Math 180, CALCULUS 1---Spring 2008

Instructor: Dimiter Vassilev Office : Humanities Bldg, Office 447 Email: vassilev@unm.edu

Office Hours: TTh 8:00-9:00, W 13:00-14:00 Phone Number: 505 277 2136

Calculator: Not required. Graphing Calculators are NOT allowed on any in-class exam.

Text: Calculus & Its Applications, Eleventh Edition, by Goldstein, Lay, et al.

Please note the following guidelines for the course:

- Grades: Your grade will be based on your performance on the following assignments and exams. Your instructor may also give short in-class quizzes and special homework assignments that will contribute to your grade. To receive a C grade for this course you must have a passing grade on the core final exam and a passing grade overall.

Quizzes and Assignments 100 points

3 in-class tests 300 points

Final Exam 200 points

Total 600 points

Homework: Homework is due every Thursday. There will be one HW a week. You are encouraged to work together on the homework, but you do need to write up your own solutions in your own words (yes, please include words in your write-up!). To help the grader, please write your solutions up

neatly and clearly (no points for work that the reader cannot follow- this is true for exams), and box your answers. Note that you will lose points if your work is inconsistent with your answer. An incorrect answer consistent with your work is worth more than a correct number, which is inconsistent with your work.

The syllabus lists also recommended homework problems. These are NOT to be handed in. 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 your instructor or get tutoring. The problems used on exams and quizzes are based on these homework problems. Work as many as it takes for you to understand the material.

- Attendance is mandatory, and if you have three or more unexcused absences, you may be dropped from the course. NOTE: it is YOUR responsibility to drop the course if you decide to stop attending. The syllabus contains bold-print notices that give the deadlines for dropping the course or making other changes.

- Missed Exams: If you miss an exam, contact your instructor immediately and provide a note (hardcopy or email) explaining your reason. Provide enough detail so that the instructor can check your excuse. Make-up tests will only be given if your excuse is valid. “I wasn’t ready for it” is not a valid excuse. Be aware that make-up exams are more difficult than the original exam. No exam scores will be dropped. Graphing Calculators are NOT allowed on any in-class exam. A note card can be used only on the final exam.

- Student Behavior: Students are expected to behave in a courteous and respectful manner towards the instructor and their fellow students. Please be on time for your lectures, turn off your cell-phone and refrain from talking or doing any other activity that could be disruptive to the class. If you need to leave the class early, inform your instructor before the lecture starts.

- Disability Statement: We will accommodate students with documented disabilities. During the first two weeks of the semester, those students should inform the instructor of their particular needs and they should also contact Accessibility Services in Mesa Vista Hall, Room 2021, phone 277-3506. In addition, they should see CATS- Counseling and Therapy Services; Student Health Center (277-4537). (They can help if you suffer from exam anxiety).

- Academic support and tutoring: Center for Academic Program Support (CAPS) on 3rd floor Zimmermann Library (277-4560) or at the Calculus Table, 3^rd floor of Dane Smith Hall near the elevator, Monday through Friday, 9am - 2pm. In addition, the course Math 110 (1 unit/CR-NC) is a free optional course that is designed specifically for Math 180 students with algebra deficiencies. HIGHLY RECOMMENDED.

For the most current information about syllabi, calculator tutorials, and sample exams, please check our http://www.math.unm.edu/courses/math180/index.php

Math 180 Syllabus (tentative) – Spring 2008 Please check after class as advanced postings of homework could change.

week of

Recommended Homework Problems (do NOT hand in)

(NOTE: The list below refers to the Exercises at the end of each Section.)

