This course explains the concept of polynomial functions and methods of integration. It takes you through the methods used to find the zeros of a polynomial function. You will also be introduced to the method used to draw a polynomial equation graph and find a polynomial function equation. Study the concept of rate of change together with the methods used in finding the slope of the tangent to a curve then learn about derivations, differentiability, and continuity. This course teaches you the essential techniques covered by the intermediate value theorem. You will study the differentiation rules, derivations of trigonometric functions, and the procedure used for differentiating a parametrized curve. Higher-order derivatives will also be covered as well as the application and differentiation of implicit functions.

Taking this course will provide you with the knowledge of the derivations of functions and the procedures for finding derivatives using logarithmic differentiation. You will be taught about the applications of the derivative in real-life problems. Learn about the linear approximations, the concept of Newton's method, and the application of the L'Hopital rule. Study the expansion of a binomial in addition to the application and the proof of the power rule. You will also study the applications and methods used to prove the rule for keeping a multiplicative constant. Do you know how to carry out the conversion process from rectangular to polar coordinates? The course shows you how to represent an odd number, dummy variable and how to use sigma notation to write an average formula. It also explains how to list the first four terms of sequence and the monotonic behaviour of a sequence. If you have struggled with understanding the properties and laws of the definite integral, then this course is for you.

Furthermore, you will also learn how to use the mathematical induction technique and the representation of the sigma sum. This course takes you through the use of Riemann sums with subintervals to estimate the distance travelled by a particle whose velocity is given. You will also learn how to reconfigure the integral in terms, as well as the natural exponential functions. Do you know how to list the first four terms of sequence and the monotonic behaviour of a sequence? This course will help you get a better understanding of the counting trick of counting ordered partitions of n. It explains in detail the steps required in finding the area under a curve, as well as the calculus techniques that can be employed to solve ancient problems of calculating complex areas. Create your account and enrol for free!