Math 1051 Precalculus I Schedule
Wk  Day  Date  HW #  Sec  Section Topic and Subtopics  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, 2137, 38 (ans: 4 – π), 4153  19  
3  Fri 7 Sep  HW4  A.3  Before class, read text pages A22A29 (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, 3143, 49, 51, 53, 5763, 67, 7197, 111, 113, 115 
35  
2  4  Mon 10 Sep  HW6  A.5  Before class, read text pages A35A41 (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 533  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 A43A51 (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 2551, 5967, 75, 8599, 101  29  
7  Fri 14 Sep  HW10  A.10  Before class, read text pages A81A81 (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 721, 2735, 4151, 5577, 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 16  
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 (xy) coordinates  
Distance formula  
Midpoint formula  
HW13  After class, on page 7 do odd # problems
1119, 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 917  
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 xaxis, yaxis, and origin  
Graph y = x^3, x = y^2, and y = 1/x  
HW15  After class, on page 17 do odd # problems
1923, 29, 31, 3745, 5163, 67, 69, 75, 77, 81 
22  
11  Fri 21 Sep  HW16  1.3  Before class, read text pages 1931  
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  
Pointslope form of a line  
Find equation of a line given two points  
Slopeintercept form of a line  
Identify slope and yintercept 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, 2329, 3771, 7785, 91, 93, 103, 105, 115, 117 
35  
4  12  Mon 24 Sep  HW18  1.4  Before class, read text pages 3539  
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, 2141, 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 4859  
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 1521, 2739, 4765, 71, 73, 81, 8791, 95  28  
15  Fri 28 Sep  HW22  2.2  Before class, read text pages 6266  
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 1125, 29a, 29b, 29d, 35, 41  13  
5  16  Mon 1 Oct  HW24  2.3  Before class, read text pages 7178  
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 2143, 53, 5763  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 8288  
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 & Piecewisedefined Functions, which includes:  
Square root , cube root, absolute value, square, cube, reciprocal, greatest integer  
Piecewisedefined functions  
HW27  After class, on page 89 do odd # problems 947, 51  21  
19  Fri 5 Oct  HW28  2.5  Before class, read text pages 92100  
Lecture on Graphing Techniques & Transformations, which includes:  
Vertical shifts  
Horizontal shifts  
Compressions  
Stretches  
Reflections about xaxis and yaxis  
HW29  After class, on page 101 do odd # problems 735, 41, 53, 57  18  
6  20  Mon 8 Oct  HW30  2.6  Before class, read text pages 104107  
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): 36, 917, 19, 21, 23, 25, 2737, 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 109111, memorize graphs, formulas, and Things to Know  
HW35  After class, on page 111 do ALL these
problems (not just odds): 1, 3, 913, 17, 25, 27, 29, 30, 34, 35, 43, 45, 5564, 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 welldeserved break!  
7  24  Mon 15 Oct  HW38  3.1  Before class, read text pages 118123  
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, 2937, 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 133141  
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
1123, 27, 31, 35, 37, 41, 5363, 67, 69, 81, 83 
22  
27  Fri 19 Oct  HW42  3.4  Before class, read text pages 145149 (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, 1319  9  
8  28  Mon 22 Oct  HW44  3.5  Before class, read text pages 154156  
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 164179  
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 2335, 4551, 67, 69, 77, 83  15  
9  32  Mon 29 Oct  HW48  4.2  Before class, read text pages 184192  
Lecture on Properties of Rational Functions, which includes:  
Domain  
Vertical asymptotes  
Horizontal or oblique asymptotes  
HW49  After class, on page 192 do odd # problems 1117, 23, 25, 29, 33, 3749  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 195206  
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 715, 25, 33, 41, 53a, 55a  10  
10  36  Mon 5 Nov  HW52  4.4  Before class, read text pages 209213  
Lecture on Polynomial and Rational Inequalities, which includes:  
Solve polynomial inequalities  
Solve rational inequalities  
HW53  After class, on page 213 do odd # problems 313, 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, 915, 19, 25, 29, 3134, 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): 59, 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 welldeserved break!  
11  40  Mon 12 Nov  HW60  5.1  Before class, read text pages 242246  
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, 1929, 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 249259  
At start of class, hand in HW61 on Section 5.1  HW61  
Lecture on OnetoOne Functions & Inverse Functions, which includes:  
Determine whether a function is onetoone  
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
919, 31, 35, 49, 53, 5965, 69, 73, 77, 89 
18  
43  Fri 16 Nov  HW64  5.3  Before class, read text pages 263272  
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, 2939, 43, 5777, 83  22  
12  44  Mon 19 Nov  HW66  5.4  Before class, read text pages 277285  
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, 6369, 8793, 99109, 119, 131, 133a, 133b, 133c, 133d 
25  
45  Tue 20 Nov
