Download Section 5.4: Factoring - Hazleton Area School District

MATHEMATICS
DEPARTMENT
HANDBOOK
2011-2012
MATHEMATICS DEPARTMENT
LIST OF COURSES
Algebra Concepts
Algebra I-K
Honors Algebra I-K
Plane Geometry
Honors Plane Geometry
Algebra II-K
Honors Algebra II-K
Probability and Statistics
Honors Probability and Statistics
Trigonometry
Honors Trigonometry
Pre-Calculus
Honors Pre-Calculus
Calculus I
Honors Calculus I
Calculus II
Honors Calculus II
Advanced Placement Calculus
Computer Science C++
Honors Computer Science
MATHEMATICS DEPARTMENT
PHILOSOPHY
The Mathematics Department of the Hazleton Area School District has
undertaken the process of curricular revision under the direction of the
Superintendent of Schools in order to accomplish the following district goals:
1.
To upgrade the curricular offerings of the H.A.S.D. to prepare
students for life in an everchanging and complex society.
2.
To coordinate instruction among all grade levels.
3.
To standardize the curriculum in all schools of the district.
4.
To involve teachers in the construction and implementation of
curriculum.
Furthermore the Mathematics Department herein sets forth its collective
beliefs regarding children, its subject, and education.
Mathematics at all levels gives the student an opportunity to use logical
thinking in problem solving. This we consider a very important overall value
to every student.
We in the Mathematics Department are trying to foster the following
values and attitudes among our students.
A.
Positive attitude towards mathematics.
B.
Independent and logical thinking.
C.
Practical application.
D.
Self-confidence.
E.
Life-long learning
Mathematics is extremely important for today’s competitive and highly
technical society. Our Mathematics personnel feel, therefore, that mathematics
instruction is of paramount importance. Our professionals are striving to help
students develop the necessary skills and attitude for success in their daily lives
as well as post-secondary education.
The fundamental goal of the Mathematics Department is to teach quality
mathematics to all students. To attain this goal we make every effort to
provide all students with a varied sequence of mathematics courses at a grade
and ability level to meet their academic and career needs. These courses not
only provide each student with a certain degree of success, but also stimulate
growth through challenging problem solving concepts.
Traditionally, our mathematics courses emphasize the basic skills and
logical reasoning, as well as the development of theory and analytical thinking.
Students are encouraged to develop problem-solving skills that will help them
in future course work and life’s challenges. The upper level mathematics
courses that are intended for post-secondary science and mathematics majors
emphasize proof and structure along with basic skills which enables our
students to compete successfully with students from other high schools. Our
career oriented mathematics sudents are provided with appropriately
challenging courses integrating mathematic skills and concepts with today
technology.
COURSE TITLE: ALGEBRA CONCEPTS
BOOK:
“Algebra I”; Author: Smith, Charles, Dossey, and Bittinger; Copyright: 2001;
Publisher: Prentice Hall.
OBJECTIVES:
Algebra I will build on the concepts of Pre-Algebra and introduce students to
the number system, solving algebraic equations and inequalities, and
factoring.
MATERIAL COVERED:
Teachers should be giving a Chapter 1 Assessment on Page 50 of the student textbook being used.
Chapter 2: Integers and Rational Numbers
*This chapter should be completed during the first week of school.
Section 2.1: Integers and number lines, Absolute values
Section 2.2: Rational numbers (Positive and Negative)
Section 2.3: Add
Section 2.4: Subtract
Section 2.5: Multiply
Section 2.6: Divide
Section 2.7: Distributive property, Factoring
Section 3.1: Addition property of equations (If necessary)
Section 3.2: Multiplication property of equalities (If necessary)
Chapter 3: Equations
Section 3.3: Using properties together
Section 3.4: Expressions and equations
Section 3.5: Solving equations. Whole numbers
Section 3.6: Decimal numbers and fractions
Section 3.9: Proportions
Section 3.10: Percent, Decimal, Fraction
Section 3.11: More Expressions and Equations
Chapter 4: Inequalities
Section 4.1: Inequalities and their graphs
Section 4.3: Multiplication property
Section 4.4: Using Inequalities
Chapter 5: Exponents
Section 5.1: Exponents
Section 5.2: More with Exponents
Section 5.3: Multiplying and dividing monomials
Section 5.5: Polynomial types
Section 5.6: More on Polynomials
Section 5.7: Adding polynomials
Section 5.8: Subtracting polynomials
Section 5.9: Multiplying of monomials and binomials
Cont’d Chapter 5: Exponents
Section 5.10: Special products
Section 5.11: Multiplying Polynomials
Chapter 6: Polynomials and Factoring
Section 6.1: Factoring
Section 6.2: Difference of two squares
Section 6.3: Trinomial Squares
Section 6.4: Factoring x2 + bx + c
Section 6.5: Factoring ax2 + bx + c
Section 6.7: Factoring a general strategy
Section 6.8: Solve equations by factoring
Section 6.9: Word problems
Chapter 7: Graphs and Linear Equations
Section 7.1: Graphing ordered pairs
Section 7.2: Graphing equations
Section 7.3: Linear equations, intercepts, standard form
Section 7.4: Slope intercept
Section 7.5: Equation and slope
Section 7.6: Finding an equation of a line
Section 7.8: Parallel and perpendicular lines
COURSE TITLE:
ALGEBRA I-K
BOOK:
Prentice Hall, “Algebra 2 with Trigonometry”, Authors: Smith, Charles, Dossey,
Bittinger; Copyright 2001
OBJECTIVES:
Algebra I will continue to build upon the Algebra Concepts course. Students will
delve into the study of Equations and Inequalities, Graphing, Systems of Equations,
Factoring, and Simplifying Polynomials.
