Day 
Date 

Topic 
gp 
Unit (notes)

Section (book)

Video

Assignment due

0 
T08/29 
First recitation 
Nuts and bolts: TA + both lecturers 





1 
W08/30 

Functions  refresher on graphing 
0 
1.1 
1.11.3 


2 
F09/01 

Units, proportionality and word problems 
0 
1.2 
xxx 




Labor Day 






3 
W09/06 

Estimating and bounding 
1 
1.3 
3.11 
Linearization 
HWK00: Graphing and word problems 







Limits 1 (probably also watch Limits 2) 

4 
F09/08 

Limits 
1 
1.4 
2.22.5, 4.5 
and definitely watch: L'Hopital's rule 

5 
M09/11 

Orders of growth 
1 
2.1 
7.4 
Orders of growth (Prof. Ghrist) 

6 
W09/13 

Computing with logs 
1 
2.2 
1.51.6 
Logarithmic functions 
HWK01: Estimation, bounding, limits 
7 
F09/15 

Logarithmic relationships 
1 
2.3 
xxx 


8 
M09/18 

Sums 
1 
3.1 



9 
W09/20 

Riemann sums 
1 
3.2 
5.15.3 
Riemann Sums and Sigma Notation 
HWK02: Exponents and logarithms 
10 
F09/22 

Bounding and estimating integrals and sums 
1 
3.3 
8.7 

GW01 (bounding) 
11 
M09/25 

catchup day 





12 
W09/27 

Refresher on substitutions 
1 
4.1 
5.55.6 
5.6: many videos  watch as needed 
HWK03: Sums and integrals 
13 
F09/29 
EXAM I to here 
Integration by parts 
1 
4.2 
8.2 
Integration by parts 

14 
M10/02 

Improper integrals and convergence 
2 
5.1 
8.8 
First 30 minutes of: Improper integrals 
HWK04: Integration techniques 

T10/03 
Exam I 






15 
W10/04 

Probability densities and applications 
2 
5.2 
8.9 
Probability, Part 1 



Fall break 






16 
M10/09 
drop day 
Type II improper integrals 
2 
5.3 
8.8 
Remainder of: Improper integrals 

17 
W10/11 

Taylor polynomials 
2 
6.1 
10.8 

GW02 (loglog) 
18 
F10/13 

Computing Taylor polynomials 
2 
6.2 
10.8 

HWK05: Improper inegrals/probability 
19 
M10/16 

Taylor's Theorem with remainder 
2 
6.3 
10.9 


20 
W10/18 

Integral and alternation tests 
2 
7.1 
10.210.6 
Integral test 

21 
F10/20 

Ratio and root tests 
2 
7.2 
10.7 
Root test 
HWK06: Taylor polynomials 
22 
M10/23 

Power series 
2 
7.3 
xxx 


23 
W10/25 

Differential equations intro + word problems 
2 
8.1 
9.1 


24 
F10/27 

Slope fields 
2 
8.2 
9.1 

HWK07: Infinite series 
25 
M10/30 
E. II to here 
Euler's method 
2 
8.3 
9.1 


26 
W11/01 

catchup day 
2 
xxx 
xxx 

HWK08: Differential equations 

R11/02 
Exam II 






27 
F11/03 

f' = k f and exponential trajectories 
2 
9.1 
7.2 


28 
M11/06 

Separable equations 
3 
9.2 
7.2 
Separable equations 

29 
W11/08 

First order eqs and integrating factors 
3 
9.3 
9.2 
First order linear equations, part 1 
GW03 (mortgage) 
30 
F11/10 

Applications 
3 
9.3 
9.2 


31 
M11/13 

Multivariate functions, graphs, contours 
3 
10.1 
14.1 
Functions of several variables 

32 
W11/15 

Double integrals over rectangles 
3 
10.2 
15.1 
Double integrals over general regions 
HWK09: Exact solutions and applications 
33 
F11/17 

Double integrals over general regions 
3 
10.3 
15.2 
Interchanging limits of integration 

34 
M11/20 

Spatial totals, averages, probabilities 
3 
10.4 
xxx 


35 
W11/22 

Partial derivatives / increment theorem 
3 
11.1 
14.3 
Partial derivatives 
HWK10: Functions of several variables 


Thanksgiving 






36 
M11/27 

MV chain rule 
3 
11.2 
14.4 
Multivariate chain rule 

37 
W11/29 

Implicit differentiation and level curves 
3 
11.3 
xxx 


38 
F12/01 
E. III to here 
Applications 
3 
11.4 
xxx 

GW04 (expected utility) 
39 
M12/04 

Vectors 
3 
12.1 
12.2, 12.3 

HWK11: Partial derivatives 

T12/05 
Exam III 






40 
W12/06 

Gradients 
3 
12.2 
14.5 
Gradients 

41 
F12/08 

Optimization 
3 
12.3 
4.6, 14.7 
Extreme values and saddle points 

42 
M12/11 

Optimization over a region 
3 
12.4 
14,7 
Optimization in two variables 
HWK12: Gradients and optimization 










F12/14 
Final Exam 





