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: MTH05 or equivalent; corequisite ENG02 and/or RDL02, if required

TEXT: “Mathematics, A Practical Odyssey,” by D. Johnson and T. Mowry, 8^th edition CENGAGE Learnng, 2014

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