Date  Subjects 
Aug. 24 
Intro to the class

Functions


Aug. 29 
Sequences

Limits of sequences

Limits of functions


Aug. 31 
More on limits

What is a derivative?


Sept. 5 
Study of derivatives

§§2.6, 2.7, 3.1, 3.2


Sept. 7 
§3.3: Chain rule and implicit differentiation

§3.3: Derivatives of logs

§3.4: Derivatives of trigonometric functions


Sept. 12 
§3.5: Linear approximation

§3.6: Higher derivatives
and associated
approximations

§3.7:
l'Hôpital's rule


Sept. 14 
§4.1:
Curve sketching

§4.2:
Max/min problems


Sept. 19 
Infinite series

(§7 of "Differential_calculus.pdf")


Sept. 21 
Catch up and review

Sept. 26 
First Midterm Exam 
Sept. 28 
More on infinite series

Antiderivatives and area


Oct. 3 
The definite integral

Fundamental theorem of calculus


Oct. 5 
More about integrals and areas

Riemann sums


Oct. 10 
Substitution and change of variables

Integration by parts


Oct. 12 
More integration by parts

Numerical integration


Oct. 17 
Applications of integration

Oct. 19 
Differential eqations and dynamics

Oct. 24 
Area under the Gaussian curve

Preexam questions


Oct. 26 
Last Midterm Exam 
Oct. 31 
Probability spaces and random variables

(Ch. 7 of Schreiber and the ProbStat notes)


Nov. 2 
Histograms, PDFs, CDFs

(Schreiber, §7.1)


Nov. 7 
Expected values

Normal Distribution

(Schreiber, §§7.27.3)


Nov. 9 
Variance, independence

Nov. 14 
Law of Large Numbers

Central Limit Theorem


Nov. 16 
Data and statistics

Maximum likelihood


Nov. 21 
Hypothesis testing

pvalues


Nov. 28 
The Ztest

Nov. 30 

Dec. 5 
RRR week

Dec. 7 
RRR week
