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

Workbook Reference: BMCC OER Workbook
All HW Assignments Are From BMCC OER Workbook 

Lesson Topic Homework Assignments
Chapter 1: Functions & Their Graphs
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
2.1 Factoring Trinomials 73/b,h, 74/3b,d, 4d,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
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
4.1 Rational Expressions 36-38/2b, 3b,d,f,l 4b,d,h
4.2 Multiplication & Division of Rational Expressions 41-43/2b,d,j 3b,f,j
4.3 Addition and Subtraction of Rational Expressions 45-47/2l,n,p 5b,d,h,j
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
4.7 Rational Functions 69/2b,3b
4.8 Partial Fractions 75/1b,c
4.9 Variation TBD
Chapter 5: Exponential and Logarithmic Functions
5.1 Algebra of Functions & Functions Compositions 85/2b
5.2 Inverse Functions 91/2a 92/4b 93/6a
5.3 Exponential Functions 97/A1 98/2 99/3a 100/3b
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 120/6d,h,j
Chapter 6: Trigonometry
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 13/3a,b,4b 14/5b 15/4
6.4 Trigonometric Functions of Any Angle 18/b 19/4b,d,f
6.5 Graphs of Sine and Cosine Functions 20/3 22/2b 23/3
6.6 Graphs of Other Trigonometric Functions TBD
6.7 Inverse Trigonometric Functions 37/4a,c,e,i
Chapter 7: Analytic Trigonometry
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.