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    
          Add and subtract    
          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    
          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   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:    
          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   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  
          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
  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    
          Reflections about x-axis and y-axis    
      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    
          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   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:    
          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
  22
  27 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   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
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