MATERIAL COVERED:
Chapter 1: Real Numbers, Algebra, and Problem Solving
Section 1.1: Real Numbers and Operations
Section 1.3: Algebraic Expressions and Properties of Numbers
Section 1.4: The Distributive Property
Section 1.5: Solving Equations
Section 1.6: Writing Equations
Section 1.7: Exponential Notation
Section 1.8: Properties of Exponents
Chapter 2: Equations and Inequalities
Section 2.1: More on Solving Equations
Section 2.2: Using Equations
Section 2.4: Solving Inequalities
Section 2.5: Using Inequalities
Section 2.6: Compound Inequalities
Section 2.7: Absolute Value
Chapter 3: Relations, Functions, and Graphs
Section 3.1: Relations and Ordered Pairs
Section 3.2: Graphs
Section 3.3: Functions
Section 3.4: Graphs of Linear Equations
Section 3.5: Slope
Section 3.6: More Equations of Lines
Section 3.7: Parallel and Perpendicular Lines
“Best Fit” for Assessment Testing-other resource
Section 3.8: Mathematical Modeling:
Using Linear Functions
Chapter 4: Systems of Equations and Problem Solving
Section 4.1: Systems of Equations in Two Variables
Section 4.2: Solving Systems of Equations
Section 4.3: Using a System of Two Equations
Chapter 5: Polynomial and Polynomial Equations
Section 5.1: Polynomials and Functions
Section 5.2: Addition and Subtraction of Polynomials
Section 5.3: Multiplication of Polynomials
Section 5.4: Factoring
Section 5.5: More Factoring
Section 5.6: Factoring: A General Strategy
Chapter 6: Rational Expressions and Equations
Section 6.1: Multiplying and Simplifying
Section 6.2: Addition and Subtraction
Section 6.3: Complex Rational Expressions
Section 6.4: Division of Polynomials
Chapter 7: Powers, Roots, and Complex Numbers
Section 7.1: Radical Expressions
Section 7.2: Multiplying and Simplifying
Section 7.3: Operations with Radical Expressions
Section 7.4: More Operations with Radical Expressions
Chapter 15: Counting and Probability
Section 15.5: Probability
Section 15.6: Compound Probability
Chapter 16: Statistics and Data Analysis
Section 16.1: Statistics: Organizing Data
Section 16.2: Using Measures of Central Tendency
Section 16.3: Measures of Variation
COURSE TITLE:
HONORS ALGEBRA I
BOOK:
Holt, Algebra with Trigonometry, Authors: Nichols, Edwards, Garland, Hoffman,
Mamary, Palmer, Copyright 1992
OBJECTIVES:
Algebra I will continue to build upon the Algebra Concepts course. Students will
delve into the study of Equations and Inequalities, Graphing, Systems of Equations,
Factoring, and Simplifying Polynomials.
MATERIAL COVERED:
Chapter 1: Linear Equations
Section 1.1: Operations with Real Numbers
Section 1.3: Algebraic Expressions
Section 1.4: Linear Equations
Section 1.6: Problem Solving: One or More Numbers
Section 1.7: Problem Solving: Perimeter and Area
Chapter 2: Linear Inequalities
Section 2.1: Linear Inequalities
Section 2.2: Compound Inequalities
Section 2.3: Sentences with Absolute Value
Section 2.4: Problem Solving: Using Inequalities
Chapter 3: Relations, Functions: Graphing Linear Functions
Section 3.1: Relations and Functions
Section 3.2: Graphs of Functions
Section 3.3: Slope
Section 3.4: Equation of a Line
Section 3.5: Graphing Linear Relations
Section 3.6: Linear Models
Section 3.7: Parallel and Perpendicular Lines
Chapter 4: Linear Systems in Two Variables
Section 4.1: Graphing Linear Systems
Section 4.2: The Substitution Method
Section 4.3: The Linear Combination Method
Chapter 5: Polynomials
Section 5.1: Positive Integral Exponents
Section 5.2: Zero and Negative Exponents
Section 5.3: Polynomials
Section 5.4: Factoring
Section 5.5: Special Products
Section 5.6: Special Factors
Section 5.7: Combined Types of Factoring
Section 5.8: Dividing Polynomials
Chapter 7: Rational Expressions
Section 7.1: Rational Expressions
Section 7.2: Products and Quotients of Rational Expressions
Section 7.4: Sums and Differences of Rational Expressions
Section 7.5: Complex Rational Expressions
Chapter 8: Radicals and Rational Expressions
Section 8.1: Square Roots and Functions
Section 8.2: Simplifying Square Roots
Section 8.3: Sums, Differences, and Products of Square Roots
Section 8.4: Quotients of Square Roots
Section 8.5: Simplifying Radicals with Indices Greater Than 2
Chapter 14: Permutations, Combinations, and Probability
Section 14.7: Probability
Section 14.8: Adding and Multiplying Probability
Section 14.9: Selecting More Than One Object at Random
Section 14.10: Frequency Distributions
Course Name:
Book:
PLANE GEOMETRY
Prentice Hall, “Geometry”
Authors: Bass, Charles, Johnson, Kennedy
Copyright 2004
Objectives: Plane Geometry is for all college bound and career oriented students. It includes the study
of the properties of physical shapes such as angles, triangles, polygons, and circles with emphasis on
theory, problem solving and practical applications. Integrated into problem solving is the deductive
reasoning approach and the use of algebraic concepts to arrive at solutions.
MATERIAL COVERED:
Teachers must give a Chapter 1 Assessment on Page 64 of the student text book being used.
