Due Date 
Reading for 3rd Edition  Problems  CD Viewing [# minutes]  Comments Optional Work 
HW #1 124/128* 
A.1
Review of Real Numbers A.3 Multiplying and Factoring 1.1 pp 36 
Moodle background
assessment quiz. A.1: 121 odd A.3: 113 odd; 3139 odd 
Introduction
[in class] How to Do Math [in class] 

HW #2 125/129*  1.1
Functions and
tables. A.5 pp A.2224 Solving equations  A.5 17 odd, 1319 odd  Functions [19]  
HW #3 131/21* 
1.2
Graphs Sensible Calculus 0.B.2 Functions 
Do the reading first! 1.1: 15, 7,9, 12, 15, 16, 22, 23, 25, 33 1.2: 1,2,4,5 [Draw a mappingtransformation figure for each function in this problem] [Read SC 0.B.2 to find out more about the mappingtransformation figure.] 
Functions again! [19]  
HW #4 2/14* 
1.3
Linear functions Summary: Functions and Linear Models 
1.2:
13, 17, 31
Draw a mapping figure
for each function. 1.3 : 19 odd, 11,12,29,41,33 
Graphing Lines [28]  Try The Moodle
Practice
Quiz on Functions Online Mapping Figure Activities (this may be slow downloading) 
HW #5 2/47* 
1.4
Linear Models 2.1 Quadratic functions 
1.3:
37 49 odd,
55, 57, 59
1.4: 19 odd 2.1: 19 odd, 25, 27, 33 
Average
Rates of
Change [11] Parabolas [22] 
1.4: 49 
HW #6 2/71112* 
1.4
Linear Models. A.5 ppA23A25 3.1 Average Rate of Change 
1.4:
12, 19,
21,22,25 3.1: 110, 1316, 21, 39, 40 
3.1.1 Rates of Change, Secants, and Tangents (Disc 1, 18:53)  Online
Mapping Figure Activities (Again... ;) The Two Questions of Calculus [10] 
Summary #1 28 
Summaries: Every two weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. [Recommended:The summaries may be submitted in a partnership (23 members).] Each individual partner will receive corrected photocopies.  
HW #6.5 2/1214* 
3.2 Pages 154158 The Derivative: A Numerical and Graphical Viewpoint 
3.2: 1, 2, 5, 9,12  3.1.1 Rates of Change, Secants, and Tangents (Disc 1, 18:53)  try Moodle Practice quiz on writing responses. 
HW #7 2/1518* 
3.2
derivative estimates 3.3 The Derivative: An Algebraic Viewpoint 
3.2: 13, 16, 17,
19, 20; 23, 24 3.3: Use "4step process" from class  1, 2, 5 [Ignore the problem instruction!] 
3.1.2 Finding Instantaneous Velocity (Disc 1, 19:57)  
HW #8 218/19* 
3.2 (graphical) 3.3 The Derivative: An Algebraic Viewpoint 
3.2:
33, 47, 49, 57, 58, 71, 83
3.3: 6,13 ,15,17, 23, 25 [Use "4step process"] 
3.1.3 The Derivative (Disc 1, 11:14)  Practice Quiz on Slopes of Tangent Lines using 4 steps. 
HW #9 219/21 
3.3 The
Derivative: An Algebraic Viewpoint
3.4 The Derivative: Simple Rules 
3.4:111 odd; 1417; 1921  3.3.1 The Derivative of the Reciprocal Function (Disc 1, 17:56) 3.3.2 The Derivative of the Square Root Function (Disc 1, 15:19) 4.1.1 A Shortcut for Finding Derivatives (Disc 1, 14:03) 4.1.2 A Quick Proof of the Power Rule (Disc 1, 9:48) 4.1.3 Uses of the Power Rule (Disc 1, 19:43) 

Summary #2 222  Summaries: Every two weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. [Recommended:The summaries may be submitted in a partnership (23 members).] Each individual partner will receive corrected photocopies.  
HW #9.5 222/25* 
3.2 Derivative function graphs, interpretation  3.2 :39, 41, 42, 5964, 97,98, 109, 110  3.2.1 The Slope of a Tangent Line (Disc 1, 11:16) 3.2.3 The Equation of a Tangent Line (Disc 1, 17:53) 
3.2: 73,74, 86 
HW#10 222/25* 
3.4(Again) The Derivative: Simple Rules 
3.4: 61, 65, 67,
71, 79; 29, 37, 41, 42, 53, 55, 63, 64 

