\r\nCourse Materials<\/strong><\/td>\r\nYES<\/strong><\/td>\r\nNO<\/strong><\/td>\r\n<\/tr>\r\n\r\n| OHM Questions?<\/td>\r\n | <\/td>\r\n | \u00a0X<\/td>\r\n<\/tr>\r\n | \r\n| Editable Text?<\/td>\r\n | X<\/td>\r\n | <\/td>\r\n<\/tr>\r\n | \r\n| Video Support?<\/td>\r\n | X - embedded in text<\/td>\r\n | <\/td>\r\n<\/tr>\r\n | \r\n| Written Assessments\/ Test?<\/td>\r\n | <\/td>\r\n | X<\/td>\r\n<\/tr>\r\n | \r\n| Workbook?<\/td>\r\n | <\/td>\r\n | X<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nText<\/h3>\r\nWelcome to Precalculus II, a derivative work of Jay Abramson's Preclaculus available from OpenStax. This text includes topics in trigonometry, vectors, systems of linear equations, conic sections, sequences and series and a light introduction to limits and derivatives. It is intended as use in a second semester Precalculus course. \u00a0The text is fully editable for faculty teaching at institutions who contract with Lumen Learning.\r\n\r\n \r\n\r\n \r\n\r\n \r\nAngles<\/h4>\r\n\r\n \t- Draw angles in standard position<\/li>\r\n \t
- Converting Between Degrees and Radians<\/li>\r\n \t
- Finding Coterminal Angles<\/li>\r\n \t
- Determining the Length of an Arc<\/li>\r\n \t
- Use Linear and Angular Speed to Describe Motion on a Circular Path<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Unit Circle: Sine and Cosine Functions<\/h4>\r\n\r\n \t- Finding Function Values for the Sine and Cosine<\/li>\r\n \t
- Use reference angles to evaluate trigonometric functions<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
The Other Trigonometric Functions<\/h4>\r\n\r\n \t- Find exact values of the trigonometric functions secant, cosecant, tangent, and cotangent<\/li>\r\n \t
- Using Even and Odd Trigonometric Functions<\/li>\r\n \t
- Recognize and Use Fundamental Identities<\/li>\r\n \t
- Evaluating Trigonometric Functions with a Calculator<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Right Triangle Trigonometry<\/h4>\r\n\r\n \t- Using Right Triangles to Evaluate Trigonometric Functions<\/li>\r\n \t
- Using Equal Cofunction of Complements<\/li>\r\n \t
- Using Right Triangle Trigonometry to Solve Applied Problems<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Graphs of the Sine and Cosine Functions<\/h4>\r\n\r\n \t- Graph variations of \u2009y=sin( x )\u2009 and \u2009y=cos( x )<\/li>\r\n \t
- Using Transformations of Sine and Cosine Functions<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Graphs of the Other Trigonometric Functions<\/h4>\r\n\r\n \t- Analyzing the Graph of y = tan x and Its Variations<\/li>\r\n \t
- Analyzing the Graphs of y = sec x and y = cscx and Their Variations<\/li>\r\n \t
- Analyzing the Graph of y = cot x and Its Variations<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Inverse Trigonometric Functions<\/h4>\r\n\r\n \t- Understanding and Using the Inverse Sine, Cosine, and Tangent Functions<\/li>\r\n \t
- Finding the Exact Value of Expressions Involving the Inverse Sine, Cosine, and Tangent Functions<\/li>\r\n \t
- Using a Calculator to Evaluate Inverse Trigonometric Functions<\/li>\r\n \t
- Finding Exact Values of Composite Functions with Inverse Trigonometric Functions<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Solving Trigonometric Equations Part I<\/h4>\r\n\r\n \t- Verify the fundamental trigonometric identities<\/li>\r\n \t
- Simplify trigonometric expressions using algebra and the identities<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Sum and Difference Identities<\/h4>\r\n\r\n \t- Use sum and difference formulas for cosine<\/li>\r\n \t
- Use sum and difference formulas for sine<\/li>\r\n \t
- Use sum and difference formulas for tangent<\/li>\r\n \t
- Use sum and difference formulas for cofunctions<\/li>\r\n \t