Chapter 1: Tools of Geometry
Section 1-6: Midpoint and distance
Section 1-7 Perimeters, Circumference and Areas
Chapter 2: Reasoning and Proofs
Section 2-5: Proving Angles Congruent
Chapter 3: Parallel and Perpendicular Lines
Section 3-1: Properties of Parallel Lines
Section 3-2: Proving Lines Parallel
Section 3-4: The Polygon-Angle Sum Theorems
Section 3-6 Slopes of Parallel and perpendicular lines
Chapter 4: Congruent Triangles
Section 4-1: Congruent Figures
Section 4-2: Triangle Congruence by SSS and SAS
Section 4-3: Triangle Congruence by ASA and AAS
Section 4-4: Using Congruent Triangles:CPCTC
Section 4-5: Isosceles and Equilateral Triangles
Section 4-6: Congruence in Right Triangles
Chapter 5: Relationships Within Triangles
Section 5-1: Midsegments of a Triangle
Section 5-2: Bisectors in Triangles
Section 5-3: Concurrent Lines (Medians,Altitudes, Perpendicular Bisectors, Angle Bisectors)
Section 5-5: Inequalities in Triangles
Chapter 6: Quadrilaterals
Section 6-1: Classifying Quadrilaterals
Section 6-2: Properties of Parallelograms
Section 6-3: Proving that a Quadrilateral is a Parallelogram
Section 6-4: Special Parallelogram
Section 6-5: Trapezoids and Kites
Section 6.6: Placing figures in the coordinate plane
Section 6.7: Proofs using coordinate geometry
Chapter 7: Area
Section 7-1:
Section 7-2:
Section 7-3:
Section 7-4:
Section 7-5:
Section 7-6:
Section 7-7:
Section 7.8:
Areas of Parallelograms and Triangles
The Pythagorean Theorem and its Converse
Special Right Triangles
Areas of Trapezoids, Rhombuses and Kites
Areas of Regular Polygons
Circles and Arcs
Areas of Circles and Sectors
Geometric Probability
Chapter 8: Similarity
Section 8-2 Similar Polygons
Section 8-3 Proving Triangles Similar
Section 8-4 Similarity in Right Triangles
Section 8-5: Proportions in Triangles
Section 8-6: Perimeters and Areas of Similar Figures
Chapter 9: Right Triangle Trigonometry
Section 9.1: Tangent Ratio
Section 9.2: Sine & cosine Ratios
Section 9.3
Angles of Elevation & Depression
Chapter 10: Surface Area and Volume
Section 10-3: Surface Areas of Prisms and Cylinders
Section 10-4: Surface Areas of Pyramids and Cones
Section 10-5: Volumes of Prisms and Cylinders
Section 10-6: Volumes of Pyramids and Cones
Section 10-7: Surface Area and Volume of Spheres
Section 10-8: Areas and Volumes of Similar Solids
Chapter 11: Circles
Section 11-1: Tangent Lines
Section 11-2: Chords and Arcs
Section 11-4: Angle Measures and Segment Lengths
COURSE TITLE:
HONORS PLANE GEOMETRY
BOOK:
Addison-Wesley, “Geometry”, Authors: Clemens, O’Daffer, Cooney, and Dossey;
Copyright: 1994
OBJECTIVE:
Honors Plane Geometry includes covering all the topics of Plane Geometry, but in
greater depth. Greater emphasis is placed on the application of algebraic solutions
in problem solving. Also included is the formal method of the deductive proof to
develop the topics in sequential manner, and to theoretically apply the definitions,
axioms and theorems.
Chapter 1:
Basic Ideas of Geometry
Section 1-1: Points, Lines, Plane and Space
Section 1-2: Distance and Segment Measure
Section 1-3: Rays, Angles, and Angle Measure
Section 1-4: Congruent Segments and Angles
Section 1-5: Triangles
Section 1-6: Conditional Statements
Section 1-7: Drawing and Supporting Conclusions
Section 1-8: Deductive Reasoning – Using Algebraic Properties
Chapter 2:
Introduction to Proof
Section 2-1: Two-Column Proofs
Section 2-2: Complementary, Supplementary, and Vertical Angles
Section 2-3: Perpendicular Lines
Section 2-4: Drawing and Using Diagrams
Section 2-5: Planning and Writing a Proof
Section 2-6: Proving Theorems: Segments and Lines
Section 2-7: Proving Theorems: Angles
Chapter 3:
Parallel Lines and Planes
Section 3-1: Parallel Lines, Lines, and Transversals
Section 3-2: Properties of Parallel Lines
Section 3-3: Proving Lines Parallel
Section 3-4: Angles of a Triangle
Section 3-5: Theorems Related to the Angle Sum Theorem for Triangles
Section 3-6: Angles of a Polygon
Chapter 4:
Congruent Triangles
Section 4-1: Congruent Triangles
Section 4-2: Congruence Postulates
Section 4-3: Proofs: Using Congruence Postulates
Section 4-4: Proving Angles and Segments Congruent
Section 4-5: Proofs: Overlapping Triangles
Section 4-6: Isosceles Triangles
Section 4-7: AAS Congruence and Right Triangle Congruence
Section 4-8: Medians, Altitudes, and Perpendicular Bisectors
Chapter 5:
Using Congruent Triangles and Parallel Lines
Section 5-1: Properties of Parallel Lines
Section 5-2: Proving Quadrilaterals and Parallelograms
Section 5-3: Rectangles, Rhombuses, and Squares
Section 5-4: Trapezoids
Section 5-5: The Midsegment Theorem
Section 5-6: Indirect Proof
Section 5-7: Inequalities in One Triangle
Section 5-8: Inequalities in Two Triangles
Chapter 6:
Similarity
Section 6-1:
Section 6-2:
Section 6-3:
Section 6-4:
Section 6-5:
Section 6-6:
Ratio and Proportion
Properties of Proportions
Similarity Polygons
AA Similarity Postulate
SAS and SSS Similarity Theorems
Segments Divided Proportionally
Right Triangles
Section 7-1:
Section 7-2:
Section 7-3:
Section 7-4:
Section 7-5:
Section 7-6:
Section 7-7:
Right Triangles Properties
The Pythagorean Theorem
The Converse of the Pythagorean Theorem
Special Right Triangles
The Tangent Ratio
The Sine and Cosine Ratios
Angles of Elevation and Depression
Chapter 7:
Chapter 8:
Circles
Section 8-1:
Section 8-2:
Section 8-3:
Section 8-4:
Section 8-5:
Section 8-6:
Section 8-7:
Section 8-8:
Basic Terms
Tangent Lines
Common Tangents and Tangent Circles
Arcs and Their Measures
Chords and Circles
Inscribed Angles
Angles of Chords, Secants, Tangents
Segments of Chords, Secants, Tangents
Chapter 10: Area and Perimeters of Polygons
Section 10-1: Perimeter and Area of Rectangles
Section 10-2: Areas of Parallelograms and Triangles
Section 10-3: Areas of Trapezoids and Other Quadrilaterals
Section 10-4: Areas of Regular Polygons
Section 10-5: Ratios of Areas and Perimeters of Similar Polygons
Section 10-6: Circumference and Arc Length
Section 10-7: Areas of Circles, Sectors, and Segments
COURSE NAME:
Book:
ALGEBRA II-K
Title: “College Algebra”; Authors: R. David Gustafson and Peter D. Frisk;
Publisher: Thomson/ Brooks/ Cole; Copyright: 2004
OBJECTIVES: The Algebra II-K course is the second level in the study of algebra. The concepts learned
in Algebra I are reviewed and expanded into the study of products and factors of polynomials, operations
on rational expressions, the complex number system, and quadratic equations and inequalities. Higher
order polynomial equations and selected analytical geometric concepts are introduced as the students
expand their algebraic skills and knowledge to prepare for higher-level mathematics.
