| 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) 6.1-6.4 |
- 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 7.1-7.2 |
|
Quick review of even/odd function.
Substitution.
Integral by parts.
|
| Wednesday, Sep 9th |
Review of Section 7.1-7.2 plus partial fractions |
|
Substitution.
Integral by parts.
Partial Fractions.
|
| Friday, Sep 11th |
Review of Section 7.1-7.2 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 non-math and non-physics 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/p-test/... and more!
|
| Tuesday, Oct 13th |
Chapter 7.7: Comparison Test |
|
Improper integral comparison test/p-test/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/n-th 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.
|