HW #11 225/26* 
3.5
Marginal analysis Chapter 3 Summary as relevant. 4.1 Product Rule only! pp 241244 
3.5: 1,5,6,9,11,13 3.5: 19, 21,28 4.1: 13, 15, 16, 21, 22 
4.2.1 The Product Rule (Disc 1, 20:43)  3.2.2 Instantaneous Rate (Disc 1, 14:38) 3.2: 65 
HW #12 228 
4.1: Quotient Rule  4.1: 35, 37, 38, 43; 53, 59, 62  4.2.2 The Quotient Rule (Disc 1, 13:10)  
HW #13 229 
4.2 The Chain Rule  4.1: 63, 64, 71, 73 4.2 : 13 17, 55 
4.3.1 An Introduction to the Chain Rule (Disc 1, 17:51)  
HW #14 33/4* 
4.2 The
Chain Rule 4.4 Implicit Differentiation (Skip Examples 2 and 3!) 
4.2: 25, 26, 33, 35 4.4 :11, 12, 15, 35, 36, 47 
4.3.2 Using the Chain Rule (Disc 1, 12:53) 6.1.2 Finding the Derivative Implicitly (Disc 2, 12:14) 
6.1.1 An Introduction to Implicit Diffe
More on Instantaneous Rate [19] 4.4: 53 6.2.1 Using Implicit Differentiation (Disc 2, 22:24)rentiation (Disc 2, 14:43) 
HW#15 36/7* 
5.4 Related Rates Especially Ex. 13  4.2: 47, 51,
53, 61, 62, 65 5.4: 9, 11, 13 (watch Ed for #11) 
7.3.2 The Ladder Problem (Disc 2, 14:18)  
Midterm Exam #1 SelfScheduled: Tuesday 311 evening 5:309:00 pm; Wednesday 312 morning 8:3011:50 am. Covers Material from HW # 115( part of 17) and related sections. see Sample Exam on Moodle. 

HW #16 34/6* 
A.2: Exponents  A.2: 15,19, 23, 39, 41, 71  7.3.3 The Baseball Problem (Disc 2, 18:21)  3.1.4 Differentiability (Disc 1, 2:35) 7.3.5 Math Anxiety (Disc 2, 5:30) 
HW#17 34/6* 
5.4
Related
Rates 2.2: Exponential Functions 
5.4 17, 21, 25
2.2 : 3,4,9,11, 7, 13, 17 
5.2.1 Graphing Exponential Functions (Disc 1, 10:08)  
HW #18 325/27* 
2 .2 pp94104(middle) exp'(x) = exp(x) Notes. 
2.2: 45,
47, 51, 63, 73, 59, 61 4.3: 7,8,45,51,53,85 
5.2.2 Derivatives of Exponential Functions (Disc 1, 23:17)  
HW #19 325/27* 
2.3: pp. 110116
[Logarithmic functions] Log's Properties (on line). 
2.3: 14, 19  5.3.1 Evaluating Logarithmic Functions (Disc 2, 18:37)  Sensible Calculus I.F.2 
HW #19.5 328/41 
4.3: Examples 15; pp 265267. Derivatives for Log's & Exponential Functions 
4.3:1,2,15,17,19 2.3: 5, 7, 20, 21, 25,31, 45a, 48 a 4.3: 23, 27, 29, 33, 73 
5.3.2 The Derivative of the Natural Log Function (Disc 2, 13:24)  
HW #20 41/3* 
2.3 Example 3 4.4 log differentiation Ex. 3 
2.3:
9, 11, 15 4.4: 31 , 32 
Slide Rules! UNDERSTAND HOW + WHY a slide works, a full explanation 

HW #21 47/8* 
3.6:
limits (numerical/graphical) P209216 omit EX.3. 3.7: limits and continuity 3.8 limits and continuity (alg) pp225 228 
3.6:
19, 21(a,b), 23(ae), 25(ae), 26(ae) 3.7: 13,14, 15 
2.1.5 OneSided Limits (Disc 1, 5:18) 2.1.6 Continuity and Discontinuity (Disc 1, 3:39) 

