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\centerline{\largerbold Syllabus and Problem List for Math 135; Spring 1999}

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{\bf Text} {\sl Calculus of a Single Variable: Early
Transcendental Functions}, 1995, D.~C.~Heath, by Roland Larson, Robert
Hostetler, and Bruce Edwards                            
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{\bf Lecture} & {\bf Reading} & {\bf Topics} & {\bf Problems}\cr
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1 & P.1 & The Cartesian Plane & 3,10,27,28,33,42,43\cr
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& P.2 & Graphs of Equations & 1,5,7,39,43,45,61,65\cr
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& P.3 & Lines in the Plane &
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2 & P.4 & Functions &
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& P.5 & Review of Trig.~Functions &  
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3 & P.6 & Inverse Functions &
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& P.7 & Exponential \& Log.~Functions &
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4 & 1.1 & A Preview of Calculus\vphantom{g} & \cr   
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& 1.2 & An Introduction to Limits &
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5 & 1.3 & Properties of Limits & 1,3,9,11,17,21,25,27,29,31,33\cr
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&1.4 & Techniques for Evaluating Limits & 3,11,13,15,26,29,33,37,39,40,41,47,55\cr
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6 & 1.5 & Continuity \& One-Sided Limits & 
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& 1.6 & Infinite Limits &
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7 & 2.1 & The Derivative \& Tangent Lines &
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8 & 2.2 & Differentiation; Rates of Change &
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9 & 2.3 & Products \& Quotients; Higher Derivs. &
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10 & 2.4 & The Chain Rule &
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11 & \multispan 3 {\quad\bf First exam at the regular class meeting
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12 & 2.5 & Implicit Differentiation &
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& 2.6 & Related Rates (Start) &
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13 & 2.6 & Related Rates & (continued from above)\cr
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14 & 3.1 & Extrema on an Interval\vphantom{g} &
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& 3.2 & Rolle's Theorem; Mean Value Theorem &
1,3,9,11,23,27,35,43\cr    
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15 & 3.3 & Monotonicity \& First Deriv.~Test &
3,5,11,15,19,25,29,35,43,45,49\cr
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16 & 3.4 & Concavity \& Second Deriv.~Test &
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17 & 3.5 & Limits at Infinity &
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& 3.6 & Summary of Curve Sketching (Start)
& 9,11,17,19,24,26,29,33,37,43,61,67\cr
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18 & 3.6 & Summary of Curve Sketching & (continued from above)\cr
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19 & 3.7 & Optimization Problems (Start) &
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20 & 3.7 & Optimization Problems & (continued from above)\cr 
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21 & 3.9 & Differentials &
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22 & \multispan 3 {\quad \bf Second exam at the regular class meeting
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23 & 4.1 & Antiderivatives; Indefinite Integrals &
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24 & 4.2 & Area &
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25 & 4.3 & Riemann Sums \& Definite Integrals &
1,3,7,13,15,19,21,23,33,39,41\cr            
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26 & 4.4 & The Fundamental Theorem of Calculus &
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27 & 4.5 & Integration by Substitution &
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28 & 5.1 & Substitution with Logarithm &
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\multispan 4 {\bf \hskip -.185in Final Exam,\vphantom{$A^b$}
Wednesday, May 5, 4 to 7 PM, separate location for each class to be 
announced.\hfill}\cr
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Graphing calculators may be used on exams but calculators and
computers with QWERTY keyboards or symbolic differentiation and
integration programs are {\it not}\/ allowed. Students may bring one
sheet of paper containing notes (using both sides!) up to 8.5 by 11
inches in size to any exam.  Review problems and other general
information regarding this course can be found through the web page
(look for spring 1999!)

\centerline{\tt http://www.math.rutgers.edu/math135.html} 

\noindent which you may wish to bookmark. Certain Math 135 web pages
from past semesters which students and instructors may find useful are
available at MSLC locations on the $3^{\rm rd}$ floor of the ARC
building (Busch campus) and the $3^{\rm rd}$ floor of the Chemistry
building (Douglass campus).

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