Spring 2015 MATH 1012E
Calculus 2 IBDPE 微積分(二)能源學程

Syllabus updated 3/26/2015.

Announcements

2/25/2015: Welcome (back) to the Class!

2/25/2015: Due to family travel from 2/26/2015~3/2/2015, I will not be able to respond to your emails immediately.

3/18/2015: Please utilize the following free math tutoring resources on campus, other than office hours: K Hall,
5/21/2015: It is NOT acceptable to turn in your homework without me personally accepting it from you. (This includes leaving homework in my mailbox or on the floor of my office).

Class Logs

2/25/2015(WED): Class overview, introduction to sequences (Salas 11.2, 11.3).

2/28/2015(FRI): No class in observance of 228 memorial day.

3/4/2015(WED): Properties of convergent sequences, some typical sequences (Salas 11.3, 11.4)

3/6/2015(FRI): Indeterminate forms and L'Hopital's rule (Salas 11.5)

3/11/2015(WED): More L'Hopital's rule and improper integrals (Salas 11.6, 11.7)

3/13/2015(FRI): p-integrals, comparison principles in improper integrals (Salas 11.8)

3/18/2015(WED): Introduction to series, kth term tests, integral tests. (Salas 12.2, 12.3)

3/20/2015(FRI): Basic comparisons and limit comparisons tests. (Salas 12.4)

3/25/2015(WED): Root and Ratio tests. (Salas 12.5)

3/27/2015(FRI): Absolute convergence vs. conditional convergence (Salas 12.6)

4/8/2015(WED): Introduction to Taylor series (Salas 12.7)

4/10/2015(FRI): More on Taylor series, error estimates (Salas 12.7)

4/15/2015(WED): Taylor series in x-a, power series (Salas 12.8,12.9)

4/17/2015(FRI): Midterm exam 1

4/22/2015(WED): R 3 coordinates, vectors in R 3, dot product (Salas 13.1~13.3)

4/24/2015(FRI): Cross product (Salas 13.4)

4/29/2015(WED): Lines and planes (Salas 13.5, 13.6)

5/1/2015(FRI): Introduction to vector calculus (Salas 14.1)

5/6/2015(WED): Rules of differentiation, curves (Salas 14.2, 14.3)

5/8/2015(FRI): Arc length (Salas 14.4)

5/13/2015(WED): Functions of several variables, conic sections (Salas 15.1, 10.1)

5/15/2015(FRI): Quadric surfaces (Salas 15.2)

5/20/2015(WED): Quadric surfaces, level sets, introduction to partial derivatices (Salas 15.3, 15.4)

5/22/2015(FRI): Partial derivatives of higher order, limit and continuity (Salas 15.6)

5/27/2015(WED): Differentialbility and gradients, directional derivatives (Salas 16.1, 16.2)

5/29/2015(FRI): Directional derivatives (Salas 16.2)

6/3/2015(WED): Mean value theorem, chain rules, gradients as normals (Salas 16.3, 16.4)

6/5/2015(FRI): Midterm exam 2

6/10/2015(WED): gradient and tangent planes, local extremas (Salas 16.4, 16.5)

6/12/2015(FRI): absolute extremas (Salas 16.6)

6/17/2015(WED): Double Integrals (introduction) (Salas 17.4, 17.4)

Homework Assignments

Homework 1 (Due Wednesday March 4):
Project 7.4 at page 364.
Section 11.2: 16, 18, 26, 36, 40, 46.
Solutions
Homework 2 (Due Wednesday March 11):
Section 11.3: 10, 20, 30, 32.
Section 11.4: 18, 26, 28, 32, 36, 44, 47.
Section 11.5: 6, 22, 26, 28, 46, 49.
Solutions
Homework 3 (Due Wednesday March 18):
Section 11.6: 4, 10, 16, 26, 38, 59.
Section 11.7: 2, 16, 22, 28, 34, 38, 56.
Solutions
Homework 4 (Due Wednesday March 25):
Section 12.2: 2, 4, 6, 10, 14, 18, 33, 34.
Section 12.3: 6, 10, 16, 19, 30, 32, 38.
Solutions
Homework 5 (Due Wednesday April 8):
Section 12.4: 4, 8, 10 ,18, 24, 28, 34, 36, 43.
Section 12.5: 6, 12, 20 ,28, 30, 36, 44, 45.
Solutions
Homework 6 (Due Wednesday April 15):
Section 12.6: 2, 4, 8, 10, 11, 14, 28, 38, 46.
Section 12.7: 2, 6, 8, 12, 20, 26, 30
Solutions
Homework 7 (Due Wednesday April 29):
Section 13.1: 12, 14, 18.
Section 13.2: 4, 8, 19, 26, 40.
Section 13.3: 6, 12, 16, 30.
Section 13.4: 6, 10, 21, 38, 40.
Solutions
Homework 8 (Due Wednesday May 6):
Section 13.5: 4, 10, 14, 20, 22, 30.
Section 13.6: 6, 10, 16, 22, 26, 28, 36, 40.
Section 14.1: 6, 12, 16, 22, 46.
Solutions
Homework 9 (Due Wednesday May 13):
Section 14.3: 4, 8, 9, 16, 24, 36, 40.
Section 14.4: 4, 9, 12, 18, 20, 21, 23, 24.
Solutions
Homework 10 (Due Wednesday May 20):
Section 10.1: 6, 10, 16, 22, 26.
Section 15.1: 6, 14.
Section 15.2: 4, 12, 22, 26, 30, 36, 42.
Solutions
Homework 11 (Due Wednesday May 27):
Section 15.3: 4, 8, 14, 22, 26, 30.
Section 15.4: 6, 10, 14, 20, 28, 32, 38, 42, 52, 56.
Solutions
Homework 12 (Due Wednesday June 3):
Section 15.6: 4, 12, 20, 23, 26, 27.
Section 16.1: 6, 14, 18, 22, 30, 39.
Section 16.2: 6, 10, 16, 22, 24, 28, 37, 40.
Solutions
Homework 13 (Due Wednesday June 17):
Section 16.3: 4, 12, 16, 20, 26.
Section 16.4: 12, 16, 22, 28, 33.
Section 16.5: 8, 16, 20, 28.
Section 16.6: 4, 16.
Come to my office to obtain solutions. (Scanner broken)
Homework 14 - Optional:
Section 17.3: 2, 3, 5, 10, 14, 15, 20, 24.
Come to my office to obtain solutions. (Scanner Broken)
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Exams

Exam 1 Info Please download Here
Come to my office to obtain solutions. (Scanner Broken)
Exam 2 Info Please download Here
Come to my office to obtain solutions. (Scanner Broken)
Final Exam Info Please download Here

Calculus Competition

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Spring 2015 MATH 1012E Calculus 2 IBDPE 微積分(二)能源學程