# MTH 103 Applied Precalculus - All Sections Spring 2018

## Topics and Practice Problems

Week of Topics Suggested Problems
Jan22 Diagnostic Test
1.1: What is a Function?
1.2: Functions and Expressions
1.1: #1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 31, 32, 33, 37, 39
1.2: #1, 5, 9, 11, 15, 17, 19, 20, 21, 25, 27, 29, 31, 33, 35, 37, 39
Jan29 1.3: Functions and Equations
1.4: Functions and Change
2.1: Introduction to Linear Functions
1.3: #1, 3, 5, 7, 11, 17, 19, 21, 27, 29, 33, 35(a), 37, 39, 45, 47, 49, 51, 53, 63, 67
1.4: #1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 24, 27, 31, 34, 35, 37, 39
2.1: #1, 5, 7, 9, 11, 15, 16, 17, 19, 21, 25, 27, 37, 41, 43, 45, 47, 49
Feb5 2.2 Linear Expressions
2.3: Linear Equations
2.4: Equations for Lines in the Plane
2.6: Systems of Linear Equations
2.2: #3, 5, 9, 11, 12, 13, 15, 17, 23, 25, 26, 27, 29, 31, 33, 34, 37, 43, 45, 47, 49, 51, 53, 55, 59, 61, 67
2.3: #1, 2, 3, 4, 5, 7, 9, 11, 13, 14, 19, 23, 35, 37, 39, 41, 43, 45, 47, 51, 61, 63, 65, 67
2.4: #1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 31, 33, 35, 37, 38, 39, 40, 41, 43, 45, 46, 47, 48, 49, 59, 61, 62, 63, 65, 67, 71, 73
2.6: #1, 3, 5, 6, 7, 8, 11, 13, 18, 19, 20, 21, 23, 25, 27, 29, 30, 37, 39, 45, 51, 52, 53, 55, 58, 60
From review problems for Chapter 2: page 92-93: 77, 78, 79, 80, 81, 82. In the latter six problems, if a function is linear, find a formula.
Feb12

Exam 1: Tuesday Feb13, Chafee 271, 6-7:30pm

3.3: Converting to Factored and Vertex Form
3.1: #1, 3, 5, 6, 9, 11, 13, 15, 17, 18, 21, 23, 25, 27, 33
3.2: #1, 3, 4, 5, 7, 9, 11, 13, 15, 16, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 38, 41, 42, 44, 46, 57
3.3: #3, 5, 6, 7, 9, 13, 15, 16, 17, 19, 21, 25, 27, 31, 33, 35, 36, 37, 39, 41, 43, 45, 47
Feb19 No classes Monday
4.1: Power Functions: Positive Exponents
4.2: Power Functions: Negative and Fractional Exponents
3.4: #3, 5, 9, 10, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 66, 67, 71
4.1: #1, 5, 13, 15, 17, 21, 23, 24, 25, 28, 29, 30, 31
4.2: #1, 4, 5, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 21, 23, 25, 27, 29, 31
Feb26 4.3: Power Functions and Expressions
4.4: Power Functions and Equations
4.3: #1-9, 11, 13, 15, 17, 19, 20, 21, 23, 25, 27, 29, 31 ,33-40, 50, 51, 53, 54, 55, 57, 59, 65, 70, 71, 72
4.4: #1-5, 7, 13, 15, 23, 25, 27, 31, 33, 35, 37, 38, 41, 43, 45, 47, 49, 55, 57, 79;
From review problems for Chapter 4: page 172: 1, 2, 3, 4, 5, 6, 7, 8, 9, 14, 15, 17, 20, 21, 27; page 175: 1, 9, 17, 19.
Mar5

Exam 2: Tuesday Mar6, Chafee 271, 6-7:30pm

5.1: Domain and Range
5.2: Composing and Decomposing Functions
5.1: #1, 5, 6, 7, 9, 11, 13, 15, 17, 19, 25, 27, 29, 32, 35, 37, 39, 41, 43, 45, 51, 55, 57, 59, 60
5.2: #1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 17, 20, 22, 24, 25, 30, 31, 33, 35, 37, 38, 41
Mar12

Spring Break Mar12-18

Mar19 5.3: Shifting and Scaling
5.4: Inverse Functions
5.3: #1, 2, 3, 4, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 35, 37, 41, 43, 45
5.4: #1, 3, 5, 7-11, 13, 17, 19, 33, 35
Mar26 6.1: Exponential Functions
6.2: Exponential Expressions: Growth Rates
6.3: Exponential Expressions: Half-Life and Doubling Time
Section 6.1: #1, 3, 5, 7, 8, 9, 13, 14, 15, 19-23, 25, 29, 31, 32, 34, 43-45, 47, 49
6.2: #1, 3, 5, 7, 9, 11, 21, 23, 25, 33, 36, 37, 40-45, 50, 51, 53, 57-59
6.3: #1, 3, 5,7 ,9, 11, 13, 19, 21, 23, 25, 27, 39, 41, 43, 48, 51, 53
Apr2 6.6: Exponential Functions and base e
7.1: Introduction to Logarithms
6.6: #1, 3, 5, 7, 9, 11, 15, 17, 19, 24, 25, 27, 29, 33, 37
7.1: #1, 2, 3, 5, 6, 8, 9, 11, 13, 33, 35, 36, 37, 39, 41, 43, 45, 46, 47, 49, 51, 53, 54, 55, 56, 57, 58, 59, 61, 63, 65, 73, 74, 76, 77, 79, 81
Apr9 7.2: Solving Equations Using Logarithms
7.3: Applications of Logarithms to Modeling
7.4: Natural Logarithms and Other Bases
7.2: #9, 11, 13, 15, 17, 19, 25, 27, 31, 33, 35, 37, 39, 41, 43, 45, 47, 51, 53, 55, 57, 58-61, 63
7.3: #1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 26, 27, 28, 29, 31, 33, 37, 39, 45, 49, 51, 54
7.4: #1, 3, 5, 6, 7, 8, 9, 10, 11, 13, 15, 20, 24, 21, 23, 25, 26, 27, 29, 31, 33, 36, 37, 39, 41, 49, 50, 51, 53
Apr16

Exam 3: Tuesday Apr17, Chafee 271, 6-7:30pm

Handout on Trigonometry H1: Periodic Functions
Handout on Trigonometry H2: Angles on the Unit Circle; Radian Measure
H1: #1-6
H2: #1-21
Apr23 Handout on Trigonometry H3: Sine and Cosine on the Unit Circle
Handout on Trigonometry H4: Trigonometric Functions. Modelling
H3: #1-11
H4: #1-13
Apr30 Classes end Monday
Review