Date 
Section(s) covered 
Notes 
Summary 
Tuesday, Sep 1st 
Review of definite integral 5.1, 5.2 

 Riemann sums (Left and Right)
 Definition of definite integral

Wednesday, Sep 2st 
Review of definite integral 5.3, 5.4 

Fundamental Theorem of Calculus!
Average of function: Application of Definite Integral

Friday, Sep 4th 
Review of Indefinite integral(Antiderivatives) 6.16.4 
 Summary of Chapter 6.
 If you are looking for exercises, they are essentially in your gateway exam and I did put the section 6.4 in Chapter 5.

Definite integral using area.
Some properties of definite integral.
Antiderivatives of some common function.
Second fundamental Theorem

Tuesday, Sep 8th 
Review of Section 7.17.2 

Quick review of even/odd function.
Substitution.
Integral by parts.

Wednesday, Sep 9th 
Review of Section 7.17.2 plus partial fractions 

Substitution.
Integral by parts.
Partial Fractions.

Friday, Sep 11th 
Review of Section 7.17.2 plus partial fractions 

Substitution.
Integral by parts.
Partial Fractions.

Tuesday, Sep 15th 
Partial fractions, and review of Fundamental theorems 

More Integral by parts, with repeated roots and irreducible quadratic terms.
Some reviews of Fundamental Theorem of Calculus.
Ready for more Riemann sums.

Wednesday, Sep 16th 
Riemann Sums(Mid and Trapezoid) 

Riemann Sums(Mid and Trapezoid).
Introduction to Area/Volume using definite integral.

Friday, Sep 18th 
Area, Volume(Disk Method) 

Application of integral: Area.
Application of integral: Volume(Disk Method).

Tuesday, Sep 22nd 
Volume(Shell Method) 

Application of integral:Volume(Shell Method) .

Wednesday, Sep 23th 
Mass(density) and arc length 

Arc length of curve \(y=f(x)\) from \(a\) to \(b\)$$=\int_a^b \sqrt{1+(f'( x ))^2} dx.$$
Arc length of curve \(x=h(y)\) from \(c\) to \(d\)$$=\int_c^d \sqrt{1+(h'( y ))^2} dy.$$
Mass(integral of object with density).

Friday, Sep 25th 
Work 

Work.

Tuesday, Sep 29th 
Exam 1 Review 1 

Work (In nonmath and nonphysics sense).

Wednesday, Sep 30th 
Exam 1 Review 2 

Topic class for reviewing! We went over questions about work/mass/volume/FTC/multiple choice

Friday, Oct 2nd 
Exam 1 Review 2 

Topic class for reviewing! We went over questions about work/mass/volume/FTC/multiple choice

Tuesday, Oct 6th 
Chapter 4.7 

L'Hospital Rult

Wednesday, Oct 7th 
Chapter 7.6: Improper Integral 

Introduction to improper integral, with calculation.

Friday, Oct 9th 
Chapter 7.7: Comparison Test 

Improper integral comparison test/ptest/... and more!

Tuesday, Oct 13th 
Chapter 7.7: Comparison Test 

Improper integral comparison test/ptest/Exponential Decay Test/Limit Convergence Test(optional) and more!

Wednesday, Oct 14th 
Chapter 8.7 

Probability Density Function, Cumulative Distribution function.

Friday, Oct 16th 
Chapter 8.8 

Probability, mean and median

Tuesday, Oct 20th 
Chapter 9.1 

Sequences.
Bounded monotone sequences converge.

Wednesday, Oct 21st 
Chapter 9.2 

Series.
Geomtetric Series.

Friday, Oct 23th 
Chapter 9.3 

Determining convergence of series: Integral Test/nth term test.

Tuesday, Oct 27th 
Chapter 9.4 

Convergence of Series：Comparison Test/Limit Comparison Test.

Wednesday, Oct 28th 
Chapter 9.4 

Convergence of Series:Absolute Convergence, Alternating Series Test, Ratio Test.

Friday, Oct 30th 
Chapter 9.5 

Power Series, radius of convergence, interval of convergence.

Tuesday, Nov 3rd 
Chapter 9.5 

Power Series, radius of convergence, interval of convergence.
VOTE!

Wednesday, Nov 4th 
Exam 2 Review 

Exam review, some partial information question.

Friday, Nov 6th 
Exam 2 Review summary 

Jam Exam review.

Tuesday, Nov 10th 
10.1 Taylor Polynomial 

Taylor Polynomial.

Wednesday, Nov 11st 
10.2 Taylor Series 

Taylor Series.

Friday, Nov 13rd 
10.3 More on Taylor Series 

Taylor Series, manipulating the Taylor series.

Tuesday, Nov 17th 
4.8 Parametrization 

Section on Parametrization.

Wednesday, Nov 18th 
8.2 Parametrization 

Section on Parametrization, start Polar Coordinate.

Friday, Nov 20th 
8.3 Polar Coordinate 

Polar Coordinate.

Monday, Dec 1st 
Review of Parametrization and Polar Coordinates 

Polar Coordinate.

Wednesday, Dec 2nd 
Review of Parametrization and Polar Coordinates 

Taylor Polynomials and Taylor Series.

Friday, Dec 4th 
Review of Taylor Polynomials and Taylor Series. 

Polar Coordinate.

Tuesday, Dec 8th (Last Day of Class) 
La Dernière Classe. 

Math, a lifelong class.
