Fall 2015 MATH 1011E
Calculus 1 IBDPE 微積分(一)能源學程
Syllabus
Syllabus in Chinese
Announcements
- 9/16/2015(WED): Welcome to the class!
Class Logs
9/16/2015(WED): Syllabus and overview of calculus (review of precalculus).
9/18/2015(FRI): Finish review of precalculus.
9/23/2015(WED): Introduction to limit, basic computations.
9/25/2015(FRI): Properties of limit.
9/30/2015(WED): Trigonometric limit computations.
10/2/2015(FRI): Continuity and intermediate value theorem.
10/7/2015(WED): Introduction to differentiation, some basic computations.
10/9/2015(FRI): No class, in observance of Taiwan independence day.
10/14/2015(WED): Basic properties of differentiation, higher order derivatives.
10/16/2015(FRI): Chain rules.
10/21/2015(WED): Trigonometric differentiations, implicit differentiation.
10/23/2015(FRI): Implicit differentiation, Rolles' Theorem.
10/28/2015(WED): Increasing and decreasing functions.
10/30/2015(FRI): Midterm 1.
11/4/2015(WED): Finish classification on extrema.
11/6/2015(FRI): Curve sketching.
11/11/2015(WED): No class (university anniversary).
11/13/2015(FRI): Finish curve sketching.
11/18/2015(WED): Linear approximations, max/min problems, introduction to integration.
11/20/2015(FRI): Some computations on integration.
11/25/2015(WED): The fundamental theorem of calculus and basic properties.
11/27/2015(FRI): Indefinite integrals, particle motion.
12/2/2015(WED): Area by slices, volume by cross sections, volume by revolutions.
12/4/2015(FRI): Volume by shells.
12/9/2015(WED): Introduction to inverse functions, derivatives of inverse functions.
12/11/2015(FRI): Introduction to natural log and exponential functions.
12/16/2015(WED): Calculus of ln x and e^x, arbitrary base and powers.
12/18/2015(FRI): Midterm 2.
12/23/2015(WED): Exponential growth/decay, hyperbolic functions, integration by parts.
12/25/2015(FRI): Powers of trignometric functions.
12/30/2015(WED): Trigonometric substitutions, partial fractions.
Homework Assignments
All problems, unless otherwise stated, are from Salas.
- Homework 0 (Due Friday, September 19):
See Handout "Precal Diagnosis" below.
- Homework 1 (for Week 1):
Section 1.5: 12, 18, 22, 30, 44, 46, 48.
Section 1.7: 6, 12, 28, 30, 34.
Solutions
- Homework 2 (for Week 2):
Section 2.1: 1, 2, 6, 12, 24, 36, 42.
Section 2.3: 20, 25, 26, 27, 28, 38, 42, 52, 53.
Solutions
- Homework 3 (for Week 3):
Section 2.4: 8, 12, 22, 36, 42.
Section 2.5: 6, 8, 14, 22, 32(use 31), 36, 43, 44.
Section 2.6: 4, 12, 25, 28.
Solutions
- Homework 4 (for Week 4):
Section 3.1: 14, 20, 22, 24, 30, 35, 41, 44, 46.
See here
for solutions.
- Homework 5 (for Week 5):
Section 3.2: 6, 12, 20, 24, 30, 32, 36, 40, 44, 50.
Section 3.3: 8, 18, 26, 30, 40, 50, 53, 60, 64.
Section 3.4: 2, 10, 12, 16.
Section 3.5: 16, 20, 24, 26.
See here
for solutions.
- Homework 6 (for Week 6):
Section 3.6: 6, 18, 22, 32, 50, 70.
Section 3.7: 12, 22, 26, 32, 56.
Section 4.1: 14, 20, 24.
See here
for solutions.
- Homework 7 (for Week 7):
Section 4.2: 6, 16, 24, 34, 42(don't sketch f), 56.
Section 4.3: 6, 18, 24, 31, 38.
- Homework 8 (for Week 8):
Section 4.4: 6, 14, 22, 28, 32, 34.
Section 4.6: 2, 4, 10, 14, 28, 42.
Section 4.8: 6, 14, 30, 51.
See here
for solutions.
- Homework 9 (for Week 10):
Section 4.5: 12, 15, 22, 33, 59, 62.
Section 4.11: 11, 12, 17.
Section 5.2: 10,23.
See here
for solutions.
- Homework 10 (for Week 11):
Section 5.3: 2, 18, 22, 29, 36.
Section 5.4: 4, 8, 24, 32, 46.
Section 5.5: 8, 10, 12, 24.
See here
for solutions.
- Homework 11 (for Week 12):
Section 5.6: 12, 24, 30, 36, 39.
Section 5.7: 8, 12, 20, 26, 29, 35, 46, 62, 73.
Section 6.1: 6, 12, 22, 36.
Section 6.2: 6, 14, 16, 24, 34, 40.
See here
for solutions.
- Homework 12 (for Week 13):
Section 6.3: Section 6.3: 6, 10, 16, 22.
Section 7.1: 6, 12, 18, 36, 44, 52.
Section 7.2: 20, 22.
See here
for solutions.
- Homework 13 (for Week 14):
Section 7.6: 8, 14, 20.
Section 7.8: 2, 6, 16, 23.
Section 7.9: 4, 10, 13.
Section 8.2: 6, 12, 20, 32, 34, 38.
- Homework 14 (for Week 15,16):
Section 8.3: 6, 14, 24, 53, 54.
Section 8.4: 8, 16, 24, 34, 40.
Section 8.5: 6, 12, 22, 34.
Exams
Handouts
Precal Diagnosis