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\begin{center}
{\LARGE MATH 1051\ \ PRECALCULUS I \ \ FALL 2001} \\[5mm]
Lecture 030 \ \ MWF 01:25-02:15pm \ \  Phys 166 \\[2mm]
Lecture 040 \ \ MWF 02:30-03:20pm \ \  NichH 211 \\[2mm]
Instructor: Alexander Alekseenko,  508 Vincent Hall,\\[2mm]
phone: (612) 624-4564 \\[2mm]
e-mail: alekseen@math.umn.edu \\[2mm]
web: www.math.umn.edu/\~{}alekseen
\end{center}

\textbf{Textbooks.}

1. M. Sullivan, K. Murphy, and M. Sullivan, \textit{Algebra Review},
Prentice Hall, 1996 (referred as SMS).

2. M. Sullivan, \textit{Precalculus}, 6th Edition, Prentice Hall, 2002
(referred as S).

\textbf{Course content.}
The course will be a review of high school algebra. We will start from
recalling properties of polynomials and rational expressions. Then we will
review exponents and radicals and after that we will have the first midterm.
Then the next topic will be Cartesian coordinates, graphs, and equations of 
lines and circles. The notion of function, it's basic properties, 
and some mathematical modeling will be considered before the second 
midterm. Then we proceed with polynomial and rational functions. We will
consider exponential and logarithmic functions before the third midterm. 
The rest of the semester will be devoted to logarithmic and exponential
equations and some of their applications.

\textbf{Homework and quiz arrangements.}
Homework problems are listed for each section in the Lecture Schedule
attached to the syllabus. Your TA will collect, and grade some subsets
of the problems on the list, and will be responsible for all arrangements to
do with homework and quizzes which take place in recitation.

\textbf{Absence from exams.} Missing a midterm is permitted only for the most
compelling reason. Except in extraordinary situations, permissions should be
obtained in advance from the professor to miss an exam; otherwise you will be
awarded a 0. If you are excused from taking a midterm, you course grade will be
determined by giving extra weight to the final exam. Except in extremely
exceptional situations, a student who misses the final exam fails the course.

\textbf{Incompletes.} These are given only in exceptional circumstances.
the student must have satisfactorily completed all but a small portion of the
work in the course, have a compelling reason for the incomplete, and must have
a prior arrangements with the professor for how the incomplete will be removed,
well before the end of the term.

\textbf{Grading policy.}

Your course grade is based on:

1) Your performance on recitation sessions:
You will have 5 quizzes and one cumulative grade for the completed
homeworks. The maximum grade for each quizz and for the accumulating
grade is 100. Your Recitation Score then is computed as the average
of these 6 grades.

2) Your performance on lecture sessions:
Three midterms grades each of maximum 100 and the Recitation Score will be
averaged to produce your Lecture Score.

3) Your performance on the final exam (assuming that the maximum for 
the final is 100): Your grade for the final exam and your Lecture Score will
be summed with weights 0.4 and 0.6 respectively to produce your 
Final Score.

