avatarCalculus II

Week 1, Feb 8th

During the first week, Calculus II students started a quick recap on elementary derivatives, integrals, L'Hôpital’s rule. Followed by Substitution Method and Improper Integrals.

Notes: February 9th

Week 2, Feb 15th

Second week covered Sequences and Summing an Infinite Series.

Notes: (no notes to publish)

Week 3, Feb 22nd

This week continued the Infinite Series and started Convergence of Series with Positive Terms.

Notes: February 22nd, February 23rd

Week 4, March 1st

Fourth week concentrated on Power Series, Taylor Polynomials, and Taylor Series. Fantastic things such as Squeeze Theorem and limit convergence theorems!

Notes: March 1st, March 2nd

Week 5, March 8th

Week five spent the first days of the week preparing for their first midterm. I did some problems to prepare students on topics from Week 1 up to Week 4. Midterm I was held on Tuesday, March 9th. Later in the week, the class has covered Area Between Two Curves, and Setting Up Integrals.

Notes: March 8th

Week 6, March 15th

This week has covered some fun material over Volumes of Revolution, Method of Cylindrical Shells, and Work & Energy problems. Do You remember finding volumes by rotating functions with defined domain on axis parallel or orthogonal to the axis of rotation? Don’t forget about Riemann Sums.

Notes: March 15th, March 16th

Week 7, March 22nd

This week covered such fundamental material as Integration by Parts and some ways to solve Trigonometric Integrals.

Notes: March 22nd, March 23rd

Week 8, March 29th

This week went on some Trigonometric Substitution and methods of Partial Fraction Decomposition.

Notes: March 29th, March 30th

Week 9, April 5th

This has been an exciting week, where Calculus II learned the art of Parametric Equations, finding Arc Lengths, and a different way of thinking about space, specifically, applying Polar Coordinates.

Notes: April 5th

Week 10, April 12th

The beginning of this week was spent in preparation for Midterm II, which was held on April 13th. Later, they just started learning about Vectors.

Notes: April 12th

Week 11, April 19th

This week went over Vectors in Three or more Dimensions and Dot Product. Exciting!

Notes: April 20th

Week 12, April 26th

Last week of tutoring! It’s bittersweet to see the semester coming to an end, especially the study sessions. We finished with more Vector Material, Cross Products, and did some wrap-up problems.

Notes: April 26th, April 27th