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
, for 0<
<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