In other words, the final exam gives 40\%, each midterm gives 15\%, and
the Recitation Score gives 15\% of the Final Score.
\\
Note: An S is equivalent to C or better.
\pagebreak
\begin{center}
{\Large Lecture Schedule for Math 1051 Lectures 030 and 040}\\
(subject to small changes without prior notice).\\[1mm]
\end{center}
\begin{tabular}{c|c|c|c}
\textbf{No. (Text)}& \textbf{Sections to cover} &\textbf{HW}&
\textbf{LE}\\[2mm]
\hline
1. (SMS) &
\parbox[t]{8cm}{1.5. Real numbers. 1.6. Inequalities. Absolute value. Distance
 between two points on a real number line. 1.7. Constants and variables.
 Mathematical models.} &
\parbox[t]{3.5cm}{1.5: \textit{69, 79}; 1.6: \textit{9, 13, 19, 25, 27, 29, 35, 40,
  45, 49}; 1.7: \textit{1, 7, 9, 17, 29, 36}} &
\parbox[t]{1.5cm}{1.5: \textit{70}; 1.6: \textit{7, 18, 50};
 1.7: \textit{2, 36}} \\[2mm]
\hline
2. (SMS) &
\parbox[t]{8cm}{2.2. Polynomials, addition and subtraction of polynomials.
 2.3. Multiplication of polynomials. Horizontal and vertical multiplication.
 FOIL method. 2.5 Factoring of second degree polynomials.} &
\parbox[t]{3.5cm}{2.2: \textit{43,52}; 2.3: \textit{9, 17, 31, 41,
 59, 73, 79, 87}; 2.5: \textit{13, 25, 47, 53, 67, 69, 79}} &
\parbox[t]{1.5cm}{2.2: \textit{44}; 2.3: \textit{6, 25, 95, 97}; 2.5: \textit{68,
80}}\\[2mm]
\hline
3. (SMS) &
\parbox[t]{8cm}{2.6. Division of polynomial by monomial.
Division of polynomial by polynomial.} &
\parbox[t]{3.5cm}{2.6: \textit{7, 9, 15, 19, 23, 29,
31, 35, 39, 43, 45, 49}} &
\parbox[t]{1.5cm}{2.2: \textit{34,50}} \\[2mm]
\hline
4. (SMS) &
\parbox[t]{8cm}{3.2. Reducing rational expressions top lowest terms.
Evaluating rational expressions. 3.3: Multiplication and division of rational
expressions.} &
\parbox[t]{3.5cm}{3.2: \textit{11, 27, 31, 39, 43, 57, 63};
3.3: \textit{9, 19, 23, 33, 39, 47, 59, 67}} &
\parbox[t]{1.5cm}{3.2: \textit{32, 40, 58}; 3.3: \textit{25, 56, 69}} \\[2mm]
\hline
5. (SMS) &
\parbox[t]{8cm}{3.4. Addition and subtraction of rational expressions.
 Least common multiple.} &
\parbox[t]{3.5cm}{3.4: \textit{7, 11, 17, 25, 31, 39, 47, 49, 65, 69, 71, 73}} &
\parbox[t]{1.5cm}{3.4: \textit{22, 41, 51, 72}} \\[2mm]
\hline
6. (SMS) &
\parbox[t]{8cm}{3.5. Mixed quotients. Method 1. Method 2.} &
\parbox[t]{3.5cm}{3.5: \textit{3, 7, 11, 15, 17, 21, 23, 25, 29, 31, 33}} &
\parbox[t]{1.5cm}{3.5: \textit{16, 22, 27}} \\[2mm]
\hline
7. (SMS) &
\parbox[t]{8cm}{4.1. Negative exponents. Laws of exponents.
Scientific notation. 4.2. Square roots. Radical sign. Principle square root and
perfect square roots. Products and quotients of square roots. Rationalizing.} &
\parbox[t]{3.5cm}{4.1: \textit{7, 15, 25, 37, 43, 53, 59, 63, 73};
 4.2: \textit{9, 19, 29, 35, 47, 53, 61}} &
\parbox[t]{1.5cm}{4.1: \textit{44, 52}; 4.2: \textit{27, 36}} \\[2mm]
\hline
8. (SMS) &
\parbox[t]{8cm}{4.3. Radicals. Principal n-th root of a number $a$.
Properties of radicals.} &
\parbox[t]{3.5cm}{4.3: \textit{3, 9, 11, 23, 27, 29, 35, 41, 45, 49, 55, 59, 61}} &
\parbox[t]{1.5cm}{4.3: \textit{2, 29, 47}} \\[2mm]
\hline
9. (SMS) &
\parbox[t]{8cm}{4.4. Rational exponents.
 4.6. Geometry topics. Pythagorean theorem. Area formulas.} &
\parbox[t]{3.5cm}{4.4: \textit{9, 11, 15, 19, 23, 29, 31};
 4.6: \textit{11, 17, 25, 33, 35, 37}} &
\parbox[t]{1.5cm}{4.4: \textit{6, 32}; 4.2: \textit{8, 38}} \\[2mm]
\hline
10. (S) &
\parbox[t]{8cm}{1.1. Rectangular coordinates (Cartesian coordinate system).
