Math 408C, Fall Semester 2014
Differential and Integral Calculus
Unique Numbers # 54980 / # 54985 and # 55050 / # 55055.
Instructor: Thomas Chen
Office: RLM 12.138.
Office hours: TTH 2:00-2:50 PM
Email: t c A_T m a t h . u t e x a s . e d u
Teaching Assistants:
Rebecca Huizinga, Yuan Yan
M408C classes meet three hours per week for lectures, and two hours per week for problem sessions.
First day handout
Lectures:
-
Unique # 54980 / # 54985: TTH 9:30 AM - 11:00 PM in
RLM 4.102.
-
Unique # 55050 / # 55055: TTH 12:30 PM - 2:00 PM in
WAG 101.
TA sessions (starting 9/3/2014):
-
Unique # 54980: MW 8 - 9 AM in
CPE 2.206
TA: Yuan Yan.
These sessions will include some Engineering Labs, on 11/3 and 11/24.
-
Unique # 54985: MW 4 - 5 PM in
SZB 330
TA: Yuan Yan.
These sessions will include some Engineering Labs, on 11/3 and 11/24.
-
Unique # 55050: MW 8 - 9 AM in
CPE 2.212
TA: Rebecca Huizinga
-
Unique # 55055: MW 12 - 1 PM in
SZB 330
TA: Rebecca Huizinga
TA office hours
@ CalcLab.
COURSE DESCRIPTION AND PREREQUISITES
The syllabus for M408C includes most of the basic topics in the theory of functions of a real variable:
Algebraic, trigonometric, logarithmic and exponential functions and their limits, continuity, derivatives, maxima and minima, integration, area under a curve, and volumes of revolution.
For information on prerequisites, please see
here.
For important dates, please see the
academic calendar.
This website will be updated frequently. Please check regularly.
SYLLABUS
Textbook:
Stewart Calculus, Early Transcendentals, Seventh Edition.
It is available at the
University Co-op for 99 USD, including eBook access.
The numbering below corresponds to chapters in the textbook.
This schedule is tentative, and may change.
It is your responsibility to keep track of any changes as the semester progresses.
- 1. Functions and Models (Two lectures: August 28. September 2)
- 1.5 Exponential Functions
- 1.6 Inverse Functions and Logarithms
- 2. Limits and Rates of Change (Four Lectures: September 2, 4, 9, 11)
- 2.1 The Tangent and Velocity Problems
- 2.2 The Limit of a Function
- 2.3 Calculating Limits Using the Limit Laws
- 2.4 The Precise Definition of a Limit
- 2.5 Continuity
- 2.6 Limits at Infinity; Horizontal Asymptotes
- 2.7 Derivatives and Rates of Change
- 2.8 The Derivative of a Function
- 3. Differentiation Rules (Six Lectures: September 16, 18, 23.
October 2, 7, 9)
- 3.1 Derivatives of Polynomials and Exponential Functions
- 3.2 The Product and Quotient Rules
- 3.3 Derivatives of Trigonometric Functions
- 3.4 The Chain Rule
- 3.5 Implicit Differentiation
EXAM I on September 30 (review on September 25).
- 3.6 Derivatives of Logarithmic Functions
- 3.7 Rates of Change in the Natural and Social Sciences
- 3.8 Exponential Growth and Decay
- 3.9 Related Rates
- 3.10 Linear Approximations and Differentials
- 3.11 Hyperbolic Functions
- 4. Applications of Differentiation (Six Lectures: October 14, 16, 21, 23, 28, 30)
- 4.1 Maximum and Minimum Values
- 4.2 The Mean Value Theorem
- 4.3 How Derivatives Affect the Shape of a Graph
- 4.4 Indeterminate Forms and L'Hopital's Rule
- 4.5 Summary of Curve Sketching
- 4.7 Optimization Problems
- 4.9 Antiderivatives
- 5. Integrals (Four Lectures: November 4, 6, 11, 13)
- 5.1 Areas and Distances
- 5.2 The Definite Integral
- 5.3 The Fundamental Theorem of Calculus
- 5.4 Indefinite Integrals and the Net Change Theorem
- 5.5 The Substitution Rule
EXAM II on November 20 (review on November 18)
- 6. Applications of Integration (Three Lectures: November 25. December 2, 4)
- 6.1 Areas between Curves
- 6.2 Volumes
- 6.3 Volumes by cylindrical shells (optional)
- 6.4 Work (optional)
- 6.5 Average value of function (optional)
We will discuss a selection of topics marked as "optional", but not all of them.
FINAL EXAM, according to the
University final exam schedule,
details see below.
Participation at lectures and TA sessions is required.
There will be random attendance checks.
In addition, you can find video lectures on the topics above at the UT Calculus page:
Part I and
Part II
(they also include topics that we do not treat in this course).
