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Math 104 Unit 3 - MthSc 104 Precalculus and Introductory...

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MthSc 104 Precalculus and Introductory Differential Calculus (first semester of year-long calculus) Fall 2009 Unit 3 Skill Set Just-In-Time Sections 6.1 - 6.2, 7.1 - 7.4, 12, 13 University Calculus Sections 3.2 - 3.6 Note: * indicates that this objective is covered in MML but there is not a specific problem correlation to the Just-in- Time text. Second Note: Almost all unassigned problems in the Just-in-Time sections are recommended as additional practice. JIT Section 6.1: The Family of Exponential Functions Assessment Item Correlated MML Problems JIT textbook (written, required) Graph functions of the form a^x , for a >1 JIT: * UC 1.4: 1, 5, 7 1a, 1b Graph functions of the form a^x , for 0< a <1 JIT: * UC 1.4: (1, 5, 7) (1) JIT Section 6.2: The Function e^x Assessment Item Correlated MML Problems JIT textbook (written, required) UC Textbook (written) Graph the function y=e^x JIT: * 2a, 2d Understand the properties of y=e^x 1.4: 21 5, 6, 8 Evaluate limits involving exponentials UC 2.4: 47 UC 2.6: 33 2.4: 49, 50 UC Section 3.2: Differentiation Rules for Polynomials, Exponentials, Products, and Quotients Assessment Item Correlated MML Problems UC Textbook (written) Find the derivative of a function using the differentiation rules. 1, 7, 9, 13, 17, 25, 27, 29, 37, 41, 43, 45 31, 35 Find the second derivative of a function. (1, 7, 9, 37, 41, 43, 45) Find the derivatives of all orders of a function. (37) Given values for functions and their derivatives at a point, find the value of a derivative at that given point.
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