math 151 (MATH151)

Notes written on the topic of Chain Rule as taught by Amy Austin in MATH 151 at TAMU. These notes contain the formula for the chain rule of derivatives as well as numerous examples using various functions including trigonometry and e values.

Notes taken on the topic of implicit differentiation as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions of implicit differentiation and tangency as well as numerous examples with work for each. There are also equations provided for the derivatives of inverse trigonometry such as arcsin and arccos.

Notes taken on the topic of integration by substitution as taught by Amy Austin in MATH 151 at TAMU. These notes provide numerous examples and work for integration problems using the method of substitution to solve them.

Notes taken on the topic of vectors as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions for vectors and their various manipulations such as sum, difference, and unit vectors. It also provides numerous examples and work for these definitions. Finally, it has a page of real-world applications of the concepts previously explained to physics and engineering.

Notes taken on the topic of dot products as taught by Amy Austin in MATH 151 at TAMU. These notes provide definitions of dot products, orthogonal complements, and vector and scalar projections, as well as numerous real-world applications of these terms using force and work (W = Fd).

Notes taken on the topic of vector functions as taught by Amy Austin in MATH 151 at TAMU. These notes provide a brief definition of parametric curves and vector functions and then show numerous examples on how to use these expressions to describe lines, curves, and other mathematical expressions.