Hi Students, this is AMAN VISHWKRMA here, and welcome to **AMBIPi Tutors**. If you are searching for * AP Precalculus Online Tutor Course Chapters Topics*, then you are at the right post. On this post, you will get the all the details about the Precalculus Online Course, that will taught by me (AMAN VISHWKRMA).

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

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Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

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## About AP Precalculus Course

AP Precalculus prepares you for other college-level mathematics and science courses. A college precalculus course or a college algebra with trigonometry course. AP Exams are standardized exams designed to measure how well you’ve mastered the content and skills of a specific AP course. It is recommended taking the AP Exam after taking an AP course, it is not required by College Board. However, some schools require that students taking an AP class take the exam.

## Precalculus Course Content

The Precalculus course has following four units:

Unit 1: Polynomial and Rational Functions

Unit 2: Exponential and Logarithmic Functions

Unit 3: Trigonometric and Polar Functions

Unit 4: Functions Involving Parameters, Vector and Matrices

## Precalculus Textbook Chapters

The Precalculus textbook has following chapters and their topics:

### Precalculus Course Chapter 1: Functions and Graphs

In this chapter, you will study about the following topics and subtopics:

**Topic 1.1: Modeling and Equation Solving **

In this topics, you will study about

- Numerical Models,
- Algebraic Models,
- Graphical Models,
- The Zero Factor Property,
- Problem Solving Skills,
- Grapher Failure and Hidden Behavior,
- Deductive Reasoning,

**Topic 1.2: Functions and Their Properties**

In this topics, you will study about

- Functions Definition and Notations,
- Domain and Range,
- Dependent and Independent Variables,
- Mapping,
- Continuity,
- Removable Discontinuity,
- Jump Discontinuity,
- Infinite Discontinuity,
- Increasing and Decreasing Functions,
- Boundedness,
- Upper Bound and Lower Bound,
- Local and Absolute Extrema,
- Symmetry,
- Asymptotes,
- End Behavior,

**Topic 1.3: Twelve Basic Functions**

In this topics, you will study about

- Identity Function,
- Squaring Function,
- Cubing Function,
- Square Root Function,
- Reciprocal Function,
- Exponential Function,
- Logarithmic Function,
- Sine Function,
- Cosine Function,
- Absolute Function,
- Greatest Integer Function,
- Logistic Function
- Analyzing Function Graphically

**Topic 1.4: Building Functions from Functions**

In this topics, you will study about

- Combining Function Algebraically,
- Composition of Functions,
- Relations and Implicit Defined Function,

**Topic 1.5: Parametric Relations and Inverses**

In this topics, you will study about

- Relation Defined Parametrically
- Inverse Relations and Inverse Functions
- Horizontal and Vertical Line Test,
- One to One Function,
- Reflection,
- Verifying Inverse Function,

**Topic 1.6: Graphical Transformations**

In this topics, you will study about

- Transformations,
- Rigid and Nonrigid,
- Vertical and Horizontal Translation,
- Reflection Across Axes,
- Vertical and Horizontal Stretches and Shrinks,
- Combining Transformation,

**Topic 1.7: Modeling with Functions**

In this topics, you will study about

- Functions from Formulas
- Functions from Graphs,
- Functions from Verbal Description,
- Functions from Data,

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

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### Precalculus Tutor Chapter 2: Polynomial, Power and Rational Functions

In this chapter, you will study about the following topics and subtopics:

**Topic 2.1: Linear and Quadratic Functions and Modeling**

In this topics, you will study about

- Polynomial Function,
- Linear Function,
- Graph of Linear Functions,
- Average Rate of Change,
- Linear Correlation and Modeling,
- Quadratic Functions,
- Graph of Quadratic Functions,
- Standard Form of Quadratic Equation,
- Vertex Form of Quadratic Equation,
- Application of Quadratic Equations

**Topic 2.2: Power Functions with Modeling**

In this topics, you will study about

- Power Function,
- Constant of Variation,
- Direct and Indirect Variation,
- Monomial Function,
- Cubing Function,
- Graph of Power Function,
- Square Root Function,
- Modeling with Power Function,

