**MAT 1375 **Precalculus

**Text: **Precalculus by Thomas Tradler and Holly Carley, Second Edition, available on www.lulu.com, PDF available from: http://websupport1.citytech.cuny.edu/faculty/ttradler/precalculus.html

Class | Topic | Homework | WeBWorK | Video Resource |
---|---|---|---|---|

1 | 1. The absolute value | 1.1, 1.2, 1.3 (a)-(e), 1.4 (a)-(f), 1.6, 1.7 (a)-(f) | Absolute Value Inequalities Interval Notation | The absolute value Interval notation |

2 | 2. Lines and functions | 2.1 (a)-(c), 2.3 (a)-(c), 2.5-2.8 all | Lines Functions - Intro | Functions |

3 | 3. Functions by formulas and graphs | 3.1 (a)-(b), 3.2, 3.4 (a)-(f), 3.6 (a)-(f), 3.7 (a)-(g) and (m)-(t), 3.8, 3.9 | Functions - Notation Functions - Difference Quotient | Functions by formulas and graphs |

4 | 4. Introduction to the TI-84 | 4.1, 4.2 (a), 4.3 (c)-(i), 4.6 | ||

5 | 5. Basic functions and transformations | 5.1, 5.2 (a)-(f), 5.3 (a)-(d), 5.5 (a)-(e) | Functions - Translations | Transformation of graphs |

6 | 6. Operations on functions | 6.1 (a)-(c), 6.2 (a)-(b), 6.3 (a)-(d), 6.4 (a)-(c), 6.5 (a)-(b), 6.6, 6.7 | Functions - Operations | Operations on functions |

7 | 7. The inverse of a function | 7.1 (a)-(c), 7.2 (a)-(f) and (l)-(p), 7.3 (a)-(c), 7.4 (a)-(c), 7.5 (a) and (d) | Functions - Inverse Functions | The inverse of a function |

8 | First Examination | |||

9 | 8. Dividing polynomials (8.3 Synthetic division is optional) | 8.1 (a)-(c) and (j)-(k), 8.2, 8.3, 8.4 (a)-(d) (Optional: 8.5 (a)-(d)) | Polynomials - Division | Long division The remainder theorem |

10 | 9. Graphing polynomials (9.3 Graphing polynomials by hand is optional) | 9.1-9.3 all, 9.4 (a)-(c), 9.5 (a)-(c) (Optional: 9.6) | Polynomials - Graphs | Graphing polynomials |

11 | 10. Roots of polynomials (10.1 Rational root theorem is optional) | 10.2 (a)-(d), 10.3 (a)-(c), 10.4 (a)-(c) and (f)-(h), 10.5 (a)-(c) and (f)-(i) (Optional: 10.1) | Polynomials - Theory Polynomials - Rational Roots | Polynomials |

12 | 11. Rational functions (11.2 Graphing rational functions by hand is optional) | 11.1-11.4 all | Rational Functions - Domains Rational Functions - Intercepts Rational Functions - Asymptotes | Rational functions |

13 | 12. Polynomial and rational inequalities | 12.1 (a)-(c), 12.2 (g)-(j), 12.4 (a)-(f), 12.5 | Polynomials - Inequalities Rational Functions - Inequalities | Polynomial and rational inequalities |

14 | 13. Exponential and logarithmic functions | 13.1 (a)-(f), 13.2 (a)-(e), 13.4, 13.5 (a)-(b), 13.6 (a)-(h) | Exponential Functions - Graphs Logarithmic Functions - Graphs | Exponential and logarithms |

15 | Midterm Examination | |||

16 | 14. Properties of exp and log | 14.1 (a)-(e), 14.2 (a)-(f), 14.3 (a)-(c) and (e), 14.4 (e)-(g), 14.5 (a)-(e) | Logarithmic Functions - Properties Logarithmic Functions - Equations Exponential Functions - Equations | Properties of logarithms Exponential equations |

17 | 15. Applications of exp and log | 15.1 (a)-(b), 15.3-15.8 all | Exponential Functions - Applications | Applications of exponential and logarithmic functions |

18 | 16. Half-life and compound interest | 16.1-16.7 all, 16.9 (a)-(c), 16.10 (a)-(e) | Exponential Functions - Half-life Exponential Functions - Compound Interest | Half-life and compound interest |

19 | 17. Trigonometric functions | 17.1 (a)-(d) and (g)-(h), 17.3, 17.4, 17.5 (a)-(d), 17.6 (a)-(g) | Trigonometry - Unit Circle Trigonometry - Graphing Amplitude Trigonometry - Graphing Period Trigonometry - Graphing Phase Shift Trigonometry - Graphing Comprehensive | Graphing trigonometric functions |

20 | 18. Addition of angles and multiple angle formulas | 18.1 (a)-(e), 18.2 (a)-(b), 18.3 (a)-(d), 18.4 (a)-(d) | Trigonometry - Sum and Difference Formulas Trigonometry - Double and Half Angle Formulas | Addition of angles and multiple angle formulas |

21 | 19. Inverse trigonometric functions | 19.1, 19.2 (a)-(j), 19.3 (a)-(c) and (g)-(i) | Trigonometry - Inverses | Inverse trigonometric functions |

22 | 20. Trigonometric equations | 20.1 (a)-(f), 20.2 (b)-(c), 20.4 (a)-(k), 20.5 (a) | Trigonometry - Equations | Trigonometric equations |

23 | Third Examination | |||

24 | 21. Complex numbers | 21.1 (a)-(c), 21.2 (b)-(e), 21.3 (a)-(c), 21.4 (a)-(d), 21.5 (c)-(d), 21.6 (a)-(d), 21.7 (a)-(d) | Complex Numbers - Operations Complex Numbers - Magnitude Complex Numbers - Direction Complex Numbers - Polar Form | Complex numbers |

25 | 22. Vectors in the plane | 22.1 (a) and (d), 22.2 (a)-(d), 22.3 (b)-(f) and (k)-(m), 22.4 (a)-(b) | Vectors - Components Vectors - Magnitude and Direction Vectors - Unit Vectors | Vectors in the plane |

26 | 23. Sequences and series | 23.1 (a)-(c), 23.3 (a)-(d), 23.4 (a)-(d), 23.5 (a)-(b), 23.7 (a)-(b) and (e)-(i) | Sequences - Arithmetic Series - Finite Arithmetic | Sequences and series |

27 | 24. The geometric series | 24.1 (a)-(d), 24.2 (a)-(c), 24.3 (a)-(b) and (e)-(i), 24.4 (c) and (f)-(i), 24.5 (a) | Sequences - Geometric Series - Geometric | The geometric series |

28 | 25. The binomial theorem | 25.1 (a) and (i)-(l), 25.2 (b), 25.3 (a)-(d), 25.4 (a)-(d), 25.5 (a)-(d), 25.6 (a)-(d) | Sequences - Binomial Theorem | The binomial theorem |

29 | Review | Final Exam Review Problems | Selected final exam review questions solved | |

30 | Final Exam |

** **