HW #22 47/8* 
The
Intermediate Value Theorem 3.8 pp225 230 middle: limits and continuity (alg) Online: cont and diff. 5.1: Maxima and Minima 
3.7: 20,27,
28 3.8: 39, 41, 46, 53 
7.4.1 The Connection Between Slope and Optimization (Disc 2, 27:18) 8.2.1 Critical Points (Disc 2, 17:43) 
8.1.2 Three Big Theorems (Disc 2, [Begin3.5min]) continuity and differentiablity online materials( A and B) 
HW #23 410/11* 
5.1: Maxima
and Minima 5.2. Applications of Maxima and Minima 
5.1: 17 odd, 810, 12, 13, 15, 21, 23, 24, 25 5.1: 35, 39, 41, 44 5.2: 5, 11, 13 
7.4.2 The Fence Problem (Disc 2, 25:03) 8.1.1 An Introduction to Curve Sketching (Disc 2, 8:44) 

HW #24 4 14/15* 
5.2. Applications
of Maxima and Minima5.1: Maxima
and Minima 5.3 2nd deriv.pp317320 
5.2:15,
21
5.2:
25, 27, 29 5.3: 15,7,9,11,14 
7.4.3 The Box Problem (Disc 2, 20:38) 7.1.1 Acceleration and the Derivative (Disc 2, 5:44) 8.2.3 The First Derivative Test (Disc 2, 2:46) 8.2.2 Regions Where a Function Increases or Decreases (Disc 2, 20:17) 
7.4.4 The Can Problem (Disc 2, 20:47) 
HW #25 415/17* 
5.2 and 5.3 again! 
5.3 : 1720, 23; 25, 29,31 5.2: 33, 35, 41, 45 
8.3.1 Concavity and Inflection Points (Disc 2, 13:12) 8.3.2 Using the Second Derivative to Examine Concavity (Disc 2, 17:01) 
7.2.1 HigherOrder Derivatives and Linear Approximation (Disc 2, 20:57)[first 5 minutes only!] 
HW#26 418/21* 
3.6:
p212216 3.8: p229 5.3: p321324 
5.3: 35 37,41, 63, 67 3.6: 111 odd 
Graphs
of Poly's [10] The 2nd Deriv. test [4] Vertical asymptotes [9] Horizontal asymptotes [18] 
Functions with Asymptotes and criti' pts [17] 
HW #27 421/22* 
3.6,3.8 Again! OnLine: Linear Estimation 
3.8: 15,17,21,23,33,35,37
3.6: 25, 27,29 5.3: 39, 43, 45 
8.5.3 Graphing Functions with Asymptotes (Disc 2, 10:15)
8.5.4 Functions with Asymptotes and Holes (Disc 2, 3:2) 7.2.2 Using the Tangent Line Approximation Formula (Disc 2, 24:22) 
Online
Problems on Linear Estimation L16; A15; App13 
Midterm Exam #2 SelfScheduled Try to come 5 minutes before your starting time: Tuesday 422 evening 5:309:00 pm BSS 302 Wednesday 423 morning 8:3011:50 am come to BSS 356. Covers Material from HW # 1526 ( and related sections). see Sample Exam II on Moodle. 
Review for Exam #2: (will not
be
collected): p 136[138]: 2,3,4 p288[294]: 1(a,e,g,i),2(c,d),3a,8a p350[361]: 1(a,d,f),2,4a,5(ac) 

HW #28 424/25* 
6.1 The Indefinite Integral p 353358 Online tutorial for 6.1. Differential equations and integration SC IV.A 
6.1: 113odd  9.1.2 Antiderivatives of Powers of x (Disc 2, 17:56) 9.1.1 Antidifferentiation (Disc 2, 13:59) 
SC.III.AThe Differential 
HW #29 424/28* 
6.1 Applications p 359361  6.1: 15,17, 27, 35, 4144,51  
HW #30 425/29* 
IV.E
6.3. The Definite Integral As a Sum. p 373376, 380 6.2 Substitution pp364367 
6.3: 15 odd, 15, 19, 21
6.2: 16; 21,23 
9.4.1 Approximating Areas of Plane Regions (Disc 3, 9:39) 10.1.1 Antiderivatives and Motion (Disc 3, 19:51) 