Material Covered:
Chapter 0: Basic Algebra
Section 0.2
Integer exponents and scientific notation
Section 0.3
Rational exponents and radicals
Section 0.5
Factoring polynomials
Section 0.6
Algebraic Functions
Chapter 1: Equations and Inequalities
Section 1.1
Solving equations
Section 1.2
Applications of linear equations
Section 1.3
Solving quadratic equations
Section 1.4
Applications of quadratic equations
Section 1.5
The Complex number system
Section 1.6
Polynomial and radical equations
Chapter 2: Graphs of Equations
Section 2.3
Writing of linear equations (Unit 5 Lesson 4 – PSSA Finish Line)
Section 2.5
Proportion and variation (supplemental material)
Chapter 3: Functions
Section 3.1
Functions and function notation
Section 3.2
Quadratic functions
Section 3.3
Polynomials and Other Functions (supplemental material)
Section 3.4
Translating and Stretching Graphs
Section 3.5
Rational Functions
Section 3.7
Inverse functions
Chapter 4
Section 4.1
Exponential Functions and Their Graphs
Section 4.2
Applications of Exponential Functions
Section 4.3
Logarithmic Functions and Their Graphs
Section 4.4
Applications of Logarithmic Functions
Section 4.5
Properties of Logarithms
Section 4.6
Exponential and Logarithmic Equations
Chapter 8: Probability
Section 8.2
Sequences, Series, and Summation Notation
Section 8.3
Arithmetic Sequences
Section 8.4
Geometric Sequences
Section 8.6
Permutations and Combinations
Section 8.7
Probability
Section 8.8
Computation of Compound Probabilities
Section 8.9
Odds and Mathematical Expectation
COURSE NAME:
Book:
HONORS ALGEBRA II-K
Title: “Structure and Method Book 2”; Authors: Brown, Dolciani, Sorgenfrey, Kane
Publisher: Houghton Mifflin; Copyright: 1994
OBJECTIVES: The Honors Algebra II-K course is the second level in the study of algebra. The concepts
learned in Algebra I are reviewed and expanded into the study of products and factors of polynomials,
operations on rational expressions, the complex number system, and quadratic equations and inequalities.
Higher order polynomial equations and selected analytical geometric concepts are introduced as the
students expand their algebraic skills and knowledge to prepare for higher-level mathematics.
Material Covered:
Chapter 1: Basic Concepts of Algebra
Section 1.7
Solving Equations in One Variable
Chapter 3: Linear Equations and Functions
Section 3.10
Relations
Chapter 4: Products and Factors of Polynomials
Section 4.5
Factoring Polynomials
Section 4.6
Factoring Quadratic Polynomials
Section 4.7
Solving Polynomial Equations
Chapter 5: Rational Expressions
Section 5.1
Quotients of Monomials
Section 5.2
Zero and Negative Exponents
Section 5.4
Rational Algebraic Expressions
Section 5.9
Fractional Equations
Chapter 6: Irrational and Complex Numbers
Section 6.5
Equations Containing Radicals
Section 6.7
The Imaginary Number i
Section 6.8
The Complex Numbers
Chapter 7: Quadratic Equations and Functions
Section 7.1
Completing the Square
Section 7.2
The Quadratic Formula
Section 7.5
(xh
)2
Graphing yka
Section 7.6
Quadratic Functions
Chapter 8: Variation and Polynomial Equations
Section 8.1
Direct Variation and Proportion
Section 8.2
Inverse and Joint Variation
Chapter 10: Exponential and Logarithmic Functions
Section 10.1
Rational Exponents
Section 10.2
Real Number Exponents
Section 10.3
Composition and inverses of Functions
Section 10.4
Definition of Logarithms
Section 10.5
Laws of Logarithms
Section 10.6
Applications of Logarithms
Section 10.7
Problem Solving: Exponential Growth and Decay
Section 10.8
The Natural Logarithm Function
Chapter 11: Sequences and Series
Section 11.1
Types of Sequences
Section 11.2
Arithmetic Sequences
Section 11.3
Geometric Sequences
Chapter 15: Statistics and Probability
Section 15.4
Correlation
Section 15.5
Fundamental Counting Principles
Section 15.6
Permutations
Section 15.7
Combinations
Section 15.9
Sample Spaces and Events
Section 15.10
Mutually Exclusive and independent Events
Chapter 9: Analytic Geometry
Section 9.2
Circles
Section 9.3
Parabolas
Section 9.4
Ellipses
Section 9.5
Hyperbolas
Course Name: Probability and Statistics (Honors and Regular)
Syllabus and PSSA Anchors
Book: The Basic Practice of Statistics 2nd Edition ; Autohor: David S. Moore; Copyright: 1995, 2000
Publisher: WH Freeman and Company; ISBN # : 0-7167-3627-6
Objectives: Prob and stat is intended for college-bound students who anticipate needing this background
for their individual course study. Students with an interest in business or the social sciences (physiology,
sociology, etc). should strongly consider taking this elective course. Probability and both descriptive and
inferential statistics will be discussed at length. The honors course covers the material in more depth, at a
more rigorous pace, with more mataerial both in text and supplementary.
Material Covered:
Chapter 1:
1.1 Displaying Distributions with Graphs
1.2 Describing Distributions with Numbers
1.3 The Normal Distributions
Chapter 2:
2.1 Scatterplots
2.2 Correlation
2.3 Least-Squares Regression
2.4 Cautions about Correlations and Regression
Chapter 3:
3.1 Designing Samples
3.2 Designing Experiments
Chapter 4:
4.1 Randomness
4.2 Probabilty Models
4.3 Sampling Distributions
Chapter 5:
5.1 General Probablity Rules
5.2 Conditional Probablity
Probability Packet
Chapter 6:
6.1 Estimating with Confidence
6.2 Tests of Significance
6.3 Making Sense of Statistical Significance
6.4 Error Probabilities and Power
Chapter 7:
7.1 Inference for the Mean of a Population
7.2 Comparing Two Means
Chapter 8:
8.1 Inference for a Population Proportion
8.2 Comparing Two Proportions
Chapter 9:
9.1 Two-Way Tables
9.2 The Chi-Square Test
*P and S = Probability and Statistics Anchors
COURSE TITLE:
TRIGONOMETRY
BOOK:
Addison Wesley Longman; “Trigonometry” 7th Edition;
Authors: Lial, Hornsby, Schneider
Copyright 2001
OBJECTIVES:
Trigonometry places emphasis on the understanding of definitions and
principles of trigonometry and their applications to problems solving.
It includes the circular function concepts, identities, radian measure,
and triangle solutions. Use of the right triangle and its properties and
applications are shown through construction and formula solution.
Scientific calculators are used heavily throughout this course.
