MATH 180: ELEMENTS OF CALCULUS I
University
of New Mexico, Spring 2015
Instructor: Janet Vassilev
Webpage: http://math.unm.edu/~jvassil
Phone: 2772214
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:
ISBN10: 1133607713 ISBN13: 9781133607717
UNM Custom Edition Softcover for Math 180 only: ISBN10:
130502608X ISBN13: 9781305026087
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 23 hours of homework for
every hour of class meeting time (on average 69 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 inclass and announced, but occasionally there may be a
pop quiz. No makeup 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 inclass 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 4^{th}
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, wellstructured 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 
2.4 111 odd, 1739 odd 
1/14 
2.4 
Limits 
2.4 4165 odd, 7379 odd, 83, 8992 all 
1/16 
2.5 
One Sided Limits 
2.5 137 odd, 8791, 93, 94, 96 
1/21 
2.5 
Continuity and Quiz 1 (Sections 2.42.5) Solutions 
2.5 4157, 73 
1/23 
2.6 
The Derivative 
2.6 525 odd, 31, 35, 47, 49, 5559 all 
1/26 
3.1 
Basic Rules of Differentiation 
3.1 135 odd, 4147 odd, 51, 57, 59, 61 
1/28 
3.2 
Product and Quotient Rules and Quiz 2 (Sections 2.6 and 3.1) Solutions  3.2 125 odd, 3137 odd 
1/30 
3.3 
The Chain Rule 
3.2 43, 47, 53 and 3.3 527 odd, 57, 59, 61 
2/2 
3.3 
The Chain Rule 
3.3 2949 odd, 67, 75 
2/4 
3.4 
Marginal Functions in Economics and Quiz 3 (Sections 3.2 and 3.3) Solutions  3.4 113 odd, 10, 12 
2/6 
3.5 
Higher Order Derivatives 
3.5 323 odd, 2937 odd 
2/9 
3.6  Implicit Differentiation  3.6 933 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 2.43.3)  
2/16 
Exam 1 Solutions  
2/18 
3.7  Differentials and Quiz 5 (Sections 3.6) Solutions  3.7 123 odd 
2/20 
4.1 
Increasing/Decreasing functions 
4.1 17 odd, 1135 odd 
2/23 
4.1 
Relative extrema and the First Derivative Test 
4.1 3741 odd, 5965 odd 
2/25 
4.2 
Concavity and Quiz 6 (Sections 3.7 and 4.1) Solutions  4.2 111 odd, 1519 odd, 2947 odd 
2/27 
4.2 
Snow Day 

3/2 
4.2 
The Second Derivative Test  4.2 5375 odd 
3/4 
4.3 
Curve Sketching and Quiz 7 (Sections 4.2) Solutions  4.3 325 odd, 3343 odd 
3/6 
4.3 
Curve Sketching 
4.3 4557 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 17 odd, 1527 odd, 3135 odd 
3/20 
Review (Sections 3.44.2)  
3/23 
Exam 2 Solutions  
3/25 
4.5 
Optimization word problems and Quiz 9 (Section 4.4) Solutions  4.4 4549 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 
5.4 137 odd; 5.5 143 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  6.1 159 odd, 65, 67, 73, 83 
4/6 
6.2 
Substitution 
6.2 123 odd, 5161 odd 
4/8 
6.2 
Substitution and Quiz 11 (Section 5.4, 5.5, 6.16.2) Solutions  6.2 2549 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 1317 odd 
4/15 
Review (Sections 4.36.2) and Quiz 12 (Sections 6.2 and 6.3) Solutions  
4/17 
Exam 3 Solutions  
4/20 
6.4 
The Fundamental Theorem of Calculus  6.4 339 
4/22 
6.5 
Evaluating Definite Integrals and Quiz 13 (Sections 6.4) Solutions  6.5 143, 61 
4/24 
6.6 
Area between two curves  6.6 113 odd, 1723 odd, 3539 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 