Chapter 2
  22. extra day, Chapter 2
  23. extra day, Chapter 2
  24. extra day, Chapter 2
  25. extra day, Chapter 2

    CHAPTER 3: POLYNOMIALS AND RATIONAL FUNCTIONS
  26. 3.1 Polynomial Functions and Their Graphs (FCT21, FCT22)
  27. 3.2 Real Zeros of Polynomials (RVW long division)
  28. 3.3 Complex Numbers (RVW)
  29. 3.4 Complex Roots and the Fundamental Theorem of Algebra (FCT17, FCT18, FCT19, FCT20, FCT22)
  30. 3.5 Rational Functions (RVW, FCT23)
  31. extra day, Chapter 3
  32. extra day, Chapter 3
  33. extra day, Chapter 3
  34. extra day, Chapter 3
  35. extra day, Chapter 3
  36. extra day, Chapter 3
  37. extra day, Chapter 3

    CHAPTER 4: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
  38. 4.1 Exponential Functions (FCT24, FCT25)
  39. 4.2 The Natural Exponential Function (applications)
  40. 4.3 Logarithmic Functions (FCT26, FCT27)
  41. 4.4 Laws of Logarithms (RVW)
  42. 4.5 Exponential and Logarithmic Equations (RVW)
  43. 4.6 Applications of Exponential and Logarithmic Functions (FCT28)
  44. extra day, Chapter 4
  45. extra day, Chapter 4
  46. extra day, Chapter 4
  47. extra day, Chapter 4
  48. extra day, Chapter 4

    CHAPTER 5: TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS
  49. 5.1 The Unit Circle
  50. 5.2 Trigonometric Functions of Real Numbers (TRIG3, TRIG4)
  51. 5.3 Trigonometric Graphs (TRIG10, TRIG11, TRIG12, TRIG16)
  52. 5.4 More Trigonometric Graphs (TRIG11)
  53. extra day, Chapter 5
  54. extra day, Chapter 5
  55. extra day, Chapter 5
  56. extra day, Chapter 5
  57. extra day, Chapter 5
  58. extra day, Chapter 5
  59. MIDTERM EXAM
  60. ENDTERM EXAM
  61. REVIEW FOR FINAL
  62. REVIEW FOR FINAL
  63. Quiz Day
  64. Quiz Day
  65. Quiz Day
  66. Quiz Day


    67. END OF FALL TERM



    CHAPTER 6: TRIGONOMETRIC FUNCTIONS OF ANGLES
  67. 6.1 Angle Measure (TRIG1, TRIG2)
  68. 6.2 Trigonometry of Right Triangles (TRIG5, TRIG6)
  69. 6.3 Trigonometric Functions of Angles (TRIG9)
  70. 6.4 The Law of Sines (TRIG7)
  71. 6.5 The Law of Cosines (TRIG8)
  72. extra day, Chapter 6
  73. extra day, Chapter 6
  74. extra day, Chapter 6
  75. extra day, Chapter 6
  76. extra day, Chapter 6
  77. extra day, Chapter 6
  78. extra day, Chapter 6

    CHAPER 7: ANALYTIC TRIGONOMETRIC
  79. 7.1 Trigonometric Identities (TRIG17)
  80. 7.2 Addition and Subtraction Formulas (TRIG18)
  81. 7.3 Double-Angle etc. Formulas (TRIG19)
  82. 7.4 Inverse Trigonometric Functions (TRIG13, TRIG14, TRIG15)
  83. 7.5 Trigonometric Equations (TRIG20)
  84. 7.7 Vectors (MISC4)
  85. extra day, Chapter 7
  86. extra day, Chapter 7
  87. extra day, Chapter 7
  88. extra day, Chapter 7
  89. extra day, Chapter 7
  90. extra day, Chapter 7
  91. extra day, Chapter 7
  92. extra day, Chapter 7
  93. extra day, Chapter 7

    CHAPTER 8: SYSTEMS OF EQUATIONS AND INEQUALITIES
  94. 8.7 Systems of Equations and Inequalities (RVW)
  95. 8.8 Partial Fractions (MISC3)
  96. extra day, Chapter 8
  97. extra day, Chapter 8
  98. extra day, Chapter 8
  99. extra day, Chapter 8

    CHAPTER 9: TOPICS IN ANALYTIC GEOMETRY
  100. 9.1 Parabolas (CONIC1, CONIC2)
  101. 9.2 Ellipses (CONIC1, CONIC3)
  102. 9.3 Hyperbolas (CONIC1, CONIC3)
  103. 9.4 Shifted Conics (RVW)
  104. 9.6 Polar Coordinates (MISC2)
  105. 9.8 Parametric Equations (MISC1)
  106. extra day, Chapter 9
  107. extra day, Chapter 9
  108. extra day, Chapter 9
  109. extra day, Chapter 9
  110. extra day, Chapter 9
  111. extra day, Chapter 9
  112. Advanced Absolute Value Ideas (to prepare for calculus) (MISC5)
  113. extra day
  114. extra day
  115. Practice with Piecewise-Defined Functions (FCT29)
  116. extra day
  117. extra day
  118. extra day
  119. MIDTERM EXAM
  120. ENDTERM EXAM
  121. REVIEW FOR FINAL
  122. REVIEW FOR FINAL

    END OF SPRING TERM