MATERIAL COVERED:
Entire Course uses anchor M11.C.1.4.1
Chapter 1: The Trigonometric Functions
Section 1.1: Basic concepts
Section 1.2: Angles
Section 1.3: Angle Relationships and similar triangles
Section 1.4: Definitions of the trigonometric functions
Section 1.5: Using the definitions of the trigonometric functions
Chapter 2: Acute Angles and Right Angles
Section 2.1: Trigonometric functions of acute angles
Section 2.2: Trigonometric functions of non-acute angles
Section 2.3: Finding trigonometric function values using a calculator
Section 2.4: Solving right triangles
Section 2.5: Further applications of right triangles
Chapter 3: Radian Measure and the Circular Functions
Section 3.1: Radian measure
Section 3.2: Applications of radian measure
Section 3.3: Circular functions of real numbers
Section 3.4: Linear and angular velocity
Chapter 4: Graphs of the Circular Functions
Section 4.1: Graphs of the sine and cosine functions
Section 4.2: Translations of the graphs of the sine and cosine functions
Section 4.3: Graphs of the other circular functions
Chapter 5: Trigonometric Identities
Section 5.1: Fundamental identities
Section 5.2: Verifying trigonometric identities
Section 5.3: Sum and difference identities for cosine
Section 5.4: Sum and difference identities for sine and tangent
Section 5.5: Double-angle identities
Section 5.6: Half-angle identities
Chapter 6: Inverse Trigonometric Functions and Trigonometric Equations
Section 6.1: Inverse trigonometric functions
Section 6.2: Trigonometric equations I
Section 6.3: Trigonometric equations II
Section 6.4: Equations involving inverse trigonometric functions
Chapter 7: Applications of Trigonometry and Vectors
Section 7.1: Oblique triangles and the law of sines
Section 7.2: The ambiguous case of the law of sines
Section 7.3: The law of cosines
COURSE TITLE:
HONORS TRIGONOMETRY
BOOK:
Addison Wesley Longman; “Trigonometry” 7th Edition;
Authors: Lial, Hornsby, Schneider
Copyright 2001
OBJECTIVES:
Honors Trigonometry is designed for students with a strong
background in previous math courses. This course places emphasis on
the understanding of definitions and principles of trigonometry and
their applications to problems solving. It includes the circular function
concepts, identities, radian measure, and triangle solutions. Use of the
right triangle and its properties and applications are shown through
construction and formula solution. This course will cover polar
coordinates and polar graphing. Scientific calculators are used heavily
throughout this course.
MATERIAL COVERED:
Chapter 1: The Trigonometric Functions
Section 1.1: Basic concepts
Section 1.2: Angles
Section 1.3: Angle Relationships and similar triangles
Section 1.4: Definitions of the trigonometric functions
Section 1.5: Using the definitions of the trigonometric functions
Chapter 2: Acute Angles and Right Angles
Section 2.1: Trigonometric functions of acute angles
Section 2.2: Trigonometric functions of non-acute angles
Section 2.3: Finding trigonometric function values using a calculator
Section 2.4: Solving right triangles
Section 2.5: Further applications of right triangles
Chapter 3: Radian Measure and the Circular Functions
Section 3.1: Radian measure
Section 3.2: Applications of radian measure
Section 3.3: Circular functions of real numbers
Section 3.4: Linear and angular velocity
Chapter 4: Graphs of the Circular Functions
Section 4.1: Graphs of the sine and cosine functions
Section 4.2: Translations of the graphs of the sine and cosine functions
Section 4.3: Graphs of the other circular functions
Chapter 5: Trigonometric Identities
Section 5.1: Fundamental identities
Section 5.2: Verifying trigonometric identities
Section 5.3: Sum and difference identities for cosine
Section 5.4: Sum and difference identities for sine and tangent
Section 5.5: Double-angle identities
Section 5.6: Half-angle identities
Chapter 6: Inverse Trigonometric Functions and Trigonometric Equations
Section 6.1: Inverse trigonometric functions
Section 6.2: Trigonometric equations I
Section 6.3: Trigonometric equations II
Section 6.4: Equations involving inverse trigonometric functions
Chapter 7: Applications of Trigonometry and Vectors
Section 7.1: Oblique triangles and the law of sines
Section 7.2: The ambiguous case of the law of sines
Section 7.3: The law of cosines
Section 7.4: Vectors and the dot product
Section 7.5: Applications of vectors
As time allows,
Chapter 8: Complex Numbers, Polar Equations, and Parametric Equations
Section 8.1: Complex numbers
Section 8.2: Trigonometric (polar) form of complex numbers
Section 8.3: The product and quotient theorems
Section 8.4: Powers and roots of complex numbers
Section 8.5: Polar equations and graphs
Section 8.6: Parametric equations, graphs, and applications
Chapter 9: Exponential and Logarithmic Functions
Section 9.1: Exponential functions
Section 9.2: Logarithmic functions
Section 9.3: Evaluating logarithms and the change-of-base theorem
Section 9.4: Exponential and logarithmic equations
COURSE TITLE:
Pre-Calculus
BOOK:
Title: “Blitzer PRECALCULUS Third Edition” Copyright: 2007;
Publisher: Pearson Prentice Hall
OBJECTIVES:
Pre-calculus is recommended for students who have done well in previous math
courses and who have college ambitions where mat is utilized. This course provides
a rich background for calculus, analytic geometry, linear algebra, as well as a
course in functional analysis. Graphing is used to incorporate many of the
concepts taught.
