MATH – 10B. Calculus II

July, Summer 2021

MWF, 11:00pm-12:50pm

NEWS HOMEWORK HANDOUTS

Instructor: Professor Vladimir Rotar; e-mail: vrotar@ucsd.edu.

Lectures: They will be run online as it was scheduled; see above.

Office hours: MWF, 10:00 –10:45. If it is needed, office hours may be run also after 4:00pm. Really short questions may be answered right after the lectures.

Text: Openstax, Calculus 1 (only Section 4.10), Calculus 2.

Examinations: There will be three quizzes, and a final exam.

Homeworks will be posted as assignments. They will not be graded; however, students should realize that

It will be very hard to write quizzes and the final without doing the HWs. The more so as the quizzes will be very close to the HWs.

Grading policy: The quizzes will be taken into account in a capacity of 60%; the final - 40%. I reserve a right to change it but only in favor of students (say, 70-30 if the final turns out to be tough).

SYLLABUS

The list below is rather one of topics than of lectures: the real experience may dictate a slower or faster pace. A slight change of the order of exposition is also possible. All sections are from Volume 2 excepting the first item.

1. Sec. 4.10 (Volume 1) Antiderivatives.
2. Sec. 1.1-1.2: Approximating Areas, The Definite Integral,
3. Sec. 1.3-1.4. The Fundamental Theorem of Calculus. Integration Formulas and the Net Change theorem
4. Sec. 1.5. Substitution.
5. Sec. 1.6-1.7. Integrals Involving Exponential and Logarithmic Functions. Integrals Resulting in Inverse Trigonometric Functions.
6. Sec. 2.1-2.2. Areas Between Curves. Volumes.
7. Sec. 2.8. Exponential Growth and Decay.
8. Sec. 3.1. Integration by Parts.
9. Sec. 3.2. Trigonometric Integrals.
10. Sec. 3.4. Partial Fractions.
11. Sec. 3.7. Improper Integrals.
12. Sec. 4.1-4.2. Basics of Differential Equations. Directional Fields.
13. Sec. 4.3. Separable equations.
14. Sec. 5.1. Sequences.
15. Sec. 5.2. Infinite Series. Geometric series.