# 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
• Lecture 1_Module 3_Bridge Course_Maths_SDR
• 3.2: Sign of derivatives- monotonic increasing and decreasing function
• Lecture 2_Module 3_Bridge Course_Maths_SDR
• 3.3: Relation between continuity and differentiability. Application of differential in approximation.
• 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
• Integration_AN_Lec 1
• 4.2: Standard formulae of Indefinite Integration
• MATH_AVIJIT NEMU_M 4.2_QUIZ_2
• Integration_AN_Lec 2
• 4.3: Problems on Standard formulae of Indefinite Integration - I
• MATH_AVIJIT NEMU_M 4.3_QUIZ_3
• Integration_AN_Lec 3
• 4.4: Problems on Standard formulae of Indefinite Integration - II
• MATH_AVIJIT NEMU_M 4.4_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
• Integration_AN_Lec 5
• 4.6: Problems on Substitution -II
• MATH_AVIJIT NEMU_M 4.6_QUIZ_6
• Integration_AN_Lec 6
• 4.7: Problems on Substitution -III
• MATH_AVIJIT NEMU_M 4.7_QUIZ_7
• Integration_AN_Lec 7
• 4.8: Problems on Partial Fraction -I
• MATH_AVIJIT NEMU_M 4.8_QUIZ_8
• Integration_AN_Lec 8
• 4.9: Problems on Partial Fraction -II
• MATH_AVIJIT NEMU_M 4.9_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
• Integration_AN_Lec 10
• 4.11: Problems on Integration by Parts - II
• MATH_AVIJIT NEMU_M 4.11_QUIZ_11
• Integration_AN_Lec 11
• 4.12: Problems on Integration by Parts - III
• MATH_AVIJIT NEMU_M 4.12_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
• Integration_AN_Lec 13
• 4.14: Proof of Limit of Sum Represented by Definite Integral
• MATH_AVIJIT NEMU_M 4.14_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
• Integration_AN_Lec 15
• 4.16: Problems on Limit of Sum Represented by Definite Integral - II
• MATH_AVIJIT_NEMU_M 4.16_QUIZ_16
• Integration_AN_Lec 16
• 4.17: Fundamental Theorem of Integral Calculus - I
• B.TECH_BRIDGE_COURSE_MATHEMATICS_QUIZ_17
• ftc17
• 4.18: Fundamental Theorem of Integral Calculus - II
• B.TECH_BRIDGE_COURSE_MATHEMATICS_QUIZ_18
• ftc18
• 4.19: Basic of Definite Integration and Properties
• B.TECH_BRIDGE_COURSE_MATHEMATICS_QUIZ_19
• integration19
• 4.20: Area Under The curve - I
• B.tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_20
• AREA_UNDER_CURVE20
• 4.21: Area Under The curve - II
• B.Tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_21
• AREA_UNDER_CURVE21
• 4.22: Area Under The curve - III
• B.Tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_22
• AREA_UNDER_CURVE 22
• 4.23: Area Under The curve - IV
• B.Tech_BRIDGE_COURSE_MATHEMATICS_QUIZ_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-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
• 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
• 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