MAT-173 Contemporary Math II
Upon completion the student will be able to:
UNIT – COMPUTERS & PROBLEM-SOLVING
- To identify a proper algorithm.
- To formulate an algorithm for the solution of a state problem.
- To produce a flowchart for a given algorithm.
- To learn the rudiments of BASIC programming language.
- To apply BASIC programming to selected problems.
- To consider the impact of computers on contemporary society and their role in the classroom.
UNIT – CALCULATORS
- To identify and use specific functions and capabilities of a hand-held calculator. These may include such things as scientific notation, fixed or floating decimal point, arithmetic or algebraic logic, memory, constants, rounding or truncation, inverse functions, fraction representation, etc.
- To perform arithmetic operations on integers, fractions, and decimals with the aid of a calculator.
- To use calculators to solve problems involving very large or very small numbers.
- To investigate number patterns such as repeating decimals, series, etc.
- To solve non-standard problems using the calculator as a tool.
- To consider the impact of hand-held calculators on contemporary society and their place in the classroom.
UNIT – STATISTICS
- To form a frequency distribution or a relative frequency distribution from a set of raw data, identifying class limits, class boundaries, class marks, class width, and cumulative frequencies.
- To draw a histogram from a given frequency distribution and to interpret a histogram.
- To find the mean, median, and mode(s) of raw data or of grouped data.
- To find percentiles (or quartiles or deciles) of raw data or of grouped data.
- To calculate the variance and standard deviation of raw data or of grouped data.
- To interpret the standard deviation and to apply it to a standard normal distribution to find the probability of a single observation lying within a specified interval.
- To be familiar with the basic concepts of statistical design and exploratory data analysis.
- To be a critical reader of descriptive statistics.
UNIT – GRAPH THEORY
- To draw a graph as a model for an applied problem.
- To identify vertices and edges of a graph, and the degree of each vertex, and to define connectedness and completeness of a graph.
- To define an Eulerian path between two vertices, to identify necessary and sufficient conditions for an Eulerian path to exist, and to identify the Eulerian path(s) between two vertices when possible.
- To identify Eulerian graphs.
- To define a Hamiltonian path between two vertices, and to identify a Hamiltonian path between two vertices if one exists.
- To identify Hamiltonian graphs.
- To find a least distance circuit through a graph (the Chinese Postman’s Problem).
- To draw a directed graph from its matrix and to construct the matrix of a given digraph.
- To use matrix multiplication to find the number of n-step paths between two vertices.
- To determine the reachability matrix of a digraph.
- To use a directed graph to model a scheduling problem and to determine the least time schedule using the critical path method (CPM) or Project Evaluation and Review Technique (PERT).
UNIT – CONSUMER MATH
- To balance a checkbook including monthly interest, service charges, automatic deposits and withdrawals.
- To calculate monthly finance charges using the Average Daily Balance method.
- To understand the use of differential rates for commission, finance charges, etc.
- To calculate simple interest, principal, simple interest rates, or time.
- To calculate compound interest.
- To calculate the effective simple interest rate and to compare with nominal simple interest rate.
- To document the growth of an ordinary annuity and to calculate the present value of an ordinary annuity.
- To prepare an amortization schedule for a loan and to investigate the processing of partial payments.
- To be an informed consumer.