- Use sum and difference formulas to verify identities<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Double-Angle, Half-Angle, and Reduction Formulas<\/h4>\r\n\r\n \t- Using Double-Angle Formulas to Find Exact Values<\/li>\r\n \t
- Using Double-Angle Formulas to Verify Identities<\/li>\r\n \t
- Use Reduction Formulas to Simplify an Expression<\/li>\r\n \t
- Using Half-Angle Formulas to Find Exact Values<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Sum-to-Product and Product-to-Sum Formulas<\/h4>\r\n\r\n \t- Expressing Products as Sums<\/li>\r\n \t
- Expressing Sums as Products<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Solving Trigonometric Equations Part II<\/h4>\r\n\r\n \t- Solving Linear Trigonometric Equations in Sine and Cosine<\/li>\r\n \t
- Solving Equations Involving a Single Trigonometric Function<\/li>\r\n \t
- Solving Trigonometric Equations in Quadratic Form<\/li>\r\n \t
- Solving Trigonometric Equations Using Fundamental Identities<\/li>\r\n \t
- Solving Right Triangle Problems<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Modeling with Trigonometric Equations<\/h4>\r\n\r\n \t- Determining the Amplitude and Period of a Sinusoidal Function<\/li>\r\n \t
- Finding Equations and Graphing Sinusoidal Functions<\/li>\r\n \t
- Modeling Periodic Behavior<\/li>\r\n \t
- Modeling Harmonic Motion Functions<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Non-right Triangles: Law of Sines<\/h4>\r\n \r\n\r\n \t- Using the Law of Sines to Solve Oblique Triangles<\/li>\r\n \t
- Finding the Area of an Oblique Triangle Using the Sine Function<\/li>\r\n \t
- Solving Applied Problems Using the Law of Sines<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Non-right Triangles: Law of Cosines<\/h4>\r\n\r\n \t- Using the Law of Cosines to Solve Oblique Triangles<\/li>\r\n \t
- Solving Applied Problems Using the Law of Cosines<\/li>\r\n \t
- Using Heron\u2019s Formula to Find the Area of a Triangle<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Polar Coordinates<\/h4>\r\n \r\n\r\n \r\n\r\n \t- Plotting Points Using Polar Coordinates<\/li>\r\n \t
- Converting Between Polar Coordinates to Rectangular Coordinates<\/li>\r\n \t
- Transforming Equations between Polar and Rectangular Forms<\/li>\r\n \t
- Identify and Graph Polar Equations by Converting to Rectangular Equations<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Polar Coordinates: Graphs<\/h4>\r\n\r\n \t- Testing Polar Equations for Symmetry<\/li>\r\n \t
- Graphing Polar Equations by Plotting Points<\/li>\r\n \t
- Graphing Circles and the 5 Classic Polar Curves<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Polar Form of Complex Numbers<\/h4>\r\n\r\n \t- Plotting Complex Numbers in the Complex Plane<\/li>\r\n \t
- Finding the Absolute Value of a Complex Number<\/li>\r\n \t
- Writing Complex Numbers in Polar Form<\/li>\r\n \t
- Converting a Complex Number from Polar to Rectangular Form<\/li>\r\n \t
- Finding Products and Quotients of Complex Numbers in Polar Form<\/li>\r\n \t
- Finding Powers and Roots of Complex Numbers in Polar Form<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Parametric Equations<\/h4>\r\n\r\n \t- Parameterizing a Curve<\/li>\r\n \t
- Methods for Finding Cartesian and Polar Equations from Curves<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Parametric Equations: Graphs<\/h4>\r\n\r\n \t- Graphing Parametric Equations by Plotting Points<\/li>\r\n \t
- Applications of Parametric Equations<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Vectors<\/h4>\r\n \r\n\r\n \r\n\r\n \t- Finding Magnitude and Direction<\/li>\r\n \t
- Performing Vector Addition and Scalar Multiplication<\/li>\r\n \t
- Finding the Unit Vector in the Direction of v<\/li>\r\n \t
- Performing Operations with Vectors in Terms of i and j<\/li>\r\n \t
- Calculating the Component Form of a Vector: Direction<\/li>\r\n \t
