1	Chapter 1 Graphs
Section 1.1:  Graphing Utilities; Introduction to Graphing Equations		1. Coordinate plane review 2. Does (x, y) satisfy the linear equation?
Section 1.1:  Graphing Utilities; Introduction to Graphing Equations
1. Coordinate plane review 2. Does (x, y) satisfy the linear equation?
Section 1.2:  The Distance and Midpoint Formulas		1. Midpoint formula: find the midpoint 2. Distance formula Also consider: • Midpoint formula: find the endpoint • Classify shapes on the coordinate plane: justify your answer
Section 1.2:  The Distance and Midpoint Formulas
1. Midpoint formula: find the midpoint 2. Distance formula Also consider: • Midpoint formula: find the endpoint • Classify shapes on the coordinate plane: justify your answer
Section 1.3:  Intercepts; Symmetry; Graphing Key Equations
Section 1.3:  Intercepts; Symmetry; Graphing Key Equations
Section 1.4:  Solving Equations Using a Graphing Utility
Section 1.4:  Solving Equations Using a Graphing Utility
Section 1.5:  Lines		1. Find the slope of a linear function 2. Graph a linear function 3. Write the equation of a linear function 4. Equations of parallel and perpendicular lines
Section 1.5:  Lines
1. Find the slope of a linear function 2. Graph a linear function 3. Write the equation of a linear function 4. Equations of parallel and perpendicular lines
Section 1.6:  Circles		1. Find properties of circles 2. Write equations of circles in standard form 3. Graph circles
Section 1.6:  Circles
1. Find properties of circles 2. Write equations of circles in standard form 3. Graph circles

2	Chapter 2 Functions and Their Graphs
Section 2.1:  Functions		1. Domain and range 2. Evaluate functions 3. Add, subtract, multiply, and divide functions
Section 2.1:  Functions
1. Domain and range 2. Evaluate functions 3. Add, subtract, multiply, and divide functions
Section 2.2:  The Graph of a Function		1. Identify functions 2. Find values using function graphs Also consider: • Complete a table for a function graph
Section 2.2:  The Graph of a Function
1. Identify functions 2. Find values using function graphs Also consider: • Complete a table for a function graph
Section 2.3:  Properties of Functions		1. Average rate of change I
Section 2.3:  Properties of Functions
1. Average rate of change I
Section 2.4:  Library of Functions; Piecewise-defined Functions		1. Even and odd functions 2. Graph piecewise-defined functions
Section 2.4:  Library of Functions; Piecewise-defined Functions
1. Even and odd functions 2. Graph piecewise-defined functions
Section 2.5:  Graphing Techniques: Transformations		Transformations 1. Function transformation rules 2. Translations of functions 3. Reflections of functions 4. Dilations of functions 5. Transformations of functions 6. Describe function transformations Graph functions 7. Graph an absolute value function 8. Graph square root functions Domain and range 9. Domain and range of absolute value functions: equations 10. Domain and range of absolute value functions: graphs 11. Domain and range of radical functions
Section 2.5:  Graphing Techniques: Transformations
Transformations 1. Function transformation rules 2. Translations of functions 3. Reflections of functions 4. Dilations of functions 5. Transformations of functions 6. Describe function transformations Graph functions 7. Graph an absolute value function 8. Graph square root functions Domain and range 9. Domain and range of absolute value functions: equations 10. Domain and range of absolute value functions: graphs 11. Domain and range of radical functions
Section 2.6:  Mathematical Models: Building Functions
Section 2.6:  Mathematical Models: Building Functions

