# Math 1051 Precalculus I Schedule

Wk Day Date HW # Sec Section Topic and Sub-topics Hand
In
#
probs
1   Mon 3 Sep     No Class: Labor Day
1 Tue 4 Sep     Introduction, syllabus, Diagnostic Pretest of high school algebra done in class
2 Wed 5 Sep HW1 A.2 Before class, read text pages xxvi (To Student) & pages A14 - A19 (Appendix A)
Lecture on Geometry Essentials, which includes:
Pythagorean Theorem
Geometry formulas (area, perimeter, volume)
Congruent and similar triangles
HW2   After class, do all problems on Diagnostic Test Key handed out in class   18
HW3   After class, on page A19 do odd # problems 13, 15, 21-37, 38 (ans: 4 – π), 41-53   19
3 Fri 7 Sep HW4 A.3 Before class, read text pages A22-A29 (Appendix A) HW2
At start of class, hand in HW2 which has solutions to probs on Diagnostic Test Key
Lecture on Polynomials, which includes:
Definitions
Factor using FOIL (First, Outer, Inner, Last)
Special product formulas (difference of squares, square of binomial , sum and
difference of cubes)

Divide polynomials using long division
Factor polynomials
HW5   After class, on page A29 do odd # problems 21, 23, 25, 31-43, 49, 51, 53, 57-63, 67,
71-97, 111, 113, 115
35
2 4 Mon 10 Sep HW6 A.5 Before class, read text pages A35-A41 (Appendix A)
Lecture on Rational Expressions , which includes:
Reduce
Multiply and divide
Complex rational expressions
HW7   After class, on page A41 do odd # problems 5-33   15
5 Tue 11 Sep     Discuss Sections A.2, A.3, A.5
6 Wed 12 Sep HW8 A.6 Before class, read text pages A43-A51 (Appendix A)
At start of class, hand in HW3 on Section A.2 HW3
At start of class, hand in HW5 on Section A.3 HW5
At start of class, hand in HW7 on Section A.5 HW7
Lecture on Solving Equations, which includes:
Linear
Absolute value
Complete the square
HW9   After class, on page A52 do odd # problems 25-51, 59-67, 75, 85-99, 101   29
7 Fri 14 Sep HW10 A.10 Before class, read text pages A81-A81 (Appendix A)
Lecture on nth Roots; Rational Exponents; Radical Equations, which includes:
Rational exponents
HW11   After class, on page A87 do odd # problems 7-21, 27-35, 41-51, 55-77, 87, 97   33
After class, do Exam 1, Take home exam on algebra review; due Monday 17 Sep
3 8 Mon 17 Sep HW12 1.1 Before class, read text pages 1-6
Exam At start of class, hand in Exam 1, the take home exam on algebra review Exam
Lecture on Distance and Midpoint Formulas, which includes:
Rectangular (x-y) coordinates
Distance formula
Midpoint formula
HW13   After class, on page 7 do odd # problems 11-19, 27, 35, 37, 43, 45, 49, 55, 63
Graph paper is available
13
9 Tue 18 Sep     Discuss Exam 1 on high school algebra review and Section 1.1
10 Wed 19 Sep HW14 1.2 Before class, read text pages 9-17
At start of class, hand in HW9 on Section A.6 HW9
At start of class, hand in HW11 on Section A.10 HW11
At start of class, hand in HW13 on Section 1.1 HW13
Lecture on Graphs of Equations in Two Variables , which includes:
Graph equation by plotting points
Intercepts of a graph
Test for symmetry with respect to x-axis, y-axis, and origin
Graph y = x^3, x = y^2, and y = 1/x
HW15   After class, on page 17 do odd # problems 19-23, 29, 31, 37-45, 51-63, 67, 69, 75,
77, 81
22
11 Fri 21 Sep HW16 1.3 Before class, read text pages 19-31
Lecture on Lines, which includes:
Calculate and interpret the slope of a line
Graph lines given a point and the slope
Equation of a vertical line
Equation of a horizontal line
Point-slope form of a line
Find equation of a line given two points
Slope-intercept form of a line
Identify slope and y-intercept of a line given its equation
General form of a line
Parallel lines
Perpendicular lines
HW17   After class, on page 31 do odd # problems 17, 19, 23-29, 37-71, 77-85, 91, 93, 103,
105, 115, 117
35
4 12 Mon 24 Sep HW18 1.4 Before class, read text pages 35-39
Lecture on Circles , which includes:
Standard form
Graph a circle
General form and completing the square
HW19   After class, on page 39 do odd # problems 13, 17, 21-41, 47, 49   15
13 Tue 25 Sep     Discuss Sections 1.2, 1.3, 1.4
14 Wed 26 Sep HW20 2.1 Before class, read text pages 48-59
At start of class, hand in HW15 on Section 1.2 HW15
At start of class, hand in HW17 on Section 1.3 HW17
