Course Objectives:

1. To understand the concepts matrices, progressions, trigonometry, two dimensional geometry and calculus.
2. To solve linear equations representing physical systems.
3. To understand the importance of calculus and their applications.

Learning Outcomes:

Upon successful completion of this course, the student will be able:

1. To represent linear systems by matrices and solve them for unknown variables.
2. To evaluate nth terms, trigonometric ratios, locus and to solve differential equations.

Course Syllabus:

Module I:  Matrices:                                                                                                 5 Hours

Introduction, types of matrices, Scalar multiple of a matrix and multiplication of matrices, Transpose of a matrix, Determinants,

Module II                                                                                                                   5 Hours

Adjoint of a matrix, Inverse, Application of determinants to solve simultaneous equations (Cramer’s Rule)

Module III:  Arithmetic and Geometric Progression:                                            5 Hours

Introduction, Arithmetic Progression, Sum of n terms of an arithmetic progression, Geometric Progression, Sum of n terms of Geometric Progression.

Module IV: Trigonometry:                                                                                       5 Hours

Introduction, Trigonometric ratios and the relations, Trigonometric ratios of compound angles,

(Sin (A+B), Cos (A+B), Tan (A+B) formulae only),   Trigonometric ratios of multiple angle

(Sin 2A, cos2A, tan 2A), Heights and distances.

Module V: Co –ordinate Geometry                                                                         5 Hours

Distances between points-Area of a triangle, Co-ordinates of a point dividing a given segment in a given ratio – locus -equation to a straight line in different forms-Angle between straight lines-point of intersection.

Module VI: DIFFERENTIAL CALCULUS                                                         5 Hours

Simple concepts of functions, limits, Continuity and Differentiation, Differentiation, First order derivatives of elementary functions.

Module VII: INTGRAL CALCULUS:                                                                  5 Hours

Indefinite integrals, Integration as on inverse process of differentiation, integration by substitution, integration by parts, integration of algebraic function.   Definite integrals.

 Differential equations: Formation of a differential equation, order and degree, solution of first order differential equations (Variables separable method)

TEXT BOOKS

1. Intermediate first and second year mathematics by Telugu Akademi, A. P State in Institute of Telugu language, Hyderabad. Text Book for A. P ,
2. Intermediate –I A : 3. (3.1, 2, 3.3,3.4, 3.5, 3.7.1)  6 ( 6.1, 6.2, 6.3)
3. Intermediate –I B : 3 : ( 3.1-3.5, 3.8), 8( 8.2,8.3,8.4) , 9 (9.1, 9.2, 9.3, 9.4)

• Intermediate –II B : 6, 7 ( simple problems)  8 (8.1, 8.2(a))

Reference Books,

1. Higher Engineering Mathematics by DR. B. S. Grewal. 44^th Edition, 2017.
2. Remedial Mathematics by SahanazBatul, PHI learning private Limited, 2012.
3. Intermediate Mathematics IA, I B, II A and II B, S. Chand Publications 2017.

Session Plan

Session 1

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Session 2

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Case Studies

Case Studies

Course Objectives

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Learning Outcomes

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Course Syllabus

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Session Plan

Session 1

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Session 2

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Case Studies

Case Studies