MTE-03 MATHEMATICAL METHODS SYLLABUS

If you are doing BCA from IGNOU and didn’t have mathematics at 10+2 level you will have to appear for MATHEMATICAL METHODS (MTE 03) exam and you must complete MTE-03 successfully before registering for the 3rd semester of the BCA program.

However, it’s not so straightforward to successfully clear MTE 03 for those who have not even bothered to look at a mathematical equation for the last two or more years. No matter how intelligent you are, you must have forgotten most of the mathematical formulae and methods and if it happens you will become frustrated when you try solving MTE 03 questions. That’s why I am providing the topics or syllabus which comes under MTE 03 with links so that you can learn about them deeply. You can find MTE 03 study material at MyIGNOUBCA as well to know more about what exactly you have to learn for MTE 03.

MATHEMATICAL METHODS (MTE 03) SYLLABUS:

Sets, Equality of Sets, Operations on Sets, Venn diagrams, Functions, Types of Functions, Composite Functions, Operations with Functions. Graphs (Exponential and Logarithmic Functions, Trigonometric functions), Trigonometric ratios. Polynomials and Equations, Sequences and Series, Permutations and Combinations, Binomial Theorem.

Two Dimensional Coordinate System -Distance between Two points, Area of a Triangle, Equation of a Line, , Angle between Two Lines, Distance of a Point from a Line, Circle, Three Dimensional Coordinate System- Equation of a Straight Line in 3-D, The Plane, The Sphere. Vectors as directed line segments, Algebra of Vectors and their applications (addition and subtraction of vectors, resolution of vectors, dot and cross product).

Limit and Continuity, Derivative of a Function at a Point, Its Geometrical Significance, Rules for differentiation, differentiation of Trigonometric, Exponential and Logarithmic Functions, Differentiation of Inverse Algebraic and Inverse Trigonometric Functions, Chain Rule, Differentiation of Implicit Functions and Logarithmic Differentiation, Physical Aspects of Derivatives

Tangents and Normals, Higher Order Derivatives, Maxima and Minima, Asymptotes, Curve-Tracing, Functions of Two Variables, Partial Derivatives of Order Two, Homogeneous Functions, Euler’s Theorem. Antiderivatives, Integration as Inverse of Differentiation, Definite Integral as the Limit of the Sum, Properties of Definite Integrals, Fundamental Theorem of Integral Calculus Standard Integrals, Methods of Integration, Integration by Substitution, Integration by parts, Integration of Trigonometric Functions

Preliminaries, Formation of Differential Equations, Methods of Solving Differential Equations of First Order and First degree (Variables Separable, Homogeneous Equation, Exact Equations and Linear Equations).

Some Basic Definitions in Statistics, Frequency Distribution, Discrete Random Variables, Continuous Random Variables, Measures of Central Tendency and Dispersion (Mean, Mode, Median, Standard Deviation, Mean Deviation). Preliminaries: (Sample Space, Discrete Sample Space, Continuous Sample Space), Rules of Probability, Conditional Probability, Baye’s Theorem. Combination of events, Binomial Distribution, Poisson Distribution (Emphasis Through Illustrations). Continuous Random Variables, Types of Continuous Distributions (Exponential and Normal Distribution – Emphasis Through Illustrations)

Sample Selection, Random Sampling Procedure, Measure of Variation and Accuracy, Standard Error, Unbiased Estimator, Accuracy and Precision of Sample Estimator, Types of Sample Design (Random Sampling, Cluster Sampling).Statistical Hypothesis, Level of Significance, Degrees of Freedom, Chi-square Test, t-test, Analysis of Variance Correlation and scatter diagram, Correlation coefficient, Linear regression, Curve Fitting (Least Square Method).