At start of class, hand in HW19 on Section 1.4 HW19
Lecture on Functions, which includes:
Relations
Value of a function
Implicit form of a function
Domain of a function
Sums , differences, products, and quotients of functions
HW21   After class, on page 59 do odd problems 15-21, 27-39, 47-65, 71, 73, 81, 87-91, 95   28
15 Fri 28 Sep HW22 2.2 Before class, read text pages 62-66
Lecture on Graph of a Function, which includes:
Identify the graph of a function
Obtain information from the graph of a function
HW23   After class, on page 67 do odd # problems 11-25, 29a, 29b, 29d, 35, 41   13
5 16 Mon 1 Oct HW24 2.3 Before class, read text pages 71-78
Lecture on Properties of Functions, which includes:
Determine even and odd functions from a graph
Identify even and odd functions from the equation
Use a graph to determine where a function is increasing, decreasing, or con
Local maxima and local minima
Average rate of change of a function
Secant line
HW25   After class, on page 79 do odd # problems 21-43, 53, 57-63   17
17 Tue 2 Oct     Discuss Sections 2.1, 2.2, 2.3
18 Wed 3 Oct HW26 2.4 Before class, read text pages 82-88
At start of class, hand in HW21 on Section 2.1 HW21
At start of class, hand in HW23 on Section 2.2 HW23
At start of class, hand in HW25 on Section 2.3 HW25
Lecture on Library of Functions & Piecewise-defined Functions, which includes:
Square root , cube root, absolute value, square, cube, reciprocal, greatest integer
Piecewise-defined functions
HW27   After class, on page 89 do odd # problems 9-47, 51   21
19 Fri 5 Oct HW28 2.5 Before class, read text pages 92-100
Lecture on Graphing Techniques & Transformations, which includes:
Vertical shifts
Horizontal shifts
Compressions
Stretches
HW29   After class, on page 101 do odd # problems 7-35, 41, 53, 57   18
6 20 Mon 8 Oct HW30 2.6 Before class, read text pages 104-107
Lecture on Mathematical Models & Building Functions, which includes:
Word problems on building and analyzing functions
HW31   After class, on page 107 do odd # problems 1a only, 5, 7a&b only, 11a&b only, 13, 19,
23
7
21 Tue 9 Oct     Discuss Sections 2.4, 2.5, 2.6, and review for Exam 2
22 Wed 10 Oct   Rev Review for Exam 2 on Chapters 1 and 2
HW32   After class, on page 42, memorize Things to Know
HW33   After class, on page 43 do ALL these problems (not just odds): 3-6, 9-17, 19, 21, 23,
25, 27-37, 41, 47, 50. Exam problems from Chapter 1 will be like these and the other
assigned homework problems from Chapter 1.
31
HW34   After class, on pages 109-111, memorize graphs, formulas, and Things to Know
HW35   After class, on page 111 do ALL these problems (not just odds): 1, 3, 9-13, 17, 25, 27,
29, 30, 34, 35, 43, 45, 55-64, 69, 70, 73, 74a. Exam problems from Chapter 2 will be
like these and the other assigned homework problems from Chapter 2.
29
23 Fri 12 Oct HW36   Before class, study formulas and review homework problems
E In class, before exam begins, hand in HW27 on Section 2.4 HW27
X In class, before exam begins, hand in HW29 on Section 2.5 HW29
A In class, before exam begins, hand in HW31 on Section 2.6 HW31
M In class, before exam begins, hand in HW33 on Cpt 1 Review for Exam 2 HW33
In class, before exam begins, hand in HW35 on Cpt 2 Review for Exam 2 HW35
Exam 2 on Chapters 1 and 2
HW37   After class, take a well-deserved break!
7 24 Mon 15 Oct HW38 3.1 Before class, read text pages 118-123
Lecture on Linear Functions and Their Properties, which includes:
Graph linear functions
Average rate of change
Determine whether a linear function is increasing, decreasing, or constant
Applications of linear functions (word problems)
HW39   After class, on page 124 do odd # problems13, 21, 29-37, 41, 43, 45, 51   11
25 Tue 16 Oct     Return Exam 2 and discuss 3.1
26 Wed 17 Oct HW40 3.3 Note that we are skipping Section 3.2: Before class, read text pages 133-141
At start of class, hand in HW39 on Section 3.1 HW39
Lecture on Quadratic Functions and Their Properties, which includes:
Graph a quadratic function using transformations
Vertex , axis of symmetry, and intercepts of a quadratic function
Maximum or minimum value of a quadratic function
HW41   After class, on page 142 do odd # problems 11-23, 27, 31, 35, 37, 41, 53-63, 67, 69,
