MATH 180: ELEMENTS OF CALCULUS I
University
of New Mexico, Spring 2015
Instructor: Janet Vassilev
Webpage: http://math.unm.edu/~jvassil
Phone: 277-2214
Office: SMLC 324
Textbook:
APPLIED CALCULUS for the Managerial, Life and
Social Sciences, Ninth Edition, Brooks / Cole 2014, S. T. Tan
Hardcover for both Math 180 and Math 181:
ISBN-10: 1-133-60771-3 ISBN-13: 978-1-133-60771-7
UNM Custom Edition Softcover for Math 180 only: ISBN-10:
1-305-02608-X ISBN-13: 978-1-305-02608-7
Calculator:
Calculators will not be allowed on any
of the exams. A scientific calculator
may be necessary for some homework assignments or quizzes.
Homework:
Your daily homework is your most important
effort in this course. It is imperative
that you do all of the assigned problems, especially the hard ones, because
this is how you actually learn the material. Expect 2-3 hours of homework for
every hour of class meeting time (on average 6-9 hours per week). Keep all of your homework together in a folder
so that if you are having trouble in the course, you can bring it with you when
you go to see me or get tutoring.
Quizzes: There will be weekly quizzes. The quiz problems will be very similar to the
homework problems, if not the same. Most
of the quizzes will be in-class and announced, but occasionally there may be a
pop quiz. No make-up quizzes will be
given, even if you have an excused absence. The two lowest quiz scores will be dropped at
the end of the semester.
Exams:
There will be three in-class exams, 100 points
each. You have to show all your work and
use proper mathematical notation to receive full credit. A correct answer without work will receive no more than 1
point. I do not give make up exams. If
you are ill or have some form of excused absence, you must
contact me on or before the day of the exam in order to have your final
grade calculated without this test. I typically replace the score
for this exam by your average on the final.
Final
Exam: The final exam,
comprehensive and worth 200 points, will be held on Monday, May 4th
between 7:30 am and 9:30 am. The
location of the exam will be announced near the end of the semester.
Important
Note: Notes of any kind, 3x5 cards, books, cell phones,
computers, headphones etc. are not allowed on any tests, including the Final
Exam.
Grading: To get full credit on graded work, students
must address all mathematical components presented by the problem, showing all
steps and calculations. The use of
proper notation, well-structured procedures, and legibility will be taken into account
when assigning points. Your grade will
be determined based on your performance on the following:
Quizzes | 100 Points |
Exams | 300 Points |
Final Exam |
200 Points |
Total | 600 Points |
Date |
Sections |
Topic sand Events |
Homework |
1/12 |
2.4 |
Limits |
2.4 1-11 odd, 17-39 odd |
1/14 |
2.4 |
Limits |
2.4 41-65 odd, 73-79 odd, 83, 89-92 all |
1/16 |
2.5 |
One Sided Limits |
2.5 1-37 odd, 87-91, 93, 94, 96 |
1/21 |
2.5 |
Continuity and Quiz 1 (Sections 2.4-2.5) Solutions |
2.5 41-57, 73 |
1/23 |
2.6 |
The Derivative |
2.6 5-25 odd, 31, 35, 47, 49, 55-59 all |
1/26 |
3.1 |
Basic Rules of Differentiation |
3.1 1-35 odd, 41-47 odd, 51, 57, 59, 61 |
1/28 |
3.2 |
Product and Quotient Rules and Quiz 2 (Sections 2.6 and 3.1) Solutions | 3.2 1-25 odd, 31-37 odd |
1/30 |
3.3 |
The Chain Rule |
3.2 43, 47, 53 and 3.3 5-27 odd, 57, 59, 61 |
2/2 |
3.3 |
The Chain Rule |
3.3 29-49 odd, 67, 75 |
2/4 |
3.4 |
Marginal Functions in Economics and Quiz 3 (Sections 3.2 and 3.3) Solutions | 3.4 1-13 odd, 10, 12 |
2/6 |
3.5 |
Higher Order Derivatives |
3.5 3-23 odd, 29-37 odd |
2/9 |
3.6 | Implicit Differentiation | 3.6 9-33 odd |
2/11 |
3.6 | Related Rates and Quiz 4 (Sections 3.4 and 3.5) Solutions | 3.6 35- 41 odd, 51, 55, 59, 62 |
2/13 |
Review (Sections 2.4-3.3) | ||
2/16 |
Exam 1 Solutions | ||
2/18 |
3.7 | Differentials and Quiz 5 (Sections 3.6) Solutions | 3.7 1-23 odd |
2/20 |
4.1 |
Increasing/Decreasing functions |
4.1 1-7 odd, 11-35 odd |
2/23 |
4.1 |
Relative extrema and the First Derivative Test |
4.1 37-41 odd, 59-65 odd |
2/25 |
4.2 |
Concavity and Quiz 6 (Sections 3.7 and 4.1) Solutions | 4.2 1-11 odd, 15-19 odd, 29-47 odd |
2/27 |
4.2 |
Snow Day |
|
3/2 |
4.2 |
The Second Derivative Test | 4.2 53-75 odd |
3/4 |
4.3 |
Curve Sketching and Quiz 7 (Sections 4.2) Solutions | 4.3 3-25 odd, 33-43 odd |
3/6 |
4.3 |
Curve Sketching |
4.3 45-57 odd |
3/16 |
4.3 |
Curve Sketching |
Review all curve sketching problems |
3/18 |
4.4, 4.5 |
Optimization word problems and Quiz 8 (Sections 4.4) Solutions | 4.4 1-7 odd, 15-27 odd, 31-35 odd |
3/20 |
Review (Sections 3.4-4.2) | ||
3/23 |
Exam 2 Solutions | ||
3/25 |
4.5 |
Optimization word problems and Quiz 9 (Section 4.4) Solutions | 4.4 45-49 odd, 61; 4.5 1, 3, 7, 11 |
3/27 |
4.5 |
Optimization word problems continued |
4.5 5, 9, 13, 17, 25 |
3/30 |
5.4, 5.5 |
Limits and Differentiation of Exponential and Logarithmic Functions |
5.4 1-37 odd; 5.5 1-43 odd |
4/1 |
Review and Quiz 10 (Sections 4.5) Solutions | Review word problems making sure to justify your work! |
|
4/3 |
6.1 |
Antiderivatives | 6.1 1-59 odd, 65, 67, 73, 83 |
4/6 |
6.2 |
Substitution |
6.2 1-23 odd, 51-61 odd |
4/8 |
6.2 |
Substitution and Quiz 11 (Section 5.4, 5.5, 6.1-6.2) Solutions | 6.2 25-49 odd |
4/10 |
6.3 |
Area and the Definite Integral | 6.3 1- 7 odd |
4/13 |
6.3 | Area and the Definite Integral | 6.3 13-17 odd |
4/15 |
Review (Sections 4.3-6.2) and Quiz 12 (Sections 6.2 and 6.3) Solutions | ||
4/17 |
Exam 3 Solutions | ||
4/20 |
6.4 |
The Fundamental Theorem of Calculus | 6.4 3-39 |
4/22 |
6.5 |
Evaluating Definite Integrals and Quiz 13 (Sections 6.4) Solutions | 6.5 1-43, 61 |
4/24 |
6.6 |
Area between two curves | 6.6 1-13 odd, 17-23 odd, 35-39 odd |
4/27 |
Review |
||
4/29 |
Review and Quiz 14 (Sections 6.5 and 6.6) Solutions | ||
5/1 |
Review |
||
5/4 |
The Final (Mitchell 120) |
7:30 am |