0

Kerala syllabus plus One Mathematics pdf Study materials, in this site you will get notes that are prepared by expert teachers who had qualified Grade Examination for securing teaching appointment in the Govt. Training Colleges.

This site is designed for students who are looking to prepare for +1 exam. It contains all the study material and the notes for each chapter of syllabus. These notes have been prepared by qualified teachers who recently qualified Grade Examination conducted by Kerala State Education Board.

 Board SCERT, Kerala Text Book NCERT Based Class Plus One Subject Math's Materials Provided Notes, Textbook Solutions, Solved Question Paper Category Plus One Kerala

## Kerala Higher Secondary Plus One Math's Chapter wise Study Materials

### UNIT I: SETS AND FUNCTIONS

#### 1. Sets

Collections and their representation. empty package. Limited and infinite pillars. similar package. Subcommittees. Subgroups of the set of real numbers especially spaces (with references). Set power. normal range. Wayne Map. Union and cross-section of packages. difference package. Completing a package, features of a supplemental package.

#### 2. Relations and Functions

Ordered pairs, Cartesian product packages. The number of elements in the Cartesian multiplication of two finite columns. The real Cartesian product is itself (up to R × R × R). Contact definition, image map, domain, parallel domain and purpose of contact. act as a special kind of association from one set to another. Image representation of a function, domain, associated domain, and purpose of a function. The real variables, domains, and limits of these functions are deterministic, identifiable, polynomial, rational, modulus, sinus, and fit functions of the greatest integer.
Work with their maps. Total, Variance, Product Quantity and Operation.

#### 3. Trigonometric Function

positive and negative angles. Measurement of angles in radians and degrees and change from one dimension to another. Definition of trigonometric functions with the help of unit circle. The truth of the sine sin2 x + cos2x = 1, is all x. Signs of trigonometric functions and diagrams of their diagrams. Expression of sin (x + y) and cos (x + y) based on sin x, sin y, cos x and cos y
Symbols associated with sin2x, cos2x, tan2x, sin3x, cos3x and tan3x. sin = sin type, cosθ = cosα and tanθ = tan type-specific solutions of trigonometric equations. Testimonials and simple application
Sine and Cosine Formulas.

### Unit II: Algebra

#### 1. Principles of Mathematical Induction

The process of proving by induction, which views the natural numbers as the least induction subset of the real numbers, encourages the use of the method. Induction theory of mathematics and simple applications.

#### 2. Complex Numbers and Quadratic Equations

For complex numbers, in particular -1, every quadratic equation must be triggered by the inability to solve it. Brief description of algebraic properties of complex numbers. Arcand plane and polar representation of complex numbers. A statement of the fundamental principle of algebra, the solution of two-dimensional equations in complex number systems, the square root of a complex number.

#### 3. Linear Inequalities

Linear oscillations, algebraic solutions of linear oscillations in one variable and their representation in numerical order. The graphic solution of linear imbalance in two variables. Solving a system of linear oscillations in two variables - graphs.

#### 4. Permutations and Combinations

Fundamentals of calculation. factor n. Formulas and their combinations, permutations and combinations derived from simple applications.

#### 5. Binomial Theorem

History, reporting and source of the bilingual theorem for positive integration codes. Pascal's Triangle, Common and Medium Terms in Binary Expansion, Simple Applications.

#### 6. Sequence and Series (Season 10)

sequence and series. Common terms for arithmetic progression (AB), arithmetic mean (AM), geometric progression (GB), a GP, a GP. Arithmetic and Geometry series, Endless GPS and its whole, ie Geometry (GM).

### Unit III: Integrated Geometry

#### 1. Straight Lines

Concise view of 2-D from previous classes, source revision. The slope of a line and the angle between two lines. Various forms of one-line equations: parallel to the axes, gradient-shape, gradient-intercept shape, two-point shape, interference shape, and normal shape. General equation of a line. Family equation of lines passing through the intersection of two lines. Distance of a point from a line.

#### 2. Conic Sections

Segments of a Cone: Circle, Ellipse, Parabola, Hyperbola, a Point, a Straight Line and a Pair
Diagonal lines form the degenerative line of the angular segment. General Equations and Simple Properties
Parabola, Ellipse and Hyperbola. General equation of a circle.

#### 3. Introduction to Three Dimensional Geometry

Integrated axes and integrated planes in three dimensions. coordinates of a point. Distance
Between two points and the division formula.

### Unit IV: Calculus

#### Limits and Derivatives (Period 18)

Obtained as a function of distance function and geometric change rate.
The meaning of derivation, which may be related to the inclination of a curve, the sum, difference, product and combination of functions. descendants
Polygon and trigonometric functions.

### Unit V: Mathematical Reasoning

Acceptable statement in mathematics. Combination of words/phrases- "if necessary (substantial and sufficient) conditions", "hint", "and/or", "hint", "and", "or", "existence" and related to real life and mathematics use by various examples

### Unit VI: Statistics and Probabilities

#### 1. Statistics

scatter size; i.e. divergence, variance and continuous deviation of grouped/categorized data. Analysis of frequency distributions with equivalent but different variances.

#### 2. probability

Randomized trial: effect, sample space (standard representation). Events: Events, 'NOT', 'AND' and 'OR' Events, Complete Events, Events with mutually exclusive events. The axiomatic potential (theoretic set), connects to the axioms of the previous classes. Probability of an event, the probability of occurrences of 'not', 'and', and 'or'.

### Plus One Maths Related Links

We hope the given HSE Kerala Board Syllabus Plus One Maths Notes Chapter Wise Pdf Free Download in both English Medium and Malayalam Medium will help you.

If you have any queries regarding Higher Secondary Kerala Plus One   NCERT syllabus, drop a comment below and we will get back to you at the earliest.

Keralanotes.com      Keralanotes.com      Keralanotes.com      Keralanotes.com      Keralanotes.com