Unit: Polynomials & Rational Functions Chapter: Structure & Behaviour of Polynomial & Rational Functions Reference: – Polynomial Degree and Leading Coefficient, Zeros of Polynomial Functions, End Behavior of Polynomials, Graphical Behavior Near Zeros, Structure of Rational Functions, Zeros of Rational Functions, End Behavior of Rational Functions, Vertical Asymptotes, Holes in Rational Functions, Equivalent Algebraic Representations, […]
Unit: Polynomials & Rational Functions Chapter: Dynamics of Change in Functions Reference: – Understanding Change in Tandem, Average Rate of Change, Instantaneous Rate of Change (Intro), Rates of Change in Linear Functions, Rates of Change in Quadratic Functions, Comparing Linear vs. Quadratic Rates of Change, Rates of Change in Higher-Degree Polynomials, Graphical Interpretation of Rates […]
Unit: Polynomial & Rational Function Chapter: Change of Quantity & Behaviour of Functions Reference: – Degree coefficient, Leading coefficient, Polynomial function, Behavior of function, Positive infinity, Negative infinity, Zeros & Factors, Multiplicity of zeros, Turning points, Graphical Behavior, Rational functions, Vertical Asymptotes, Horizontal Asymptotes, Oblique Asymptotes After studying this chapter, you should be able […]
Unit: Functions involves Parameters, Vectors & Matrices Chapter: Vectors for Motion of Object Reference: – Basic vectors, Scalar, Vector, Vector representation, Vector addition, Vector subtraction, Position, Displacement & Velocity, Velocity vectors, Acceleration, Projectile motion, Effect of gravity, Tangent vectors, Normal vectors, Arc length, path Integral. After studying this chapter, you should be able to: […]
Unit: Functions involves Parameters, Vectors & Matrices Chapter: Transformational Matrix on a graphical object Reference: – Matrix and their types, Addition of matrix, Subtraction of matrix, Multiplication of matrix, Properties of scalar multiplication, Transpose of a matrix, Elementary Operation of a matrix, Invertible matrices. After studying this chapter, you should be able to: Introduction […]
Unit: Functions involves Parameters, Vectors & Matrices Chapter: Modeling change using Matrices Reference: – Linear Transformations, Matrix Multiplication, Composition of Transformation & properties, Eigen values & eigen vectors, Stretching, Shrinking effect of transformation, Matrix Diagonalization, Markov chains, Differential Equations, Data analysis & Dimensionality reduction, Graph theory. After studying this chapter, you should be […]