BRONX COMMUNITY COLLEGE

Of the City University of New York

DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE

 

 

SYLLABUS: MTH21 – SURVEY OF MATHEMATICS 1                [3 credits, meets 3 hours per week]

 

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)

 

RK / Fall 2016

EA / Fall 2017 incl CLOs