## 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; to simplify a variable expression using addition, multiplication, and the Distributive Property; to translate a verbal expression into a variable expression; to determine whether a given number is a solution of an equation; to solve an equation in the form x+a=b, to solve an equation in the form ax=b; to solve uniform motion problems; to solve applications using formulas; to solve problems involving angles; to solve value mixture problems; to solve percent mixture problems; define polynomials, demonstrate addition, subtraction, multiplication, and division of polynomials; explain factoring out of a common monomial; to factor trinomials; to factor the difference of two squares and perfect square trinomial; define rational expressions; demonstrate addition, subtraction, multiplication, and division of rational expressions; to simplify complex fractions; to solve equations containing fractions; to 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; to graph an inequality in two variables; to simplify numerical radical expressions; to solve an equation containing a radical expression; calculate quadratic equations using the quadratic formulas, factoring and the Square Root Property; to solve a quadratic equation by completing the square; develop the analytical skills of the student in order to better comprehend various algebraic theories and applications.

Lecture; reading chapter, exams and discussion; handouts; and instructor slides; exercises after each chapter. **P****rerequisite:** MATH 101

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: demonstrate a 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; 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: ****T**his 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; demonstrate the usage of scientific and qualitative reasoning to convert mathematical values from the English system into the metric system, and vice versa.

Major topics include: Textbook reading; lecture; Powerpoints; worksheets; exams; lab activities; research and Powerpoint presentation by student. Prerequisite: None

In the lower division baccalaureate / associate degree category, 4 semester hours total distributed as 3 semester hours in Principles of Physics, Conceptual Physics, or Introduction to Physics, and 1 semester hour in Lab (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 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: ****T**his course was previously evaluated by the American Council on Education (ACE). To view credit recommendations previously established, visit the ACE National Guide.