**Topic 2.3: Polynomial Functions of Higher Degree with Modeling**

In this topics, you will study about

- Graphs of Polynomial Functions
- Graph of Cubic Function
- Graph of Quartic Function
- Graphical Transformation of Monomial Function
- Graphical Combination of Monomial Function
- End Behavior of Polynomial Function,
- Zero of Polynomial Function,
- Intermediate Value Function Modeling,

**Topic 2.4: Real Zeros of Polynomial Functions**

In this topics, you will study about

- Long Division
- Division Algorithm
- Remainder Theorems
- Factor Theorems,
- Synthetic Division,
- Rational Zeros Theorem,
- Upper and Lower Bound,

**Topic 2.5: Complex Zeros and the Fundamental Theorem of Algebra**

In this topics, you will study about

- Fundamental Theorem of Algebra,
- Linear Factorization Theorem,
- Fundamental Polynomial Connections in the Complex Case,
- Complex Conjugate Zeros,
- Finding a Polynomial from Given Zeros,
- Factoring a Polynomial with Complex Zeros,
- Finding Complex Zeros,
- Factoring with Real Number Coefficients,
- Factors of a Polynomial with Real Coefficients,
- Polynomial Function of Odd Degree

**Topic 2.6: Graphs of Rational Functions**

In this topics, you will study about

- Rational Functions,
- Finding the Domain of a Rational Function,
- Transformations of the Reciprocal Function,
- Transforming the Reciprocal Function,
- Limits and Asymptotes,
- Graph of a Rational Function,
- Vertical, Horizontal and Slant Asymptotes,
- Graphing a Rational Function,
- Analyzing Graphs of Rational Functions,
- Finding an End Behavior Asymptote,
- Exploring Relative Humidity,

**Topic 2.7: Solving Equations in One Variable**

In this topics, you will study about

- Solving Rational Equations
- Extraneous solutions
- Applications

**Topic 2.8: Solving Inequalities in One Variable**

In this topics, you will study about

- Polynomial Inequalities,
- Finding Where a Polynomial Is Zero, Positive, or Negative,
- Sketching a Graph of a Polynomial from Its Sign Chart,
- Solving a Polynomial Inequality Analytically,
- Solving a Polynomial Inequality Graphically,
- Solving a Polynomial Inequality with Unusual Answers,
- Rational Inequalities,
- Creating a Sign Chart for a Rational Function,
- Solving an Inequality Involving a Radical,
- Solving an Inequality Involving Absolute Value,

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

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### Pre Calc Online Course Chapter 3: Exponential, Logistic, and Logarithmic Functions

In this chapter, you will study about the following topics and subtopics:

**Topic 3.1: Exponential and Logistic Functions**

In this topics, you will study about

- Algebraic Function,
- Transcendental Function,
- Exponential Function,
- Exponential Growth and Decay,
- Graph of Exponential Function,
- Transforming Exponential Functions,
- The natural Base e,
- Exponential Functions and the Base e,
- Logistic Functions and Their Graphs,
- Logistic Growth Function,
- Logistic Decay Functions,
- Population Models,

**Topic 3.2: Exponential and Logistic Modeling**

In this topics, you will study about

- Constant Percentage Rate,
- Exponential Functions,
- Exponential Population Model,
- Finding Growth and Decay Rates,
- Finding an Exponential Function,
- Exponential Growth and Decay Models,
- Radioactive Decay,
- Half Life,
- Modeling Radioactive Decay,
- Determining Altitude from Atmospheric Pressure,
- Using Regression to Model Population,
- Maximum Sustainable Population,
- Other Logistic Models,

**Topic 3.3: Logarithmic Functions and Their Graphs**

In this topics, you will study about

- Inverses of Exponential Functions
- Logarithmic function with base b,
- Changing Between Logarithmic and Exponential Form
- Basic Properties of Logarithms,
- Evaluating Logarithmic and Exponential Expressions,
- Comparing Exponential and Logarithmic Functions,
- Common Logarithms—Base 10,
- Basic Properties of Common Logarithms
- Natural Logarithms—Base e,
- Basic Properties of Natural Logarithms,
- Graphs of Logarithmic Functions,
- The Natural Logarithmic Function,
- Measuring Sound Using Decibels

