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  • Mathematics-I : TE (Spring 2024)
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    Mathematics-I (Differential and Integral Calculus)
    0541-111 : Mathematics I (Textile Engineering)
    Course Outline
    Reference
    Lecture 1: LIMITS (AN INTUITIVE APPROACH)
    Lesson Plan
    Limits
    Exercise 1.1 Lecture 1
    Lecture 2: COMPUTING LIMITS
    Lesson Plan
    Computing Limits
    Exercise 1.2
    Lecture 3: LIMITS AT INFINITY; END BEHAVIOR OF A FUNCTION
    Lesson Plan
    Limits at Infinity
    Exercise 1.3
    Lecture 4: Limits of Polynomial and Rational Functions
    Lesson Plan
    Limits of Polynomial and Rational Functions
    1.3 Exercise set- Limits of Polynomial and Rational Functions
    Lecture 5: Continuity
    Lesson Plan
    Continuity and Discontinuity
    Lecture 6: Properties of Continuous functions
    Lesson Plan
    Properties of Continuous functions
    1.5 Exercise Set- Continuity
    Test Yourself over Limits and Continuity
    Lecture 7: The Derivative
    Lesson plan
    Introduction to Derivative
    Lecture 8: THE DERIVATIVE FUNCTION
    Lesson Plan
    The Derivative Function
    2.2 Exercise Set- The Derivative function
    Lecture 10: THE PRODUCT AND QUOTIENT RULES
    Lesson Plan
    The Product and Quotient Rules
    The Product Rule
    The Quotient Rule
    2.4 Exercise set: The Product and Quotient Rules
    Lecture 9: INTRODUCTION TO TECHNIQUES OF DIFFERENTIATION
    Lesson Plan
    Techniques of Differentiation
    Power Rule
    2.3 Exercise Set- Techniques of Derivative
    Lecture 12: THE CHAIN RULE
    Lesson Plan
    The Chain Rule
    2.6 Exercise Set-THE CHAIN RULE
    Test Yourself over Chain Rule
    Lecture 11: DERIVATIVES OF TRIGONOMETRIC FUNCTIONS
    Lesson Plan
    Derivative of Trigonometric Functions
    2.5 Exercise Set-DERIVATIVES OF TRIGONOMETRIC FUNCTIONS
    Lecture 13: Implicit Differentiations
    Lesson Plan
    Implicit Differentiation
    3.1 Exercise Set-TOPICS IN DIFFERENTIATION
    Lecture 14: DERIVATIVES OF LOGARITHMIC FUNCTIONS
    Lesson Plan
    Derivative of Logarithmic functions
    3.2 Exercise Set
    Lecture 15: DERIVATIVES OF EXPONENTIAL AND INVERSE TRIGONOMETRIC FUNCTIONS
    Lesson Plan
    Derivative of Exponential Functions
    Derivative of Inverse Trigonometric Functions
    3.3 Exercise Set
    Lecture 16: L’HÔPITAL’S RULE; INDETERMINATE FORMS
    Lesson Plan
    L'Hospital's Rule
    3.6 Exercise Set
    Lecture 17: ANALYSIS OF FUNCTIONS I: INCREASE, DECREASE, AND CONCAVITY
    Lesson Plan
    Discussion over the lecture topic
    Lecture 18: Problems on INCREASE, DECREASE, AND CONCAVITY
    Lesson Plan
    Increasing and Decreasing Functions
    Concavity
    4.1 Exercise Set
    Lecture 19: ABSOLUTE MAXIMA AND MINIMA
    Lesson Plan
    Lesson Plan (copy)
    Maximum and Minimum
    Maximum and Minimum (copy)
    4.4 Exercise Set
    4.4 Exercise Set (copy)
    4.4 Exercise Set (copy) (copy)
    Test Yourself over Maximum and Minimum
    Lecture 20: APPLIED MAXIMUM AND MINIMUM PROBLEMS
    Lesson Plan
    Maximum and Minimum
    Maxima and Minima
    4.5 Exercise Set
    Lecture 21: ROLLE’S THEOREM; MEAN-VALUE THEOREM
    Lesson Plan
    Roles theorem and MVT
    4.8 Exercise Set
    Lecture 22: Partial Differentiation Part-1
    Lesson Plan
    Partial Derivative part-1
    13.3 Exercise Set-A
    Lecture 23: Partial Differentiation Part-2
    Lesson Plan
    Partial Derivative part-2
    Partial Derivative Exercise 13.3(1)
    Partial Derivative Exercise 13.3(2)
    Lecture 24: Introduction to Indefinite INTEGRATION
    Lesson Plan
    Indefinite Integral Part 1
    5.2 Exercise Set
    Lecture 25: INTEGRATION BY SUBSTITUTION
    Lesson Plan
    Method of Substitution part-2
    Method of Substitution part-3
    Method of substitution part-4
    5.3 Exercise set
    Lecture 26: Integration by Parts
    Lesson Plan
    Integration by parts part-1
    Integration by Parts part-2
    7.2 Exercise Set
    7.2 Exercise Set (copy)
    7.2 Exercise Set (copy)
    7.2 Exercise Set (copy)
    7.2 Exercise Set (copy) (copy)
    Lecture 28: Applications of Integration
    Lesson Plan
    Applications of Definite Integral Part-1
    Applications of Definite Integral Part-2
    Applications of Definite Integral Part-2 (copy)
    Applications of Definite Integral Part-2 (copy) (copy)
    Applications of Definite Integral Part-2 (copy) (copy) (copy)
    6.2 Exercise Set
    2
    3
    4
    5
    6
    1
    2
    3
    3 (copy)
    3 (copy)
    3 (copy) (copy)
    3 (copy) (copy)
    3 (copy) (copy)
    3 (copy) (copy) (copy)
    4
    4 (copy)
    4 (copy)
    4 (copy)
    4 (copy)
    4 (copy)
    4 (copy)
    Lecture 27: Definite Integral
    Lesson Plan
    Definite Integral Part 1
    Definite Integral part-2
    6.1 Exercise Set: Definite Integral
    6.1 Exercise Set: Definite Integral (copy)
    Mid-Term Examination
    Final Examination Syllabus
    Final Examination
    Assignment
    Topic 35
    Lectures Note
    Maximum minimum
    Successive Differentiations
    Limit Continuity and Differentiability
    Partial Differentiations
    Integration
    Assignment
    Assignment 1
    QUIZ 3
    Quiz 3
    Presentation
    Presentation
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    1. Home
    2. Courses
    3. DIU
    4. Faculty of Engineering
    5. Textile Engineering
    6. TE Spring 2024
    7. 0541-111 (MHRP-241)
    8. Summary

    Mathematics-I : TE (Spring 2024)

    • Teacher: Md. Hasibur Rahaman Peash
    Skill Level: Beginner

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