Objectives: Math 151

Learning objectives will go here, in time to study for quizzes and final.

Section 1.1: Solving linear equations

• Solve linear equations with equality.
• Reduce linear equations with fractions.
• Convert between interval notation, and inequalities.
• Solve linear equations with inequalities.
• Translate a problem from words into equations.

Section 1.2 & 1.3: Lines, Graphs, and Regression

• Given a formula for a line, in any form, find its slope and intercepts.
• Given two points on a line, find the equation for the line.
• Given a point on a line and a slope find the equation for a line.
• Given the two intercepts, find the equation for the line.
• Given the y-intercept and the slope, find the equation for the line.
• Given data (three or for x- and y-values) plot the scatter plot.
• Know that the regression line is the line of "best fit" to the data; be able to sketch an approximate regression line on a scatter plot.

Section 2.1, 2.5, 2.6: Functions, Exponential and Logarithmic Functions

• Given a domain and a range (might be {Heads, Tails} or all real numbers), give an example of a function.
• Give an example of a one-to-one function, and a non-one-to-one function.
• Give an example of a relation that is not a function because it violates the vertical line test.
• Apply rules of exponents -- I'll give the rules to you.
• Apply rules of logarithms -- I'll give the rules to you.

Section 7.2, Chapters 8 and 9: Sets, Probability and Markov Chains

• Know what a set is and what an element of a set is; remember definitions.
• Know what subset is; remember definition.
• Know what the empty set is; remember definition.
• List all of the subsets of a two or three element set. (There are 4 subsets of a two element set, 8 or a 3 element set).
• Know what union, intersection and complement of sets are. Given sets, find them.
• Know what disjoint sets are. Be able to tell if sets are disjoint or not.
• Be able understand and use set notation.
• Know the rules of probability.
• Be able to use the rules of probability to know whether the assignment of probabilities is legitimate.
• Be able to find the probability of the union of disjoint sets.
• Know what the definition of independent events is.
• Be able to find the probability of the intersection of independent events.
• Know that probabilities don't multiply for the intersection of events that are not independent.