MthSc 104
Precalculus and Introductory Differential Calculus (first semester of year-long calculus)
Fall 2009
Unit 1 Skill Set
Just-in-Time Sections 1.1 - 1.5, 1.8, 3.1 - 4.6, 5.1 - 5.5, 10.1 - 10.6
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.
UC Section 2.1: Rates of Change and Tangents to Curves
Assessment Item
Correlated
MML Problems
UC Textbook
(written)
Find the average rate of change of a function over a given interval.
(That is, find the slope of the secant line between two points on a
curve.)
1, 3
Find the slope of a curve at a given point using the formula for the
slope of a secant line through that point and a nearby point.
10
7, 9
Find an equation of the tangent line to a curve at a given point.
(10)
(9)
JIT Section 1.1: Multiplying and Dividing Fractions
Assessment Item
Correlated
MML Problems
JIT textbook
(written,
required)
Multiply and Divide Fractions
JIT: *
2, 4, 6, 7, 8, 9,
11, 12, 14
JIT Section 1.2: Adding and Subtracting Fractions
Assessment Item
Correlated
MML Problems
JIT textbook
(written,
required)
Add and Subtract Fractions.
JIT: *
4, 8, 10, 14, 15
JIT Section 1.3: Parentheses
Assessment Item
Correlated
MML Problems
JIT textbook
(written,
required)
Use of parentheses to group numbers.
JIT: *
2, 6, 8, 9, 13
JIT Section 1.4: Exponents
Assessment Item
Correlated
MML
Problems
JIT
textbook
(written,
required)
UC
Textbook
(written)
Understand and utilize the laws of exponents for integer
exponents
JIT: *
UC 1.4: 11,
13, 19
4, 5, 9, 10,
14, 18, 19,
21, 22
1.4: 15
JIT Section 1.5: Roots
Assessment Item
Correlated
JIT textbook