BRONX COMMUNITY COLLEGE
of the City University of New York
DEPARTMENT OF MATHEMATICS AND COMPUTER
SCIENCE
Syllabus for MTH 21.5 -- SURVEY OF MATHEMATICS I WITH ALGEBRA (3 credits / 5
hours)
Prerequisite:
None.
Students with Math Proficiency Index less than 40 are strongly encouraged to
enroll in Math Start or CUNY Start before taking college-level mathematics
courses.
Textbooks:
1. “Mathematics, A Practical
Odyssey” by D. Johnson and T. Mowry, 8th edition CENGAGE Learning, 2014
2. “MTH 5
Lecture Notes” by A. McInerney, available at https://fsw01.bcc.cuny.edu/mathdepartment/Courses/Math/MTH05/05text0916b-hyper.pdf
3. “ARITHMETIC: A
Textbook for Math 01” by A. Weaver, available at https://fsw01.bcc.cuny.edu/mathdepartment/Courses/Math/MTH01/ArithBook5thEd.pdf
Calculator:
Scientific
calculator (suggested: TI-36X Pro)
Course
Description: This
course aims to introduce liberal arts students to the important mathematical
concepts of sets, numbers, probability, statistics, and geometry. Students will
learn how to analyze quantitative information, and how to make inferences and
predictions about events around us. Further topics covered include financial
management and linear programming. The following material from elementary
algebra has been integrated into the course to provide the necessary
background: fractions, decimals, percentages, radicals, functions, polynomials,
linear and quadratic equations, literal equations, systems of equations, inequalities
in one and two variables. This course is equivalent to MTH 21 Survey of
Mathematics I in academic content and for the purpose of grade replacement.
Purpose:. This course
covers the full content of MTH 21, Survey of Mathematics I, with
supplemental instruction in elementary algebra for students who are not Math
Proficient by CUNY standards. This course is not for STEM or Business
Administration AS majors and is not a prerequisite for any higher- level
mathematics course.
Student
Learning Objectives: Upon
completion of this course, students will be able to:
1. Perform
operations with signed numbers and fractions. Solve and graph linear equations.
Solve literal equations. Evaluate algebraic expressions and solve word
problems. Evaluate functions and graph linear functions.
2. Use the language
of sets (membership, union, intersection and complement) to analyze and solve
problems.
3. Sort, analyze
and present numerical data using sample spaces and measures of central
tendency.
4. Recognize the
families of prime, composite and perfect numbers.
5. Predict
experimental outcomes using basic techniques of probability (permutations,
combinations, counting techniques, tree diagrams).
6. Manage personal
finances through a basic understanding of financial instruments such as loans,
mortgages, and annuities.
7. Understand the
geometric concepts of perimeter and area and recognize fractals.
8. Solve systems of
linear equations and linear inequalities in two variables.
9. Optimize a
function subject to constraints using the methods of linear programming.
Pathways:
This
course may be used to satisfy Category B (Mathematical and Quantitative
Reasoning) of the CUNY Pathways Required Core.
Grading
Guidelines: Homework,
quizzes, oral presentations, projects, etc. (1/3 of grade); midterm, in- class
tests (1/3 of grade); final exam (1/3 of grade). Additional detailed grading
information will be provided by your instructor.
Academic
Integrity: Academic
dishonesty (such as plagiarism and cheating) is prohibited at Bronx Community
College and is punishable by penalties, including failing grades, dismissal and
expulsion. For additional information and the full policy on Academic
Integrity, please consult the BCC College Catalog.
Accommodations/Disabilities:
Bronx
Community College respects and welcomes students of all backgrounds and
abilities. In the event you encounter any barrier(s) to full participation in
this course due to the impact of a disability, please contact the disAbility Services Office as soon as possible this
semester. The disability Services specialists will meet with you to discuss the
barriers you are experiencing and explain the eligibility process for
establishing academic accommodations for this course. You can reach the disAbility Services Office at: disability.services@bcc.cuny.edu, Loew Hall, Room 211, (718) 289- 5874.
|
Mathematics, A
Practical Odyssey |
ELEMENTARY
ALGEBRA |
|
|
Week 1 |
2.1 Sets and set
operations. |
1.1 – 1.8 Review of fractions |
|
Week 2 |
2.2 Applications
of Venn diagrams |
2.1 – 2.6 Signed
numbers, exponents, square roots |
|
Week 3 |
2.4 Permutations
and combinations |
3.2 Algebraic
expressions |
|
Week 4 |
2.5 Infinite sets |
4.1 Algebraic statements and solutions |
|
Week 5 |
4.1 Population,
sample and data |
6.1 Introduction
to polynomials |
|
Week 6 |
4.2 Measures of
central tendency |
6.3 Properties of
exponents |
|
Week 7 |
7.4 Prime numbers
and perfect numbers |
8.2 Radical
expressions |
|
Week 8 |
3.1 History of
probability |
4.3 Solving
literal equations |
|
Week 9 |
3.3 Basic rules
of probability |
4.4 – 4.5 Solving
linear inequalities in one variable |
|
Week 10 |
3.4 Combinatorics
and probability |
5.1 Solving
linear equations in two variables |
|
Week 11 |
5.2 Compound
interest |
5.2 Slope and the
geometry of lines |
|
Week 12 |
5.3 Annuities |
5.3 Solving
linear inequalities in two variables |
|
Week 13 |
8.1 Perimeter and
area |
5.4 – 5.5 Solving
systems of linear equations |
|
Week 14 |
12.0 – 12.1
Linear programming |
|
NN, COS
4/3/21