- Finding the Dot Product of Two Vectors<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Systems of Linear Equations: Two Variables<\/h4>\r\n\r\n \t- Solving Systems of Equations by Graphing<\/li>\r\n \t
- Solving Systems of Equations by Substitution<\/li>\r\n \t
- Solving Systems of Equations in Two Variables by the Addition Method<\/li>\r\n \t
- Identifying and Expressing Solutions to Systems of Equations<\/li>\r\n \t
- Using Systems of Equations to Investigate Profits<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Systems of Linear Equations: Three Variables<\/h4>\r\n\r\n \t- Solving Systems of Three Equations in Three Variables<\/li>\r\n \t
- Inconsistent and Dependent Systems in Three Variables<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Systems of Nonlinear Equations and Inequalities: Two Variables<\/h4>\r\n\r\n \t- Solving a System of Nonlinear Equations Using Substitution<\/li>\r\n \t
- Solving a System of Nonlinear Equations Using Elimination<\/li>\r\n \t
- Graphing Nonlinear Inequalities and Systems of Nonlinear Inequalities<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Partial Fractions<\/h4>\r\n\r\n \t- Decomposing P(x) \/ Q(x), Where Q(x) Has Only Nonrepeated Linear Factors<\/li>\r\n \t
- Decomposing P(x)\/ Q(x), Where Q(x) Has Repeated Linear Factors<\/li>\r\n \t
- Decomposing P(x) \/ Q(x), Where Q(x) Has a Nonrepeated Irreducible Quadratic Factor<\/li>\r\n \t
- Decomposing P(x) \/ Q(x), When Q(x) Has a Repeated Irreducible Quadratic Factor<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Matrices and Matrix Operations<\/h4>\r\n\r\n \t- Finding the Sum and Difference of Two Matrices<\/li>\r\n \t
- Finding Scalar Multiples of a Matrix<\/li>\r\n \t
- Finding the Product of Two Matrices<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Solving Systems with Gaussian Elimination<\/h4>\r\n\r\n \t- The Augmented Matrix of a System of Equations<\/li>\r\n \t
- Performing Row Operations on a Matrix<\/li>\r\n \t
- Solving a System of Linear Equations Using Matrices<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Solving Systems with Inverses<\/h4>\r\n\r\n \t- Finding the Inverse of a Matrix<\/li>\r\n \t
- Solving a System of Linear Equations Using the Inverse of a Matrix<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Solving Systems with Cramer's Rule<\/h4>\r\n \r\n\r\n \t- Using Cramer\u2019s Rule to Solve a System of Two Equations in Two Variables<\/li>\r\n \t
- Using Cramer\u2019s Rule to Solve a System of Three Equations in Three Variables<\/li>\r\n \t
- Understanding Properties of Determinants<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
The Ellipse<\/h4>\r\n\r\n \t- Writing Equations of Ellipses in Standard Form<\/li>\r\n \t
- Deriving the Equation of an Ellipse Centered at the Origin<\/li>\r\n \t
- Writing Equations of Ellipses Not Centered at the Origin<\/li>\r\n \t
- Graphing Ellipses<\/li>\r\n \t
- Solving Applied Problems Involving Ellipses<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
The Hyperbola<\/h4>\r\n\r\n \t- Locating the Vertices and Foci of a Hyperbola<\/li>\r\n \t
- Deriving the Equation of a Hyperbola Centered at the Origin<\/li>\r\n \t
- Writing Equations of Hyperbolas in Standard Form<\/li>\r\n \t
- Graphing Hyperbolas<\/li>\r\n \t
- Solving Applied Problems Involving Hyperbolas<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
The Parabola<\/h4>\r\n\r\n \t- Graphing Parabolas with Vertices at the Origin<\/li>\r\n \t
- Writing Equations of Parabolas in Standard Form<\/li>\r\n \t
- Graphing Parabolas with Vertices Not at the Origin<\/li>\r\n \t
- Solving Applied Problems Involving Parabolas<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Rotation of Axes<\/h4>\r\n\r\n \t- Identifying Nondegenerate Conics in General Form<\/li>\r\n \t
