Use graphing software to graph a number of different exponential and logarithmic graphs. By Properties of exponential graphing these as families of graphs students should be able to form their own rules on what functions. exponential and logarithmic functions look like. Properties of log functions. Logarithms should be seen as the inverse of exponentials. Within this section of the course, the function of a function rule (chain rule), product rule and quotient rule should be revisited with the use of exponential and logarithmic functions. Differentiation and integration of (this link needs to be copied and exponential and logarithmic Integrals of and should be derived from their primitive functions. pasted into your browser). functions. Problems involving definite and indefinite integrals, area and solids of volumes of revolutions should be revisited with the use of exponential and logarithmic functions. Scope and Sequence note (taken directly from syllabus) This particular section might well benefit by splitting it into two parts. The algebraic – sections can be taught before calculus is introduced. Note index Laws should be revisited before studying properties of logarithms. –
Properties of exponential functions. Properties of log functions. Use graphing software to graph a number of different exponential and logarithmic graphs. By graphing these as families of graphs students should be able to form their own rules on what exponential and logarithmic functions look like. Logarithms should be seen as the inverse of exponentials. Differentiation and integration of exponential and logarithmic functions. Within this section of the course, the function of a function rule (chain rule), product rule and quotient rule should be revisited with the use of exponential and logarithmic functions. Integrals of and should be derived from their primitive functions. Problems involving definite and indefinite integrals, area and solids of volumes of revolutions should be revisited with the use of exponential and logarithmic functions. (this link needs to be copied and pasted into your browser). Scope and Sequence note – (taken directly from syllabus) This particular section might well benefit by splitting it into two parts. The algebraic sections can be taught before calculus is introduced. Note – index Laws should be revisited before studying properties of logarithms.