## Math - Eastwick College

## Organization

- Business - Eastwick College
- Computer Science/Technologies - Eastwick College
- Electronics/Digital Technology - Eastwick College
- English/Communications/Writing - Eastwick College
- Health Science - Eastwick College
- Math - Eastwick College
- Philosophy - Eastwick College
- Psychology/Sociology - Eastwick College

## Descriptions and credit recommendations for all evaluated learning experiences

54 hours (12 Weeks)

August 2019 – Present

Upon successful completion of the course, students will be able to: identify sets and properties of real numbers; define natural- number exponents; apply the rules of exponents and the rules for order of operations to evaluate expressions; define rational exponents whose numerators are one and whose numerators are not one; evaluate a variable expression; simplify a variable expression using addition, multiplication, and the Distributive Property; translate a verbal expression into a variable expression; determine whether a given number is a solution of an equation; solve an equation in the form x+a=b; solve an equation in the form ax=b; solve uniform motion problems; solve applications using formulas; solve problems involving angles; solve value mixture problems; solve percent mixture problems; define polynomials, demonstrate addition, subtraction, multiplication, and division of polynomials; explain factoring out of a common monomial; factor trinomials; factor the difference of two squares and perfect square trinomial; define rational expressions; demonstrate addition, subtraction, multiplication, and division of rational expressions; simplify complex fractions; solve equations containing fractions; solve literal equations for one of the variables; demonstrate graphing linear equations, vertical and horizontal lines, and fine distance between two points; calculate the slope of a line; use the slope to solve application; write equations of parallel and perpendicular lines; use point-slope and slope-intercept form to write an equation of a title; locate the “x- and y-“ intercepts of a graph; to solve a system of linear equations by graphing, substitution method, and additions method; solve investment problems; solve application problems using two variables; to solve problems having inequalities; to solve an inequality using the addition property and multiplication property of inequalities; graph an inequality in two variables; to simplify numerical radical expressions; solve an equation containing a radical expression; calculate quadratic equations using the quadratic formulas, factoring and the Square Root Property; solve a quadratic equation by completing the square; and develop analytical skills in order to better comprehend various algebraic theories and applications.

Lectures, textbook readings, exams, discussions, handouts, instructor slides, and exercises after each chapter. **Prerequisite:** College Math (MATH101).

In the lower division baccalaureate/associate degree category, 3 semester hours in Algebra (5/22). **NOTE: T**his course was previously evaluated by the American Council on Education (ACE). To view credit recommendations previously established, visit the ACE National Guide.

54 hours (12 Weeks)

August 2016 – Present

Upon successful completion of the course, students will be able to: explain the conceptual understanding of the meaning and application of whole numbers, common fractions, decimals, ratios, percentages, statistics, and measurement; execute competency in addition, subtraction, multiplication and division of whole numbers, fractions, percent and the understanding of the concepts underlying these operations; illustrate the ability to convert and calculate English systems to metric and metric system to English system; demonstrate how to calculate basic statistics such as mean, median, mode, and range; compose a critical thinking essay on topic choices given in class; apply basic rules of probability to everyday life; and explain how to assign a probability to events.

Textbook readings; chapter exams; lecture; handouts; instructor slides; homework; end of chapter assignments; working examples to reinforce concepts; critical thinking essay/project.

In the lower division baccalaureate/associate degree category, 3 semester hours in Math (5/22). **NOTE: **This course was previously evaluated by the American Council on Education (ACE). To view credit recommendations previously established, visit the ACE National Guide.

12 Weeks

May 2022 – Present

Upon successful completion of the learning experience, students will be able to: identify the concepts of physics as they pertain to their application in the allied health field and cardiovascular technology; explain how waves and sound are directly associated with medical sonography; apply Bernoulli’s principles as it pertains to normal blood flow through vessels; discuss the scientific significance that Newton’s laws have on modern civilization; explain types of energy and how they are related to ultrasound machines; analyze and understand sound waves and properties of waves applicable to medical ultrasound; illustrate frequency, wavelength, and amplitude of waves and apply these concepts to diagnostic ultrasound procedures; and use scientific and qualitative reasoning to convert mathematical values from the English system into the metric system, and vice versa.

Textbook readings, lectures, worksheets, exams, lab activities, research and PowerPoint presentations by instructor and students.

