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Pre-calculus
Pre-calculus is an advanced form of secondary school algebra. It explores the topics that will be applied in calculus. As it is a basic mathematical discipline, it needs a very strong foundation. With the help of state of art interactive technology, researched instructional material and an expert team of online math tutors, we have designed this Pre-calculus program to suit your needs. It is a highly focused program which would help you to learn from the basics at very affordable cost. Here are the topics included:

Tutoring: $17/hour
Module-I Functions and Their Graphs
  • Lines in the Plane
  • Types of Functions
  • Graphs of Functions
  • Shifting, Reflecting, and Stretching Graphs
  • Composition of Functions
  • Inverse of a Function
Module-II Polynomial and Rational Functions
  • Polynomial Functions and Models
  • Graphing Polynomial Functions
  • Zeros of Polynomial Functions
  • Complex Numbers
  • Rational Functions
  • Graph of a Rational Functions
Module-III Exponential and Logarithmic Functions
  • Exponential Functions and Their Graphs
  • Logarithmic Functions and Graphs
  • Properties of Logarithmic Functions
  • Solving Exponential and Logarithmic Equations
  • Applications and Models: Growth and Decay, and Compound Interest
Module-IV Trigonometric Functions
  • Radian and Degree Measure
  • Trigonometric Functions: The Unit Circle
  • Right Triangle Trigonometry
  • Trigonometric Functions of Any Angle
  • Graphs of Trigonometric Functions
  • Inverse Trigonometric Functions
Module-V Trigonometric Identities and Equations
  • Using Fundamental identities
  • Verifying Trigonometric identities
  • Solving Trigonometric Equations
  • Sum and Difference Formulas
  • Multiple-Angle and Product-to-Sum Formulas
Module-VI Applications of Trigonometry
  • Law of Sines
  • Law of Cosines
  • Vectors in the Plane
  • Vectors and Dot Products
  • Trigonometric Form of a Complex Number
Module-VII Systems of Equations and Matrices
  • Solving Systems of Equations
  • Systems of Linear Equations in Two Variables
  • Systems of Equations in Three Variables
  • Matrices and Systems of Equations
  • Operations with Matrices
  • The Inverse of a Square Matrix
  • The Determinant of a Square Matrix
  • Applications of Matrices and Determinants
Module-VIII Sequences, Series, and Probability
  • Sequences and Series
  • Arithmetic Sequences and Series
  • Geometric Sequences and Series
  • Mathematical Induction
  • The Binomial Theorem
  • Counting Principles
  • Probability
Module-IX Analytic Geometry
  • Introduction to Conics: Parabolas
  • The Circle and the Eclipse
  • The Hyperbola
  • Rotation and Systems of Quadratic Equations
  • Parametric Equations
  • Polar Coordinates
  • Graphs of Polar Equations
  • Polar Equations of Conics
 

Algebra -I  |  Algebra -II  |  Geometry  |  Trigonometry  |  Probability & Statistics  |  Pre-calculus
Calculus
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