3	Chapter 3 Linear and Quadratic Functions
Section 3.1:  Properties of Linear Functions and Linear Models		1. Identify linear functions from tables 2. Interpret the slope and y-intercept of a linear function 3. Linear functions over unit intervals
Section 3.1:  Properties of Linear Functions and Linear Models
1. Identify linear functions from tables 2. Interpret the slope and y-intercept of a linear function 3. Linear functions over unit intervals
Section 3.2:  Building Linear Models from Data		1. Calculate correlation coefficients 2. Find the equation of a regression line 3. Interpret regression lines 4. Analyze a regression line of a data set Also consider: • Match correlation coefficients to scatter plots
Section 3.2:  Building Linear Models from Data
1. Calculate correlation coefficients 2. Find the equation of a regression line 3. Interpret regression lines 4. Analyze a regression line of a data set Also consider: • Match correlation coefficients to scatter plots
Section 3.3:  Quadratic Functions and Their Properties		1. Characteristics of quadratic functions 2. Graph a quadratic function 3. Match quadratic functions and graphs 4. Write a quadratic function in vertex form from its vertex and another point Also consider: • Find the maximum or minimum value of a quadratic function • Domain and range of quadratic functions: equations
Section 3.3:  Quadratic Functions and Their Properties
1. Characteristics of quadratic functions 2. Graph a quadratic function 3. Match quadratic functions and graphs 4. Write a quadratic function in vertex form from its vertex and another point Also consider: • Find the maximum or minimum value of a quadratic function • Domain and range of quadratic functions: equations
Section 3.4:  Building Quadratic Models from Verbal Descriptions and from Data
Section 3.4:  Building Quadratic Models from Verbal Descriptions and from Data
Section 3.5:  Inequalities Involving Quadratic Functions		1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities
Section 3.5:  Inequalities Involving Quadratic Functions
1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities

4	Chapter 4 Polynomial and Rational Functions
Section 4.1:  Polynomial Functions		1. Match polynomials and graphs 2. Find the roots of factored polynomials 3. Write a polynomial from its roots
Section 4.1:  Polynomial Functions
1. Match polynomials and graphs 2. Find the roots of factored polynomials 3. Write a polynomial from its roots
Section 4.2:  The Graph of a Polynomial Function; Models		1. Domain and range of polynomials
Section 4.2:  The Graph of a Polynomial Function; Models
1. Domain and range of polynomials
Section 4.3:  The Real Zeros of a Polynomial Function		1. Descartes' Rule of Signs 2. Rational root theorem Also consider: • Divide polynomials using long division • Divide polynomials using synthetic division • Evaluate polynomials using synthetic division
Section 4.3:  The Real Zeros of a Polynomial Function
1. Descartes' Rule of Signs 2. Rational root theorem Also consider: • Divide polynomials using long division • Divide polynomials using synthetic division • Evaluate polynomials using synthetic division
Section 4.4:  Complex Zeros; Fundamental Theorem of Algebra		1. Fundamental Theorem of Algebra 2. Complex conjugate theorem 3. Conjugate root theorems Also consider: • Complex conjugates
Section 4.4:  Complex Zeros; Fundamental Theorem of Algebra
1. Fundamental Theorem of Algebra 2. Complex conjugate theorem 3. Conjugate root theorems Also consider: • Complex conjugates
Section 4.5:  Properties of Rational Functions		1. Rational functions: asymptotes and excluded values 2. Determine end behavior of rational functions
Section 4.5:  Properties of Rational Functions
1. Rational functions: asymptotes and excluded values 2. Determine end behavior of rational functions
Section 4.6:  The Graph of a Rational Function
Section 4.6:  The Graph of a Rational Function
Section 4.7:  Polynomial and Rational Inequalities
Section 4.7:  Polynomial and Rational Inequalities

5	Chapter 5 Exponential and Logarithmic Functions
Section 5.1:  Composite Functions		1. Composition of functions
Section 5.1:  Composite Functions
1. Composition of functions
Section 5.2:  One-to-One Functions; Inverse Functions		1. Identify inverse functions 2. Find inverse functions and relations 3. Check whether two rational functions are inverses 4. Graphs of inverse functions Also consider: • Find values of inverse functions from tables • Find values of inverse functions from graphs
Section 5.2:  One-to-One Functions; Inverse Functions
1. Identify inverse functions 2. Find inverse functions and relations 3. Check whether two rational functions are inverses 4. Graphs of inverse functions Also consider: • Find values of inverse functions from tables • Find values of inverse functions from graphs
Section 5.3:  Exponential Functions		1. Match exponential functions and graphs (Algebra 2) 2. Match exponential functions and graphs (Precalculus) 3. Solve exponential equations by rewriting the base Also consider: • Identify linear and exponential functions
Section 5.3:  Exponential Functions
1. Match exponential functions and graphs (Algebra 2) 2. Match exponential functions and graphs (Precalculus) 3. Solve exponential equations by rewriting the base Also consider: • Identify linear and exponential functions
Section 5.4:  Logarithmic Functions		1. Graph logarithmic functions 2. Convert between exponential and logarithmic form 3. Evaluate logarithms 4. Solve logarithmic equations with one logarithm Also consider: • Domain and range of logarithmic functions
Section 5.4:  Logarithmic Functions
1. Graph logarithmic functions 2. Convert between exponential and logarithmic form 3. Evaluate logarithms 4. Solve logarithmic equations with one logarithm Also consider: • Domain and range of logarithmic functions
Section 5.5:  Properties of Logarithms		1. Change of base formula 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Evaluate logarithms using properties
Section 5.5:  Properties of Logarithms
1. Change of base formula 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Evaluate logarithms using properties
Section 5.6:  Logarithmic and Exponential Equations		1. Solve exponential equations using logarithms 2. Solve logarithmic equations with multiple logarithms
Section 5.6:  Logarithmic and Exponential Equations
1. Solve exponential equations using logarithms 2. Solve logarithmic equations with multiple logarithms
Section 5.7:  Financial Models		1. Compound interest: word problems 2. Continuously compounded interest: word problems
Section 5.7:  Financial Models
1. Compound interest: word problems 2. Continuously compounded interest: word problems
Section 5.8:  Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models		1. Describe linear and exponential growth and decay 2. Exponential growth and decay: word problems
Section 5.8:  Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
1. Describe linear and exponential growth and decay 2. Exponential growth and decay: word problems
Section 5.9:  Building Exponential, Logarithmic, and Logistic Models from Data		1. Exponential regression
Section 5.9:  Building Exponential, Logarithmic, and Logistic Models from Data
1. Exponential regression

