VPA XI-XII CBSE Commerce

XI-XII Commerce for CBSE Board

The Finest CBSE Commerce Institute Consistently PRODUCING TOP RANKERS
for over a decade

35,000+

Students Mentored

Online

Format

3rd June 2021

Start Date

ABOUT THE PROGRAM

Experienced Faculty

Having taught over thousands of students, our professionally qualified CA and MBA faculty brings years of teaching experience to guide the students in their journey.

High Definition Videos

Our lectures are recorded and provided to the students in high definition, making it easier for you to view it multiple times and at your own convenience.

Unique Teaching Methods

Concepts are explained with the help of real world examples to make sure that they are imbibed well by the students.

our faculty

CA Vipul Vora

Accounts

CA Rupam Bardia

Applied & Core Mathematics

Prof. Rama Wadki

Economics

Prof. Anup Thakkar

Economics/Statistics

KEY HIGHLIGHTS

Practice tests after every 21 days with detailed analysis of performance

Doubt solving with the help of video conferencing

1:1 session with the professor in case a concept is unclear

Theory as well as practical notes separately provided

Homework assignments to revise the concepts

Conversion to a normal classroom from online at any point of time

SYLLABUS COVERED IN STANDARD XI

ACCOUNTS

  • Meaning of Accounting
  • Accounting as a Source of Information
  • Objectives of Accounting
  • Role of Accounting
  • Basic Terms in Accounting
  • Generally Accepted Accounting Principles (GAAP)
  • Basic Accounting Concepts
  • Systems of Accounting
  • Basis of Accounting
  • Accounting Standards
  • Business Transactions and Source Document
  • Accounting Equation
  • Using Debit and Credit
  • Books of Original Entry
  • The Ledger
  • Posting from Journal
  • Cash Book
  • Purchases (Journal) Book
  • Purchases Return (Journal) Book
  • Sales (Journal) Book
  • Sales Return (Journal) Book
  • Journal Proper
  • Balancing the Accounts
  • Need for Reconciliation
  • Preparation of Bank Reconciliation Statement
  • Meaning of Trial Balance
  • Objectives of Preparing the Trial Balance
  • Preparation of Trial Balance
  • Significance of Agreement of Trial Balance
  • Searching of Errors
  • Rectification of Errors
  • Depreciation
  • Depreciation and other Similar Terms
  • Causes of Depreciation
  • Need for Depreciation
  • Factors Affecting the Amount of Depreciation
  • Methods of calculating Depreciation Amount
  • Straight Line Method and Written Down Method: A Comparative Analysis
  • Methods of Recording Depreciation
  • Disposal of Asset
  • Effect of any Addition or Extension to the Existing Asset
  • Provisions
  • Reserves
  • Secret Reserve
  • Meaning of Bill Exchange
  • Promissory Note
  • Advantages of Bill of Exchange
  • Maturity of Bill
  • Discounting of Bill
  • Endorsement of Bill
  • Accounting Treatment
  • Dishonour of a Bill
  • Renewal of the Bill
  • Retiring of the Bill
  • Bills Receivable and Bills Payable Books
  • Accomodation of Bills
  • Stakeholders and Their Information Requirements
  • Distinction between Capital and Revenue
  • Financial Statements
  • Trading and Profit and Loss Account
  • Operating Profit (EBIT)
  • Balance Sheet
  • Opening Entry
  • Need for Adjustments
  • Closing Stock
  • Outstanding Expenses
  • Prepaid Expenses
  • Accrued Income
  • Income Received in Advance
  • Depreciation
  • Bad Debts
  • Provision for Bad and Doubtful Debts
  • Provision for Discount on Debtors
  • Manager's Commission
  • Interest on Capital
  • Methods of Presenting the Financial Statements
  • Meaning of Incomplete Records
  • Reasons of Incompleteness and its Limitations
  • Ascertainment of Profit and Loss
  • Preparing Trading and Profit and Loss Account and the Balance Sheet