MATERIAL COVERED:
Chapter P: Prerequisites: Fundamental Concepts of Algebra
Sections P.1 to P. 9 (These sections are to be used at most for two days of a review before
beginning chapter 1)
Chapter 1: Functions and Graphs
Section 1.1: Graphs and Graphing Utilities
Section 1.2: Basics of Functions and Their Graphs
Section 1.3: More on Functions and Their Graphs
Section 1.6: Transformations of Functions
Section 1.8: Inverse Functions
Section 1.10: Modeling with Functions
Chapter 2: Polynomial and Rational Functions
Section 2.2: Quadratic Functions
Section 2.3: Polynomial Functions and Their Graphs
Section 2.6: Rational Functions and Their Graphs
Section 2.7: Polynomial and Rational Inequalities
Section 2.8: Modeling Using Variation
Chapter 3: Exponential and Logarithmic Functions
Section 3.1: Exponential Functions
Section 3.2: Logarithmic Functions
Section 3.3: Properties of Logarithms
Section 3.4: Exponential and Logarithmic Equations
Section 3.5: Exponential Growth and Decay
Chapter 7: Systems of Equations and Inequalities
Section 7.1: Systems of Linear Equations in Two Variables
Section 7.2: Systems of Linear Equations in Three Variables
Section 7.3: Partial Fractions
Chapter 8: Matrices and Determinants
Section 8.1: Matrix Solutions to Linear Systems
Section 8.2: Inconsistent and Dependent Systems
Section 8.3: Matrix Operations
Section 8.4: Inverses and Matrix Equations
Section 8.5:
Determinants and Cramer’s Rule
Chapter 10: Sequences, Induction and Probability
Section 10.1: Sequences and Summation Notation
Section 10.2: Arithmetic Sequences
Section 10.3: Geometric Sequences and Series
COURSE TITLE:
Honors Pre-Calculus
BOOK:
Title: “Blitzer PRECALCULUS Third Edition”; Copyright: 2007;
Publisher: Pearson Prentice Hall
OBJECTIVES:
Honors Pre-calculus is for students whose previous math background is strong.
This course offers an excellent background in Pre-Calculus, linear algebra,
functions and a complete foundation for calculus. This particular course will also
cover some analytical geometry and the use of equations and inequalities as
mathematical models.
MATERIAL COVERED:
Chapter P: Prerequisites: Fundamental Concepts of Algebra
Sections P.1 to P. 9 (These sections are to be used for one day of a review before beginning
chapter 1)
Chapter 1: Functions and Graphs
Section 1.1: Graphs and Graphing Utilities
Section 1.2: Basics of Functions and Their Graphs
Section 1.3: More on Functions and Their Graphs
Section 1.6: Transformations of Functions
Section 1.8: Inverse Functions
Section 1.10: Modeling with Functions
Chapter 2: Polynomial and Rational Functions
Section 2.2: Quadratic Functions
Section 2.3: Polynomial Functions and Their Graphs
Section 2.6: Rational Functions and Their Graphs
Section 2.7: Polynomial and Rational Inequalities
Section 2.8: Modeling Using Variation
Chapter 3: Exponential and Logarithmic Functions
Section 3.1: Exponential Functions
Section 3.2: Logarithmic Functions
Section 3.3: Properties of Logarithms
Section 3.4: Exponential and Logarithmic Equations
Section 3.5: Exponential Growth and Decay
Chapter 7: Systems of Equations and Inequalities
Section 7.1: Systems of Linear Equations in Two Variables
Section 7.2: Systems of Linear Equations in Three Variables
Section 7.3: Partial Fractions
Chapter 8: Matrices and Determinants
Section 8.1: Matrix Solutions to Linear Systems
Section 8.2: Inconsistent and Dependent Systems
Section 8.3: Matrix Operations
Section 8.4: Inverses and Matrix Equations
Section 8.5:
Determinants and Cramer’s Rule
Chapter 10: Sequences, Induction and Probability
Section 10.1: Sequences and Summation Notation
Section 10.2: Arithmetic Sequences
Section 10.3: Geometric Sequences and Series
Section 10.4: Mathematical Induction
Section 10.5: The Binomial Theorem
Section 10.6: Permutations and Combinations
Section 10.7: Probability
As time allows,
Chapter 9: Conic Sections and Analytic Geometry
Section 9.1: The Ellipse
Section 9.2: The Hyperbola
Section 9.3: The Parabola
Section 9.4: Rotation of Axes
Section 9.5: Parametric Equations
Section 9.6: Conic Sections in Polar Coordinates
COURSE TITLE:
CALCULUS I
BOOK; Title: Calculus of a Single Variable (eighth edition); Author: Larson,
Hostetler, Edwards; Copyright: 2006; Publisher: Houghton Mifflin Company
OBJECTIVES: Calculus I uses a non-trigonometric approach to learning calculus. It
includes both derivatives and integrals of polynomials, exponential functions as well as
logarithmic functions with their applications. A strong foundation in Algebra and
graphing functions is essential.
MATERIAL COVERED:
Chapter P: Preparation for Claculus
P.I Graphs and Models
P.2 Linear Models and Rates of Change
P.3 Functions and Their Graphs
Chapter 1: Limits and Their Properties
1.1 A Preview of Calculus
1.2 Finding Limits Graphically and Numerically
1.3 Evaluating Limits Analytically
1.4 Continuity and One-Sided Limits
1.5 Infinite Limits
Chapter 2: Differentiation
2.1 The derivative and the Tangent Line Problem
2.2 Basic Differentiation Rules and Rates of Change
2.3 Product and Quotient Rules and Higher-Order Derivatives
2.4 The Chain Rule
2.5 Implicit Differentiation
2.6 Related Rates
Chapter 3: Applications of the Differentiation
3.1 Extrema on an Interval
3.2 Rolle's Theorem and the Mean Value Theorem
3.3 Increasing and Decreasing Functions and the First Derivative Test
3.4 Concavity and the Second Derivative Test
3.5 Limits at Infinity
3.6 A Summary of Curve Sketching
3.7 Optimization Problems
3.9 Differentials
Chapter 4: Integration
4.1 Anti-Derivatives and Indefinite Integration
4.2 Area
4.3 Reimann Sums and Definite Integrals
4.4 The Fundamental Theorem of Calculus
4.5 Integration by Substitution
4.6 Numerical Integration
Chapter 5: Logarithmic And Exponential Functions
5.1 The Natural Logarithmic Function: Differentiation
5.2 The Natural Logarithmic Function; Integration
5.4 Exponential Functions: Differentiation and Integration
Chapter 7: Applications of Integration
7.1 Area of a region Between Two Curves
7.2 Volume: The Disk Method
7.3 Volume: The Shell Method
COURSE TITLE:
BOOK:
HONORS CALCULUS I
Title: Elements of Calculus and Analytical Geometry; Author: Thomas and
Finney; Copyright: 1989; Publisher: Addison-Wesley Publishing Company
OBJECTIVES: Honors Calculus I is a college level calculus course designed for those
Honor students entering mathematics or science related fields. The main objective of this
course is to teach the mathematics of calculus and to provide the training students will
need to use calculus effectively in their later academic and professional work. Major
topics include differential and integral calculus along with their applications.
