Difference between revisions of "Objectives: Math 151"
From Sean_Carver
(→Section 1.1) |
(→Section 7.2, Chapters 8 and 9: Sets, Probability and Markov Chains) |
||
| (6 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
Learning objectives will go here, in time to study for quizzes and final. | Learning objectives will go here, in time to study for quizzes and final. | ||
| − | == Section 1.1 == | + | == Section 1.1: Solving linear equations == |
* Solve linear equations with equality. | * Solve linear equations with equality. | ||
| Line 9: | Line 9: | ||
* Translate a problem from words into equations. | * Translate a problem from words into equations. | ||
| − | == Section 1.2 & 1.3 == | + | == Section 1.2 & 1.3: Lines, Graphs, and Regression == |
* Given a formula for a line, in any form, find its slope and intercepts. | * Given a formula for a line, in any form, find its slope and intercepts. | ||
| Line 18: | Line 18: | ||
* Given data (three or for x- and y-values) plot the scatter plot. | * 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. | * 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. | ||
Latest revision as of 23:45, 7 August 2018
Learning objectives will go here, in time to study for quizzes and final.
Contents
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.
