AWES PGT TGT Maths Syllabus

AWES PGT TGT Maths Syllabus 2022, Exam Pattern, Exam Date, Recruitment 2022

AWES PGT TGT Maths Syllabus : Detail information about AWES PGT TGT has published notification 2021 for the recruitment of Maths Part 2 vacancies. Those Candidates Are Interested to the Following Vacancy and Completed the All Eligibility Criteria Can Read the Notification and Apply Online. In this page we provide complete syllabus of this recruitment along with latest updated exam pattern and exam date.

AWES PGT TGT Maths Part 2 Syllabus 2022

Maths : 

AWES PGT TGT Maths Part 2 Exam Pattern  2021

Duration : 90 Minutes

S.No Subject No.of Question Marks
1 Maths 90 90
Total 90 90

AWES Army School TGT PGT PRT Recruitment 2022

Topics Concern of AWES PGT TGT Maths Syllabus

Topics Syllabus
Sets Sets and their representations. Empty set. Finite & Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers. Powerset. Universal set. Venn diagrams. Union and Intersection of sets. The difference between sets. The complement of a set.
Relations & Functions Ordered pairs, the Cartesian product of sets. Several elements in the cartesian product of two finite sets. Cartesian product of the reals with itself (up to R x R x R). Definition of relation, pictorial diagrams, domain. co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation a function, domain, co-domain & range of a function. The real-valued function of the real variable, domain and range of these functions.
Principle of Mathematical Induction Processes of the proof by induction. The principle of mathematical induction.
Permutations & Combinations The fundamental principle of counting. Factorial n. Permutations and combinations, derivation of formulae and their connections, simple applications.
Complex Numbers Complex numbers, Algebraic properties of complex numbers, Argand plane and polar representation of complex numbers, Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.
Linear Inequalities Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. A solution to a system of linear inequalities in two variables- graphically. Absolute value, Inequality of means.
Binomial Theorem Statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, general and middle term in binomial expansion, simple applications.
Sequence and Series Sequence and Series. Arithmetic, Geometric and Harmonic progressions (G.P.), General terms and sum to terms of A.P., G.P. and H.P. Arithmetic Mean (A.M.), Geometric Mean (G.M.), and Harmonic Mean (H.M.), Relation between A.M., G.M. and H.M. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers.
Elementary Number Theory Peano’s Axioms, Principle of Induction; First Principle, Second Principle, Third Principle, Basis Representation Theorem, Greatest Integer Function Test of Divisibility, Euclid’s algorithm, The Unique Factorisation Theorem, Congruence.
Quadratic Equations Quadratic equations in real and complex number system and their solutions. The relation between roots and coefficients, nature of roots, the formation of quadratic equations with given roots; Symmetric functions of roots, equations reducible to quadratic equations – application to practical problems.
Matrices and Determinants Determinants and matrices of order two and three, properties of determinants, Evaluation of determinants. Area of triangles using determinants, Addition and multiplication of matrices, adjoint and the inverse of a matrix.
Two-dimensional Geometry Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, area of a triangle, condition for the collinearity of three points, centroid and in-centre of a triangle, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Trigonometric Functions Positive and negative angles. Measuring angles in radians & degrees and conversion from one measure to another. Definition of trigonometric functions with the help of the unit circle. Graphs of trigonometric functions. Expressing sin (x+y) and cos (x+y) in terms of sinx, siny, cos& cosy. Identities related to sin2x, cos2x, tan 2x, sin3x, cos3x and tan3x.
Inverse Trigonometric Functions Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.
Differential Calculus Polynomials, rational, trigonometric, logarithmic and exponential functions, Inverse functions. Graphs of simple functions. Limits, Continuity and differentiability; Derivative, Geometrical interpretation of the derivative, Derivative of sum
Applications of Derivatives Applications of derivatives: rate of change, increasing/decreasing functions, tangents & normals, approximation, maxima and minima.
Integral Calculus Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus. Basic Properties of definite integrals.
Statistics Calculation of Mean, median and mode of grouped and ungrouped data. Measures of dispersion; mean deviation, variance and standard deviation of ungrouped / grouped data. Analysis of frequency distributions with equal means but different variances.