In the lower division baccalaureate/associate degree category, 4 semester hours in Principles of Physics, Conceptual Physics, or Introduction to Physics, and 1 semester hour as a Lab (5/22). **NOTE:** This course was previously evaluated by the American Council on Education (ACE). To view credit recommendations previously established, visit the ACE National Guide.

54 hours (12 Weeks)

August 2019 – Present

Upon successful completion of the course, students will be able to: identify variables in a statistical study; distinguish between quantitative and qualitative variables; identify populations and samples; explain the importance of random samples; formulate a random sample; construct a simple random sample using random numbers; discuss what it means to take a census; discuss potential pitfalls that might make the data unreliable; determine types of graphs appropriate for specific data; organize raw data using a frequency table; recognize basic distribution shapes: uniform symmetric, skewed, and bimodal; interpret graphs in the context of the data setting; interpret information displayed in graphs; construct a stem-and-leaf display from raw data; compare a steam-and-leaf display to a histogram; formulate mean, median and mode from raw data; interpret what mean, median and mode will tell you; compute a weighted average; compute the range, variance, and standard deviation; apply Chebyshev’s theorem to raw data; interpret the meaning of percentile scores; calculate the median, quartiles, and five number summaries from raw data; demonstrate how to assign probabilities to events; apply basic rules of probability in everyday life; explain the relationship between statistics and probability; calculate probabilities of general compound events; use survey results to compute conditional probabilities; organize outcomes in a sample space using tree diagrams; explain how counting techniques relate to probability in everyday life; distinguish between discrete and continuous random variables; graph discrete probability distributions; list the defining features of a binomial experiment; use binomial probability distribution to solve real world applications; make histograms for binomial distributions; use the Poisson distribution to compute the probability of the occurrence of events spread out over time or space; illustrate how to graph a normal curve and summarize its important properties; apply the empirical rule to solve real world problems; graph the standard normal distribution, and find areas under the standard normal curve; calculate the probability of “standard events”; use the inverse normal to solve guarantee problems; review commonly used terms as random sample, relative frequency, parameter, statistic, and sampling distribution; recall the statement and underlying meaning of the central limit theorem well enough to explain it to a friend who is intelligent but doesn’t know much about statistics; state the assumptions needed to use the normal approximation to the binomial distribution; explain the meanings of confidence level, error of estimate, and critical value; solve for the critical value corresponding to a given confidence level; recall the degrees of freedom and student’s *t *distributions; calculate the critical values using degrees of freedom and confidence levels; calculate the maximal margin of error for proportions using a level of confidence; distinguish between independent and dependent samples; interpret the meaning and implications of an all positive, all negative, or mixed confidence interval; discuss the rationale for statistical test; identify right tailed, left tailed and two tailed tests; recognize types of errors, level of significance, and power of a test; review the general procedure for testing using the P-values; identify the components needed for testing a proportion; calculate the sample test statistic; identify paired data and dependent samples; explain the advantages of paired data tests; identify independent samples and sampling distributions; construct a scatter diagram; visually estimate the location of the “best fitting” line for a scatter diagram; state the least squares criterion; explain the difference between interpolation and extrapolation; test the correlation coefficient *P*; review the advantages of multiple regression; test coefficients in a model for statistical significance; design a test to investigate independence of random variables; conduct a test of homogeneity of populations; create a test to investigate how well a sample distribution fits a given distribution, calculate the sample X2 statistic; employ sample variances to compute the sample *F *statistic; discuss the notation and set up for a one way ANOVA test; discuss the notation and set up for a two way ANOVA test; state the criteria for setting up a rank sum test; complete a matched pair sign test; recall the criteria for setting up a rank sum test; use the distribution of ranks to complete the test; recognize the monotone relations and the Spearman rank correlation coefficient; analyze a sequence of numbers for randomness about the median; develop the analytical skills of the student in order to better comprehend various issues presented by problems involving STATISTICS.

Textbook readings; lecture, Powerpoints; handouts; chapter guided exercises; and review of problems; exams; assignments. **P****rerequisite:** MATH 101, MATH 102

In the lower division baccalaureate / associate degree category, 3 semester hours in Applied Statistics, Statistics, or Mathematics (5/22). **NOTE: **This course was previously evaluated by the American Council on Education (ACE). To view credit recommendations previously established, visit the ACE National Guide.