UNIQUE SERIES AKTU Syllabus
BBC107BBC207

Elementary Mathematics Bridge Course

L-T-P3-0-0 Credits- Session2025-26 TypeTheory
Appears in 2 semesters

BCA · Sem 1 (Non-credit, code BBC107) · BCA · Sem 2 (Non-credit, code BBC107)

Download PDF

Syllabus

5 units · 40 lecture hours
Unit1

Unit 1: Number Theory

8 hrs

Number system, Division algorithm, Prime and composite numbers, Tests of divisibility by 2, 3, 4, 5, 9 and 11, Multiples and factors, Factorization Theorem, H.C.F. and L.C.M, Euclidean algorithm, Logarithms to base 10, laws of logarithms.

Unit2

Unit 2: Set Theory

8 hrs

Definition, Types of Sets, Operation on Sets, Venn diagram, Equality of Sets. Relation: Definition, Types of Relation, Equivalence Relation and its Applications. Function: Definition, Types of Function, Injective, surjective, and bijective functions and its Applications.

Unit3

Unit 3: Algebra

8 hrs

Arithmetic, Geometric and Harmonic progressions, Exponential and Logarithmic Series, Binomial Theorem.

Unit4

Unit 4: Determinants

8 hrs

Definition of Determinant, Properties of determinants, Minors, Cofactors, Product of two determinants. Matrices: Definition of Matrix and Its types, Addition, Subtraction, Scalar and Matrix Multiplication, Inverse of a Matrix.

Unit5

Unit 5: Trigonometry

8 hrs

Pythagoras Theorem, Trigonometric Ratios, Trigonometric Ratios of Some Specific Angles, Trigonometric Identities. Mensuration: Area of Square, Rectangle, Triangle, Volume of Cone, Cylinder, Cuboid.

Course Outcomes (COs)5 outcomes

After completion of the course student will be able to:

  1. CO1Understand and apply number theory concepts, including divisibility rules, factorization, and logarithms, to solve mathematical problems.K3
  2. CO2Apply and analyze set theory, relations, and functions to solve problems involving sets, relations, and functional mappings.K4
  3. CO3Apply algebraic concepts, including progressions and binomial expansions, to solve real-world and mathematical problems.K3
  4. CO4Understand and apply properties of determinants and matrices to solve system equations and related mathematical problems.K3
  5. CO5Apply trigonometric ratios, identities, and mensuration formulas to solve problems in geometry and measurement.K3

Suggested Readings

  1. David M. Burton, “Elementary Number Theory”, Mc Graw Hill.
  2. R.D. Sharma, “Mathematics, Volume1”, Dhanpat Rai & Co. Pvt. Ltd.
  3. Kenneth Hoffman and Ray Kunze, “Linear Algebra”, Pearson.
  4. H.K. Dass, Dr. Rama Verma, “Introduction to Engineering Mathematics –Volume I”, S. Chand Publishing.
  5. H.K. Dass, Dr. Rama Verma, “Introduction to Engineering Mathematics-Volume II”, S. Chand Publishing.
  6. Samuel Ratcliffe Knight and Henry Sinclair Hall, “Elementary Trigonometry”, Legare Street Press.

Official AKTU syllabus

This subject is on page 2 of the original AKTU PDF.

Official AKTU syllabus PDF ↗