Lectures 
Sections in Text 
Brief Description 
Day 1: 1/05 
10.1, 10.2 
General DEs, models,
direction fields (skip Euler's method) 
Day 2: 1/07 
10.3, 10.4 
Separable equations (skip
orthogonal trajectories), exponential growth 
Day 3: 1/09 
8.1, 10.6 
Integration by parts, first
order linear differential equations 
Day 4: 1/12 
10.6, Appendix G 
First Order Linear DE
applications, Complex Numbers 
Day 5: 1/14 
Appendix G, 18.1 
Complex Numbers, Second
order linear DEs 
Day 6: 1/16 
18.1 
Second order linear DEs
(cont.) 
1/16 

Last day to add/drop 
1/19 MLK Day 
No classes 
Monday classes moved to
xhours 
Day 7: xhour 
18.3 
Applications of secondorder
linear DEs (skipped forced vibrations and electric circuits) 
Day 8: 1/21 
12.1, 12.2 
Basics about sequences and
series; geometric series 
Day 9: 1/23 
12.8, 12.9 
Power Series; Representing
functions as power series 
Day 10: 1/26 
12.10 
Taylor Series 
Day 11: 1/28 
12.10 
Taylor Series Error
Estimates 
Day 12: 1/30 
13.1, 13.2 
Three dimensional
coordinate systems, vectors 
2/02 evening 

First Midterm Exam 4:00 
6:00 pm 
Day 13: 2/02 
13.3 
Dot products 
Day 14: 2/04 
13.4 
Cross products 
Day 15: 2/06 
13.5 
Equations of lines 
Day 16: 2/09 
13.5 
Equations of planes 
Day 17: 2/11 
14.1, 14.2 
Vector functions and space
curves, derivatives of space curves 
Day 18: 2/13 
14.3, 14.4 
Arc length (Skip binormal),
velocity and acceleration (Skip Kepler) 
Day 19: 2/16 
15.1, 15.2 
Functions of several
variables, limits, continuity 
Day 20: 2/18 
15.3 
Partial derivatives (skip
CobbDouglas function) 
Day 21: 2/20 
15.4 
Tangent planes and
approximation 
Day 22: 2/23 
15.5 
Chain Rule 
2/23 evening 

Second Midterm Exam 4:00 
6:00 pm 
2/24 

Last day to drop 
Day 23: 2/25 
15.6 
Directional derivative and
the gradient 
Day 24: 2/27 
15.6 
Directional derivatives,
gradient (contâ€™d) 
Day 25: 3/01 
15.7 
Maxima and minima 
Day 26: 3/03 
15.7 
Maxima and minima (cont.) 
Day 27: 3/05 
15.8 
Lagrange multipliers 
Day 28: 3/08 
15.8 
Lagrange multipliers (cont.),
Loose ends, questions, etc. 
3/09 

Last Day of Winter Term 