Course Details

Country: Australia
Course Title: Calculus and Linear Algebra B
Course Number: MATH12224
Course Description: The unit covers topics in single variable integral calculus and linear algebra. The fundamental theorem of calculus is studied as well as various techniques for evaluating integrals like the substitution rule, integration by parts, trigonometric substitution and various numerical approximations. A number of applications of integral calculus are investigated including finding the area between curves, the volume of solids and cylindrical shells, the length of a curve, the average value of a function, as well as applications in physics and engineering . Modelling real world problems with differential equations is studied along with techniques for solving first order differential equations using direction fields and Euler’s method, or using methods for separable equations. The use of differential equations to formulate exponential and logistic models of various growth and decay processes is also investigated.
Language: English
Approved Equivalent: MATH 114
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