Spring 2016 MATH 1012E
Calculus 2 IBDPE 微積分(二)能源學程
Syllabus. (updated 2/24/2016)
Syllabus in Chinese (updated 2/24/2016).
Announcements
- 2/24/2016: Welcome (back) to the Class!
- 2/24/2016: Office hours scheduled.
- 3/11/2016: Please arrange a two hour lecture for me on the week of March 28 (to replace lecture on March 30)
- 3/18/2016: The lecture on March 30 is moved to March 28, from 11:10 to 13:00, in the same room.
Class Logs
2/24/2016(WED): Syllabus, introduction to sequences.
2/26/2016(FRI): limit of sequences.
3/2/2016(WED): some important limits, introduction to series.
3/4/2016(FRI): some typical infinite series.
3/9/2016(WED): kth term test, series of nonnegative terms, integral tests.
3/11/2016(FRI): basic comparison tests, limit comparison tests.
3/16/2016(WED): root tests and ratio tests.
3/18/2016(FRI): alternating series tests.
3/23/2016(WED): Introduction to Taylor series.
3/25/2016(FRI): More on Taylor series.
3/28/2016(MON): Finish Taylor series.
4/1/2016(FRI): No class.
4/6/2016(WED): Midterm 1.
4/8/2016(FRI): Power series, term by term differentiation/integration.
4/13/2016(WED): Quick review to vector in R3, cross products, lines.
4/15/2016(FRI): Lines and planes in R3.
4/20/2016(WED): Finish plaens, introduction to vector calculus.
4/22/2016(FRI): Curves, unit tangent and normals, osculating planes, arclengths.
4/27/2016(WED): Reparametrizations, curvatures.
4/29/2016(FRI): Introduction to functions of several variables, level sets and graphs.
5/4/2016(WED): Quadric surfaces, introduction to partial derivatives.
5/6/2016(FRI): Continuity and limits.
5/11/2016(WED): Gradients and directional derivatives.
5/13/2016(FRI): Gradients and chain rules.
5/18/2016(WED): Gradients and normal vector, local extremas.
5/20/2016(FRI): Absolute extremas.
5/25/2016(WED): Midterm 2.
5/27/2016(FRI): Introduction to double integrals.
6/1/2016(WED): double integrals over more general domains, polar coordinates.
6/3/2016(FRI): double integrals using polar coordinates, cylindrical and spherical coordinates.
6/8/2016(WED): Triple integrals, triple integrals with cylindrical and spherical coordinates.
6/13/2016(FRI): No class.
6/15/2016(WED): General change of coordinates, introduction to line integrals.
6/17/2016(FRI): line integrals, fundamental theorem of line integrals.
Homework Assignments
All problems, unless otherwise stated, are from Salas.
- Homework 1 (To be quizzed on March 4):
Project 7.4 at page 364.
Section 11.2: 16, 18, 26, 36, 40, 46.
Section 11.3: 10, 20, 30, 32.
Section 11.4: 18, 26, 28, 32, 36, 44, 47.
See Here for solutions
- Homework 2 (To be quizzed on March 11):
Section 11.7: 2, 16, 22, 28, 34, 38.
Section 12.2: 2, 4, 6, 10, 14, 18, 33, 34.
Section 12.3: 6, 10, 16, 19, 30, 32, 38.
See Here for solutions
- Homework 3 (To be quizzed on March 18):
Section 12.4: 4, 8, 10 ,18, 24, 28, 34, 36, 43.
Section 12.5: 6, 12, 20 ,28, 30, 36, 44, 45.
See Here for solutions
- Homwwork 4 (To be quizzed on March 25):
Section 12.5: 6, 12, 20 ,28, 30, 36, 44, 45.
Section 12.6: 2, 4, 8, 10, 11, 14, 28, 38, 46.
See Here for solutions
- Homework 5 (To be included in the first midterm):
Section 12.7: 2, 6, 8, 12, 20, 26, 30
See Here for solutions
- Homework 6 (To be quizzed on April 15):
Section 12.8: 10, 18, 34, 38.
Section 12.9: 6, 10, 16, 28.
Section 13.5: 2, 4, 6, 10, 22, 31.
Solutions.
- Homework 7 (To be quizzed on April 22):
Section 13.3: 6, 12, 16, 30.
Section 13.4: 6, 10, 21, 38, 40.
Section 13.5: 4, 10, 14, 20, 22, 30.
Section 13.6: 6, 10, 16, 22, 26, 28, 36, 40.
See Here for solutions
- Homework 8 (To be quizzed on April 29):
Section 14.3: 4, 8, 9, 16, 24, 36, 40.
Section 14.4: 4, 9, 12, 18, 20, 21, 23, 24.
Section 14.5: 8, 10, 18, 30.
Section 15.1: 6, 14.
See Here for solutions
Additional solutions.
- Homework 9 (To be quizzed on May 6):
Section 15.2: 4, 12, 22, 26, 30, 36, 42.
Section 15.3: 4, 8, 14, 22, 26, 30.
Section 15.4: 6, 10, 14, 20, 28, 32, 38, 42, 52, 56.
See Here for solutions
- Homework 10 (To be quizzed on May 13):
Section 15.3: 4, 8, 14, 22, 26, 30.
Section 15.4: 6, 10, 14, 20, 28, 32, 38, 42, 52, 56.
Section 15.6: 4, 12, 20, 23, 26, 27.
See Here for solutions
- Homework 11 (To be quizzed on May 20):
Section 16.1: 6, 14, 18, 22, 30, 39.
Section 16.2: 6, 10, 16, 22, 24, 28, 37, 40.
Section 16.3: 4, 12, 16, 20, 26.
See Here for solutions
- Homework 12 (To be Included on the Second Midterm, May 25):
Section 16.4: 12, 16, 22, 28, 33.
Section 16.5: 8, 16, 20, 28.
Section 16.6: 4, 16.
Solution 16.3-16.6.
- Homework 13:
Section 17.3: 2, 3, 5, 10, 14, 15, 20, 24.
Section 17.4: 10, 14, 16, 23, 28.
Solutions.
- Homework 14:
Section 17.7: 4, 9, 24, 29, 50.
Section 17.8: 12, 16.
Section 17.9: 10, 13, 19, 28.
Section 17.10: 6, 8, 13, 17.
Section 18.1: 3, 10, 14, 19.
Solutions.
Exam Info
- Exam 1 Info Please download Here
Exam 2 Info Please download Here
Final Exam Info Please download Here
Old Exams
Calculus Competition
Please refer to this
for information on registration, award, and the range of the exam.
Handouts
Correction to lecture notes on 6/17/2016