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Resources » Articles/Knowledge Sharing » Education »
IETE - Syllabi DIPIETE Examination - DC01 MATHEMATICS -I
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1. Algebra 6 hours
1.1 Arithmetic progression.
1.2 Geometric progression.
1.3 Sum of squares and cubes of finite number of natural numbers.
1.4 Mathematical Induction.
1.5 Exponential and Logarithmic functions.
1.6 Binomial Theorem (without proof) for any index.
1.7 Quadratic equations and inequations.
1.8 Permutations and combinations.
II [3, 11-14]
2. Trigonometry 8 hours
2.1 Angles and their measures.
2.2 Trigonometric ratios.
2.3 Trigonometric functions.
2.4 Periodicity of trigonometric functions.
2.5 Sums and Difference formulae (without proof) and their applications.
2.6 Trigonometric ratios of multiple and sub-multiple of angles (2A, 3A and A/2 only).
2.7 Simple Trigonometric identities.
2.8 Sine and cosine formulae.
2.9 Napier Analogy.
2.10 Law of projection and Half angle formula.
2.11 Inverse trigonometric functions.
II [2]; III [1, 2, 7-9]
3. Coordinate Geometry 16 hours
3.1 Cartesian and polar coordinates of a point and their conversion.
3.2 Distance between two points.
3.3 External and Internal division formulae (without proof).
3.4 Coordinates of centroid and incentre of a triangle.
3.5 Area of a triangle when its vertices are given.
3.6 Equation of straight line in various standard forms.
3.7 Intersections of straight lines.
3.8 Angle between two straight lines.
3.9 Perpendicular distance formula.
3.10 Circle.
3.11 Standard and general equation of a circle.
3.12 Finding equation of circle when center and radius is given.
3.13 Conic.
3.14 Definition of a conic.
3.15 Parabola, ellipse, hyberbola and their standard equations (without proof).
3.16 Finding equations of a conic when its focus, directrix and vertex are given.
I [4]; II [4, 5, 7,8]
4. Differential Calculus 12 hours
4.1 Limit and continuity of a functions.
4.2 Standard limits.
4.3 Evaluation of simple limits.
4.4 Differentiation – Definition and geometrical interpretation of derivative.
4.5 Physical meaning of derivative.
4.6 Differentiation from the first principle of .
4.7 Derivative of sum, product, quotient and composite of two functions.
4.8 Differentiation of sec x, cosec x, cot x and inverse trigonometric functions.
4.9 Differentiation of functions in implicit and parametric forms.
4.10 Applications of Differentiation-Tangents and normals, maxima and minima.
I [5]
5. Integral Calculus 12 hours
5.1 Indefinite integrals.
5.2 Integration as inverse of differentiation.
5.3 Simple integration by substitution, integration by parts and by partial fractions.
5.4 Definite integral.
5.5 Geometrical interpretation of definite integral.
5.6 Properties of definite integrals.
5.7 Evaluation of simple definite integrals.
5.8 Reduction formulae.
5.9 Evaluation of (m, n being positive integers).
5.10 Applications: Area under the curve and x-axis.
5.11 Volume and surface of solids formed by revolution of areas under a curve, about x-axis.
I [6]
6. Differential Equations 6 hours
6.1 Order and degree of differential equation.
6.2 Solution of differential equations of first order and first degree – homogeneous differential equation and solutions of differential equation in variable separable form.
6.3 Linear differential equation of first order.
I [7]
Text Book
I. H K Dass, ‘ Applied Mathematics for Polytechnics’, CBS Publishers & Distributors.
II. Mathematics, A text book for Class XI National Council of Educational Research & Training.
III. S L Loney, ‘Plane Trigonometry’ Part I.
Reference Books
1. S L Loney, ‘Elements of Coordinate Geometry
2. Shanti Narayan, ‘Differential Calculus’, S Chand & Co.,
3. Shanti Narayan, ‘ Integinl Calculus’, S Chand & Co.,
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