6	Chapter 6 Trigonometric Functions
Section 6.1:  Angles, Arc Length, and Circular Motion		1. Convert between radians and degrees 2. Radians and arc length 3. Quadrants 4. Coterminal and reference angles
Section 6.1:  Angles, Arc Length, and Circular Motion
1. Convert between radians and degrees 2. Radians and arc length 3. Quadrants 4. Coterminal and reference angles
Section 6.2:  Trigonometric Functions: Unit Circle Approach		1. Find trigonometric ratios using the unit circle 2. Find trigonometric ratios of special angles 3. Find trigonometric ratios using reference angles
Section 6.2:  Trigonometric Functions: Unit Circle Approach
1. Find trigonometric ratios using the unit circle 2. Find trigonometric ratios of special angles 3. Find trigonometric ratios using reference angles
Section 6.3:  Properties of the Trigonometric Functions		1. Complementary angle identities 2. Symmetry and periodicity of trigonometric functions 3. Find trigonometric ratios using a Pythagorean or reciprocal identity 4. Find trigonometric ratios using multiple identities
Section 6.3:  Properties of the Trigonometric Functions
1. Complementary angle identities 2. Symmetry and periodicity of trigonometric functions 3. Find trigonometric ratios using a Pythagorean or reciprocal identity 4. Find trigonometric ratios using multiple identities
Section 6.4:  Graphs of the Sine and Cosine Functions		1. Graph sine functions 2. Graph cosine functions 3. Graph sine and cosine functions
Section 6.4:  Graphs of the Sine and Cosine Functions
1. Graph sine functions 2. Graph cosine functions 3. Graph sine and cosine functions
Section 6.5:  Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Section 6.5:  Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Section 6.6:  Phase Shift; Sinusoidal Curve Fitting		Sine functions 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph translations of sine functions Cosine functions 5. Find properties of cosine functions 6. Write equations of cosine functions from graphs 7. Write equations of cosine functions using properties 8. Graph translations of cosine functions Sine and cosine functions 9. Graph translations of sine and cosine functions
Section 6.6:  Phase Shift; Sinusoidal Curve Fitting
Sine functions 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph translations of sine functions Cosine functions 5. Find properties of cosine functions 6. Write equations of cosine functions from graphs 7. Write equations of cosine functions using properties 8. Graph translations of cosine functions Sine and cosine functions 9. Graph translations of sine and cosine functions

7	Chapter 7 Analytic Trigonometry
Section 7.1:  The Inverse Sine, Cosine, and Tangent Functions
Section 7.1:  The Inverse Sine, Cosine, and Tangent Functions
Section 7.2:  The Inverse Trigonometric Functions (Continued)		1. Inverses of trigonometric functions 2. Inverses of trigonometric functions using a calculator
Section 7.2:  The Inverse Trigonometric Functions (Continued)
1. Inverses of trigonometric functions 2. Inverses of trigonometric functions using a calculator
Section 7.3:  Trigonometric Equations		1. Solve trigonometric equations
Section 7.3:  Trigonometric Equations
1. Solve trigonometric equations
Section 7.4:  Trigonometric Identities
Section 7.4:  Trigonometric Identities
Section 7.5:  Sum and Difference Formulas		1. Trigonometric sum and difference identities
Section 7.5:  Sum and Difference Formulas
1. Trigonometric sum and difference identities
Section 7.6:  Double-angle and Half-angle Formulas
Section 7.6:  Double-angle and Half-angle Formulas
Section 7.7:  Product-to-Sum and Sum-to-Product Formulas
Section 7.7:  Product-to-Sum and Sum-to-Product Formulas