**Topic 3.4: Properties of Logarithmic Functions**

In this topics, you will study about

- Product Rule
- Quotient Rule
- Power Rule
- Change of Base
- Graphs of Logarithmic Functions with Base b
- Re-expressing Data

**Topic 3.5: Equation Solving and Modeling**

In this topics, you will study about

- Solving Exponential Equations
- One-to-One Properties
- Solving an Exponential Equation Algebraically
- Solving an Exponential Equation
- Solving Logarithmic Equations
- Orders of Magnitude and Logarithmic Models
- Comparing Scientific Notation and Common Logarithms
- Comparing Earthquake Intensities
- Comparing Chemical Acidity
- Newton’s Law of Cooling
- Logarithmic Re-expression
- Linear regression
- Natural logarithmic regression
- Exponential Regression
- Power regression

**Topic 3.6: Mathematics of Finance**

In this topics, you will study about

- Interest Compounded Annually
- Interest Compounded k Times per Year
- Interest Compounded Continuously
- Compound Interest—Value of an Investment
- Annual Percentage Yield
- Annuities—Future Value
- Future Value of an Annuity
- Loans and Mortgages—Present Value
- Present Value of an Annuity

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

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### Pre Calc Trigonometry Chapter 4: Trigonometric Functions

In this chapter, you will study about the following topics and subtopics:

**Topic 4.1: Angles and Their Measures**

In this topics, you will study about

- The Problem of Angular Measure
- Degrees and Radians
- Degree-Radian Conversion
- Circular Arc Length
- Arc Length Formula (Radian Measure)
- Arc Length Formula (Degree Measure)
- Angular and Linear Motion

**Topic 4.2: Trigonometric Functions of Acute Angles**

In this topics, you will study about

- Right Triangle Trigonometry,
- Trigonometric Functions, Two Famous Triangles,
- Evaluating Trigonometric Functions with a Calculator
- Common Calculator Errors When Evaluating Trig Functions
- Applications of Right Triangle Trigonometry

**Topic 4.3: Trigonometry Extended: The Circular Functions**

In this topics, you will study about

- Trigonometric Functions of Any Angle
- Positive and Negative Angles
- Coterminal Angles
- Trigonometric Functions of any Angle
- Reference triangle
- Trigonometric Functions of Real Numbers
- Periodic Functions
- The 16-Point Unit Circle

**Topic 4.4: Graphs of Sine and Cosine: Sinusoids**

In this topics, you will study about

- The Basic Waves Revisited
- The Sine Function
- The Cosine Function
- Sinusoids and Transformations
- Amplitude of a Sinusoid
- Finding the Frequency of a Sinusoid
- Graphs of Sinusoids
- Modeling Periodic Behavior with Sinusoids
- Constructing a Sinusoidal Model Using Time

**Topic 4.5: Graphs of Tangent, Cotangent, Secant, and Cosecant**

In this topics, you will study about

- The Tangent Function
- The Cotangent Function
- The Secant Function
- Solving a Trigonometric Equation Algebraically
- The Cosecant Function

**Topic 4.6: Graphs of Composite Trigonometric Functions**

In this topics, you will study about

- Combining Trigonometric and Algebraic Functions,
- Sums and Differences of Sinusoids,
- Sums That Are Sinusoid Functions,
- Damped Oscillation,

**Topic 4.7: Inverse Trigonometric Functions**

In this topics, you will study about

- Inverse Sine Function,
- Inverse Cosine Function,
- Inverse Tangent Function,
- Composing Trigonometric and Inverse Trigonometric Functions,
- Applications of Inverse Trigonometric Functions,

**Topic 4.8: Solving Problems with Trigonometry**

In this topics, you will study about

- More Right Triangle Problems,
- Simple Harmonic Motion,

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

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### Pre Calc Tutor Chapter 5: Analytic Trigonometry

In this chapter, you will study about the following topics and subtopics:

**Topic 5.1: Fundamental Identities**

In this topics, you will study about

- Identities,
- Basic Trigonometric Identities,
- Pythagorean Identities,
- Cofunction Identities,
- Odd-Even Identities,
- Simplifying Trigonometric Expressions,
- Solving Trigonometric Equations,