STATISTICS

  • Economics: An introduction
  • Meaning, Scope and Importance of Statistics
  • Collection of Data
  • Organisation of Data
  • Tabular Presentation
  • Diagrammatic Presentation
  • Graphic Presentation
  • Measures of Central Tendency - Arithmetic Mean
  • Measures of Central Tendency - Median and Mode
  • Measures of Dispersion
  • Measures of Correlation
  • Index Numbers

ECONOMICS

  • Consumer's Equilibrium
  • Demand
  • Elasticity of Demand
  • Production Function
  • Cost
  • Revenue
  • Producer's Equilibrium
  • Supply

MATHEMATICS

  • Sets and their representations
  • Empty set
  • Finite and Infinite sets
  • Equal sets
  • Subsets
  • Subsets of a set of real numbers especially intervals (with notations)
  • Power set
  • Universal set
  • Venn diagrams
  • Union and Intersection of sets
  • Difference of sets
  • Complement of a set
  • Properties of Complement
  • Ordered pairs
  • Cartesian product of sets
  • Number of elements in the Cartesian product of two finite sets
  • Cartesian product of the set of reals with itself (upto R X R X R)
  • Definition of relation, pictorial diagrams, domain, co-domain and range of a relation
  • Function as a special type of relation
  • Pictorial representation of a function, domain, co-domain and range of a function
  • Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatesst integer functions, with their graphs
  • Sum, difference, product and quotients of functions
  • Positive and negative angles
  • Measuring angles in radians and in degrees and conversion from one measure to another
  • Definition of trigonometric functions with the help of unit circle
  • Truth of the identity sin2x + cos2x = 1
  • Signs of trigonometics functions
  • Domain and range of trigonometric functions and their graphs
  • Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x and cos y and their simple applications
  • Deducing identities like tan (x±y), cot (x±y), sin α ± sin β, cos α + cos β and cos α - cos β
  • Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x
  • General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a
  • Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers
  • The principle of mathematical induction and simple applications
  • Need for complex numbers. especially √-1, to be motivated by inability to solve some of the quadratic equations
  • Algebraic properties of complex numbers
  • Agrand plane and polar representation of complex numbers
  • Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system
  • Square root of a complex number
  • 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
  • Graphical method of finding a solution of system of linear inequalities in two variables
  • Fundamental principle of counting
  • Factorial n
  • (n!) Permutations and combinations
  • derivation of Formulae for nCr and nPr and their connections, simple applications
  • Historical perspective, statement and proof of the binomial theorem for positive integral indices
  • Pascal's triangel
  • General and middle term in binomial expansion, simple applications
  • Sequence and Series
  • Arithmetic Progression (A. P.)
  • Arithmetic Mean (A. M.)
  • Geometric Progression (G. P.), general term of a G. P., sum of n terms of a G. P., infinite G. P. and its sum, geometric mean (G. M.), relation between A. M. and G. M.
  • Formulae for the following special sums: ∑k (n to k=1), ∑k² (n to k=1), ∑k³ (n to k=1)
  • Brief recall of two dimensional geometry from earlier classes
  • Shifting of origin
  • Slope of a line and angle between two lines
  • Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form
  • General equation of a line
  • Equation of family of lines passing through the point of intersection of two lines
  • Distance of a point from a line
  • Sections of a cone: circle, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section
  • Standard equations and simple properties of parabola, ellipse and hyperbola
  • Standard equation of a circle
  • Coordinate axes and coordinate planes in three dimensions
  • Coordinates of a point
  • Distance between two points and section formula
  • Derivative introduced as rate of change both as that of distance function and geometrically
  • Intuitive idea of limit
  • Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions
  • Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of function
  • Derivatives of polynomial and trigonometric functions
  • Mathematically acceptable statements
  • Connecting words/phrases - consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies", "and/or", "implied by", "and", "or", "there exists" and their use through variety of examples related to real life and Mathematics
  • Validating the statements involving the connecting words, difference among contradiction, converse and contrapositive
  • Measure of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data
  • Analysis of frequency distributions with equal means but different variances
  • Random experiments; outcomes, sample spaces (set representation)
  • Events; occurence of events, 'not', 'and' and 'or' events, exhaustive events, mutually exclusive events, Axiomatic 9set theoretic) probability, connections with other theories of earlier classes
  • Probablity of an event, probability of 'not', 'and' and 'or' events