HW #31 429/52* 
8.1 Functions
of Several Variables. p467471 6.4 The Definite Integral: Area p384386 6.5 pp392395 The Fundamental Theorem 
6.4: 15 odd, 21 6.5 : 1720; 67,68 8.1: 19 odd, 19, 20, 21, 29, 39, 43 
9.2.1 Undoing the Chain Rule (Disc 3, 8:30) 9.4.2 Areas, Riemann Sums, and Definite Integrals (Disc 3, 13:40) 9.4.3 The Fundamental Theorem of Calculus, Part II (Disc 3, 16:28) 9.4.4 Illustrating the Fundamental Theorem of Calculus (Disc 3, 13:55) 9.4.5 Evaluating Definite Integrals (Disc 3, 12:53) 
SC
IV.E 9.2.2 Integrating Polynomials by Substitution (Disc 3, 15:24) 
HW #32 429/52* 
6.5 pp 395  396  6.5: 2730, 61,63  9.3.2 Integrating Composite Exponential and Rational Functions by Substitution (Disc 3, 13:30)  
HW # 33 5/11 
6.4 pp 384 388 6.2 pp 368371 Substitution 6.5 example 5 8.3 pp 490  492 
6.2: 2733,59, 60 6.5: 45,47,59,63,64 8.3: 1 7 odd, 13, 41, 45 
10.2.1 The Area between Two Curves (Disc 3, 9:04)  
HW ##34 5/11 
7.2 pp 416420 (area between curves) 7.2 p420426 (Surplus and social gain) 7.3 pp 430431 
7.2:1,3,5,11, 15 7.2: 25, 37, 49 7.3: 1 5odd, 29, 35a 
10.2.2 Limits of Integration and Area (Disc 3, 15:16) 18.1.1 Finding the Average Value of a Function (Disc 4, 8:18) 
5.5 Elasticity and other economic applications of the derivative 
ASSIGNMENT INVENTORY From Fall, 2007 

Reading INVENTORY  Problems INVENTORY  CD Viewing INVENTORY  Optional INVENTORY  
7.5
p 442445 + 8.2 8.4 p498501 Critical points 
7.5: 17  17.1.1 The First Type of Improper Integral (Disc 4, 9:42) The second type of ... [8] 17.1.3 Infinite Limits of Integration, Convergence, and Divergence (Disc 4, 11:50) 

7.4 Future and present value. 

The 20 minute review.  Common Mistakes [16]  

5.5: 1, 3, 14  
3.7, 5.3 Review p321323  3.7:
15,17, 2830 5.3: 47, 51, 63, 71 6.1: 5355, 57 
Cusp points &... [14]  



Graphing, Technology problems from lab  

SC IV.E  
Solution to 7.2:42 (See the student solutions manual).  
8.2 8.4 p498501 Critical points 8.3 Second order partials 
8.2:
19 odd; 1118; 1925 odd;41, 49 8.4: 19 odd, 33, 37 8.3: 1925 odd; 29,33,38,51, 53 
The 20 minute review.  
7.5 8.4 pp 504505 
7.5: 11,
13, 17 8.4 :13, 15,17,19 

7.6  7.6: 1,3,13 





The 20 minute review. 

Future
and present value. Probability and DARTS 
7.4:1, 9, 21, 27  
3.6: 31  

3.8: 1125 odd; 3942  
6.5 396398 
6.4:22 

6.5:
9,11,4145 odd, 42, 65,81 

7.3:25  
7.6:25,
27 



Domain restricted functions ...[11]  Three Big Theorems [11] 5.2: 56 

Gravity and
vertical motion [19] Solving vertical motion [12] 
Distance and Velocity [22]  
8.2: 45 