- Finding a New Representation of the Given Equation after Rotating through a Given Angle<\/li>\r\n \t
- Writing Equations of Rotated Conics in Standard Form<\/li>\r\n \t
- Identifying Conics without Rotating Axes<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Conic Sections in Polar Coordinates<\/h4>\r\n\r\n \t- Identifying a Conic in Polar Form<\/li>\r\n \t
- Graphing the Polar Equations of Conics<\/li>\r\n \t
- De\ufb01ning Conics in Terms of a Focus and a Directrix<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Sequences and Their Notations<\/h4>\r\n\r\n \t- Writing the Terms of a Sequence Defined by an Explicit Formula<\/li>\r\n \t
- Investigating Alternating Sequences<\/li>\r\n \t
- Investigating Explicit Formulas<\/li>\r\n \t
- Writing the Terms of a Sequence Defined by a Recursive Formula<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Arithmetic Sequences<\/h4>\r\n\r\n \t- Finding Common Differences<\/li>\r\n \t
- Using Formulas for Arithmetic Sequences<\/li>\r\n \t
- Finding the Number of Terms in a Finite Arithmetic Sequence<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Geometric Sequences<\/h4>\r\n\r\n \t- Finding Common Ratios<\/li>\r\n \t
- Writing Terms of Geometric Sequences<\/li>\r\n \t
- Solving Application Problems with Geometric Sequences<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Series and Their Notations<\/h4>\r\n \r\n\r\n \t- Using Summation Notation<\/li>\r\n \t
- Using the Formula for Arithmetic Series<\/li>\r\n \t
- Using the Formula for Geometric Series<\/li>\r\n \t
- Finding Sums of Infinite Series<\/li>\r\n \t
- Solving Annuity Problems<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Counting Principles<\/h4>\r\n\r\n \t- Using the Addition and Multiplication Principles<\/li>\r\n \t
- Finding the Number of Permutations of n Distinct Objects<\/li>\r\n \t
- Find the Number of Combinations Using the Formula<\/li>\r\n \t
- Finding the Number of Subsets of a Set<\/li>\r\n \t
- Finding the Number of Permutations of n Non-Distinct Objects<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Binomial Theorem<\/h4>\r\n\r\n \t- Identifying Binomial Coefficients<\/li>\r\n \t
- Using the Binomial Theorem<\/li>\r\n \t
- Using the Binomial Theorem to Find a Single Term<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Probability<\/h4>\r\n\r\n \t- Constructing Probability Models<\/li>\r\n \t
- Computing the Probability of the Union of Two Events<\/li>\r\n \t
- Computing the Probability of Mutually Exclusive Events<\/li>\r\n \t
- Using the Complement Rule to Compute Probabilities<\/li>\r\n \t
- Computing Probability Using Counting Theory<\/li>\r\n<\/ul>\r\n
Finding Limits: Numerical and Graphical Approaches<\/h3>\r\n \r\n\r\n \t- Understanding Limit Notation<\/li>\r\n \t
- Understanding Left-Hand Limits and Right-Hand Limits<\/li>\r\n \t
- Finding a Limit Using a Graph<\/li>\r\n \t
- Finding a Limit Using a Table<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Finding Limits: Properties of Limits<\/h4>\r\n\r\n \t- Finding the Limit of a Sum, a Difference, and a Product<\/li>\r\n \t
- Finding the Limit of Some Basic Mathematical Expressions<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Continuity<\/h4>\r\n \r\n\r\n \t- Determining Whether a Function Is Continuous at a Number<\/li>\r\n \t
- Identifying Discontinuities<\/li>\r\n \t
- Recognizing Continuous and Discontinuous Real-Number Functions<\/li>\r\n \t
- Determining the Input Values for Which a Function Is Discontinuous<\/li>\r\n \t
- Determining Whether a Function Is Continuous<\/li>\r\n<\/ul>\r\n \r\n\r\n \r\n
Derivatives<\/h4>\r\n\r\n \t- Finding the Average Rate of Change of a Function<\/li>\r\n \t
- Understanding the Instantaneous Rate of Change<\/li>\r\n \t
- Derivatives: Interpretations and Notation<\/li>\r\n \t
- Finding Derivatives of Rational Functions<\/li>\r\n \t
