Math 3, Winter 2013, Schedule (subject to change)
Introduction to Calculus
Dartmouth College, Department of Mathematics
Lecture 
Date 
Sections 
Topic 
1 
1/7 
1.1 
Modeling
discrete data: introduction; Method of least squares 
2 
1/9 
1.21.4 
Lines
in the Plane; Functions
and their graphs; New functions from old 
3 
1/11 
1.5 
Trigonometric
functions 
4 
1/14 
1.6 
Exponential
and logarithmic functions 
5 
1/16

2.1 
Modeling
rates of change: introduction 
6 
1/18 
2.22.4 
The
legacy of Galileo, Newton, and Leibniz; Limits of functions; Limits at
infinity 
7 
1/21
(class moved to xhour) 
2.52.6 
Continuity;
Tangent lines and their slopes 
8 
1/23 
2.62.7 
Tangent
lines and their slopes cont.; The derivative 
9 
1/25 
2.8 
Differentiation
rules 
10 
1/28 
2.9 
Derivatives
of trigonometric functions 
11 
1/30 
2.102.11 
The
mean value theorem; Intervals of increase/decrease; Implicit differentiation 
12 
2/1 
2.12 
Derivatives
of exponentials and logarithms 
13 
2/4 
2.132.14 
Newton’s
method; Linear approximations 
14 
2/6 
2.152.16 
Antiderivatives
and initial value problems; Velocity and acceleration 
15 
2/8
(class moved to xhour) 
2.17 
Related
rates 
16 
2/11 
3.1 
Modeling
with differential equations: introduction; Seperable differential equations:
first look 
17 
2/13 
3.23.3 
Exponential
growth and decay; Separable differential equations 
18 
2/15 
3.4 
Slope
fields and Euler’s method 
19 
2/18 
3.5 
Issues
in curve sketching 
20 
2/20 
3.6 
Optimization 
21 
2/22 
4.1 
Modeling
accumulations: introduction 
22 
2/25 
4.24.3 
The
definite integral; Properties of the definite integral 
23 
2/27 
4.44.5 
The
fundamental theorem of calculus; Techniques of integration (omit integration
by parts) 
24 
3/1 
4.6 
Trapezoid
rule and Simpson’s rule 
25 
3/4 
4.7 
Areas
between curves 
26 
3/6 
4.9 
Arc
length 
27 
3/8 
4.10 
Inverse
trigonometric functions 