MATERIAL COVERED:
Chapter 1: Find the Rate of Change of a Function
1.1Plot coordinates for a plane
1.2 Find the slope of a line
1.3 Write equations for lines
1.4 Graph functions
1.5 Solve absolute values
1.6 Find tangent lines and slopes of quadratic and cubic curves
1.7 Find the derivatives of y = f(x)
1.8 Find the velocity and other rates of change
1.9 Solve for limits
1.10
Solve using infinity as a limit
1.11
Work with continuous functions
Chapter 2: Find Derivatives
2.1 Find derivatives of polynomial functions
2.2 Find derivatives of products, powers, and quotients
2.3 Derive functions implicitly/Derive functions with fractional powers
2.4 Solve linear approximations and differentials
2.5 Use the chain rule
2.6 Review concepts of trigonometry
2.7 Derivatives of trigonometric functions
2.8 Solving parametric equations
2.10 Using derivative formulas
Chapter 3: Use Applications of Derivatives
3.1 Sketch curves with the first derivative
3.2 Find concavity and points of inflection
3.3 Find asymptotes and symmetry
3.4 Use maxima and minima theory to solve problems
3.5 Applications of maxima and minima
3.6 Solve related rates of change
3.7 Use the mean-value theorem
3.8 Solve indeterminate forms and L’Hopital’s Rule
Chapter 4: Integration
4.1 Solve for the indefinitie integral
4.2 Select the values for the constant of integration
4.3 Use the substitution method of integration
4.4 Find integrals of trigonometric functions
4.5 Find the definite integral: the area under a curve
4.6 Calculate definite integrals by summation
4.7 Use the fundamental theorems of integral calculus
4.8 Use substitution of definite integrals
4.9 Use rules for approximating definite integrals
Chapter 5: Applications of Definite Integrals
5.1 Find the net change in position and distance traveled by a moving body
5.2 Find areas between curves
5.3 Calculate volumes by slicing: volumes of revolution\
5.4 Find the volumes modeled with washers and cylindrical shells
COURSE TITLE:
BOOK:
CALCULUS II
Title: Calculus of a Single Variable (eighth edition); Author: Larson, Hostetler,
Edwards; Copyright: 2006; Publisher: Houghton Mifflin Company
OBJECTIVES:
Calculus II is a course designed for those students who wish to
increase their knowledge base in calculus. Major topics will include the
various methods of integration, transcendential functions, elementary
differential equations, and application problems related to these topics.
MATERIAL COVERED:
Calculus II
I.
Chapter 2: Differentiation (Quick Review)
2.2 Basic Differentiation Rules and Rates of Change
2.3 Product and Quotient Rules and Higher Order Derivatives
2.4 The Chain Rule
2.5 Implicit Differentiation
II.
Chapter 4: Integration (Quick Review)
4.1 Antiderivatives and Indefinite Integration
4.4 The Fundamental Theorem of Calculus
4.5 Integration by Substitution
III.
Chapter 5: Logarithmic, Exponential, and Other
Transcendental Functions
5.1 The Natural Logarithmic Function: Differentiation
5.2 The Natural Logarithmic Function: Integration
5.3 Inverse Functions
5.4 Exponential Functions: Differentiation and Integration
5.5 Bases other than e and Applications
5.6 Inverse Trigonometric Functions: Differentiation
5.7 Inverse Trigonometric Functions: Integration
5.8 Hyperbolic Functions
IV.
Chapter 6: Differential Equations
6.1 Slope Fields and Euler's Method
6.2 Differential Equations: Growth and Decay
6.3 Separation of Variables and The Logistic Equation
6.4 First-Order Linear Differential Equations
V.
Chapter 7: Applications of Integration (Quick Review)
7.1 Area of a Region Between Two Curves
7.2 Volume: The Disk Method
7.4 Arc Length and Surfaces of Revolution
VI.
Chapter 8: Integration Techniques and Improper Integrals
8.1 Basic Integration Rules
8.2 Integration by Parts
8.3 Trigonometric Integrals
8.4 Trigonometric Substitution
8.5 Partial Fractions
8.6 Integration by Tables and Other Integration Techniques
8.7 Indeterminate Forms and L'Hopital's Rule
8.8 Improper Integrals
COURSE TITLE:
BOOK:
HONORS CALCULUS II
Title: Elements of Calculus and Analytical Geometry; Author: Thomas and
Finney; Copyright: 1989; Publisher: Addison-Wesley Publishing Company
OBJECTIVES:
Honors Calculus II is a course designed for those students who wish to
increase their knowledge base in calculus. Major topics will include the
various methods of integration, transcendential functions, elementary
differential equations, and application problems related to these topics.
Honors Calculus II is slightly more rigorous than Regular Calculus II.
MATERIAL COVERED:
I.
Honors Calculus II
Chapter 2: Derivatives
a. Section 6: A brief review of trigonometry
b. Section 7: Derivatives of trigonometric functions
c. Section 8: Parametric equations
II.
Chapter 4: Integration
a. Section 4:
Integrals of trigonometric functions
b. Section 5:
The area under the curve involving trigonometric
functions
III.
Chapter 5: Application of Definite Integrals
a. Section 3:
Calculating volumes by slicing volumes of
revolution
b. Section 4:
Volumes modeled with washers and cylindrical
shells
c. Section 5:
Lengths of plane curves
d. Section 7:
The average value of a function
IV.
Chapter 6: Transcendential Functions
a. Section 1:
Inverse functions
b. Section 2:
The inverse trigonometric functions
c. Section 3:
Derivatives of the inverse trigonometric
Functions: Related integrals
d. Review
1. Section 4,5: The natural logarithm y = ln x
2. Section 6,7: The exponential function ex
3. Section 8: The functions ax, au, y = log u
V.
Chapter 7: Methods of Integration
a. Section 1:
Basic integration formulas
b. Section 2:
Integration by parts
c. Section 3:
Products and powers of trigonometric functions
d. Section 4:
Even powers of sines and cosines
e. Section 5:
Trigonometric substitutions that replace a² - u², a² +
u², and u² - a² by single squared term
f. Section 6:
Integrals involving ax² + bx + c
g. Section 7:
The integration of rational functions--partial
fractions
h. Section 8:
Improper integrals
i. Section 9:
Using integral tables
VI.
Chapter 14: Differential Equations
a.
Section 1: First order differential equations of first
degree
1.
Separable equations
2.
Homogenous equations
3.
