Tamu mat - Study guides, Class notes & Summaries

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 taken on the topic of antiderivatives as taught by Amy Austin in MATH 151 at TAMU. These notes contain formulas and definitions for antiderivatives (integrals) and shortcuts for them from certain functions such as x^n, e^x, a^x, and so on. There are also numerous examples showing work for these formulas and shortcuts as well as a couple of real-world examples.

Notes taken on the topic of the definite integral as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions for how to solve definite integrals, as well as numerous examples with work and diagrams supporting the definitions.

Notes taken on the topic of the mean value theorem as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions and explanations of the mean value theorem as well as Rolle's theorem. They then go into detail and provide multiple examples and work for each theorem.

Notes taken on the topic of optimization problems as taught by Amy Austin in MATH 151 at TAMU. These notes contain multiple word problem examples with formulas and detailed work for using calculus to find the optimized values in a specific situation.

Notes taken on the topic of areas and distances as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions and formulas for estimating areas and distances under curves using the Riemann sum method. They also contain numerous examples showing this work and diagramming.

Notes written on the topic of explaining derivatives as a function as taught by Amy Austin in MATH 151 at TAMU. These notes contain the definition and interpretations of derivatives as explained in their basic terms, including the formula for a derivative described as a limit and other examples.

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 the fundamental theorem of calculus as taught by Amy Austin in MATH 151 at TAMU. These notes contain a definition of the fundamental theorem of calculus, which is the basis for understanding integrals. They then go on to show work for numerous examples of using this definition.

Notes written on the topic of inverse trigonometric functions as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions, properties, and examples of the inverse trigonometric functions.