Solve an equation, inequality or a system.

Example: 2x-1=y, 2y+3=x

Math 1051 Precalculus I Schedule

Day

Date

HW #

Sec

Section Topic and Sub-topics

Hand
In

#
probs

Mon 3 Sep

No Class: Labor Day

Tue 4 Sep

Introduction, syllabus, Diagnostic Pretest of high school algebra done in class

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

HW3

After class, on page A19 do odd # problems 13, 15, 21-37, 38 (ans: 4 – π), 41-53

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

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

Add and subtract

Complex rational expressions

HW7

After class, on page A41 do odd # problems 5-33

Tue 11 Sep

Discuss Sections A.2, A.3, A.5

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

Quadratic and higher order

Absolute value

Complete the square

Quadratic formula

HW9

After class, on page A52 do odd # problems 25-51, 59-67, 75, 85-99, 101

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:

Simplify radicals

Add and subtract radicals

Rationalize denominators of radicals

Solve radical equations

Rational exponents

HW11

After class, on page A87 do odd # problems 7-21, 27-35, 41-51, 55-77, 87, 97

After class, do Exam 1, Take home exam on algebra review; due Monday 17 Sep

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

Comments on Exam 1

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

Tue 18 Sep

Discuss Exam 1 on high school algebra review and Section 1.1

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

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

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

Tue 25 Sep

Discuss Sections 1.2, 1.3, 1.4

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

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

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

Tue 2 Oct

Discuss Sections 2.1, 2.2, 2.3

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

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

Reflections about x-axis and y-axis

HW29

After class, on page 101 do odd # problems 7-35, 41, 53, 57

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

Tue 9 Oct

Discuss Sections 2.4, 2.5, 2.6, and review for Exam 2

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.

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.

Fri 12 Oct

HW36

Before class, study formulas and review homework problems

In class, before exam begins, hand in HW27 on Section 2.4

HW27

In class, before exam begins, hand in HW29 on Section 2.5

HW29

In class, before exam begins, hand in HW31 on Section 2.6

HW31

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!

Mon 15 Oct

HW38

3.1

Before class, read text pages 118-123

Comments on Exam 2

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

Tue 16 Oct

Return Exam 2 and discuss 3.1

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:

Define quadratic function

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

Fri 19 Oct

HW42

3.4

Before class, read text pages 145-149 (up to 2 Use a Graphing Utility...)

Lecture on Quadratic Models & Building Quadratic Functions, which includes:

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

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

Tue 23 Oct

Discuss Sections 3.3, 3.4, 3.5 (skip Section 3.2)

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

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

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

Tue 30 Oct

Discuss Sections 3.5, 4.1, 4.2

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)

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

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

Tue 6 Nov

Discuss Sections 4.3, 4.4 Note that we are skipping sections 4.6 and 4.7

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

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

Fri 9 Nov

HW58

Before class, study formulas and review homework problems

In class, before exam begins, hand in HW51 on Section 4.3

HW51

In class, before exam begins, hand in HW53 on Section 4.4

HW53

In class, before exam begins, hand in HW55 on Cpt 3 Review for Exam 3

HW55

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!

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

Tue 13 Nov

Return Exam 3 and discuss section 5.1

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

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

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

Tue 20 Nov