# Study Materials in Mathematics

##### Trigonometry Course in Mathematics for the IIT-JEE and Other Engineering Exams

PART A: TRIGONOMETRIC FUNCTIONS AND IDENTITIES Lecture 1: Measurement of Angles Lecture 2: Trigonometric Functions Lecture 3: Quadrants Lecture 4: Trigonometric Functions of Compound Angles Lecture 5: Sum and Difference of Two Angles Lecture 6: Trigonometric Ratios of Multiple and Sub-Multiple Angles Lecture 7: Identities of Trigonometric Functions Lecture 8: Graphs of Trigonometric Functions PART B: TRIGONOMETRIC EQUATIONS AND INEQUALITIES Lecture 1: Trigonometric Equations PART C: PROPERTIE...

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##### MAT 142 VECTORS AND GEOMETRY

Unit 1 Scalar and vectors – representation of vectors. Unit 2. Definitions of Terms in vector Algebra Unit 3. The triangle and parallelogram law of vector addition Unit 4. The rectangular Unit Vectors. Unit 5. Components of a vector. Unit 6. Collinear vectors Unit 7. Non collinear Vectors. Unit 8. Rectangular Resolution of Vectors. Unit 9. The scalar or Dot Product. Unit 10. Properties of Scalar or Dot products Unit 11. Direction cosines Unit 12. Applications of scalar or dot products Unit ...

128 PAGES (25686 WORDS)
##### MAT 141 (COORDINATE GEOMETRY)

EQUATIONS OF A STRAIGHT LINE COLLINEAR POINTS

14 PAGES (15 WORDS)
##### Higher Engineering Mathematics (Sixth Edition) - Copy

Algebra Partial fractions Logarithms Exponential Hyperbolic functions Arithmetic and geometric progressions The binomial series 8 Maclaurin’s series Solving equations by iterative methods Binary, octal and hexadecimal Introduction to trigonometry Cartesian and polar co-ordinates The circle and its properties Trigonometric waveforms Trigonometric identities and equations The relationship between trigonometric and hyperbolic functions Compound angles Functions and their curve...

705 PAGES (288946 WORDS)
##### MTH 112 DIFFERENTIAL CALCULUS

Basic Properties of Real Numbers  Basic Properties of Real Numbers Characteristics of Functions Limits Algebra of Limits Algebra of Limits Differentiation Rules for Differentiation I Rules for Differentiation II Further Differentiation Differentiation of Logarithmic Functions and Exponential function Differentiation of Trigonometric 41 Functions Differentiation Inverse Trigonometric Functions and Hyperbolic Functions Curve Sketching Maximum – Minimum and Rate Problems Approximation, Veloci...

278 PAGES (51270 WORDS)
##### Mat 112 Test Que Solution

Mat 112 Test Que Solution

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##### Pure Mathematics for Advanced Level

Operations with Real Numbers Finite Sequences and Series The Binomial Theorem Complex Numbers The Quadratic Function and the Quadratic Equation Properties of the Trigonometric Functions Trigonometric Equations The Solution of Triangles The Fundamental Ideas of the Differential Calculus Some Techniques of Differentiation Some Applications of Differentiation The Logarithmic and Exponential Function The Basic Ideas of Integration Some Methods of Integration Some Applications of the Integral Calc...

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##### SYSTEMATIC APPROACH OF RESEARCH METHODOLOGY

In this work, we try to analyse the approach of writing a highly reputable published researched work. The concept of research is discussed which includes some technical definitions of research. To further the discussion,  we explain the five main important components of research approach processes which include : introductory part, literature review, methods of analysis,  main result,  discussion,  conclusion, recommendation and finally the references.  Dr. Ekaka-a Enu-Obari N (2018) def...

9 PAGES (1234 WORDS)
##### Breakthrough on Lp spaces

In this section we discuss an important construction, which is extremely useful in virtually all branches of Analysis. In Section 1, we have already introduced the space L1. The rst construction deals with a generalization of this space.

12 PAGES (5336 WORDS)