- Finding Derivatives of Functions with Roots<\/li>\r\n \t
- Finding Instantaneous Rates of Change<\/li>\r\n \t
- Using Graphs to Find Instantaneous Rates of Change<\/li>\r\n \t
- Finding Points Where a Function\u2019s Derivative Does Not Exist<\/li>\r\n \t
- Finding an Equation of a Line Tangent to the Graph of a Function<\/li>\r\n<\/ul>\r\n \r\n\r\n ","rendered":"
Content Overview<\/h2>\n\n\n\nCourse Materials<\/strong><\/td>\nYES<\/strong><\/td>\nNO<\/strong><\/td>\n<\/tr>\n\n| OHM Questions?<\/td>\n | <\/td>\n | \u00a0X<\/td>\n<\/tr>\n | \n| Editable Text?<\/td>\n | X<\/td>\n | <\/td>\n<\/tr>\n | \n| Video Support?<\/td>\n | X – embedded in text<\/td>\n | <\/td>\n<\/tr>\n | \n| Written Assessments\/ Test?<\/td>\n | <\/td>\n | X<\/td>\n<\/tr>\n | \n| Workbook?<\/td>\n | <\/td>\n | X<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nText<\/h3>\nWelcome to Precalculus II, a derivative work of Jay Abramson’s Preclaculus available from OpenStax. This text includes topics in trigonometry, vectors, systems of linear equations, conic sections, sequences and series and a light introduction to limits and derivatives. It is intended as use in a second semester Precalculus course. \u00a0The text is fully editable for faculty teaching at institutions who contract with Lumen Learning.<\/p>\n <\/p>\n <\/p>\n <\/p>\n Angles<\/h4>\n\n- Draw angles in standard position<\/li>\n
- Converting Between Degrees and Radians<\/li>\n
- Finding Coterminal Angles<\/li>\n
- Determining the Length of an Arc<\/li>\n
- Use Linear and Angular Speed to Describe Motion on a Circular Path<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Unit Circle: Sine and Cosine Functions<\/h4>\n\n- Finding Function Values for the Sine and Cosine<\/li>\n
- Use reference angles to evaluate trigonometric functions<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n The Other Trigonometric Functions<\/h4>\n\n- Find exact values of the trigonometric functions secant, cosecant, tangent, and cotangent<\/li>\n
- Using Even and Odd Trigonometric Functions<\/li>\n
- Recognize and Use Fundamental Identities<\/li>\n
- Evaluating Trigonometric Functions with a Calculator<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Right Triangle Trigonometry<\/h4>\n\n- Using Right Triangles to Evaluate Trigonometric Functions<\/li>\n
- Using Equal Cofunction of Complements<\/li>\n
- Using Right Triangle Trigonometry to Solve Applied Problems<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Graphs of the Sine and Cosine Functions<\/h4>\n\n- Graph variations of \u2009y=sin( x )\u2009 and \u2009y=cos( x )<\/li>\n
- Using Transformations of Sine and Cosine Functions<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Graphs of the Other Trigonometric Functions<\/h4>\n\n- Analyzing the Graph of y = tan x and Its Variations<\/li>\n
- Analyzing the Graphs of y = sec x and y = cscx and Their Variations<\/li>\n
- Analyzing the Graph of y = cot x and Its Variations<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Inverse Trigonometric Functions<\/h4>\n\n- Understanding and Using the Inverse Sine, Cosine, and Tangent Functions<\/li>\n
- Finding the Exact Value of Expressions Involving the Inverse Sine, Cosine, and Tangent Functions<\/li>\n
- Using a Calculator to Evaluate Inverse Trigonometric Functions<\/li>\n
- Finding Exact Values of Composite Functions with Inverse Trigonometric Functions<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Solving Trigonometric Equations Part I<\/h4>\n\n- Verify the fundamental trigonometric identities<\/li>\n
- Simplify trigonometric expressions using algebra and the identities<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Sum and Difference Identities<\/h4>\n\n- Use sum and difference formulas for cosine<\/li>\n
- Use sum and difference formulas for sine<\/li>\n