HOMEWORK
There will be weekly homework assignments posted on
Quest.
To submit, you must enter your answers in Quest.
The usual format will be multiple choice.
Quest will immediately tell you if your answer is correct or not.
You are allowed multiple tries, but there will be a reduction of points after each
unsuccessful attempt.
-
HW 1: Posted on 8/28 at 5PM.
Due on Wednesday, 9/10 at 11:59 PM on
Quest.
Problems 1-20 are mostly about limits. Problems 21-30 are about exponential and logarithmic functions (you can do those first before we start talking about limits).
This HW assignment is longer than usual because there is more time available to
work on it.
-
HW 2: Posted on 9/10 at 11PM.
Due on Wednesday, 9/17 at 11:59 PM on
Quest.
-
HW 3: Posted on 9/17 at 10:35PM.
Due on Wednesday, 9/24 at 11:59 PM on
Quest.
-
HW 4: Posted on 10/2 at 00:45AM.
Due on Wednesday, 10/8 at 11:59 PM on
Quest.
-
HW 5: Posted on 10/7 at 00:45AM.
Due on Wednesday, 10/15 at 11:59 PM on
Quest.
-
HW 6: Posted on 10/16 at 00:55AM.
Due on Wednesday, 10/22 at 11:59 PM on
Quest.
-
HW 7: Posted on 10/23 at 11:10AM.
Due on Wednesday, 10/29 at 11:59 PM on
Quest.
-
HW 8: Posted on 10/29 at 8:55 PM.
Due on Wednesday, 11/5 at 11:59 PM on
Quest.
-
HW 9: Posted on 11/5.
Due on Wednesday, 11/12 at 11:59 PM on
Quest.
-
HW 10: Posted on 11/26.
Due on Thursday, 12/4 at 11:59 PM on
Quest.
There will be absolutely no acceptance of any late submissions.
The deadlines posted on Quest are definite, and sharp to the minute.
Usually, the homework will be due at 11:59 PM (one minute before midnight) on Wednesdays.
CalcLab is an "office hour pool". It is a space that will operate for twenty-five hours per week, from 2 PM until 7 PM Monday through Friday, starting on September 2, 2014.
It will always be staffed by several TAs and LAs (undergraduate Learning Assistants).
Students from any calculus class can come to CalcLab whenever it is open, to get assistance with homework, test preparation, etc.
CalcLab schedule (with a few exceptions announced
here):
The room has a large capacity, and will be equipped with multiple black/white-boards, spaced out so that several separate groups of students can do board work simultaneously.
TUTORING
The UT Learning Center offers tutoring services to calculus students. Some resources are posted online on their
webpage.
UTLC also offers Drop-In Tutoring, a free, walk-in study environment supported by mathematics tutors.
Additionally, they offer appointment tutoring, consisting of one hour, individualizing tutoring sessions for a fee.
For detailed information, please see
here.
There will be two in-class exams on the following dates, during regular class hours:
-
EXAM I on September 30, 2014.
-
EXAM II on November 20, 2014.
Please save these dates, there will absolutely be no make-up exams !
Should you miss a midterm exam, your grade for the final exam will be used for it. However, this policy does not apply retroactively (the final does not replace a midterm that you did submit).
The final exam is
scheduled by the University. Please note that the dates depend on the
unique numbers !
-
FINAL EXAM Unique # 54980 / # 54985,
Wednesday, December 10, 9:00-12:00 noon.
Location: RLM 4.102.
-
FINAL EXAM Unique # 55050 / # 55055, Tuesday, December 16, 9:00-12:00 noon.
Location: WAG 101.
It is implicit in your registration for this class that, barring some unforeseen calamity,
you affirm to be present to take the final examination at this time.
For all exams, the format is multiple choice with no partial credits.
GRADING
The class grade will be determined as follows:
-
Unique # 54980 / # 54985:
-
Homework and Engineering Lab: 10 percent
-
Exam 1: 25 percent
-
Exam 2: 25 percent
-
Final Exam: 40 percent
-
Unique # 55050 / # 55055:
-
Homework: 10 percent
-
Exam 1: 25 percent
-
Exam 2: 25 percent
-
Final Exam: 40 percent
The letter grades are distributed as follows:
A, A-, B+, B, B-, C+, C, C-, D, F
SERVICES AND SUPPORT
The University of Texas at Austin provides upon request appropriate academic accommodations
for qualified students with disabilities.
For more information, contact the Office of the Dean of Students at 471-6259, 471-4641 TTY.
Moreover, should you or a fellow student become very stressed and overwhelmed, please consider contacting the following service:
Counselling and Mental Health Center
Student Services Bldg (SSB), 5th Floor
Hours: M--F 8am--5pm
Phone: (512) 471 3515
www.cmhc.utexas.edu