Download Math Analysis (MA 3162) Course: Prerequisites, Description, Objectives and more Schemes and Mind Maps Mathematical Analysis in PDF only on Docsity!
Department of Teaching & Learning
Parent/Student Course Information
MATHEMATICAL ANALYSIS
(MA 3162)
Online (MAO 162)
One credit, One year
Grades 11-
Counselors are available to assist parents and students with course selections and career planning. Parents may arrange to meet with the counselor by calling the school's guidance department.
COURSE DESCRIPTION This rigorous course extends concepts of intermediate algebra while introducing various topics of college algebra. Topics include functions, conic sections, theory of equations, matrices, sequences and series, polar coordinates, exponential and logarithmic functions and limits. Topics of trigonometry are extended.
PREREQUISITE Algebra II/Trigonometry or Algebra II and Trigonometry
OPTIONS FOR NEXT COURSE Advanced Placement Calculus AB or Advanced Placement Calculus BC Advanced Placement Computer Science A or Advanced Placement Statistics
REQUIRED TEXTBOOK Precalculus with Limits, First Edition, Young, Wiley (2010)
RECOMMENDED CALCULATOR TI-83 Plus, TI-84 Plus, TI-84 Plus C or TI-84 Plus CE or TI-Nspire
Virginia Beach Instructional Objectives Mathematical Analysis – MA
VBO# Objective Unit 1: Functions and Their Graphs MA.FN.1.1 The student will be able to identify the characteristics of functions including: intercepts, domain, range and increasing, decreasing or constant intervals, including absolute value
functions of the form
f ( x )= g ( x )+ h ( x )
where both functional parts are linear functions. (SOL MA.1) MA.FN.1.2 The student will be able to determine if symmetry exists and determine whether a function is odd, even or neither, both algebraically and graphically. (SOL MA.1) MA.FN.1.3 The student will be able to use^ transformations to sketch a graph of a function with and without graphing utilities. (SOL MA.1) MA.FN.1.4 The student will be able to find composition of functions and inverse functions algebraically and graphically. (SOL MA.2) Unit 2: Polynomials and Rational Functions MA.FN.2.1 The student will be able to thoroughly analyze and graph polynomial functions and apply the maximum and minimum values to solve problems. (SOL MA.1) MA.FN.2.2 The student will be able to thoroughly analyze and identify major characteristics of rational functions including, domain, range, zeros, intercepts and vertical or horizontal asymptotes. (SOL MA.1) MA.FN.2.3 The student will solve polynomial and rational inequalities and problems modeled by polynomial and rational inequalities. Unit 3: Exponential and Logarithmic Functions MA.FN.3.1 The student will be able to identify and use transformations to graph exponential functions.
The student should be able to define e and to make a sketch of the graph of.
x
y = e
(SOL MA.9)
MA.FN.3.2 The student will be able to identify and use transformations to graph logarithmic functions, including the natural logarithmic function. (SOL MA.9) MA.FN.3.3 The student will be able to solve exponential and logarithmic equations algebraically using properties and apply both to problem solving. (SOL MA.9) Unit 4: Trigonometric Functions and the Unit Circle MA.TR.4.1 The student will identify, create and solve real world problems involving triangles, utilizing the trigonometric functions, the Pythagorean Theorem, the Law of Sines and the Law of Cosines. (SOL MA.13) MA.TR.4.2 The student will be able to determine the value of the trigonometric ratios of the special angles and their related angles without a calculator, or given the ratio, find the angle measure. (SOL MA.13) MA.TR.4.3 The student will be able to use transformations to make a sketch for each of the six trigonometric functions and given a graph, write an equation. (SOL MA.13) Unit 5: Trigonometric Identities and Formulas MA.TR.5.1 The student will be able to apply fundamental trigonometric identities, simplify trigonometric expressions using identities and verify trigonometric identities. (SOL MA.13) Unit 6: Solving Trigonometric Equations MA.TR.6.1 The student will be able to thoroughly analyze and identify major characteristics of inverse trigonometric functions. (SOL MA.13) MA.TR.6.2 The student will be able to solve trigonometric equations using algebraic techniques, inverse functions and trigonometric identities. (SOL MA.13)
Dr. Aaron C. Spence, Superintendent Virginia Beach City Public Schools 2512 George Mason Drive, Virginia Beach, VA 23456-
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