We ek 
Date  Lec ture 
Contents 
1  0905 
Labour Day  
0907  L01 
outline and overview, §1.1 power functions 

0909  L02  §1.1 an example §1.2 cell size, §1.2.3 even and odd funcitons 

2  0912  L03  §1.2.3 examples §1.4 sketching of combined power functions 
0914  L04  §1.5 MichaelisMenten Kinetics and Hill functions §2.3 average rate of change, slope of secant line 

0916  L05  §2.4 average velocity and instantaneous velocity §2.5 + Appendix D: limit 

3  0919  L06  §2.5 definition of derivative §3.1 geometric view of derivative, slope of tangent vector, sketching df/dx for given gragh of f(x) §3.2 definition of continuity 
0921  L07  §3.2 examples of removable/nonremovable
discontinuity,
definition of derivative revisited with examples,
limit of (sin t)/t as t goes to 0 §3.3 computation/approximation of derivative using finite difference 

0923  L08  §3.3 example: computation by spreadsheet,
spreadsheet example
§4.1 Rules for differentiation: power rule, linearity quiz 1 and quiz 1 solution 

4  0926  L09  §4.1 product Rule, quotient Rule, chain Rule 
0928  L10  §4.2 antiderivative of power functions, application to
position, velocity and acceleration §4.3 sketch antiderivative y(t) from the graph of f(t)=dy/dt §5.1 tangent line and its xintercept, introduction to Newton's method 

0930 
L11  §5.3 linear approximation §5.4 Newton's method, spreadsheet example §5.5 tangent line from an outside point 

5  1003 
L12  §5.5 continued §6.1 increasing and decreasing, the sign of df/dx 
1005 
L13 
§6.1 §6.2: examples, concave up/down and the sign of
d^2f/dx^2  
1007 
L14  §6.2 Example 5 §6.3 Sketching the graph of f(x) using the signs of f' and f'' quiz 2 and quiz 2 solution 

6  1010 
Thanksgiving Day 

1012 
L15 
§6.2.3 Types of critical points, first and second
derivative tests §6.3.1 Absolute maximum and mimimum 

1014 
L16  §7.1 Some biological optimizations, Examples 7.1 and
7.2 §7.2 Optimization under constraint, Example 7.3 

7  1017 
L17 
§7.2 Example 7.4 §7.3 Example 7.5 absolute maximum may occur at end point §7.4 optimal foraging 
1018  Midterm Exam: Tuesday October 18 evening  
1019 
L18 
§7.4 continued supplement: least square 

1021 
L19  least square continued Chapter 8. Chain rule and its application to optimization 

8  1024 
L20  optimal attention,
spread
sheet example
§9.1 Related rate, Examples 1 and 2 
1026 
L21  §9.1 Examples 3 and 4 §9.2 Implicit differentiation, Example 1 (pic) and Example 2 (pic) 

1028 
L22  §10.110.2 Exponential functions and their derivatives 

9  1031 
L23  §10.310.4 Inverse functions and logarithmic functions 
1102 
L24  §11.111.2 Differential equations (DE) for exponential
growth and decay 

1104 
L25  §11.3 exponential decay §13.1 nonlinear DE, qualitative study 

10  1107 
L26  §13.2 slope field, solution curve, and phase line analysis,
Examples
14 
1109 
L27 
§13.2 Example 5 §12.3 Linear differential equation y'=aby, terminal velocity, Newton's law of cooling, Examples 13 

1111 
Remembrance Day 

11  1114 
L28  §12.3 phase line analysis for Newton's law of cooling and general linear DE,
meaning of b, solution formula, characteristic time 
1116 
L29  §12.3 example of characteristic time, snow melting DE §12.4 Euler's method, introduction 

1118 
L30  §12.4 Euler's method, example 1,
spreadsheet
example 1,
1b
quiz 3 and quiz 3 solution 

12  1121 
L31  §12.4 Example 2, Euler's method applied to logistic equation,
spreadsheets
example
2
§13.3 finding inflection points for solutions of the logistic equation, the DE system for a model of spreading of disease 
1123 
L32  §13.3 study of the DE system for a model of spreading
of disease §14.1 trigonometric functions, anglesum identities 

1125 
L33 
§14.1 double angle formulas and other trig functions §14.2 periodic functions §14.3 inverse tan function arctan 

13 
1128 
L34 
§15.1 derivative of trig functions §15.2 changing angles and related rates 
1130 
L35 
§15.2 continued §15.3 Zebra danio's escape responses 

1202 
L36 
conclusion and review 

1212 
Final Exam: Monday December 12 8:30am11am at MATH 100. 