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\centerline{\largerbold Syllabus and Problem List for Math 135; Spring, 1998}

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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 &
1,5,17,25,31,39,53,59,61,63,79,80\cr
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& P.7 & Exponential \& Log.~Functions &
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4 & 1.1 & A Preview of Calculus & \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 &
1a,1d,9,13,15,17,23,39,45,47,51,53,57,60,77,81\cr
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9 & 2.3 & Products \& Quotients; Higher Derivs. &
7,15,23,27,31,33,35,43,53,57,59,69,79,82,87,90\cr
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10 & 2.4 & The Chain Rule &
1,4,7,17,21,25,29,41,45,51,55,59,65,71,85,93,101\cr
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11 & \multispan 3 {\qquad\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 &
1,5,7,9,11,17,19,23,29,33,35,37\cr      
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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 &
3,5,6,11,17,19,21,25,37,41,51,54,57,60\cr
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17 & 3.5 & Limits at Infinity &
1,3,5,7,9,13,19,25,27,31,35,37,39,57\cr
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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 {\qquad \bf Second exam at the regular class meeting
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23 & 4.1 & Antiderivatives; Indefinite Integrals &
1,7,11,13,17,21,25,27,31,33,41,45,47,49,51,53,55\cr
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24 & 4.2 & Area &
21,27,33,35,37\cr
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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 &
5,7,11,19,21,23,27,29,31,33,35,39,43,63,71,81\cr
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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 {\qquad \bf Final Exam, Wednesday, May 6, 4 to 7 PM,
location 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 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 1998!)

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

which you may wish to bookmark.
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