Unit: Differentiation-Fundamental Properties Chapter: Derivation of a Function Reference: – Derivative, Rate of change, Tangent line, Instantaneous rate of change, Slope of a line, Higher order derivatives, Differentiability, Chain rule, Product rule, Quotient rule, Dependent variables, Properties of a function, Curvature, Growth & Decay After studying this chapter, you should be able to: Basic Concept […]
Unit: Limits & Continuity Chapter: Asymptote, Squeeze & Intermediate value theorem Reference: – Behaviour of a function, Different types of Asymptotes, Continuity of a function, Piecewise functions, Existence of Root Methods, Infinite & Asymptote limits, Bisection methods, Oblique Functions, Vertical Asymptotes, Exponential functions, Logarithmic limits, Squeeze theorem, Intermediate value theorem, Rational Functions After studying this […]
Unit: Limits & Continuity Chapter: Continuity of a Function & Domain Reference: – Jump & Infinite Continuous function, Interval of continuity, Continuity & Limits, Piecewise functions, Domain Restrictions, Infinite & Asymptote limits, Uniform Continuity, Common Functions, Vertical Asymptotes, Exponential limits, Logarithmic limits, Hole in the domain, Behaviour of functions & Domain After studying this […]
Unit: Limits & Continuity Chapter: Definition & Properties of Limits Reference: – Limit laws, Epsilon-delta notation, Algebraic properties of limits, Limits functions, Continuous & Discontinuous limits, Infinite & Asymptote limits, Intermediate value theorem, L-Hospital Rule, Squeeze theorem, Exponential limits, Logarithmic limits, Concept of limits, Behaviour of limits After studying this chapter, you should be […]
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 […]
Unit: Inference for Quantitative Data: Slopes Chapter: Selecting an Appropriate Inference Procedure Reference: – Sampling methods & Bias, Confidence Intervals, Hypothesis testing, Type 1 & type 2 Errors, Paired data & Matched pair tests, Chi- squared tests, Regression & correlation, Residual Analysis, Comparing two & Multiple Means, non-parametric tests, Bootstrapping, Bias & variability, Applications. After […]
Unit: Inference for Quantitative Data: Slopes Chapter: Setting up & Carry the Testing for regression model Reference: – Regression Analysis, Scatterplot, Hypothesis testing in Regression, Coefficient of determination, Residual Analysis & Diagnostics, Analyzing scatterplot & Variance, Influential Points & Outliers, Transformation, Model Comparison & Selection, Multicollinearity, ANOVA for Regression. After studying this chapter, you should […]
Unit: Inference for Quantitative Data: Slopes Chapter: Confidence Intervals for the Slope of a regression model Reference: – Simple linear regression model, Least squares estimation, Interpreting the slopes, Sampling distribution of the slope, Standard error & Confidence interval for the slope, Hypothesis testing for slope, Degree of Freedom, Critical value & P value approach, Residual […]