8	Chapter 8 Applications of Trigonometric Functions
Section 8.1:  Right Triangle Trigonometry; Applications		1. Trigonometric ratios: find a side length 2. Trigonometric ratios: find an angle measure 3. Solve a right triangle Also consider: • Find trigonometric ratios using right triangles
Section 8.1:  Right Triangle Trigonometry; Applications
1. Trigonometric ratios: find a side length 2. Trigonometric ratios: find an angle measure 3. Solve a right triangle Also consider: • Find trigonometric ratios using right triangles
Section 8.2:  The Law of Sines		1. Law of Sines
Section 8.2:  The Law of Sines
1. Law of Sines
Section 8.3:  The Law of Cosines		1. Law of Cosines 2. Solve a triangle
Section 8.3:  The Law of Cosines
1. Law of Cosines 2. Solve a triangle
Section 8.4:  Area of a Triangle		1. Area of a triangle: sine formula 2. Area of a triangle: Heron's formula
Section 8.4:  Area of a Triangle
1. Area of a triangle: sine formula 2. Area of a triangle: Heron's formula
Section 8.5:  Simple Harmonic Motion; Damped Motion; Combining Waves
Section 8.5:  Simple Harmonic Motion; Damped Motion; Combining Waves

9	Chapter 9 Polar Coordinates; Vectors
Section 9.1:  Polar Coordinates
Section 9.1:  Polar Coordinates
Section 9.2:  Polar Equations and Graphs		1. Match polar equations and graphs
Section 9.2:  Polar Equations and Graphs
1. Match polar equations and graphs
Section 9.3:  The Complex Plane; De Moivre's Theorem		1. Introduction to the complex plane 2. Graph complex numbers 3. Find the modulus and argument of a complex number 4. Convert complex numbers between rectangular and polar form Also consider: • Convert complex numbers from rectangular to polar form • Convert complex numbers from polar to rectangular form
Section 9.3:  The Complex Plane; De Moivre's Theorem
1. Introduction to the complex plane 2. Graph complex numbers 3. Find the modulus and argument of a complex number 4. Convert complex numbers between rectangular and polar form Also consider: • Convert complex numbers from rectangular to polar form • Convert complex numbers from polar to rectangular form
Section 9.4:  Vectors		1. Find the magnitude of a vector 2. Find the direction angle of a vector 3. Find a unit vector 4. Add vectors 5. Subtract vectors 6. Multiply a vector by a scalar
Section 9.4:  Vectors
1. Find the magnitude of a vector 2. Find the direction angle of a vector 3. Find a unit vector 4. Add vectors 5. Subtract vectors 6. Multiply a vector by a scalar
Section 9.5:  The Dot Product
Section 9.5:  The Dot Product
Section 9.6:  Vectors in Space		1. Find the magnitude of a three-dimensional vector 2. Find the component form of a three-dimensional vector 3. Add and subtract three-dimensional vectors 4. Scalar multiples of three-dimensional vectors 5. Find a three-dimensional unit vector
Section 9.6:  Vectors in Space
1. Find the magnitude of a three-dimensional vector 2. Find the component form of a three-dimensional vector 3. Add and subtract three-dimensional vectors 4. Scalar multiples of three-dimensional vectors 5. Find a three-dimensional unit vector
Section 9.7:  The Cross Product
Section 9.7:  The Cross Product

