![]() ![]() Integrals as a ‘sum,’ computed as a limit of Riemann sums.Derivatives as rates of change, computed as a limit of ratios.Course GoalsĪfter completing this course, students should have developed a clear understanding of the fundamental concepts of multivariable calculus and a range of skills allowing them to work effectively with the concepts. ![]() We will see something similar in multivariable calculus and the capstone to the course will be the three theorems (Green’s, Stokes’ and Gauss’) that do this. In single variable calculus the Fundamental Theorem of Calculus relates derivatives to integrals. This makes visualization of graphs both harder and more rewarding and useful.īy the end of the course you will know how to differentiate and integrate functions of several variables. One key difference is that more variables means more geometric dimensions. In this course we will also study graphs and relate them to derivatives and integrals. In your calculus class you studied the graphs of functions y=f(x) and learned to relate derivatives and integrals to these graphs. Single variable calculus is a highly geometric subject and multivariable calculus is the same, maybe even more so.
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