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{\bf Mathematics 108, Calculus II for Business, Spring 1999 

Tentative Weekly Syllabus} 


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{\bf Texts:} Goldstein-Lay-Schneider:Calculus, 
Prentice Hall, 7th Edition. And 
\lq\lq Math 108 Lecture Notes, Spring 1999\rq\rq\, 
by Himonas and Howard, to which the numbers below refer. 

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{\bf Week 1} 
\begin{description} 
\item[1.1] The Indefinite Integral 
\item[1.2] The Initial Value Problem 
\item[1.3] Integration by Substitution 
\end{description} 
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{\bf Week 2} 
\begin{description} 
\item[1.3] Integration by by Parts and Partial Fractions 
\item[$\bullet$] Do Computer Assigment 1 (antidifferentiation) in class 
on Mon or 
Wed 
\item[1.4] The Definite Integral of Nonnegative Functions 
\item[1.5] Definite Integral of General Continuous 
Functions and Area 
\item[$\bullet$] Do Comuter Assignment 2 (Riemann Sums) in class on 
Friday (or 
Mon) 
\end{description} 
{\bf Week 3} 
\begin{description} 
\item[1.6] The Fundamental Theorem of Calculus 
\item[1.7] Integration by Substitution and by Parts 
in Definite Integrals 
\item[1.8] Area between two Curves 
\end{description} 
{\bf Week 4} 
\begin{description} 
\item[$\bullet$] Review 
\item[$\bullet$] Exam 1, February 2, Tuesday, 8:00-9:15 AM 
\item[2.1] Average Value of Continuous Quantities 
\item[2.2] From Marginal Function to Total Function 
\end{description} 

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{\bf Week 5} 
\begin{description} 
\item[2.3] Consumer and Producer Surplus 
\item[$\bullet$] Do Computer Assigment 3 (CS and PS) on Mon or Wed 
\item[2.4] Future and Present Value of a Continuous Income Stream 
\end{description} 
{\bf Week 6} 
\begin{description} 
\item[3.1] Improper Integrals 
\item[3.2] Numerical Methods - mention Extra Notebook 1 
\item[4.1] Differential Equations and Applications: 
Introduction 
\end{description} 
{\bf Week 7} 
\begin{description} 
\item[4.2] Separable Differential Equations 
\item[4.3] The Logistic Growth Model 
\item[4.4] The Solow Growth Model - use Extra Notebook 2 
\end{description} 
{\bf Week 8} 
\begin{description} 
\item[$\bullet$] Review 
\item[$\bullet$] Exam 2, March 2, Tuesday, 8:00-9:15 AM 
\item[5.1] Introduction, and Gaussian Elimination 
\end{description} 
{\bf Week 9: Sping Break} 

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{\bf Week 10} 
\begin{description} 
\item[5.2] Thee-Dimensional Spase 
\item[5.3] Planes and Linear Functions 
\item[6.1] Functions of Two Variables and Their Graphs 
\end{description} 
{\bf Week 11} 
\begin{description} 
\item[6.1] Functions of Two Variables and Their Graphs (cont.) 
\item[$\bullet$] Use Computer Assignment 4 with Monday's lecture 
\item[6.2] Partial Derivatives 
\item[6.3] Maxima and Minima for Functions of Two Variables 
\end{description} 
{\bf Week 12} 
\begin{description} 
\item[6.4] The Method of Least Squares or Lines of Regression 
\item[$\bullet$] Do Computer Assignment 5 with Least Squares 
\item[6.5] Constrained Optimization and Lagrange Multipliers 
\item[$\bullet$] Friday (Easter Break) 
\end{description} 
{\bf Week 13} 
\begin{description} 
\item[$\bullet$] Monday (Easter Break) 
\item[6.5] Constrained Optimization and Lagrange Multipliers (cont.) 
\item[7.1] Experiments and Sample Spaces 
\end{description} 
{\bf Week 14} 
\begin{description} 
\item[$\bullet$] Review 
\item[$\bullet$] Exam 3, April 13, Tuesday, 8:00-9:15 AM 
\item[7.2] Assignment of Probabilities 
\item[7.3] Discrete Random variables, 
Expected Values and Variances 
\end{description} 
{\bf Week 15} 
\begin{description} 
\item[7.4] Continuous Random Variables 
\item[7.5] Expected Value, Variance, and Standard Deviation 
\item[7.6] Commonly Used Continuous Probability Densities 
\end{description} 
{\bf Week 16} 
\begin{description} 
\item[$\bullet$] Finish 7.6, and start Review 
\item[$\bullet$] Review 
\end{description} 
{\bf Final Exam:} May 6, 1:45-3:45 PM 
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