Fall 2014 MATH 1011E
Calculus 1 IBDPE 微積分(一)能源學程

Syllabus

Announcements

9/24/2014: TA (Chia-Jung Chang) office hours moved to WEDNESDAY 15:00~17:00 (at the same location Math Bldg. 205)
9/24/2014: Homework 1 due date changed to WEDNESDAY 10/1/2014. However, Homework 2 is still due on Friday, 10/3/2014.
9/26/2014: Make sure you turn your homework in to the instructor PERSONALLY, preferably in class. Any homework left on my desk or mailbox will NOT be accepted.
10/3/2014: Note that the shorter HW3 is due on WEDNESDAY, October 3, as we have no class on October 10 in observance of Taiwan Independence Day.
10/29/2014: The class on November 14 9:10-10:00 is moved to November 17 11:10-12:00.
10/29/2014: Problems on 4.3 in Homework 6 are moved to Homework 7 to be posted soon.
10-31/2014: Please have a look on the updated exam 1 info below at the Exam section. It contains information on your exam location and adds topics on extreme values of functions into exam 1.
11/5/2014: I am sorry that I forgot to bring graded Homework 6 to class today. Please come to my office anytime on Wednesday or Thursday to pick it up.
12/3/2014: Exam 2 will be held on 12/26. More info to be posted soon.
12/17/2014: Class on 12/24 (WED) is extended to a 3 hour lecture 10:00-13:00.
12/30/2014: Please fill out teaching evaluation here.
1/21/2015: The final exams have been graded. You may review your graded exam by PERSONALLY coming to my office. The final average of the entire course will be submitted on 1/28/2015. No change can be made after that. If you are not able to come to my office, please email me BEFORE 1/28/2015.
1/21/2015: We've already assigned partial credits generously and checked carefully for consistency. Therefore, we will not process request to add more partial credit. The only acceptable appeal is to return points incorrectly taken away.
1/28/2015: I will ONLY discuss grades with students IN PERSON. Please do not ask for grade related information over any other means.

Class Logs

9/17/2014(WED): Class overview, review on functions.

9/19/2014(FRI): Finish discussions on functions.

9/24/2014(WED): Introduction to the concepts of limit (Salas 2.1).

9/26/2014(FRI): Basic properties of limit, simple computations (Salas 2.3).

10/1/2014(WED): More limit computations, Pinching Theorem (Salas 2.5).

10/3/2014(FRI): Continuity (Salas 2.4 and 2.6).

10/8/2014(WED): Introduction to differentiation, basic computations for derivatives (Salas 3.1).

10/10/2014(FRI): Holiday - Taiwan Independence Day.

10/15/2014(WED): Properties and basic formulae for derivatives, higher order derivatives (Salas 3.2, 3.3).

10/17/2014(FRI): Chain rules (Salas 3.5).

10/22/2014(WED): Rate of changes, trigonometric differentiation (Salas 3.4, 3.6).

10/24/2014(FRI): Implicit differentiation (Salas 3.7).

10/29/2014(WED): Increasing and decreasing functions, mean value theorem, local max and min (Salas 4.1, 4.2).

10/31/2014(FRI): Classification of local max/min. (Salas 4.3).

11/5/2014(WED): Search toward absolute max/min, concavitiy (Salas 4.4 and 4.6).

11/7/2014(FRI): Midterm exam 1.

11/12/2014(WED): Curve sketching (Salas 4.7, 4.8).

11/14/2014(FRI): No class - class moved to 11/17/2014 due to field trip.

11/17/2014(MON): Max/min problems (Salas 4.5).

11/19/2014(WED): Differentials and Newton-Raphson approximations (Salas 4.11, 12), Introduction to integration (Salas 5.1).

11/21/2014(FRI): Some computations of integrals (Salas 5.2).

11/26/2014(WED): Fundamental theorem of calculus and properties of integration (Salas 5.4, 5.8).

11/28/2014(FRI): Area between curves (Salas 5.5).

12/3/2014(WED): More on antiderivatices, motion of particles, mean value theorem (Salas 5.6, 5.7, 5.9).

12/5/2014(FRI): More on area, beginning of volume by parallel cross sections (Salas 6.1, 6.2).

12/10/2014(WED): Volume of revolution: disk and washer method. (Salas 6.2).

12/12/2014(FRI): Volume of revolution: shell method. (Salas 6.3).

12/17/2014(WED): One-to-one functions, inverse functions and their derivatives, introduction to logarithm functions (Salas 7.1, 7.2).

12/19/2014(FRI): Calculus of logarithm functions and exponential functions (Salas 7.3, 7.4).