**Topic 5.2: Proving Trigonometric Identities**

In this topics, you will study about

- A Proof Strategy,
- Proving Identities,
- Disproving Non-Identities,
- Identities in Calculus,

**Topic 5.3: Sum and Difference Identities**

In this topics, you will study about

- Cosine of a Difference,
- Cosine of a Sum,
- Sine of a Difference or Sum,
- Tangent of a Difference or Sum,
- Verifying a Sinusoid Algebraically,

**Topic 5.4: Multiple-Angle Identities**

In this topics, you will study about

- Double-Angle Identities
- Power-Reducing Identities
- Half-Angle Identities
- Solving Trigonometric Equations

**Topic 5.5: The Law of Sines**

In this topics, you will study about

- Deriving the Law of Sines
- Solving Triangles (AAS, ASA),
- The Ambiguous Case (SSA),
- Applications

**Topic 5.6: The Law of Cosines**

In this topics, you will study about

- Deriving the Law of Cosines,
- Solving Triangles (SAS, SSS),
- Triangle Area and Heron’s Formula,

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

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### Pre Calculus Tutoring Chapter 6: Applications of Trigonometry

In this chapter, you will study about the following topics and subtopics:

**Topic 6.1: Vectors in the Plane**

In this topics, you will study about

- Two-Dimensional Vectors,
- Head Minus Tail (HMT) Rule,
- Magnitude, Vector Operations,
- Vector Addition and Scalar Multiplication,
- Unit Vectors,
- Direction Angles,
- Resolving the Vector,
- Applications of Vectors,

**Topic 6.2: Dot Product of Vectors**

In this topics, you will study about

- The Dot Product
- Angle Between Vectors,
- Orthogonal Vectors,
- Projecting One Vector onto Another,
- Work

**Topic 6.3: Parametric Equations and Motion**

In this topics, you will study about

- Parametric Equations,
- Parametric Curves,
- Eliminating the Parameter,
- Lines and Line Segments,
- Simulating Motion with a Grapher,

**Topic 6.4: Polar Coordinates**

In this topics, you will study about

- Polar Coordinate System,
- Coordinate Conversion,
- Equation Conversion,
- Finding Distance Using Polar Coordinates,

**Topic 6.5: Graphs of Polar Equations**

In this topics, you will study about

- Polar Curves,
- Parametric Curves,
- Symmetry,
- Symmetry Tests for Polar Graphs,
- Analyzing Polar Graphs,
- Limaçon Curves,
- Other Polar Curves,

**Topic 6.6: De Moivre’s Theorem and nth Roots**

In this topics, you will study about

- The Complex Plane
- Absolute Value (Modulus) of a Complex Number
- Trigonometric Form of Complex Numbers
- Multiplication and Division of Complex Numbers
- Product and Quotient of Complex Numbers
- Proof of the Product Formula
- Powers of Complex Numbers
- De Moivre’s Theorem
- Roots of Complex Numbers
- Finding nth Roots of a Complex Number

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

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### Pre Calculus Tutoring Online Chapter 7: Systems and Matrices

In this chapter, you will study about the following topics and subtopics:

**Topic 7.1: Solving Systems of Two Equations**

In this topics, you will study about

- The Method of Substitution,
- Solving Systems Graphically,
- The Method of Elimination,
- Applications,

**Topic 7.2: Matrix Algebra**

In this topics, you will study about

- Matrices,
- Matrix Addition and Subtraction,
- Computing with Matrices,
- Matrix Multiplication,
- Identity and Inverse Matrices,
- Determinant of a Square Matrix,
- Inverses of Matrices,
- Applications

**Topic 7.3: Multivariate Linear Systems and Row Operations**

In this topics, you will study about

- Triangular Form for Linear Systems,
- Gaussian Elimination,
- Equivalent Systems of Linear Equations,
- Elementary Row Operations,
- Row Echelon Form of a Matrix,
- Reduced Row Echelon Form,
- Solving Systems with Inverse Matrices,
- Invertible Square Linear Systems,
- Applications

