Mat1000ppt Sess01
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This lesson covers chapters 1.1 through 1.5 in the Calculus I textbook, focusing on notation for intervals and functions, analyzing inequalities and absolute value expressions, adopting concepts of analytic geometry including domain and range, and graphing common functions like straight lines, quadratics, square roots, and absolute value functions. The lesson provides examples and results for students to check their work in graphing these basic functions.
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Definiteness. Each instruction must be clear and unambiguous(Unique meaning).
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Effectiveness. Every instruction must be basic enough to be carried out than, means not so complex.
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an algorithm is more abstract – it does not deal with machine-specific details – think of it as a method to solve a problem.
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Time: the algorithm should take minimum time to execute.
Space: the algorithm should use less memory.
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An algorithm is a well-defined sequence of steps that provides a solution for a given problem, while pseudocode is one of the methods that can be used to represent an algorithm.
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But pseudocode does not use specific programming language syntax and therefore could be understood by programmers who are familiar with different programming languages. Additionally, transforming an algorithm presented in pseudocode to programming code could be much easier than converting an algorithm written in natural language.
But pseudocode does not use specific programming language syntax and therefore could be understood by programmers who are familiar with different programming languages.
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College Algebra
Course Text
Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition,
McGraw-Hill, 2008, ISBN: 9780072867381 [find and buy the text: Straighterline.com/
textbooks]
Course Description
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Course Objectives
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● Simplify algebraic, rational, and radical expressions.
● Solve both linear and quadratic equations and inequalities.
● Solve word problems involving linear and quadratic equations and inequalities.
● Solve polynomial, rational, and radical equations and applications.
● Solve and graph linear, quadratic, absolute value, and piecewise-defined functions.
● Perform operations with functions as well as find composition and inverse functions.
● Graph quadratic, square root, cubic, and cube root functions.
● Graph and find zeroes of polynomial functions.
● Perform vertical and horizontal shifts and reflections of a basic graph.
● Perform stretches and compressions on a basic graph.
● Transform the graph of a general function.
● Graph quadratic functions by completing the square, using the vertex formula, and
using transformations.
● Solve and graph exponential and logarithmic equations.
● Solve systems of linear equations and inequalities.
● Model and solve applications using linear systems.
● Evaluate and find partial sums of a series.
©Copyright StraighterLine, 2010 | http://StraighterLine.com
http://www.straighterline.com/textbooks.cfm
http://www.straighterline.com/textbooks.cfm
http://www.straighterline.com/textbooks.cfm
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http://www.straighterline.com/textbooks.cfm
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http://www.straighterline.com/textbooks.cfm
http://straighterline.com
http://straighterline.com
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http://straighterline.com
http://straighterline.com
● Evaluate and find sums of arithmetic and geometric sequences.
● Solve application problems involving arithmetic and geometric sequences and series.
● Solve applications involving the various types of equations and inequalities.
Course Prerequisites
StraighterLine suggests, though does not require, that students tak.
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- 3. Objectives cont’d Perform the generalized graphing of common functions such as: Straight line Quadratic Square root Absolute-value
- 4. Notation for Intervals This lectures covers pages 1 – 11, sections 1.1 – 1.5. o o a b
- 5. Inequalities 1. 2. 3. 4.
- 7. Absolute value inequalities Example #1 if and only if which implies
- 8. Some Analytic Geometry B A
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- 15. Example #2 result Does your plot look like this? What did you do wrong or right?
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