APPLIED MATHEMATICS

  • Prime Numbers, Encryptions using Prime Numbers
  • Binary Numbers
  • Complex Numbers (Preliminary idea only)
  • Indices, Logarithm and Antilogarithm
  • Laws and properties of logarithms
  • Simple applications of logarithm and antilogarithm
  • Numerical problems on averages, calender, clock, time, work and distance, mensuration, seating arrangement
  • Sets
  • Types of sets
  • Venn diagram
  • De Morgan's laws
  • Problem solving using Venn diagram
  • Relations and types of relations
  • Introduction of Sequences, Series
  • Arithmetic and Geometric progression
  • Relationship between AM and GM
  • Basic concepts of Permutations and Combinations
  • Permutations, Circular Permutations, Permutations with restrictions
  • Combinations with standard results
  • Mathematically acceptable statements
  • Connecting words/phrases in Mathematical statement consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies", "and/or", "implied by", "and", "or", "there exists" and their use through variety of examples related to real life and Mathematics
  • Problems based on logical reasoning (coding-decoding, odd man out, blood relation, syllogism etc)
  • Introducing functions
  • Domain and Range of a function
  • Types of function (Polynomial function; Rational function; Composite function; Logarithm function; Exponential function; Modulus function; Greatest integer function, Signum function)
  • Graphical representation of functions
  • Concept of limits and continuity of a function
  • Instantaneous rates of change
  • Differentiation as a process of finding derivative
  • Derivatives of algebraic functions using Chain rule
  • Tangent line and equations of tangents
  • Random experiment, sample space, events, mutually exclusive events
  • Independent and Dependent Events
  • Law of Total Probability
  • Bayes' Theorem
  • Types of data (raw data, univariate data, bivariate and multi-variate data)
  • Data on various scales (nominal, ordinal, interval and ratio scale)
  • Data representation and visualization
  • Data interpretation (central tendency, dispersion, deviation, variance, skewness and kurtosis)
  • Percentile rank and quartile rank
  • Correlation (Pearson and Spearman method of correlation)
  • Applications of descriptive statistics using real time data
  • Interest and interest rate
  • Accumulation with simple and compound interest
  • Simple and compound interest rates with equivalency
  • Effective rate of interest
  • Present value, net present value and future value
  • Annuities, calculating value of regular annuity
  • Simple applications of regular annuities (up to 3 period)
  • Tax, calculation of tax and simple applications of tax calculation in Goods and service tax, Income tax
  • Bills, tariff rates, fixed charge, surcharge, service charge
  • Calculation and interpretation of electricity bill, water supply bill and other supply bills (Comparing interest rates on various types of savings; calculating income tax; electricity bills, water bills; surcharge using realistic data)
  • Straight Line
  • Circles
  • Parabola (only standard forms and graphical representation on two-dimensional plane)

UNMATCHED CREDENTIALS FOR OVER A DECADE

Producing toppers for the last 15 years

Numerous students scoring 90+ in the past few years

STUDENT'S CORNER

ALL INDIA TOPPERS IN ACCOUNTS 2020

Divya Suchak

Accounts 100 out of 100

Disha Lakhotiya

Accounts 100 out of 100

2020 TOPPERS

STUDENT'S CORNER

ALL INDIA TOPPERS IN ACCOUNTS 2020

Divya Suchak

Accounts 100 out of 100

Disha Lakhotiya

Accounts 100 out of 100

2020 TOPPERS

PREVIOUS TOPPERS

Sakshi Nandurkar

96.4%

2019 Batch

Nidhi Chandak

98.6%

2018 Batch

Madhurima Saha

98.0%

2017 Batch

Dhruv Daga

97.4%

2015 Batch

Abhishri Kabra

97.4%

2015 Batch

OUR REVIEWS

Divya Suchak

99.2%
AIR - 4, Accounts 100/100
2020 Batch