Synopsis
This course expands the concepts of functions and limits to two variables. Linear, polynomial, logarithmic, exponential, and trigonometric functions will be discussed. The focus will be on understanding and solving partial derivatives of differentiation, as well as double and triple integrals with simple applications. Students are then introduced to differential equations, focusing on separable differential equations and second-order linear equations. Infinite series, Taylor-MacLaurin series, and Fourier series are taught with a view to examining the theory and properties of certain functions that can be represented as sums of series.