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 Here, we have provided the links containing the study materials, which will help you study and prepare for your CMA Foundation 2020 edition examinations. Referring to the connections we’ve provided below and the links containing the study materials in PDF format, and the list of recommended books that we’ve provided below, you will be able to ace your examinations. We have also provided you with further details that will allow you to do well in your exams and learn more. These study materials help you understand the concepts and everything quickly and creates a better space for you to work on. These study materials give you the best resources to study from.

Subjects

Exam paperSubject
Paper 1Fundamentals of Economics and Management
Paper 2Fundamentals of Accounting
Paper 3Fundamentals of Laws and Ethics
Paper 4Fundamentals of Business Mathematics and Statistics

Download Study Materials

S.NoSubjects in CMA Foundation ExamDownload Links
Paper 1Fundamentals of Economics and ManagementDownload
Paper 2Fundamentals of AccountingDownload
Paper 3Fundamentals of Laws and EthicsDownload
Paper 4Fundamentals of Business Mathematics and StatisticsDownload

Download Study Materials 2019

CMA Foundation SubjectsDownload Links
Paper 1 – Fundamentals of Economics and ManagementDownload
Paper 2 – Fundamentals of AccountingDownload
Paper 3 – Fundamentals of Laws and EthicsDownload
Paper 4 – Fundamentals of Business Mathematics and StatisticsDownload

Syllabus

Paper 1 – Fundamentals of Economics and Management
  • Section A (Fundamentals of Economics)
  • Basic Concepts of Economics – Micro & Macro Economics (20 Marks)
  • Forms of Market (20 Marks)
  • Money and Banking (10 Marks)

Section B (Fundamentals of Management)

  • Management Process (50 Marks)
Paper 2 – Fundamentals of Accounting

Section A (Fundamentals of Financial Accounting)

  • Accounting Basics (35 Marks)
  • Accounting for Special Transactions (20 Marks)
  • Preparation of Final Accounts (25 Marks)

Section B (Fundamentals of Cost Accounting)

  • Fundamentals of Cost Accounting (20 Marks)
Paper 3 – Fundamentals of Laws and Ethics

Section A (Fundamentals of Commercial and Industrial Laws)

  • Indian Contracts Act, 1872 (40 Marks)
  • Sale of Goods Act, 1930 (20 Marks)
  • Negotiable Instruments Act, 1881 (10 Marks)

Section B (Fundamentals of Ethics)

  • Ethics and Business (30 Marks)
Paper 4 – Fundamentals of Business Mathematics and Statistics

Section A (Fundamentals of Business Mathematics)

  • Arithmetic (20 Marks)
  • Algebra (20 Marks)

Section B (Fundamentals of Business Statistics)

  • Statistical Representation of Data (10 Marks)
  • Measures of Central Tendency and Dispersion (30 Marks)
  • Correlation and Regression (10 Marks)
  • Probability (10 Marks)

prepare for your B.Tech Mathematical Foundation of Computer Science 2020 edition examinations. Referring to the connections we’ve provided below and the links containing the study materials in PDF format, and the list of recommended books that we’ve provided below, you will be able to ace your examinations. We have also provided you with further details that will allow you to do well in your exams and learn more. These study materials help you understand the concepts and everything quickly and creates a better space for you to work on. These study materials give you the best resources to study from.

Download Study Materials

MFCS  lecture notesDownload
MFCS Notes pptDownload
Mathematical Foundation of Computer Science Question PaperDownload
Mathematical Foundation of Computer Science Study MaterialDownload

Recommended Books

  • Discrete Mathematical Structures with Applications to Computer Science, J. P.Tremblay and P. Manohar, Tata McGraw Hill.
  •  Elements of Discrete Mathematics-A Computer Oriented Approach, C. L. Liu and D. P. Mohapatra, 3rdEdition, Tata McGraw Hill.
  • Discrete Mathematics and its Applications with Combinatorics and Graph Theory, K. H. Rosen, 7th Edition, Tata McGraw Hill.
  • Discrete Mathematics for Computer Scientists and Mathematicians, J. L. Mott, A. Kandel, T.P. Baker, 2nd Edition, Prentice Hall of India.
  • Discrete Mathematical Structures, BernandKolman, Robert C. Busby, Sharon Cutler Ross, PHI.
  • Discrete Mathematics, S. K. Chakraborty and B.K. Sarkar, Oxford, 2011.

Syllabus

UNIT -I: Mathematical Logic:

Propositional Calculus: Statements and Notations, Connectives, Well-Formed Formulas, Truth Tables, Tautologies, Equivalence of Formulas, Duality Law, Tautological Implications, Normal Forms, Theory of Inference for Statement Calculus, Consistency of Premises, Indirect Method of Proof. Predicate Calculus: Predicative Logic, Statement Functions, Variables and Quantifiers, Free and Bound Variables, Inference Theory for Predicate Calculus.

UNIT -II: Set Theory:

Introduction, Operations on Binary Sets, Principle of Inclusion and Exclusion, Relations: Properties of Binary Relations, Relation Matrix and Digraph, Operations on Relations, Partition and Covering, Transitive Closure, Equivalence, Compatibility and Partial Ordering Relations, Hasse Diagrams, Functions: Bijective Functions, Composition of Functions, Inverse Functions, Permutation Functions, Recursive Functions, Lattice and its Properties.