**Topic 7.4: Partial Fractions**

In this topics, you will study about

- Partial Fraction Decomposition,
- Denominators with Linear Factors,
- Denominators with Irreducible Quadratic Factors,
- Applications

**Topic 7.5: Systems of Inequalities in Two Variables**

In this topics, you will study about

- Graph of an Inequality
- Systems of Inequalities
- Linear Programming

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

For More Details:Click Here to WhatsApp |

### Chapter 8: Analytic Geometry in Two and Three Dimensions

In this chapter, you will study about the following topics and subtopics:

**Topic 8.1: Conic Sections and Parabolas**

In this topics, you will study about

- Conic Sections
- Geometry of a Parabola
- Parabola
- Parabolas with Vertex (0, 0)
- Translations of Parabolas
- Reflective Property of a Parabola

**Topic 8.2: Ellipses**

In this topics, you will study about

- Geometry of an Ellipse
- Finding the Vertices and Foci of an Ellipse
- Translations of Ellipses
- Orbits and Eccentricity
- Eccentricity of an Ellipse
- Reflective Property of an Ellipse

**Topic 8.3: Hyperbolas**

In this topics, you will study about

- Geometry of a Hyperbola
- Finding the Vertices and Foci of a Hyperbola
- Finding an Equation and Graphing a Hyperbola
- Translations of Hyperbolas
- Finding an Equation of a Hyperbola
- Graphing a Hyperbola Using Its Parametric Equations
- Eccentricity and Orbits
- Reflective Property of a Hyperbola
- Long-Range Navigation

**Topic 8.4: Translation and Rotation**

In this topics, you will study about

- Second-Degree Equations in Two Variables
- Graphing a Second-Degree Equation
- Translating Axes Versus Translating Graphs
- Translation-of-Axes Formulas
- Rotation of Axes
- Coefficients for a Conic in a Rotated System
- Angle of Rotation to Eliminate the Cross-Product Term
- Discriminant Test

**Topic 8.5: Polar Equations of Conics of Axes**

In this topics, you will study about

- Eccentricity Revisited
- Focus-Directrix Definition of a Conic Section
- Writing Polar Equations for Conics
- Graphing Polar Equations of Conics
- Writing and Graphing Polar Equations of Conics
- Analyzing Polar Equations of Conics
- Orbits Revisited
- Analyzing a Planetary Orbit

**Topic 8.6: Three-Dimensional Cartesian Coordinate System**

In this topics, you will study about

- Three-Dimensional Cartesian Coordinates
- Distance and Midpoint Formulas
- Equation of a Sphere
- Planes and Other Surfaces
- Equation for a Plane in Cartesian Space
- Vectors in Space
- Lines in Space
- Equations for a Line in Space

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

For More Details:Click Here to WhatsApp |

### Precalculus Course Chapter 9: Discrete Mathematics

In this chapter, you will study about the following topics and subtopics:

**Topic 9.1: Basic Combinatorics**

In this topics, you will study about

- Discrete Versus Continuous
- The Importance of Counting
- The Multiplication Principle of Counting
- Permutations
- Distinguishable Permutations
- Permutation Counting Formula
- Combinations
- Combination Counting Formula
- Subsets of an n-Set
- Formula for Counting Subsets of an n-Set

**Topic 9.2: The Binomial Theorem**

In this topics, you will study about

- Powers of Binomials
- Binomial Coefficients
- Pascal’s Triangle
- Recursion Formula for Pascal’s Triangle
- The Binomial Theorem
- Factorial Identities

**Topic 9.3: Probability**

In this topics, you will study about

- Sample Spaces and Probability Functions
- Probability of an Event (Equally Likely Outcomes)
- Probability Function
- Probability of an Event (Outcomes Not Equally Likely)
- Determining Probabilities
- Multiplication Principle of Probability
- Venn Diagrams and Tree Diagrams
- Conditional Probability
- Binomial Distributions

**Topic 9.4: Sequences**

In this topics, you will study about

- Infinite Sequences
- Limits of Infinite Sequences
- Arithmetic and Geometric Sequences
- Sequences and Graphing Calculators

