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USA Grade 12 – Mathematics (Precalculus)

USA Mathematics - Precalculus

Instructor

krishna.vemula

Category

USA

USA Grade 12

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Curriculum
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SYLLABUS – Precalculus

1. Functions

Ø Functions and Relations

Ø Domain and Range

Ø Even and odd functions

Ø Transformation of functions

Ø Trigonometric equations

2. Trigonometry

Ø Graphs of Sine and cosine

Ø Transformations of sine and cosine

Ø Inverse trigonometric functions

Ø Sinusoidal equations and models

Ø Angle addition

Ø Using trigonometric identities

3. Polynomials

Ø Addition and subtraction of polynomials

Ø Division of polynomials

Ø Binomial theorem

Ø Graphs of polynomial functions and solving equations

Ø Graphing rational functions and reciprocal functions

4. Exponential and Logarithms

Ø Applications of exponential functions

Ø Logarithms

Ø Solving exponential and logarithmic equations

Ø Graphing logarithmic functions

5. Conic sections

Ø Feature of a circle

Ø Equations of a circle

Ø Center, radii, focii of an ellipse

Ø Focus and directrix of a parabola

Ø Hyperbola

6. Vectors

Ø Introduction to vectors

Ø Operations with vectors

Ø Applications of vectors

7. Complex numbers

Ø Complex numbers and imaginary numbers

Ø The complex plane: Complex numbers

Ø Addition, Subtraction and Multiplication of complex numbers

Ø Distance and midpoint of complex numbers

Ø Complex conjugates and dividing complex numbers

Ø Identities with complex numbers

Ø Absolute value and angle of complex numbers

Ø Polar form of complex numbers, multiplication and division

8. Matrices

Ø Introduction

Ø Representing linear systems of equations with augmented matrices

Ø Matrix row operations

Ø Row-echelon form and Gaussian elimination

Ø Addition, Subtraction, Multiplication of Matrices

Ø Multiplying matrices by scalars

Ø Properties of matrix addition & scalar multiplication

Ø Properties of matrix multiplication

Ø Matrices as transformations

Ø The determinant of a 2×2 matrix

Ø Finding the inverse of a matrix using its determinant

Ø Solving equations with inverse matrices

Ø Model real-world situations with matrices

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