- Use sum and difference formulas for tangent<\/li>\n
- Use sum and difference formulas for cofunctions<\/li>\n
- Use sum and difference formulas to verify identities<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Double-Angle, Half-Angle, and Reduction Formulas<\/h4>\n\n- Using Double-Angle Formulas to Find Exact Values<\/li>\n
- Using Double-Angle Formulas to Verify Identities<\/li>\n
- Use Reduction Formulas to Simplify an Expression<\/li>\n
- Using Half-Angle Formulas to Find Exact Values<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Sum-to-Product and Product-to-Sum Formulas<\/h4>\n\n- Expressing Products as Sums<\/li>\n
- Expressing Sums as Products<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Solving Trigonometric Equations Part II<\/h4>\n\n- Solving Linear Trigonometric Equations in Sine and Cosine<\/li>\n
- Solving Equations Involving a Single Trigonometric Function<\/li>\n
- Solving Trigonometric Equations in Quadratic Form<\/li>\n
- Solving Trigonometric Equations Using Fundamental Identities<\/li>\n
- Solving Right Triangle Problems<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Modeling with Trigonometric Equations<\/h4>\n\n- Determining the Amplitude and Period of a Sinusoidal Function<\/li>\n
- Finding Equations and Graphing Sinusoidal Functions<\/li>\n
- Modeling Periodic Behavior<\/li>\n
- Modeling Harmonic Motion Functions<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Non-right Triangles: Law of Sines<\/h4>\n <\/p>\n \n- Using the Law of Sines to Solve Oblique Triangles<\/li>\n
- Finding the Area of an Oblique Triangle Using the Sine Function<\/li>\n
- Solving Applied Problems Using the Law of Sines<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Non-right Triangles: Law of Cosines<\/h4>\n\n- Using the Law of Cosines to Solve Oblique Triangles<\/li>\n
- Solving Applied Problems Using the Law of Cosines<\/li>\n
- Using Heron\u2019s Formula to Find the Area of a Triangle<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Polar Coordinates<\/h4>\n <\/p>\n <\/p>\n \n- Plotting Points Using Polar Coordinates<\/li>\n
- Converting Between Polar Coordinates to Rectangular Coordinates<\/li>\n
- Transforming Equations between Polar and Rectangular Forms<\/li>\n
- Identify and Graph Polar Equations by Converting to Rectangular Equations<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Polar Coordinates: Graphs<\/h4>\n\n- Testing Polar Equations for Symmetry<\/li>\n
- Graphing Polar Equations by Plotting Points<\/li>\n
- Graphing Circles and the 5 Classic Polar Curves<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Polar Form of Complex Numbers<\/h4>\n\n- Plotting Complex Numbers in the Complex Plane<\/li>\n
- Finding the Absolute Value of a Complex Number<\/li>\n
- Writing Complex Numbers in Polar Form<\/li>\n
- Converting a Complex Number from Polar to Rectangular Form<\/li>\n
- Finding Products and Quotients of Complex Numbers in Polar Form<\/li>\n
- Finding Powers and Roots of Complex Numbers in Polar Form<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Parametric Equations<\/h4>\n\n- Parameterizing a Curve<\/li>\n
- Methods for Finding Cartesian and Polar Equations from Curves<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Parametric Equations: Graphs<\/h4>\n\n- Graphing Parametric Equations by Plotting Points<\/li>\n
- Applications of Parametric Equations<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Vectors<\/h4>\n <\/p>\n <\/p>\n \n- Finding Magnitude and Direction<\/li>\n
- Performing Vector Addition and Scalar Multiplication<\/li>\n
- Finding the Unit Vector in the Direction of v<\/li>\n
- Performing Operations with Vectors in Terms of i and j<\/li>\n
- Calculating the Component Form of a Vector: Direction<\/li>\n