Linear equations
b. Reference Books: Reference and Review Formulas
COURSE TITLE:
BOOK:
ADVANCED PLACEMENT CALCULUS A and B
Title: Calculus Graphical, Numerical, Algebraic; Authors: Finney, Demana, Waits,
Kennedy; Copyright: 2007; Publisher: Pearson Prentice Hall Note: The textbook titled:
Elements of Calculus and Analytical Geometry; Authors: Thomas and Finney; Copyright
1989; Publisher: Addison - Wesley can be used as a supplement. Sections from this textbook
that correspond to the Finney textbook (where applicable) can be found in parentheses.
OBJECTIVES:
The Advanced Placement Calculus IA contains the selection of topics that is designed
to meet the requirements set forth hi the syllabus of the College Entrance Examination
Board for the AB examination. Major topics include differential and integral calculus
along with their applications. The A.P. students are required to take the AB level of the
Advanced Placement Examination upon completion of the course. A.P. students are
required to take Calculus for both semesters.
MATERIAL COVERED:
AP Calculus A and B
I.
Chapter 1: Prerequisites for Calculus
1.1 Lines (1.1-1.3)
1.2 Functions and Graphs (1.4)
1.3 Exponential Functions
1.4 Parametric Equations (2.8 problems 1-29)
1.5 Functions and Logarithms
1.6 Trigonometric Functions (2.6)
II.
Chapter 2: Limits and Continuity
2.1 Rates of Change and Limits (1.9)
2.2 Limits Involving Infinity (1.10)
2.3 Continuity (1.11)
2.4 Rates of Change and tangent Lines (1.7, 1.8)
III.
Chapter 3: Derivatives
3.1 Derivative (2.1)
3.2 Differentiability
3.3 Rules for Differentiation (3.3)
3.4 Velocity and Other Rates of Change (2.1, 1.8)
3.5 Derivatives of Trigonometric Functions (2.7)
3.6 Chain Rule (2.5)
3.7 Implicit Differentiation (2.3)
3.8 Derivatives of Inverse Trigonometric Functions (6.3)
3.9 Derivatives of Exponential and Logarithmic Functions (6.4-6.6)
IV.
Chapter 4: Applications of Derivatives
4.1 Extreme Value of functions (3.4)
4.2 Mean Value Theorem (3.7)
4.3 Connecting f and f' with the Graph of / (3.1)
4.4 Modeling and Optimization (3.5)
4.6 Related Rates (3.6)
Go to Chapter 8 and do Section 8.2 L'Hopital's Rule (3.8)
V.
Chapter 5: The Definite Integral
5.1 Estimating with Finite Sums (4.5)
5.2 Definite Integrals (4.5)
5.3 Definite Integrals and Antiderivadves (4.5)
5.4 Fundamental Theorem of Calculus (4.7)
5.5 Trapezoidal Rule (4.9)
VI.
Chapter 6: Differential Equations and Mathematical Modeling
6.1 Slope Fields and Euler's Method (14.9)
6.2 Antidifferentiation by Substitution (4.1-4.2)
6.3 Exponential Growth and Decay (6.9)
VII.
Chapter 7: Applications of Definite Integrals
7.1 Integral as Net Change (5.1)
7.2 Areas in a Plane (5.2)
7.3 Volumes (5.3-5.4)
Thomas book Chapter 5 Section 5.7
VIII. Review for Advanced Placement Calculus Examination
1. Reference and review formulas
2. Advanced placement examinations in calculus (materials can be obtained from the
website www.apcentral.collegeboard.com/
3. Review calculator use for the AP Exam
IX.
After Advanced Placement Exam
7.4
Lengths of Curves (5.5)
8.4 Improper Integrals (7.8)
6.4 Integration by Parts (7.2)
Thomas Text Chapter 7 Sections 7.3 to 7.10
COURSE TITLE:
Computer Science (C++)
BOOK:
Lawrenceville Press; “A Guide to Programming in C++”
Authors: Corica, Brown, Presley
Copyright 1997
OBJECTIVES: This is a powerful programming language which uses object-oriented
programming. Topics include programming skills in C++, functions,
classes, and loops. Students will learn to program in C++.
MATERIAL COVERD:
I.
Beginning C++
A. The C++ language
B. C++ program
C. C++ program Structure
D. Running a program
E. Syntax errors and warnings
F. Variations on cout
G. Displaying special characters
H. Using help
I. Program style
II.
Variables and constants
A. Using variables
B. Obtaining a value from the user
C. Using constants built-in data variable definitions expressions and operators
D. String library
E. Ignore() function
F. Formatting
III.
Controlling program flow
A. If statements; if-else statements
B. Compound statements nested and ladders
C. Logical operators looping: do-while, while, for
D. Debugging
E. Counting and summing
F. Bool library
G. Break
H. Random numbers
I. Conio library
IV.
Functions
A. The function
B. Parameters and overloading and default
C. Return statement and reference parameters
D. Documentation
E. Building a library
V.
Classes and objects (Time permitted)
A. Classes and objects
B. String
C. Ios
D. Constructors
E. Object
VI.
Math, recursion and enum (Time permitted)
A. Math library
B. Trig functions
C. Log and exponential functions
D. Other math.h functions
E. Precision
F. Recursion
G. Data storage
COURSE TITLE:
Honors
Computer Science (C++)
BOOK:
Lawrenceville Press; “A Guide to Programming in C++”
Authors: Corica, Brown, Presley
Copyright 1997
OBJECTIVES: This is a powerful programming language which uses object-oriented
programming. Topics include programming skills in C++, functions,
classes, chains, and loops. Students will learn to program in C++.
MATERIAL COVERD:
I.
Beginning C++
a. The C++ language
b. C++ program
c. C++ program Structure
d. Running a program
e. Syntax errors and warnings
f. Variations on cout
g. Displaying special characters
h. Using help
i. Program style
II.
Variables and constants
a. Using variables
b. Obtaining a value from the user
c. Using constants built-in data variable definitions expressions and operators
d. String library
e. Formatting
III.
Controlling program flow
a. If statements; if-else statements
b. Compound statements nested and ladders
c. Logical operators looping: do-while, while, for
d. Debugging
e. Counting and summing
f. Bool library
g. Break
h. Random numbers
IV.
Functions
a. The function
b. Parameters and overloading and default
c. Return statement and reference parameters
d. Documentation
e. Building a library
V.
Classes and objects
a. Classes and objects
b. String
c. Ios
d. Constructors
e. Object
VI.
Math, recursion and enum
a. Math library
b. Trig functions
c. Log and exponential functions
d. Other math.h functions
e. Precision
f. Recursion
g. Data storage