Math151 - Study guides, Class notes & Summaries

Our instructor allowed 4 pages of notes on the final exam. These were the notes I used. They cover all the concepts from the class with steps to solve the most difficult concepts such as inequalities, matrices, etc.

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).

MATH CALC EXAM prep

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.

Notes taken on the topic of linear approximations and differentials as taught by Amy Austin in MATH 151 at TAMU. These notes contain formulas and explanations for how to perform linear approximations and differentials. They also contains lots of examples showing how to use these formulas.

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 related rates as taught by Amy Austin in MATH 151 at TAMU. These notes contain numerous real-world examples as well as formulas and expressions used to solve problems on related rates.

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 written on the topic of continuity as taught by Amy Austin in MATH 151 at TAMU. These notes contain the definition of continuity and various examples of how to find the continuity of a function. The intermediate value theorem is also present, all summing to provide a basis of terms and understandings for derivatives.

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.