Course curriculum

  • 1

    Module 1 (set theory)

    • SET Theory Part 1
    • Set Theory Part2
    • Relation Part 1
    • RElation Part2
    • function part 1
    • Function part 2
  • 2

    Module 2 (Limit & continuity)

    • Limit of a function
    • Continuity of a function
  • 3

    Module 3 (Derivatives)

    • 3.1: Derivatives- its geometrical and physical interpretation
    • Bridge Course_Mathematics_Sankhadip Roy_QUIZ_1
    • ANSWER BOOKLET QUIZ 1
    • Lecture 1_Module 3_Bridge Course_Maths_SDR
    • 3.2: Sign of derivatives- monotonic increasing and decreasing function
    • Bridge Course_Mathematics_Sankhadip Roy_QUIZ_2
    • ANSWER BOOKLET QUIZ 2
    • Lecture 2_Module 3_Bridge Course_Maths_SDR
    • 3.3: Relation between continuity and differentiability. Application of differential in approximation.
    • Bridge Course_Mathematics_Sankhadip Roy_QUIZ_3
    • ANSWER BOOKLET QUIZ 3
    • Lecture 3_ Module 3_Bridge Course_Maths_SDR
  • 4

    Module 4 (Integration)

    • 4.1: Introduction, Process and Types of Integration
    • MATH_AVIJIT NEMU_M 4.1_QUIZ_1
    • ANSWER BOOKLET QUIZ 1
    • Integration_AN_Lec 1
    • 4.2: Standard formulae of Indefinite Integration
    • MATH_AVIJIT NEMU_M 4.2_QUIZ_2
    • ANSWER BOOKLET QUIZ 2
    • Integration_AN_Lec 2
    • 4.3: Problems on Standard formulae of Indefinite Integration - I
    • MATH_AVIJIT NEMU_M 4.3_QUIZ_3
    • ANSWER BOOKLET QUIZ 3
    • Integration_AN_Lec 3
    • 4.4: Problems on Standard formulae of Indefinite Integration - II
    • MATH_AVIJIT NEMU_M 4.4_QUIZ_4
    • ANSWER BOOKLET QUIZ 4
    • Integration_AN_Lec 4
    • 4.5: Methods of Indefinite Integration and Problems on Substitution -I
    • MATH_AVIJIT NEMU_M 4.5_QUIZ_5
    • ANSWER BOOKLET QUIZ 5
    • Integration_AN_Lec 5
    • 4.6: Problems on Substitution -II
    • MATH_AVIJIT NEMU_M 4.6_QUIZ_6
    • ANSWER BOOKLET QUIZ 6
    • Integration_AN_Lec 6
    • 4.7: Problems on Substitution -III
    • MATH_AVIJIT NEMU_M 4.7_QUIZ_7
    • ANSWER BOOKLET QUIZ 7
    • Integration_AN_Lec 7
    • 4.8: Problems on Partial Fraction -I
    • MATH_AVIJIT NEMU_M 4.8_QUIZ_8
    • ANSWER BOOKLET QUIZ 8
    • Integration_AN_Lec 8
    • 4.9: Problems on Partial Fraction -II
    • MATH_AVIJIT NEMU_M 4.9_QUIZ_9
    • ANSWER BOOKLET QUIZ 9
    • Integration_AN_Lec 9
    • 4.10: Integration by Parts, Problems on Integration by Parts - I
    • MATH_AVIJIT NEMU_M 4.10_QUIZ_10
    • ANSWER BOOKLET QUIZ 10
    • Integration_AN_Lec 10
    • 4.11: Problems on Integration by Parts - II
    • MATH_AVIJIT NEMU_M 4.11_QUIZ_11
    • ANSWER BOOKLET QUIZ 11
    • Integration_AN_Lec 11
    • 4.12: Problems on Integration by Parts - III
    • MATH_AVIJIT NEMU_M 4.12_QUIZ_12
    • ANSWER BOOKLET QUIZ 12
    • Integration_AN_Lec 12
    • 4.13: Definition, Significance and Limit of Sum represented by Definite Integral
    • MATH_AVIJIT NEMU_M 4.13_QUIZ_13
    • ANSWER BOOKLET QUIZ 13
    • Integration_AN_Lec 13
    • 4.14: Proof of Limit of Sum Represented by Definite Integral
    • MATH_AVIJIT NEMU_M 4.14_QUIZ_14
    • ANSWER BOOKLET QUIZ 14
    • Integration_AN_Lec 14
    • 4.15: Problems on Limit of Sum Represented by Definite Integral - I
    • MATH_AVIJIT_NEMU_M 4.15_QUIZ_15
    • ANSWER BOOKLET QUIZ 15
    • Integration_AN_Lec 15
    • 4.16: Problems on Limit of Sum Represented by Definite Integral - II
    • MATH_AVIJIT_NEMU_M 4.16_QUIZ_16
    • ANSWER BOOKLET 16
    • Integration_AN_Lec 16
    • 4.17: Fundamental Theorem of Integral Calculus - I
    • B.TECH_BRIDGE_COURSE_MATHEMATICS_QUIZ_17
    • ANSWER BOOKLET QUIZ 17
    • ftc17
    • 4.18: Fundamental Theorem of Integral Calculus - II
    • B.TECH_BRIDGE_COURSE_MATHEMATICS_QUIZ_18
    • ANSWER BOOKLET QUIZ 18
    • ftc18
    • 4.19: Basic of Definite Integration and Properties
    • B.TECH_BRIDGE_COURSE_MATHEMATICS_QUIZ_19
    • ANSWER BOOKLET 19
    • integration19
    • 4.20: Area Under The curve - I
    • B.tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_20
    • ANSWER BOOKLET 20
    • AREA_UNDER_CURVE20
    • 4.21: Area Under The curve - II
    • B.Tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_21
    • ANSWER BOOKLET 21
    • AREA_UNDER_CURVE21
    • 4.22: Area Under The curve - III
    • B.Tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_22
    • ANSWER BOOKLET 22
    • AREA_UNDER_CURVE 22
    • 4.23: Area Under The curve - IV
    • B.Tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_23
    • ANSWER BOOKLET 23
    • AREA_UNDER_CURVE 23
  • 5