 

Army Public School TGT PGT Exam pattern 2022 – Get APS TGT PGT Written Test Pattern @ aps-csb.in

Here we discussed about the APS TGT PGT Exam Pattern in the tabular form given below. Army Public School PRT Exam was very different as compared to APS TGT PGT Exam Pattern. In the below table we have also mentioned complete Army Public School TGT PGT Exam Pattern along with PRT Exam Pattern 2022. After checking Army Public School TGT PGT Exam Pattern start exam preparation to crack this APS TGT PGT Exam. Aspirants who are looking for Teaching Jobs in Army Public Schools are able to check Army Public School TGT PGT Exam Pattern 2022. Make the time limit and start the exam preparation subject wise or subject wise.

AWES TEACHER TGT, PGT EXAM PATTERN

Post Paper Subject Duration Marks
PGT/TGT Part A GK, English 3 Hours 90
Part B Specific to subject 90
PRT Part A Same as Part I for TGT/ PGT 1 Hr 30 Mins 90

 

English

  • Spelling Test.
  • Sentence Arrangement.
  • Error Correction (Underlined Part).
  • Transformation
  • Passage Completion.
  • prepositions
  • Sentence Improvement.
  • Spotting Errors.
  • Antonyms
  • Homonyms,
  • synonyms
  • Word Formation
  • Direct and Indirect speech
  • Active and Passive Voice.
  • Para Completion.
  • Idioms and Phrases.
  • substitution
  • Joining Sentences.
  • Theme Detection,
  • Topic rearrangement of passage
  • Error Correction (Phrase in Bold).
  • Fill in the blanks.
  • Data Interpretation.
  • Spelling Test.
  • Sentence Completion.
  • Sentence Arrangement

 General Awareness

  • Current affairs related to national and international issues of the last 6 months,
  • Overview of the Indian Financial System,
  • History of the Indian banking system,
  • Recent credit and monetary policies
  • Indian History.
  • Indian Culture.
  • Sports
  • Zoology
  • Famous Days & Dates.
  • Botany
  • Indian Politics.
  • Physics
  • Indian Parliament.
  • Basic GK.
  • Chemistry
  • Geography
  • Environment
  • Indian Economy.
  • Inventions in the World.
  • Basic Computer.
  • Famous Books & Authors.

General Knowledge

  • About India.
  • History – India & World.
  • Cultural Heritage.
  • General Science.
  • Space & IT.
  • Indian Constitution.
  • National news (current).
  • Indian Culture.
  • Economy.
  • Political Science.
  • Indian National Movement.
  • Indian Polity & Governance.
  • Science & Technology.
  • Scientific observations.
  • International issues.
  • Abbreviations.
  • Economic Scene.
  • Everyday Science.
  • Sports and Games.
  • Science – Inventions & Discoveries.
  • Important Days.
  • General Knowledge of Karnataka.
  • Important Financial & Economic News.
  • Current Affairs – National & International.
  • Indian Constitution.
  • History.
  • General Politics.
  • Awards and Honors.
  • Culture.
  • Books and Authors.
  • Current events.
  • Geography.
  • Current Affairs.
  • Social Science.
  • Inventions in the World.
  • Indian Economy.
  • Indian Parliament.
  • Botany.
  • Chemistry.
  • Indian Politics.
  • Sports.
  • Zoology.
  • Environment.
  • Basic Computer.
  • Indian History.
  • Famous Days & Dates.
  • Famous Books & Authors.
  • Geography.
  • Physics.
  • Indian Culture.

Mental Ability

  • Series
  • Coding-Decoding.
  • Logical Venn Diagrams.
  • Direction Sense Test.
  • Arithmetical Reasoning.
  • Mathematical Operations.
  • Eligibility Test.
  • Classification
  • Analogy
  • Blood Relations.
  • Alphabet Test.
  • Sitting Arrangements.
  • Number, Ranking and Time Sequence Test.
  • Inserting the Missing Character.

Educational Concepts & Methodology

  • Materials development and syllabus design.
  • Teacher education and critical pedagogy.
  • Technology and language teaching.
  • Sociocultural Theory of language learning.
  • Classroom Management.
  • English for Specific Purposes (ESP)/ English for Academic Purposes (EAP).
  • Strategies-based instruction.
  • Integrated language skills.
  • Reflective language teaching.
  • Needs Analysis

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