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Subject

Mathematics I

This course makes students able to understand and formulate real-world problems into mathematical statements and also develop solutions to mathematical problems at the level appropriate to the course.

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Function of One Variable

Representing function of one variables, Polynomial, Trigonometric, Exponential and Logarithmic functions, Range and domain of functions and their graphs.

Representing function of one variables, Polynomial, Trigonometric, Exponential and Logarithmic functions, Range and domain of functions and their graphs.

39144+ Students

Questions : 17+

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Limits and Continuity

Precise definition of Limits and Continuity, Limits at infinity, Continuity, Horizontal asymptotes, Vertical and Slant asymptotes

Precise definition of Limits and Continuity, Limits at infinity, Continuity, Horizontal asymptotes, Vertical and Slant asymptotes

27569+ Students

Questions : 10+

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Derivatives

Tangents and velocity, Rate of change, Review of Derivative, Differentiability of a function, Mean value theorem, Indeterminate forms and L-Hospital Rule

Tangents and velocity, Rate of change, Review of Derivative, Differentiability of a function, Mean value theorem, Indeterminate forms and L-Hospital Rule

24644+ Students

Questions : 12+

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Applications of Derivatives

Curve sketching, Review of maxima and minima of one variable, Optimization problems, Newton's method

Curve sketching, Review of maxima and minima of one variable, Optimization problems, Newton's method

23230+ Students

Questions : 14+

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Antiderivatives

Review of Antiderivatives, Rectilinear motion, Indefinite integrals and Net change, Definite integral, The fundamental theorem of calculus, Improper integrals

Review of Antiderivatives, Rectilinear motion, Indefinite integrals and Net change, Definite integral, The fundamental theorem of calculus, Improper integrals

17046+ Students

Questions : 6+

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Applications of Antiderivatives

Areas between the curves, Volume of cylindrical cells, Approximate Integrations, Arc length, Area of surface of revolution

Areas between the curves, Volume of cylindrical cells, Approximate Integrations, Arc length, Area of surface of revolution

16845+ Students

Questions : 9+

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Ordinary Differential Equations

Introduction, Introduction to first order equations separable equations, Linear equations, Second Order linear differential equations, Non homogenous linear equations, Method. . .

Introduction, Introduction to first order equations separable equations, Linear equations, Second Order linear differential equations, Non homogenous linear equations, Method of undetermined coefficients

16129+ Students

Questions : 10+

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Infinite Sequence and Series

Infinite Sequence and Series, Convergence tests and power series, Taylor's and Maclaurin's series

Infinite Sequence and Series, Convergence tests and power series, Taylor's and Maclaurin's series

18812+ Students

Questions : 13+

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Plain and Space Vectors

Introduction, Applications, Dot product and cross Product, Equations of lines and Planes, Derivatives and integrals of vector functions, Arc length and curvature, Normal and . . .

Introduction, Applications, Dot product and cross Product, Equations of lines and Planes, Derivatives and integrals of vector functions, Arc length and curvature, Normal and binomial vectors, Motion in space

15836+ Students

Questions : 8+

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Partial Derivatives and Multiple Integration

Limit and Continuity, Partial Derivatives, Tangent planes, Maximum and minimum values, Multiple integrals

Limit and Continuity, Partial Derivatives, Tangent planes, Maximum and minimum values, Multiple integrals

16956+ Students

Questions : 15+

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