    Module 5 (Matrices & Determinants)

    • 5.1: Introduction to matrices (Definition, order of a matrix, different types of matrices and matrix transpose)
    • 5.1: Introduction to matrices (Definition, order of a matrix, different types of matrices and matrix transpose)
    • Answer Sheet of 5.1 Introduction of matrics
    • Lecture 1
    • 5.2: Introduction to Matrix Algebra ( Matrix addition and Subtraction, Symmetric and Skew Symmetric MAtrices)
    • 5.2: Introduction to Matrix Algebra ( Matrix addition and Subtraction, Symmetric and Skew Symmetric Matrices)
    • 5.2: Introduction to Matrix Algebra ( Matrix addition and Subtraction, Symmetric and Skew Symmetric MAtrices)
    • Lecture 2
    • 5.3: Matrix multiplication.
    • 5.3: Matrix multiplication.
    • 5.3: Matrix multiplication.
    • Lecture 3
    • 5.4: Introduction to determinant
    • 5.4_BTECH BRIDGE COURSE_MATHEMATICS_DOYEL SARKAR_QUIZ
    • 5.4: Introduction to determinant
    • 4
    • 5.5: Determinant of 3rd Order
    • 5.5: Determinant of 3rd Order
    • 5.5: Determinant of 3rd Order
    • Lecture 5.5_study material
    • 5.6: Properties of Determinant - I
    • 5.6: Properties of Determinant - I
    • 5.6: Properties of Determinant - I
    • 5.6_Study Material
    • 5.7: Properties of Determinant - II
    • 5.7: Properties of Determinant - II
    • 5.7: Properties of Determinant - II
    • 5.7 Studymaterial
    • 5.8: Minor, Co - factor and Adjoint of determinant
    • 5.8: Minor, Co - factor and Adjoint of determinant
    • 5.8: Minor, Co - factor and Adjoint of determinant
    • 5.8_Study Material
    • 5.9: Inverse of a Matrix and its properties
    • 5.9: Inverse of a Matrix and its properties
    • 5.9: Inverse of a Matrix and its properties
    • Lecture 5.9_Study material
    • 5.10: Orthogonal Matrices, Trace of a matrix
    • 5.10: Orthogonal Matrices, Trace of a matrix
    • 5.10: Orthogonal Matrices, Trace of a matrix
    • Lecture 10_study material
  • 6

    Module 6 (Vector Algebra)

    • "L-1-Introduction - Basic Concepts of Scalars and Vectors"
    • "L2-Position Vector, Direction Cosines and Direction Ratios"
    • L-3-Types of vectors
    • L-4-Vector Addition
    • "L-5 Multiplication of a vector by a scalar, Components of a vector"
    • L-6-Scalar Product
    • L-7- Vector Product
    • L-8-Scalar and Vector Triple Product
    • BridgeCoure-Maths_Module_6-QUIZ_1
  • 7

    Module 7(Permutations & Combinations)

    • Lecture 1 – Fundamental Principle of Counting
    • Lecture 2 – Concept of Permutation
    • Lecture 3 - Restricted Permutations
    • Lecture 4 – Restricted Permutations (continued)
    • Lecture 5 – Concept of word building
    • Lecture 6 – Permutation of alike things
    • Lecture 7 – Permutation of repeated things
    • Lecture 8 – Circular Permutations
    • Bridge_Course_Math_Module7_permutation QUIZ
    • Math_Permutation Answer Booklet
    • Lecture 9 – Concept of Combination
    • Lecture 10 – Total number of combinations-When all things are different
    • Lecture 11 – Total number of combinations – When all things are not different
    • Lecture 12 – Division into groups
    • Lecture 13 – Problems on permutations and combinations
    • Bridge_Course_Math_Module7_combination Quiz
    • Math_Combination Answer Booklet
  • 8

    Module 8 (Differential Equations)

    • Differential Equation 1
    • Differential Equation 2
    • Differential Equation 3
    • Differential Equation 4
    • Differential Equation 5
    • Differential Equation 6
    • Differential Equation 7
    • Order and Degree of DE
    • Order and Degree of DE
    • Various Methods for the Solutions of ODE_query
    • Answer Sheet_Various Methods for the Solutions of ODE
    • Solutions of (dy/dx)+py=q and (dx/dy)+rx =t_quiz
    • Answer Sheet_Solutions of (dy/dx)+py=q and (dx/dy)+rx =t