10	Chapter 10 Analytic Geometry
Section 10.1:  Conics
Section 10.1:  Conics
Section 10.2:  The Parabola		1. Find properties of parabolas 2. Write equations of parabolas in vertex form 3. Graph parabolas
Section 10.2:  The Parabola
1. Find properties of parabolas 2. Write equations of parabolas in vertex form 3. Graph parabolas
Section 10.3:  The Ellipse		1. Find properties of ellipses 2. Find the eccentricity of an ellipse 3. Write equations of ellipses in standard form
Section 10.3:  The Ellipse
1. Find properties of ellipses 2. Find the eccentricity of an ellipse 3. Write equations of ellipses in standard form
Section 10.4:  The Hyperbola		1. Find properties of hyperbolas 2. Find the eccentricity of a hyperbola 3. Write equations of hyperbolas in standard form Also consider: • Convert equations of conic sections from general to standard form
Section 10.4:  The Hyperbola
1. Find properties of hyperbolas 2. Find the eccentricity of a hyperbola 3. Write equations of hyperbolas in standard form Also consider: • Convert equations of conic sections from general to standard form
Section 10.5:  Rotation of Axes; General Form of a Conic
Section 10.5:  Rotation of Axes; General Form of a Conic
Section 10.6:  Polar Equations of Conics
Section 10.6:  Polar Equations of Conics
Section 10.7:  Plane Curves and Parametric Equations
Section 10.7:  Plane Curves and Parametric Equations

11	Chapter 11 Systems of Equations and Inequalities
Section 11.1:  Systems of Linear Equations: Substitution and Elimination		Systems of equations in two variables 1. Classify a system of equations 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems 4. Solve a system of equations using substitution 5. Solve a system of equations using substitution: word problems 6. Solve a system of equations using elimination 7. Solve a system of equations using elimination: word problems Systems of equations in three variables 8. Determine the number of solutions to a system of equations in three variables 9. Solve a system of equations in three variables using substitution 10. Solve a system of equations in three variables using elimination
Section 11.1:  Systems of Linear Equations: Substitution and Elimination
Systems of equations in two variables 1. Classify a system of equations 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems 4. Solve a system of equations using substitution 5. Solve a system of equations using substitution: word problems 6. Solve a system of equations using elimination 7. Solve a system of equations using elimination: word problems Systems of equations in three variables 8. Determine the number of solutions to a system of equations in three variables 9. Solve a system of equations in three variables using substitution 10. Solve a system of equations in three variables using elimination
Section 11.2:  Systems of Linear Equations: Matrices		1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems
Section 11.2:  Systems of Linear Equations: Matrices
1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems
Section 11.3:  Systems of Linear Equations: Determinants		1. Determinant of a matrix
Section 11.3:  Systems of Linear Equations: Determinants
1. Determinant of a matrix
Section 11.4:  Matrix Algebra		Vocabulary 1. Matrix vocabulary Matrix operations 2. Matrix operation rules 3. Add and subtract matrices 4. Multiply a matrix by a scalar 5. Add and subtract scalar multiples of matrices 6. Multiply two matrices 7. Simplify matrix expressions 8. Properties of matrices Inverse matrices 9. Is a matrix invertible? 10. Inverse of a 2 x 2 matrix 11. Inverse of a 3 x 3 matrix 12. Identify inverse matrices Matrix equations 13. Solve matrix equations 14. Solve matrix equations using inverses
Section 11.4:  Matrix Algebra
Vocabulary 1. Matrix vocabulary Matrix operations 2. Matrix operation rules 3. Add and subtract matrices 4. Multiply a matrix by a scalar 5. Add and subtract scalar multiples of matrices 6. Multiply two matrices 7. Simplify matrix expressions 8. Properties of matrices Inverse matrices 9. Is a matrix invertible? 10. Inverse of a 2 x 2 matrix 11. Inverse of a 3 x 3 matrix 12. Identify inverse matrices Matrix equations 13. Solve matrix equations 14. Solve matrix equations using inverses
Section 11.5:  Partial Fraction Decomposition
Section 11.5:  Partial Fraction Decomposition
Section 11.6:  Systems of Nonlinear Equations		1. Solve a nonlinear system of equations
Section 11.6:  Systems of Nonlinear Equations
1. Solve a nonlinear system of equations
Section 11.7:  Systems of Inequalities		1. Solve systems of linear inequalities by graphing 2. Solve systems of linear and absolute value inequalities by graphing 3. Graph a two-variable linear inequality
Section 11.7:  Systems of Inequalities
1. Solve systems of linear inequalities by graphing 2. Solve systems of linear and absolute value inequalities by graphing 3. Graph a two-variable linear inequality
Section 11.8:  Linear Programming		1. Find the vertices of a solution set 2. Linear programming
Section 11.8:  Linear Programming
1. Find the vertices of a solution set 2. Linear programming

