**Borough of Manhattan Community College **

**City University of New York **

**Mathematics Department **

**Course Outline for Math 206.5 **

**Intermediate Algebra and PreCalculus **

**Prof A Greenhalgh **

**AJGreenhalgh@gmail.com **

**Workbook Reference: BMCC OER Workbook**

**All HW Assignments Are From BMCC OER Workbook **

Lesson | Topic | Homework Assignments |
---|---|---|

Chapter 1: Functions & Their Graphs |
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1.1 | Solving Equations | 5-6/1b,d,f,h,l |

1.2 | Solving Absolute Value Equations | 10/h,n, 12f |

1.3 | Linear & Compound Inequalities | 14/2b,d 16-17/1h, 2b,f 15/7a,b |

1.4 | Absolute Value Inequalities | 21/1b 22/1h,i 3b, d |

1.5 | Rectangular Coordinates | 25/2d |

1.6 | Graphs of Equations: Circles | 33/1b, 34/2f, h |

1.7 | Linear Equations in Two Variables | 37/1b, 39/3d,4b 40/5d, 6b,d |

1.8 | Function Notation | 46/1b 47/3b,f 48/5b 49/6b 51/7f,j 52/9d |

1.9 | Transformations of Functions: Graphs of Absolute Value Functions | 56/2b,d, e |

1.10 | Systems of Linear Equations in Two Variables and Applications | 65/6d 66/7d 67/8b |

Chapter 2: Polynomial Functions |
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2.1 | Factoring Trinomials | 73/b,h, 74/3b,d, 4b,d,f, 76/6f,h 79/13d, 14c,d |

2.2 | Complex Numbers | 81/1c,2b,4b, 82/5b,d, 6h 83/7b,d |

2.3 | Solving Quadratic Equations by Factoring, Completing the Square, & the Quadratic Formula | 85/1c,f 86/3d,f 87/5b,d |

2.4 | Quadratic Functions/Transformations | 91/2 93/1 94/3 |

2.5 | Cubic Functions/Transformations.Polynomial Functions of Higher Degree | 102/7b 103/10 104/11 |

2.6 | Division of Polynomials/The Remainder Theorem & Factor Theorems | 107/2b 108/5 109/6b, 8 |

2.7 | Zeros of Polynomial Functions | 113/3b 114/5a |

Chapter 3: Rational Exponents |
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3.1 | Properties of Exponents | 5- 9/1b,e,h,k,n,q 2b,c,e,k, 3b,d,h 4b,e 5b,h 7b,d |

3.2 | Rational Exponents | 11-14/1b,e,h 2b,d,i 3b,e,k, 4b,h |

3.3 | Simplified Form for Radicals | 18/1b,o |

3.4 | Addition and Subtraction of Radicals | 20/3b,f,g |

3.5 | Multiplication of Radicals | 23/1b,e,n |

3.6 | Division of Radicals | 27-28/1b,2b,e 3b,e |

3.7 | Solving Rational Equations | 30-32/1b,e,h, 2d,f,j |

Chapter 4: Rational Functions |
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4.1 | Rational Expressions | 36-38/2b, 3b,d,f,l 4b,d,h |

4.2 | Multiplication & Division of Rational Expressions | 41-43/2d,j 3f,J |

4.3 | Addition and Subtraction of Rational Expressions | 45-47/2l,n,p 5b,d,h |

4.4 | Complex Fractions | 51-53/1d 2b,d,f,j 3b |

4.5 | Solving Rational Equations | 56/-571b,f,h,n,r |

4.6 | Graphs of Reciprocal Functions and Transformations | 65/2b,c |

4.7 | Rational Functions | 69/2b,3b |

4.8 | Partial Fractions | 75/1a,c |

4.9 | Variation | TBD |

Chapter 5: Exponential and Logarithmic Functions |
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5.1 | Algebra of Functions & Functions Compositions | 85/2b only i, ii, iii |

5.2 | Inverse Functions | 92/4b 93/6a |

5.3 | Exponential Functions | TBD |

5.4 | Logarithmic Functions | 106/1b,e,2b,h,3b,d 107/5 |

5.5 | Properties of Logarithms | 114/3b,d 115/4e,i,5b,d |

5.6 | Exponential & Logarithmic Equations | 117/2d 118/3b,d,i 120/6d,h,j |

Chapter 6: Trigonometry |
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6.1 | Radian and Degree Measure | 6/3b,c,e, 4b,e,5b |

6.2 | Trigonometric Functions: The Unit Circle | TBD |

6.3 | Right Triangle Trigonometry | 12/1b 14/5b,c,e |

6.4 | Trigonometric Functions of Any Angle | 18/3b,c 19/4b,d,f |

6.5 | Graphs of Sine and Cosine Functions | 22/2b 23/3 & f(x) = 2 sin (1/2)x + 2 |

6.6 | Graphs of Other Trigonometric Functions | TBD |

6.7 | Inverse Trigonometric Functions | 37-38/4a,c,e,i |

Chapter 7: Analytic Trigonometry |
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7.1 | Using Fundamental Identities | 41/2b,d,f |

7.2 | Verifying Trigonometric Identities | 43/b,d,f,j,L |

7.3 | Solving Trigonometric Equations | 46/Pt B/1b,d,j 48/n |

7.4 | Sum and Difference Formulas | 49/Pt B/1a,b 50/2a,b |

7.5 | Multiple Angle and Product to Sum Formulas | TBD |

**Course Requirements: **

1. All students must attend every class and arrive to class at 1 PM. If you will be late, email the professor.

2. Four class tests will be given during the semester. The professor will drop your lowest grade and then use the remaining 3 grades to compute an average. This average will count as 70 % of your semester grade. The Final Exam, given on the last day of the semester, will count as the additional 30 % of your grade.

3. I do not have regular scheduled office hours. Send me an email requesting a meeting or tutoring and we will work out a time convenient to me and to you five days a week not including Monday or Thursday.

4. There are no D, D-, or D+ grades for the course. Students pass the course with the overall score of 70% (C-) or higher. Any student earning a 69% or lower receives a grade of an F unless they receive a grade of 60% or higher on the Final Exam. That student will receive a grade of F, but be permitted to advance to Math 206 without having to repeat 206.5.