- Finding the Dot Product of Two Vectors<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Systems of Linear Equations: Two Variables<\/h4>\n\n- Solving Systems of Equations by Graphing<\/li>\n
- Solving Systems of Equations by Substitution<\/li>\n
- Solving Systems of Equations in Two Variables by the Addition Method<\/li>\n
- Identifying and Expressing Solutions to Systems of Equations<\/li>\n
- Using Systems of Equations to Investigate Profits<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Systems of Linear Equations: Three Variables<\/h4>\n\n- Solving Systems of Three Equations in Three Variables<\/li>\n
- Inconsistent and Dependent Systems in Three Variables<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Systems of Nonlinear Equations and Inequalities: Two Variables<\/h4>\n\n- Solving a System of Nonlinear Equations Using Substitution<\/li>\n
- Solving a System of Nonlinear Equations Using Elimination<\/li>\n
- Graphing Nonlinear Inequalities and Systems of Nonlinear Inequalities<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Partial Fractions<\/h4>\n\n- Decomposing P(x) \/ Q(x), Where Q(x) Has Only Nonrepeated Linear Factors<\/li>\n
- Decomposing P(x)\/ Q(x), Where Q(x) Has Repeated Linear Factors<\/li>\n
- Decomposing P(x) \/ Q(x), Where Q(x) Has a Nonrepeated Irreducible Quadratic Factor<\/li>\n
- Decomposing P(x) \/ Q(x), When Q(x) Has a Repeated Irreducible Quadratic Factor<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Matrices and Matrix Operations<\/h4>\n\n- Finding the Sum and Difference of Two Matrices<\/li>\n
- Finding Scalar Multiples of a Matrix<\/li>\n
- Finding the Product of Two Matrices<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Solving Systems with Gaussian Elimination<\/h4>\n\n- The Augmented Matrix of a System of Equations<\/li>\n
- Performing Row Operations on a Matrix<\/li>\n
- Solving a System of Linear Equations Using Matrices<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Solving Systems with Inverses<\/h4>\n\n- Finding the Inverse of a Matrix<\/li>\n
- Solving a System of Linear Equations Using the Inverse of a Matrix<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Solving Systems with Cramer’s Rule<\/h4>\n <\/p>\n \n- Using Cramer\u2019s Rule to Solve a System of Two Equations in Two Variables<\/li>\n
- Using Cramer\u2019s Rule to Solve a System of Three Equations in Three Variables<\/li>\n
- Understanding Properties of Determinants<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n The Ellipse<\/h4>\n\n- Writing Equations of Ellipses in Standard Form<\/li>\n
- Deriving the Equation of an Ellipse Centered at the Origin<\/li>\n
- Writing Equations of Ellipses Not Centered at the Origin<\/li>\n
- Graphing Ellipses<\/li>\n
- Solving Applied Problems Involving Ellipses<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n The Hyperbola<\/h4>\n\n- Locating the Vertices and Foci of a Hyperbola<\/li>\n
- Deriving the Equation of a Hyperbola Centered at the Origin<\/li>\n
- Writing Equations of Hyperbolas in Standard Form<\/li>\n
- Graphing Hyperbolas<\/li>\n
- Solving Applied Problems Involving Hyperbolas<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n The Parabola<\/h4>\n\n- Graphing Parabolas with Vertices at the Origin<\/li>\n
- Writing Equations of Parabolas in Standard Form<\/li>\n
- Graphing Parabolas with Vertices Not at the Origin<\/li>\n
- Solving Applied Problems Involving Parabolas<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Rotation of Axes<\/h4>\n\n- Identifying Nondegenerate Conics in General Form<\/li>\n
- Finding a New Representation of the Given Equation after Rotating through a Given Angle<\/li>\n
- Writing Equations of Rotated Conics in Standard Form<\/li>\n
- Identifying Conics without Rotating Axes<\/li>\n<\/ul>\n
<\/p>\n <\/p>\n Conic Sections in Polar Coordinates<\/h4>\n | | | | | | | |