12	Chapter 12 Sequences; Induction; the Binomial Theorem
Section 12.1:  Sequences		1. Find terms of a sequence 2. Find terms of a recursive sequence 3. Introduction to sigma notation Also consider: • Identify a sequence as explicit or recursive
Section 12.1:  Sequences
1. Find terms of a sequence 2. Find terms of a recursive sequence 3. Introduction to sigma notation Also consider: • Identify a sequence as explicit or recursive
Section 12.2:  Arithmetic Sequences		1. Write a formula for an arithmetic sequence 2. Find the sum of an arithmetic series
Section 12.2:  Arithmetic Sequences
1. Write a formula for an arithmetic sequence 2. Find the sum of an arithmetic series
Section 12.3:  Geometric Sequences; Geometric Series		1. Write a formula for a geometric sequence 2. Find the sum of a finite geometric series 3. Convergent and divergent geometric series 4. Find the value of an infinite geometric series Also consider: • Find a recursive formula • Find recursive and explicit formulas • Convert between explicit and recursive formulas • Identify arithmetic and geometric series • Write a repeating decimal as a fraction
Section 12.3:  Geometric Sequences; Geometric Series
1. Write a formula for a geometric sequence 2. Find the sum of a finite geometric series 3. Convergent and divergent geometric series 4. Find the value of an infinite geometric series Also consider: • Find a recursive formula • Find recursive and explicit formulas • Convert between explicit and recursive formulas • Identify arithmetic and geometric series • Write a repeating decimal as a fraction
Section 12.4:  Mathematical Induction
Section 12.4:  Mathematical Induction
Section 12.5:  The Binomial Theorem		1. Pascal's triangle 2. Pascal's triangle and the Binomial Theorem 3. Binomial Theorem I 4. Binomial Theorem II
Section 12.5:  The Binomial Theorem
1. Pascal's triangle 2. Pascal's triangle and the Binomial Theorem 3. Binomial Theorem I 4. Binomial Theorem II

13	Chapter 13 Counting and Probability
Section 13.1:  Counting		1. Counting principle
Section 13.1:  Counting
1. Counting principle
Section 13.2:  Permutations and Combinations		1. Combinations and permutations 2. Find probabilities using combinations and permutations
Section 13.2:  Permutations and Combinations
1. Combinations and permutations 2. Find probabilities using combinations and permutations
Section 13.3:  Probability		1. Identify probability distributions 2. Calculate probabilities of events
Section 13.3:  Probability
1. Identify probability distributions 2. Calculate probabilities of events

14	Chapter 14 A Preview of Calculus: The Limit, Derivative, and Integral of a Function
Section 14.1:  Investigating Limits Using Tables and Graphs		1. Find limits using graphs 2. Determine if a limit exists
Section 14.1:  Investigating Limits Using Tables and Graphs
1. Find limits using graphs 2. Determine if a limit exists
Section 14.2:  Algebraic Techniques for Finding Limits		1. Find limits using addition, subtraction, and multiplication laws 2. Find limits using the division law 3. Find limits using power and root laws 4. Find limits of polynomials and rational functions 5. Find limits involving factorization and rationalization Also consider: • Find limits using limit laws
Section 14.2:  Algebraic Techniques for Finding Limits
1. Find limits using addition, subtraction, and multiplication laws 2. Find limits using the division law 3. Find limits using power and root laws 4. Find limits of polynomials and rational functions 5. Find limits involving factorization and rationalization Also consider: • Find limits using limit laws
Section 14.3:  One-sided Limits; Continuity		1. Find one-sided limits using graphs 2. Determine the continuity of a piecewise function at a point Also consider: • Identify graphs of continuous functions • Determine continuity using graphs • Determine one-sided continuity using graphs • Find and analyze points of discontinuity using graphs • Determine continuity on an interval using graphs
Section 14.3:  One-sided Limits; Continuity
1. Find one-sided limits using graphs 2. Determine the continuity of a piecewise function at a point Also consider: • Identify graphs of continuous functions • Determine continuity using graphs • Determine one-sided continuity using graphs • Find and analyze points of discontinuity using graphs • Determine continuity on an interval using graphs
Section 14.4:  The Tangent Problem; The Derivative		1. Find instantaneous rates of change 2. Find values of derivatives using limits 3. Find the slope of a tangent line using limits Also consider: • Velocity as a rate of change • Find equations of tangent lines using limits
Section 14.4:  The Tangent Problem; The Derivative
1. Find instantaneous rates of change 2. Find values of derivatives using limits 3. Find the slope of a tangent line using limits Also consider: • Velocity as a rate of change • Find equations of tangent lines using limits
Section 14.5:  The Area Problem; The Integral
Section 14.5:  The Area Problem; The Integral

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