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## Gullybaba IGNOU BSCG (Mathematics)(New CBCS) BMTC-131 Calculus and BMTC-132 Differential Equations (In English) First year Combo of ignou help books with solved sample papers and Important Exam Study Notes based on Latest Syllabus

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## Description

BMTC-131 CALCULUS

TOPICS COVER

Block-1 Essential Preliminary Concepts
1 SETS AND OPERATIONS ON THEM
2 FUNCTIONS
3 2D COORDINATE SYSTEMS
4 COMPLEX NUMBERS
5 POLYNOMIAL EQUATIONS AND THEIR SOLUTIONS

Block-2 Limit and Continuity
6 REAL NUMBERS
7 LIMIT
8 CONTINUITY

Block-3 Differentiation
9 AN INTRODUCTION TO DIFFERENTIATION
10 SOME MORE DERIVATIVES
11 HIGHER ORDER DERIVATIVES

Block-4 Applications of Differential Calculus
12 INDETERMINATE FORMS
13 THE UPS AND DOWNS
14 CURVATURE
15 ASYMPTOTES
16 CURVE TRACING

Block-5 Integration
17 INTRODUCTION TO INTEGRATION
18 METHODS OF INTEGRATION
19 REDUCTION FORMULAS
20 APPLICATIONS OF INTEGRATION

Total Question Papers (Total-4, Solved-2, Unsolved-2)
Sample Question Paper-I
Sample Question Paper-II
Guess Paper-I
Guess Paper-II

BMTC-132 DIFFERENTIAL EQUATIONS

TOPICS COVERED

Block-1 Functions of Two and Three Variables
1 R2 and R3
2 Limit and Continuity R2 and R3
3 First Order Partial Derivatives and Differentiability
4 Higher Order Partial Derivatives
5 Chain Rule and Homogeneous Functions

Block-2 Ordinary Differential Equations of First Order
6 Introducing Differential Equations
7 Solving First Order and First Degree Differential Equations
8 Linear Differential Equations
9 First Order Differential Equations of Degree Greater than One

Block-3 Second and Higher Order Ordinary Differential Equations
10 Higher Order Linear Differential Equations
11 Method of Undetermined Coefficients
12 Differential Equations with Variable Coefficients
13 Method of Differential Operators

Block-4 First Order Partial Differential Equations
14 Simultaneous Differential Equations
15 Total differential equations
16 Linear Partial Differential Equations
17 First Order Partial Differential Equations

TOTAL QUESTION PAPERS(Total-4, Solved-2, Unsolved-2)
Sample Question Paper-I
Sample Question Paper-II
Guess Paper-I
Guess Paper-II