UNIT- III: Algebraic Structures and Number Theory:

Algebraic Structures: Algebraic Systems, Examples, General Properties, Semi Groups and Monoids, Homomorphism of Semi Groups and Monoids, Group, Subgroup, Abelian Group, Homomorphism, Isomorphism, Number Theory: Properties of Integers, Division Theorem, The Greatest Common Divisor, Euclidean Algorithm, Least Common Multiple, Testing for Prime Numbers, The Fundamental Theorem of Arithmetic, Modular
Arithmetic (Fermat‘s Theorem and Euler‘s Theorem)

UNIT -IV: Combinatorics:

Basic of Counting, Permutations, Permutations with Repetitions, Circular Permutations, Restricted Permutations, Combinations, Restricted Combinations, Generating Functions of Permutations and Combinations, Binomial and Multinomial Coefficients, Binomial and Multinomial Theorems, The Principles of Inclusion Exclusion, Pigeonhole Principle and its Application.

UNIT -V: Recurrence Relations:

Generating Functions, Function of Sequences, Partial Fractions, Calculating Coefficient of Generating Functions, Recurrence Relations, Formulation as Recurrence Relations, Solving Recurrence Relations by Substitution and Generating Functions, Method of Characteristic Roots, Solving Inhomogeneous Recurrence Relations

UNIT -VI: Graph Theory:

Basic Concepts of Graphs, Sub graphs, Matrix Representation of Graphs: Adjacency Matrices, Incidence Matrices, Isomorphic Graphs, Paths and Circuits, Eulerian and Hamiltonian Graphs, Multigraphs, Planar Graphs, Euler‘s Formula, Graph Colouring and Covering, Chromatic Number, Spanning Trees, Algorithms for Spanning Trees (Problems Only and Theorems without Proofs).

Important Questions

  • Explain in brief about fermats theorem?
  • State Division algorithm and apply it for a dividend of 170 and divisor of 11.
  • Explain in brief about the Division theorem?
  •  Explain in brief about GCD with example?
  • Prove that the sum of two odd integers is an even integer?
  •  Explain in brief about Euler’s theorem with examples?
  • Explain in brief about the Principle of Mathematical Induction with examples?
  •  Define the Prime number? Explain in brief about the procedure for testing of prime numbers?
  • Using Fermat’s theorem, find 3201 mod 11.
  • Use Euler’s theorem to find a number between 0 and 9 such that a is congruent to 7 1000 (mod 10)
  • Prove that a group consisting of three elements is an abelian group?
  •  Prove that G={-1,1,i,-i} is an abelian group under multiplication?
  •  Let G= {-1,0,1} . Verify that G forms an abelian group under addition?
  •  Prove that the Cancellation laws hold good in a group G.?
  • Prove that the order of a-1 is the same as the order of a.?
  •  
  •  Find the integers x such that i) 5x≡4 (mod 3) ii) 7x≡6 (mod 5) iii) 9x≡8 (mod 7)
  • Determine GCD (1970, 1066) using the Euclidean algorithm.
  •  If a=1820 and b=231, find GCD (a, b). Express GCD as a linear combination of a and b.
  •  Find 117 mod 13 using modular arithmetic.

Here, below we have provided the links which you can click in order to download the study materials of CS Foundation in tabular form. This has been done by ICSI (Institute of Company Secretaries of India) who has now published the study materials of CS Foundation which you can now download easily in just a click. We are providing the study material download links for CS foundation latest editions for June 2019 as well as December 2019 examinations. The students who are attending the examinations are asked to refer to these study materials given here in order to be updated on the latest details from ICSI.

Download CS Foundation Study Materials

CS Foundation Old Syllabus Study Materials

  • Business Environment and Entrepreneurship
  • Business Management Ethics and Communication
  • Business Economics
  • Fundamental of Accounting and Auditing
Business Environment and EntrepreneurshipDownload
Business Management, Ethics and CommunicationDownload
Business EconomicsDownload
Fundamentals of Accounting and AuditingDownload

Here, below we have provided the links which you can click in order to download the study materials of Revised CA Course in tabular form. This has been done by ICSI (Institute of Company Secretaries of India) who has now published the study materials of CA Foundation which you can now download easily in just a click. We are providing the study material download links for CA foundation latest editions for July 1st 2019 as well as May 2019 examinations. The students who are attending the examinations are asked to refer to these study materials given here in order to be updated on the latest details from ICSI.

ICAI has provided Study materials for 4 papers as follows:

  • Paper 1 : Principles and Practices of Accounting
  • Paper 2 : Mercantile Law & General English
  • Paper 3 : Business Mathematics Logical Reasoning and Statistics
  • Paper 4 : Business Economics & Business and Commercial Knowledge

Download CA Foundation Study Materials November 2019

Paper 1Principles and Practices of Accounting100 MarksDownload
Paper 2Mercantile Law & General English100 MarksDownload
Paper-2 (Part I) – Mercantile Laws – 60 Marks
Paper-2 (Part-II) – General English – 40 Marks
Paper 3Business Mathematics Logical Reasoning and Statistics100 MarksDownload
Paper 3 – Part I: Business Mathematics and Logical Reasoning (60 Marks)
Paper 3 – Part II: Statistics (40 Marks)
Paper 4Business Economics & Business and Commercial Knowledge100 MarksDownload
Paper 4 – Part I: Business Economics (60 Marks)
Paper 4 – Part II: Business and Commercial Knowledge (40 Marks)

PDF Format Download CA Study Materials: Download CPT Study material pdf

Principles Practice of Accounting Study Materials in PDF Format

Paper-2: Sec-A – Business Laws Notes

Paper-2: Sec-B: Business Correspondence and Reporting

Paper-3: Business Mathematics and Logical Reasoning & Statistics

Paper-4: Business Economics and Business and Commercial Knowledge

Paper-4 Part-II: Business and Commercial Knowledge

Single File CPT Study Materials 2019

Subjects in CPT CourseDownload Links
Fundamentals of AccountingDownload
Mercantile LawsDownload
General EconomicsDownload
Quantitative Aptitude TextDownload
Model Test Paper (CPT) Vol. IDownload
Model Test Paper (CPT) Vol. IIDownload