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.
Representing function of one variables, Polynomial, Trigonometric, Exponential and Logarithmic functions, Range and domain of functions and their graphs.
39144+ Students
Questions : 17+
Precise definition of Limits and Continuity, Limits at infinity, Continuity, Horizontal asymptotes, Vertical and Slant asymptotes
27569+ Students
Questions : 10+
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+
Curve sketching, Review of maxima and minima of one variable, Optimization problems, Newton's method
23230+ Students
Questions : 14+
Review of Antiderivatives, Rectilinear motion, Indefinite integrals and Net change, Definite integral, The fundamental theorem of calculus, Improper integrals
17046+ Students
Questions : 6+
Areas between the curves, Volume of cylindrical cells, Approximate Integrations, Arc length, Area of surface of revolution
16845+ Students
Questions : 9+
Introduction, Introduction to first order equations separable equations, Linear equations, Second Order linear differential equations, Non homogenous linear equations, Method. . .
16129+ Students
Infinite Sequence and Series, Convergence tests and power series, Taylor's and Maclaurin's series
18812+ Students
Questions : 13+
Introduction, Applications, Dot product and cross Product, Equations of lines and Planes, Derivatives and integrals of vector functions, Arc length and curvature, Normal and . . .
15836+ Students
Questions : 8+
Limit and Continuity, Partial Derivatives, Tangent planes, Maximum and minimum values, Multiple integrals
16956+ Students
Questions : 15+
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