Quadrants. Distance between points. Midpoint formula.} &
\parbox[t]{3.5cm}{1.1: \textit{2, 4, 5, 7, 11, 17, 19, 23, 25, 29, 33,
 39, 45, 47, 51, 55}} &
\parbox[t]{1.5cm}{1.1: \textit{8, 20, 26, 35}} \\[2mm]
\hline
11. & MIDTERM & & \\
\hline
12.--13. (S) &
\parbox[t]{8cm}{1.2. Graph of an equation in two variables. Intercepts.
Finding intercepts from an equation. Symmetry. Circle.
graphing a circle whose equation is in general form.} &
\parbox[t]{3.5cm}{1.2: \textit{1, 7, 11, 13, 20, 23, 27, 29, 37, 42, 45,
 49, 52, 54, 55, 59, 75, 82}} &
\parbox[t]{1.5cm}{1.2: \textit{4, 14, 25, 43, 47, 63}} 
\end{tabular}
\newpage
\begin{tabular}{c|c|c|c}
\textbf{No. (Text)}& \textbf{Sections to cover} &\textbf{HW}&\textbf{LE}\\[2mm]
\hline
13.--14. (S) &
\parbox[t]{8cm}{1.3. Line. Slope of a line. Graphing a line given a point
an a slope. Equations of lines. Point-slope form of an equation of a line.
Finding an equation of a line given two points. Slope-intercept form of an
equation of a line. General form of equation of a line. Parallel and perpendicular
lines. Finding parallel and perpendicular lines to a given.} &
\parbox[t]{3.5cm}{1.3: \textit{3, 7, 10, 14, 16, 19,
 23, 27, 38, 43, 48, 50, 51, 53, 71, 74, 75, 81, 85, 87}} &
\parbox[t]{1.5cm}{1.3: \textit{11, 25, 40, 52, 78}} \\[2mm]
\hline
15.--16. (S) &
\parbox[t]{8cm}{2.1. Relations and functions. Function notation.
Finding a value of a function. Domain of a function. Graph of function.
Obtaining information from from the graph of function. Obtaining
information about the graph of function. Applications.} &
\parbox[t]{3.5cm}{2.1: \textit{1, 3, 7, 10, 16, 19,
 25, 29, 31, 37, 39, 46, 47, 56, 73, 75, 85}} &
\parbox[t]{1.5cm}{2.1: \textit{17, 32, 48, 46}} \\[2mm]
\hline
17. (S) &
\parbox[t]{8cm}{2.2. Properties of functions. Average rate of change.
Increasing, decreasing, or constant function. Local maximum and minimum.
Even and odd functions.} &
\parbox[t]{3.5cm}{2.2: \textit{1, 3, 5, 7, 9, 12, 17, 21, 23, 29,
 31, 35, 37, 41, 49, 53}} &
\parbox[t]{1.5cm}{2.2: \textit{18, 22, 36, 47, 55}} \\[2mm]
\hline
18.--19. (S) &
\parbox[t]{8cm}{2.3. Library of functions. Piece-wise defined functions.} &
\parbox[t]{3.5cm}{2.3: \textit{1, 3, 5, 6, 7, 11, 12, 14, 15, 18, 19,
22, 23, 31, 33, 39, 41, 43}} &
\parbox[t]{1.5cm}{2.3: \textit{16, 20, 28, 34}} \\[2mm]
\hline
20. (S) &
\parbox[t]{8cm}{2.4. Graphing techniques. Vertical shifts, horizontal shifts.
Compressions and stretches. Reflections about X-axis and Y-axis.} &
\parbox[t]{3.5cm}{2.4: \textit{1, 3, 5, 6, 13, 17, 20, 21, 25, 29, 31, 35, 48,
 55, 57, 69, 71}} &
\parbox[t]{1.5cm}{2.4: \textit{23, 26, 36, 70}} \\[2mm]
\hline
21. (S) &
\parbox[t]{8cm}{2.5. Sum, difference, product, and quotient of two functions.
Composite of two functions. Calculus applications.} &
\parbox[t]{3.5cm}{2.5: \textit{1, 3, 7, 9, 11, 13, 15, 21, 23, 27, 38, 41, 49,
51, 55, 57}} &
\parbox[t]{1.5cm}{2.5: \textit{10, 12, 20, 42, 56}} \\[2mm]
\hline
22. (S) &
\parbox[t]{8cm}{2.6. Mathematical models. Constructing and analyzing
functions.} &
\parbox[t]{3.5cm}{2.6: \textit{1, 5, 7, 11, 15, 19, 26, 35, 37}} &
\parbox[t]{1.5cm}{2.6: \textit{8, 13, 31}} \\
\hline
23. & MIDTERM & & \\
\hline
24. (S) &
\parbox[t]{8cm}{3.1. Quadratic functions. graphing quadratic function. Quadratic
models. Fitting a quadratic function to data.} &