Monday  Tuesday  Thursday 
Friday 
Week 1  121 No Class MLK Day 
Course Introduction Numbers, Variables 
Algebra Review
Begin Functions. 
More functions review The coordinate plane. Functions, graphs. 
Week 2  128 Functions, graphs and models. Points and Lines 
Lines and models. 
More Functions 
Models: Linear Functions. Slopes and rates 
Week 3 Summary of Weeks 1&2 Due Friday 5 pm. 
24 More linear models. Quadratic functions. 
Estimation. More Quadratics. 
Extremes and the tangent problem. 
Average rates, and slopes of secant and tangent lines. 
Week 4 (Graphing, Technology)  211 Instantaneous Rates. The Derivative 
More Motivation: Marginal cost, rates and slopes.  The Derivative and algebra.  More on finding the derivative.Finding the derivative as function. 
Week 5 Summary of Weeks 3&4. Due Friday 3 pm.  218 Begin: The Derivative Calculus Definition of the derivative. Graphical Derivative as function graphs 
Justification of the power rule for n>0.  Der. of 1/x Justify the sum and constant multiple rules. Constant Multiple Rule Interpretations 
Notation. Discuss Sum rule interpretations. Marginal Applications. Applications: Marginal vs. Average Cost Start Product rule. 
Week 6  225 Justify product rule.  Start Quotient Rule  More on the Quotient rule. The Chain Rule 
Implicit functions. 
Week 7 Summary of Week 5&6 Due Friday 3 pm. 
33 More Chain Rule Implicit Differentiation 
More Implicit Functions and related rates.  More Implicit Functions and related rates. 
More Implicit Functions and related rates. Examples: f does not have a derivative at a. 
Week 8 Midterm Exam #1 SelfScheduled 311 and 312 
310 Begin Exponential functions Interest and value. 
More exponentials. e and compunding interest continuously. Last Review for Exam #1 
More exponentials. e and compunding interest continuously.  Derivatives of exponentials, esp'ly exp'(x)=exp(x) 
Week 9  Spring Break  No classes  
Week 10 Summary of Weeks 7 and 8 Due 4pm Friday 
324 Finish derivatives of exp's, etc. Logarithmic functions. Start Logarithmic functions. 
Derivatives of Logarithms and Exponentials More on models with exp and log equations. 
More on log properties. Logarithmic differentiation Logarithmic scales. Slide Rules!? 
More on log properties. Logarithmic differentiation 
Week 11  331 No Class CC Day 
Finish logs/exps.

limits and continuity, Continuity IVT More on continuity and limits. 
More on Continuity. IVT. 
Week 12 Summary of Weeks 9 & 10 Due Friday 
47 IVT and bisection. Begin Optimization and First Derivative Analysis 
First
Derivative Analysis More Optimization and Graphing. Optimization and IVT 
Optimization: revenue example More Optimization and Graphing. The fence problem Optimization: revenue example 
Begin Second Derivatives acceleration Concavity and Curves 
Week 13 
414 More on Concavity  Vertical Asymptotes 
Horizontal Asymptotes.  418 Costs, marginal costs, and estimation. Linear Estimation and "Differentials." 
week 14 Self Scheduled Exam #2 Tues. and Wed. 
421Relative error. Begin Differential equations and integration IV.A 
More DE's. 
Acceleration and integration Euler's Method. 
Introduction
to the Definite Integral. IV.E Riemann Sums and Estimating Change The definite integral and The FTofC 
Week 15 Summary of Weeks 1215 Due Friday 
428 Substitution in an indefinite integral! Intro to functions of 2 or more. Functions of many variables. Tables for 2 variables. 
Area
. Finding area by estimates and using antiderivatives. Fundamental Theorem I 
More Notation, Area and applications:
Interpreting definite integrals. Average Value. Partial derivatives. 1st order. linear estimation 
Review Substitution then substitution in definite integrals 
Week 16  55 Linear Estimations and Partial Derivatives. Area between curves. 
More on Area and integration. Consumer& Producer Surplus; Social Gain. 
Elasticity Extremes (Critical points) Least Squares example 
2nd order partial derivatives Future and present value Visualizing Functions of 2 variables: level curves, graphs of z=f(x,y) Improper Integrals I and II? 
Week 17 Final Examination Review Session Sunday 
Self Schedule for Final Examinations
Mon. May 12 15:0016:50 TBA come to BSS 356 Wed. May 14 15:0016:50 SH 128* (as per Exam Schedule) Wed. May 14 12:4014:30 NR 201 Thur. May 15 15:0016:50 SH 128 OR Special Appointment 
I. Differential
Calculus:
A. *Definition
of the Derivative
B. The
Calculus of Derivatives
C. Applications
of derivatives
D. Theory

E. Several Variable Functions
Partial derivatives. first order II. Differential Equations and Integral Calculus: A. Indefinite
Integrals (Antiderivatives)
Definition/ Estimates/ Simple Properties / Substitution *Interpretations (area / change in position/ Net costrevenuesprofit) *THE FUNDAMENTAL THEOREM OF CALCULUS  evaluation form