81, 83
22
27 Fri 19 Oct HW42 3.4 Before class, read text pages 145-149 (up to 2 Use a Graphing Utility...)
Applications of quadratic functions (word problems)
HW43   After class, on page 150 do odd # problems 3, 5, 7, 9, 11a&b&c only, 13-19   9
8 28 Mon 22 Oct HW44 3.5 Before class, read text pages 154-156
At start of class, hand in HW41 on Section 3.3 HW41
At start of class, hand in HW43 on Section 3.4 HW43
Lecture on Inequalities Involving Quadratic Functions, which includes:
Solve inequalities involving a quadratic function
HW45   After class, on page 156 do odd # problems 3, 5, 7, 9, 19, 21, 25, 33, 35   9
29 Tue 23 Oct     Discuss Sections 3.3, 3.4, 3.5 (skip Section 3.2)
30 Wed 24 Oct HW46 4.1 Before class, read text pages 164-179
Start lecture on Polynomial Functions and Models, which includes:
Degree
Power functions
Graph polynomial functions using transformations
Identify real zeros of polynomial functions and their multiplicities
Behavior near a zero
Turning points
End behavior
Analyze the graph of a polynomial function
31 Fri 26 Oct   4.1 Before class, review lecture notes from last class
cont Finish lecture on Polynomial Functions and Models
HW47   After class, on page 180 do odd # problems 23-35, 45-51, 67, 69, 77, 83   15
9 32 Mon 29 Oct HW48 4.2 Before class, read text pages 184-192
Lecture on Properties of Rational Functions, which includes:
Domain
Vertical asymptotes
Horizontal or oblique asymptotes
HW49   After class, on page 192 do odd # problems 11-17, 23, 25, 29, 33, 37-49   15
33 Tue 30 Oct     Discuss Sections 3.5, 4.1, 4.2
34 Wed 31 Oct HW50 4.3 Before class, read text pages 195-206
At start of class, hand in HW45 on Section 3.5 HW45
At start of class, hand in HW47 on Section 4.1 HW47
At start of class, hand in HW49 on Section 4.2 HW49
Start lecture on Graph of a Rational Function, which includes:
Analyze the graph of a rational function, including holes.
Applications of rational functions (word problems)
35 Fri 2 Nov   4.3 Before class, review lecture notes from last class
cont Finish lecture on Graph of a Rational Function
HW51   After class, on page 206 do odd # problems 7-15, 25, 33, 41, 53a, 55a   10
10 36 Mon 5 Nov HW52 4.4 Before class, read text pages 209-213
Lecture on Polynomial and Rational Inequalities, which includes:
Solve polynomial inequalities
Solve rational inequalities
HW53   After class, on page 213 do odd # problems 3-13, 17, 21, 23, 27, 29, 41, 51   13
37 Tue 6 Nov     Discuss Sections 4.3, 4.4 Note that we are skipping sections 4.6 and 4.7
38 Wed 7 Nov   Rev Review for Exam 3 on Chapters 3 and 4
HW54   After class, on page 158, memorize Things to Know
HW55   After class, on page 158 do ALL these problems (not just odds): 1, 3, 5, 9-15, 19, 25,
29, 31-34, 35, 37, 40, 44
21
HW56   After class, on page 234, memorize Things to Know through Rational function
HW57   After class, on page 236 do ALL these problems (not just odds): 5-9, 11, 19, 20, 23,
25, 29, 31, 35, 37, 39, 42, 89a, 89b
17
39 Fri 9 Nov HW58   Before class, study formulas and review homework problems
E In class, before exam begins, hand in HW51 on Section 4.3 HW51
X In class, before exam begins, hand in HW53 on Section 4.4 HW53
A In class, before exam begins, hand in HW55 on Cpt 3 Review for Exam 3 HW55
M In class, before exam begins, hand in HW57 on Cpt 4 Review for Exam 3 HW57
Exam 3 on Chapters 3 and 4
HW59   After class, take a well-deserved break!
11 40 Mon 12 Nov HW60 5.1 Before class, read text pages 242-246
Lecture on Composite Functions, which includes:
Form a composite function
Domain of a composite function
HW61   After class, on page 247 do odd # problems 7, 11, 13, 19-29, 33, 35, 41, 53, 55, 61,
65, 69
17
41 Tue 13 Nov     Return Exam 3 and discuss section 5.1
42 Wed 14 Nov HW62 5.2 Before class, read text pages 249-259
At start of class, hand in HW61 on Section 5.1 HW61
Lecture on One-to-One Functions & Inverse Functions, which includes:
Determine whether a function is one-to-one
Inverse of a function by mapping
Graph of the inverse of a function
Inverse of a function given its equation
HW63   After class, on page 259 do odd # problems 9-19, 31, 35, 49, 53, 59-65, 69, 73, 77,
89
18
43 Fri 16 Nov HW64 5.3 Before class, read text pages 263-272
Lecture on Exponential Functions, which includes:
Definition
Graph exponential functions
Define the number e
Solve exponential equations
HW65   After class, on page 273 do odd # problems 11, 17, 19, 29-39, 43, 57-77, 83   22
12 44 Mon 19 Nov HW66 5.4 Before class, read text pages 277-285
Lecture on Logarithmic Functions, which includes:
Change between log and exponential forms
Evaluate logarithmic expressions
Domain
Graph logarithmic functions
Solve logarithmic equations
HW67   After class, on page 286 do odd # problems 9, 13, 17, 23, 29, 33, 37, 43, 49, 63-69,
87-93, 99-109, 119, 131, 133a, 133b, 133c, 133d
25
45 Tue 20 Nov
 Prev Next