BRONX
COMMUNITY COLLEGE
Of
the City University of New York
DEPARTMENT
OF MATHEMATICS AND COMPUTER SCIENCE
PREREQUISITE:
MTH 5 or equivalent; corequisite ENG 2 and/or RDL 2, if required
TEXT:
ÒMathematics, A Practical Odyssey,Ó by D. Johnson and T. Mowry, 8th edition CENGAGE
Learnng, 2014
This
course may be used to satisfy Category
B/Mathematical and Quantitative Reasoning of CUNY Pathways Required Core.
Learning Objectives: On successful completion of this
course, students will be able to
1) Understand
the advantages of place-value numeration systems.
2) Use the
language of sets (membership, union, intersection and complement) to analyze
and solve
problems.
3) Predict experimental outcomes using basic techniques of probability
(permutations, combinations,
counting techniques, tree
diagrams).
4) Use
linear and quadratic functions to model real-world problems, and understand the
significant
differences between the two models.
5) Manage personal finances through a basic understanding of financial
instruments such as loans,
mortgages, and annuities.
Number Systems and Number Theory (3 weeks) Suggested
homework
7.1 Place
systems Problems
1-33 (odd).
7.2 Addition
and subtraction in different bases Problems
1-23 (odd)
7.3 Multiplication
and division in different bases Problems 1-15 (odd)
(divison
is optional)
7.5 Fibonacci
numbers and the Golden Ratio Problems
1, 3, 5, 9, 11 (if discussed in class)
Sets and Counting (3 weeks)
2.1 Sets
and set opertations Problems
1, 7, 9, 17 – 25 (odd),
29, 41-49 (odd)
2.2 Applications
of Venn diagrams Problems
1, 3, 5, 27-31 (odd)
2.3 Introduction
to combinatorics Problems
1, 5, 15, 17, 23-35 (odd)
2.4 Permutations
and combinations Problems
1, 3, 5, 13, 1, 19-37 (odd), 49, 53
Probability (3 weeks)
3.1 History
of probability (optional) If
time permits, in class do some hands on
exercises
from the exercises section.
3.2 Basic
terms of probability Problems
1-28 (all).
3.3 Basic
rules of probability Problems
11-25 (odd), 47-53 (odd).
3.4 Combinatorics
and probability Problems
1-13 (odd), 21
Finance
(3 weeks)
5.1 Simple
interest Problems
5-19 (odd), 37.
5.2 Compound
interest Problems
1-19 (odd), 29, 31, 35.
5.3 Annuities Problems
1,3, 5, 9, 19.
Linear Programming (2 weeks)
12.0 Review
of linear inequalities Problems
1-19 (odd)
12.1 The
geometry of linear programming Problems 1-11 (odd)
EA / Fall 2017 incl CLOs