Calculus
General Info  Daytoday  Resources
WeBWorK  KLD Book Site  Calculus On Demand
Day to day: Reading, topics, and notes
wk.  date  reading  topic  Notes  
1  1/4  1.2 1.3 1.4 
Lines in the Plane. Functions and their graphs. New functions from old. 
Slides,
Printout, After, Worksheet (solns) 

Specical class pending Friday 1/6: Meet during Xhour next week  
2  1/9  1.5  Trigonometric functions.  Slides,
Printout, After 

1/11  1.6  Exponential and logarithmic functions.  Slides,
Printout, After 

1/12 (X)  2.2, 2.1 
The legacy of Galileo, Newton, and Leibniz. Modeling rates of change: introduction. 
Slides,
Printout, Spreadsheet (with everything in) 

1/13 
2.3, 2.4 
Limits of functions. Limits at infinity. 
Slides,
Printout, Corrected slides 

No class on Monday 1/16: Meet during Xhour this week  
3  1/18  2.5  Continuity.  Slides, Printout  
1/19 (X)  2.6  Tangent lines and their slopes. 
Worksheet  
1/20  2.7  The derivative.  Slides,
Printout After 

4  1/23  2.8  Differentiation rules.  Slides,
Printout After 

1/25  2.9, 2.12 
Derivatives of trigonometric functions. Derivatives of exponentials. 
Slides,
Printout Help with the last problem (solns) 

1/27 
2.11 
Implicit differentiation.  Scanned notes (3 sets)  
5  1/30 
2.12, 4.10 
Derivatives of logarithmic functions Inverse trigonometric functions  Slides,
Printout After  
EXAM 1: Monday 3:304:45pm. Sections 1.22.9 + exponential functions in 2.12  
2/1  2.13, 2.14 
Newton's method. Linear approximations. 
Slides,
Printout, Spreadsheet, After 

2/3  2.10, 3.5 
The mean value theorem. Intervals of Increase/Decrease Issues in curve sketching (begin) 
Slides,
Printout After 

6  2/6  3.5  Issues in curve sketching continued.  Slides,
Printout After 

2/8  2.17  Related Rates.  Slides,
Printout, Extra practice + some solutions 

2/9 (X)  3.6  Optimization.  Slides, Printout  
No class on Friday 1/10: Meet during Xhour this week  
7  2/13  2.15, 2.16 
Antiderivatives and initial value problems. Velocity and acceleration. 
Slides, Printout  
2/15  4.1 4.6 
Modeling accumulations: introduction. Trappezoid rule (omit Simpson's rule) 
Slides, Printout  
EXAM 2: Wednesday 3:304:45pm. All subjects from Implicit Differentiation (1/27) to Optimization (2/9) inclusive. Rewrite cover sheet  
2/17  4.2, 4.3 
The definite integral. Properties of the definite integral. 
Slides, Printout  
8  2/20  4.4, 4.5 
The fundamental theorem of calculus. Techniques of integration (omit integration by parts). 
Slides,
Printout After 

2/22  4.7  Areas between curves.  Slides,
Printout Solutions 

2/24  4.9  Arc length.  Slides, Printout  
9  2/27  3.1  Modeling with differential equations: introduction. Separable differential equations: first look. 
Slides,
Printout After, 

2/29  3.2, 3.3 
Exponential growth and decay. Separable differential equations. 
Slides, Printout  
3/2  3.4  Slope fields and Euler's method  Slides, Printout  
10  3/5  Review of course  
3/7  Review of course  
FINAL EXAM: 3/10, 35pm Cumulative, with an emphasis on topics from 2/13 and on. 