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•   Indeterminate forms
•   Integration
•   Trigonometric integrals
•   Integration of exponential functions
•   Integration by parts
•   Integration by means of substitution
•   Integration by using partial fractions
•   Differential equations of order one
•   Rolle's theorem and Lagrange's mean value theorem
•   Maximas and minimas 

Our proven 4-step learning approach enables students to understand mathematical concepts and apply these concepts to successfully solve practical problems. We equip you with tips for tricky questions, and teach shortcuts to improve testing speed and mental calculations.

Our examples below illustrate our comprehensive explanation with all steps. This means: Better understanding and Greater success in Advanced Calculus for YOU

1.	Evaluate Let
2.	Find When we give the limit  the function becomes in form, therefore by applying L-Hospital's rule we can find the limit.                                          Then again by using L-Hospital's rule, we get
3.	Find a point on the parabola, where the tangent is parallel to the chord joining (3, 0) and (4, 1). Here we are asked to find the coordinate of the point where the tangent is parallel to the chord joining (3, 0) and (4, 1). To find this coordinate we need to apply Lagrange's mean value theorem for the functionin the interval [3, 4]. We know that all the polynomial functions are continuous functions. Therefore is also a continuous function, and , which exists for all , so is differentiable in (3,4). Thus both the conditions of Lagrange's mean value theorem are satisfied. So, there must exist a point such that Now                          Therefore,                                                                                               , which belongs to (3, 4). Thus,                   So, at the pointon the given curve the tangent is parallel to the chord joining the points (3, 0) and (4, 1).
4.	Evaluate Let                                                                                                                   By putting                           Therefore,                                                 So,