**Topic 9.5: Series**

In this topics, you will study about

- Summation Notation
- Sums of Arithmetic and Geometric Sequences
- Sum of a Finite Arithmetic Sequence
- Sum of a Finite Geometric Sequence
- Infinite Series
- Convergence of Geometric Series
- Sum of an Infinite Geometric Series

**Topic 9.6: Mathematical Induction**

In this topics, you will study about

- The Tower of Hanoi Problem
- The Tower of Hanoi Solution
- Principle of Mathematical Induction
- Induction and Deduction

**Topic 9.7: Statistics and Data (Graphical)**

In this topics, you will study about

- Statistics
- Displaying Categorical Data
- Stem plots
- Frequency Tables
- Histograms
- Time Plots

**Topic 9.8: Statistics and Data (Algebraic)**

In this topics, you will study about

- Parameters and Statistics
- Mean, Median, and Mode
- The Five-Number Summary
- Boxplots
- Variance and Standard Deviation
- Normal Distributions

**Topic 9.9: Statistical Literacy**

In this topics, you will study about

- The Many Misuses of Statistics
- Correlation Revisited
- Correlation Correctness
- The Importance of Randomness
- Surveys and Observational Studies
- Experimental Design
- Using Randomness
- Probability Simulations

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

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### Chapter 10: An Introduction to Calculus: Limits, Derivatives, and Integrals

In this chapter, you will study about the following topics and subtopics:

**Topic 10.1: Limits and Motion: The Tangent Problem**

In this topics, you will study about

- Average Velocity
- Instantaneous Velocity
- Limits Revisited
- The Connection to Tangent Lines
- The Derivative

**Topic 10.2: Limits and Motion: The Area Problem**

In this topics, you will study about

- Distance from a Constant Velocity
- Distance from a Changing Velocity
- Limits at Infinity
- The Connection to Areas
- The Definite Integral

**Topic 10.3: More on Limits**

In this topics, you will study about

- A Little History
- Defining a Limit Informally
- Limit at a
- Properties of Limits
- Limits of Continuous Functions
- One-Sided and Two-Sided Limits
- Limits Involving Infinity
- Limits at Infinity
- Investigating a Logistic Function

**Topic 10.4: Numerical Derivatives and Integrals**

In this topics, you will study about

- Derivatives on a Calculator
- Numerical Derivative
- Definite Integrals on a Calculator
- Computing a Derivative from Data
- Computing a Definite Integral from Data

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

For More Details:Click Here to WhatsApp |

### AP Precalc: Additional Toipcs

In this chapter, you will study about the following topics and subtopics:

**Topic A.1: Numerical Derivatives and Integrals**

In this topics, you will study about

- Radicals
- Simplifying Radical Expressions
- Rationalizing the Denominator
- Rational Exponents

**Topic A.2: Polynomials and Factoring**

In this topics, you will study about

- Adding, Subtracting, and Multiplying Polynomials
- Special Products
- Factoring Polynomials Using Special Products
- Factoring Trinomials
- Factoring by Grouping

**Topic A.3: Fractional Expressions**

In this topics, you will study about

- Domain of an Algebraic Expression
- Reducing Rational Expressions
- Operations with Rational Expressions
- Compound Rational Expressions

**Topic A.4: Logic: An Introduction **

In this topics, you will study about

- Statements
- Compound Statements
- Conditionals and Biconditionals

Online Precalculus Course |

One to One Student Class Fee: 20 USD Per Hour |

One to Five Student Class Fee: 15 USD Per Hour |

Batch 1 Timing (IST-Indian Standard Time): 3:00 AM to 4:00 AM |

Batch 2 Timing (IST-Indian Standard Time): 4:00 AM to 5:00 AM |

Batch 3 Timing (IST-Indian Standard Time): 5:00 AM to 6:00 AM |

Batch 4 Timing (IST-Indian Standard Time): 6:00 AM to 7:00 AM |

Batch 5 Timing (IST-Indian Standard Time): 7:00 AM to 8:00 AM |

Batch 6 Timing (IST-Indian Standard Time): 8:00 AM to 9:00 AM |

For More Details:Click Here to WhatsApp |