\parbox[t]{3.5cm}{3.1: \textit{1, 3, 5, 7, 13, 15, 17, 23, 27, 29, 34,
41, 43, 54, 63, 65}} &
\parbox[t]{1.5cm}{3.1: \textit{18, 30, 47, 52}} \\[2mm]
\hline
25.--26. (S) &
\parbox[t]{8cm}{3.2. Polynomial functions. Power function. graphing polynomial
function using transformations. Identifying zeros and their multiplicities.
End. behavior.} &
\parbox[t]{3.5cm}{3.2: \textit{1, 5, 9, 11, 14, 23, 26, 27, 29, 35, 36, 45, 47, 61, 66,
71, 72}} &
\parbox[t]{1.5cm}{3.2: \textit{21, 30, 37, 51}} \\[2mm]
\hline
27.--28. (S) &
\parbox[t]{8cm}{3.3. Rational functions. Finding the domain of a rational function.
Using transformations to graph a rational function. Finding asymptotes.} &
\parbox[t]{3.5cm}{3.3: \textit{1, 3, 6, 7, 11, 13, 17, 23, 26, 27,
31, 33, 35, 44}} &
\parbox[t]{1.5cm}{3.3: \textit{12, 28, 39, 42}} \\[2mm]
\hline
29.--30. (S) &
\parbox[t]{8cm}{3.4. Rational functions II. Graphing rational function. Applications} &
\parbox[t]{3.5cm}{3.4: \textit{1, 3, 9, 13, 16, 28, 34, 36, 39, 41, 43}} &
\parbox[t]{1.5cm}{3.4: \textit{5, 26, 35, 40, 47}} \\
\end{tabular}
\newpage
\begin{tabular}{c|c|c|c}
\textbf{No. (Text)}& \textbf{Sections to cover} &\textbf{HW}&\textbf{LE}\\[2mm]
\hline
31. (S) &
\parbox[t]{8cm}{3.5. Polynomial rational inequalities.} &
\parbox[t]{3.5cm}{3.5: \textit{1, 3, 5, 10, 13, 25, 31, 33, 41, 44, 45, 54}} &
\parbox[t]{1.5cm}{3.5: \textit{11, 23, 29, 43}} \\[2mm]
\hline
32. (S) &
\parbox[t]{8cm}{4.1.Inverse of a function. One-to-one functions. 
 Geometric interpretation. Finding the inverse.} &
\parbox[t]{3.5cm}{4.1: \textit{2, 3, 5, 7, 11, 13, 15, 17, 23, 
 28, 29, 37, 46, 51, 54, 55, 59}} &
\parbox[t]{1.5cm}{4.1: \textit{4, 12, 18, 27, 50}} \\[2mm]
\hline
33.--34. (S) &
\parbox[t]{8cm}{4.2. Exponential function. Graphs of exponential 
 functions. The base $e$. Exponential equations.} &
\parbox[t]{3.5cm}{4.2: \textit{1, 3, 11, 13, 16, 20, 25, 30, 34, 35, 40, 44, 48,
 50, 54, 61, 74, 75}} &
\parbox[t]{1.5cm}{4.2: \textit{23, 33, 39, 47, 52, 76}} \\[2mm]
\hline
34.--35. (S) &
\parbox[t]{8cm}{4.3. Logarithmic function. Relating logarithms to exponents.
 Domain of logarithmic function. Graphs of logarithmic function. Logarithmic
 equations.} &
\parbox[t]{3.5cm}{4.3: \textit{1, 5, 10, 12, 13, 19, 22, 29, 31, 34, 43, 45, 51,
 57, 77, 81, 84, 89, 100}} &
\parbox[t]{1.5cm}{4.3: \textit{6, 21, 52, 83, 90}} \\[2mm]
\hline
36. & MIDTERM & & \\
\hline
37.--38. (S) &
\parbox[t]{8cm}{4.4. Properties of logarithms. Using a calculartor to evaluate 
 logarithms with arbitrary bases. Exponential and logarithmic models.} &
\parbox[t]{3.5cm}{4.4: \textit{2, 3, 5, 7, 11, 14, 16, 26, 35, 40, 45, 47, 51, 56,
59, 62, 69, 72}} &
\parbox[t]{1.5cm}{4.4: \textit{8, 12, 15, 37, 50, 54, 71}} \\[2mm]
\hline
39.--40. (S) &
\parbox[t]{8cm}{4.5. Logarithmic and exponential equations.} &
\parbox[t]{3.5cm}{4.5: \textit{1, 5, 8, 10, 13, 16, 17, 20, 21, 23, 29, 31, 33,
37, 39, 41, 43}} &
\parbox[t]{1.5cm}{4.5: \textit{2, 7, 14, 19, 24, 28, 32, 42}} \\[2mm]
\hline
41.--42. (S) &
\parbox[t]{8cm}{4.6. Simple interest formula. Future value of money. 
 Compound interest formula. Continuous compounding. Effective rate of interest.
 Present value of money. Doubling and tripling time for the investment.} &
\parbox[t]{3.5cm}{4.6: \textit{1, 2, 8, 9, 11, 12, 18, 21, 25, 28, 29, 32, 36, 37,
45, 48}} &
\parbox[t]{1.5cm}{4.6: \textit{4, 10, 15, 17, 23, 41}} \\[2mm]
\end{tabular}
\end{document}
