PPT-Algebra unit 4: Graphs of equations and functions

Unit 4 PowerPoint The coordinate Plane The coordinate plane Review Overview 4 quadrants Labeled with x and y axis X axis is horizontal Y axis is vertical Labeled with coordinates x y Labeling points. Calculus Functions of single variable Limit con tinuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Curl Vector identities Di e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Calculus Functions of single variable limit continuity and differentiability mean value theorems evaluation of definite and improper integrals partia l derivatives total derivative maxima and minima gradient divergence and curl vector identities dir How can we use it?. PEC. . 2015. What topics can we use it for?. by . Chizuko. Matsumoto & Sweeny Term. Chapter-Lesson . Topic. 2-1. Model One-Step Equations. 2-4. Model Equations with Variables on Both Sides. (what is that?). What . is linear algebra? Functions and equations that arise in the "real world" often involve many tens or hundreds or thousands of variables, and one can only deal with such things by being much more organized than one typically is when treating equations and functions of a single variable. Linear algebra is essentially a ". Introduction. This chapter focuses on basic manipulation of Algebra. It also goes over rules of Surds and Indices. It is essential that you understand this whole chapter as it links into most of the others!. Anne Watson. Winchester 2014. Big issues (for today). Algebra. Division. What is algebra?. What are the pre-algebraic and algebraic experiences appropriate for primary children?. ACME comments. Expectations of algebraic thinking could be based on reasoning about relations between quantities, such as patterns, structure, equivalence, . Anne Watson. South West, 2012. What is algebra?. What are the pre-algebraic experiences appropriate for . primary children?. Hypothetical ....... ....... but still a valuable exercise. Sources. Draft curriculum. Fall 2010. Sukumar Ghosh. Boolean Algebra. In 1938, Shannon showed how the basic rules of logic. first given by George Boole in his 1854 publication . The Laws of Thought. , can be used to design circuits. is a set . B. of values together with: . - two binary operations, commonly denoted by and ∙ , . - a unary operation, usually denoted by . ˉ or ~ or . ’. ,. - two elements usually called . Using Algebra Tiles to Solve Equations, Combine Like Terms, and use the Distributive Property. Important Vocabulary! . Equation –. An equation is a mathematical statement that uses an equal sign to show that two expressions have the same value.. Test Design. Performance Level Indicators. Algebra 1 . Keystones. Eligible Content – Test Design – Performance Level Indicators. Ms. Clarkson. Ms. . Hetrick. Ms. Sirio. Eligible Content. Eligible . -4 x - 2 y = -12 4 x + 8 y = -24 2) 4 x + 8 y = 20 -4 x + 2 y = -30 3) x - y = 11 2 x + y = 19 4) -6 x + 5 y = 1 6 x + 4 y = -10 5) -2 x - 9 y = -25 -4 x - 9 y = -23 6) and . Vector Calculus . and . Calculus of several Variables. Details of the Course M - 107. Math - 107 . Vectors and Matrices (3+0) credit-hours.. 1438– 1439 . H. 2. Dr.Khawaja. Zafar . Elahi.