12/24/2014(WED): Arbitrary powers and bases, exponential growth and decay (Salas 7.5, 7.6).

12/26/2014(FRI): Midterm 2.

12/31/2014(WED): Inverse trigonometric functions, integration by parts (Salas 7.7, 8.2).

1/7/2015(WED): Integrations of powers and products of trig. functions, trig. substitutions (Salas 8.3, 8.4).

1/9/2015(FRI): Integrations of rational functions, partial fraction decompositions (Salas 8.5).

Homework Assignments

Homework 0 (Due Friday, September 19):
See Handout
Homework 1 (Due Wednesday, October 1):
Section 1.5: 12, 30, 44, 46, 48.
Section 1.7: 28, 30.
Section 2.1: 2, 5, 16, 24, 34, 42, 48.
Section 2.3: 2, 16, 26.
Solutions More Solutions
Homework 2 (Due Friday, October 3):
Section 2.3: 20, 25, 26, 27, 28, 38, 42, 52, 53.
Section 2.5: 6, 8, 14, 22, 32(use 31), 36, 43, 44.
Solutions
Homework 3 (Due Wednesday, October 8):
Section 2.4: 8, 12, 22, 36, 42
Section 2.6: 4, 12, 25, 28
Solutions
Homework 4 (Due Friday, October 17):
Section 3.1: 14, 20, 22, 24, 30, 35, 41, 44, 46.
Section 3.2: 6, 9, 12, 20, 24, 28, 30, 32, 36, 40, 44, 50, 54, 58, 66.
Section 3.3: 8, 18, 26, 30, 40, 50, 53, 60, 64.
Solutions
More Solutions
Homework 5 (Due Friday, October 24):
Section 3.4: 2, 10, 12, 16.
Section 3.5: 10, 16, 20, 24, 26.
Section 3.6: 6, 18, 22, 32, 50, 70.
Solutions
Homework 6 (Due Friday, October 31):
Section 3.7: 12, 22, 56.
Section 4.1: 14, 20, 24.
Section 4.2: 6, 16, 24, 34, 42(don't sketch f), 56.
Solutions
Homework 7 (Due Friday, November 7):
Section 4.3: 6, 18, 24, 31, 38.
Section 4.4: 6, 14, 22, 28, 32, 34.
Section 4.6: 2, 4, 10, 14, 28, 42.
Solutions
Homework 8 (Due Friday, November 21):
Section 4.5: 12, 15, 22, 33, 59, 62.
Section 4.7: 2, 8, 14, 26, 34.
Section 4.8: 6, 14, 30, 51.
. Solutions
Homework 9 (Due Friday, November 28):
Section 4.11: 14.
Section 4.12: 16.
Section 5.2: 10,23.
Section 5.3: 2, 18, 22, 29, 36.
Section 5.4: 4, 8, 24, 32, 46.
Solutions
Homework 10 (Due Friday, December 5):
Section 5.5: 8, 10, 12, 24.
Section 4.9: 4, 26.
Section 5.6: 12, 24, 30, 36, 3.9
Section 5.8: 7~10, 26, 28, 37.
Solutions
Homework 11 (Due Friday December 12):
Section 5.9: 12, 14, 22.
Section 6.1: 6, 12, 22, 36.
Section 6.2: 6, 14, 16, 24, 34, 40.
Section 6.3: 6, 10, 16, 22.
Solutions
Homework 12 (Due Friday December 19):
Section 6.3: 6, 10, 16, 22.
Section 7.1: 6, 12, 18, 36, 44, 52.
Section 7.2: 20, 22.
Section 7.3: 6, 14, 20, 28, 30.
Solutions
Homework 13 (Due Friday December 27):
Section 7.2: 20, 22.
Section 7.3: 6, 14, 20, 28, 30.
Section 7.4: 16, 18, 24, 34, 40, 62, 68.
Section 7.5: 16, 26, 34, 62.
Section 7.6: 8, 14, 20.
Solutions
Homework 14 (Due Friday January 9):
Section 8.2: 6, 12, 20, 32, 34, 38.
Section 8.3: 6, 14, 24, 53, 54.
Solutions
Homework 15 (Due Wednesday January 14):
Section 8.4: 8, 16, 24, 34, 40.
Section 8.5: 6, 12, 22, 34.
Solutions

Fall 2014 MATH 1011E Calculus 1 IBDPE 微積分(一)能源學程

Announcements

Class Logs

Homework Assignments

Exams

Handouts

Lecture Notes

Fall 2014 MATH 1011E
Calculus 1 IBDPE 微積分(一)能源學程