Topics Covered

Due Homework – turn in the next Thursday

(Th & T due Th after the T)

Jan 21

Monday Jan. 21 is the Dr. M. L. King Holiday--NO CLASSES

Algebra Review #1: Functions, functional notation, graphs of basic power functions, domain, range, intercepts, asymptotes

1.1 Slope of a Straight Line/Linear functions--#1 - 66

Algebra Review 1

Preliminary test

Functions

Straight Lines

HW #1 (Due Th. Jan. 31)

Th:§1.1/ 2,8,10,14,16,20,22,24,46,50,54,64

§1.3/ 2,6,10,14,18,22,24,26,30,32,38,42

T:§1.3/ 50,54,68,70,72

Jan 28

1.2 Slope of a Curve at a Point--#1 – 38

1.3 The Derivative(Part 1)--#1 – 48

1.4 Limits and the Derivative--1 - 48 and 61 - 72

NOTE: Friday Feb. 1 is the last day to add courses or change sections.

Quiz #1

Graphs/Slopes and

Derivatives

Derivatives/Limits

HW #2 (Due Th. Feb. 7)

Th:§1.4/ 2,4,8,16,20,22,24,36,44,46,54,58,60,66,70

T: §1.5 / 2,3,6,10,12,16,18,28,32

§1.6 /4,6,14,20,26,38

Feb 4

1.5 Differentiability and Continuity--1 - 26 and 29 - 32

1.6 Rules for Differentiation--1 - 60

Differentiability and

Continuity

Differentiation rules

HW #3 (Due Th. Feb. 14)

Th:§1.6 /39, 41, 42, 44, 52, 54, 58, 59, 64

T:§1.7 /2,8,20,22,25,26,28,38,41

Feb 11

1.7 More about Derivatives-- 1 - 42

1.8 Derivative as a Rate of Change--1 - 32

Review for Exam 1 Practice Exam

NOTE: Friday Feb. 15 is the last day to change grading options

Second Derivative

Marginal Functions

HW #4 (Due Th. Feb. 21)

Th:§1.8/6,7,8,12,18

T: EXAM 1 (February 19)

Feb 18

T: EXAM 1: Sections 1.1-1.8

2.1 Describing Graphs of Functions--1 - 40

Rates of Change

Review for Exam 1

EXAM 1

Describing Graphs of Functions

HW #5 (Due Th. Feb. 28)

Th: §2.1/2,3,5, 11,20,26,29,36,38,40

T: §2.2/6, 8, 14, 22, 24, 42 §2.3/2, 4, 18, 26

Feb 25

2.2 First and Second derivative Rules--1 - 44

Algebra Review #3: Solving algebraic equations for x.

2.3 Curve Sketching--1 thru 32 and 35 - 44

2.4 More Curve Sketching--1 - 36

NOTE: Friday Feb. 29 is the last day to drop a course without a grade.

Algebra Review 3

1^st & 2^nd derivative rules and curve sketching

HW #6 (Due Th. Mar. 6)

Th: §2.3/ 28, 30, 40, 46 §2.4/ 12, 16, 28, 38

T: §2.5/ 3,6, 12, 16, 18, 24, 30

Mar 3

2.5 Optimization--1 - 25

2.6 Further optimization problems--11 - 14, 16 - 18

2.7 Derivatives in Business and Economics--1 - 17

Curve sketching

Optimization

Business applications

HW #7 (Due Th. Mar. 13)

Th: §2.6/ 4, 8, 10, 14, 16, 22

§2.7/ 2, 6, 10, 12, 14, 16

T: §3.1/ 2,4,8,16,20,22,24,30,36,44

Mar 10

Algebra Review #4: Factoring and simplifying algebraic expressions

3.1 Product and Quotient Rules--5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 37, 39, 41, 43, 59, 61, 65

3.2 Chain Rule--13, 15, 19, 21, 25, 29, 31, 37, 39, 41, 43, 45, 47, 49, 53, 59

3.3 Implicit differentiation and related rates--3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 33, 37, 39, 43, 45, 47

Algebra Review 4

Product/Quotient/

Chain rule

Implicit differentiation and related rates

HW #8 (Due Th. Mar. 27)

Th: §3.2/13, 19, 21, 25, 30, 31, 38, 43, 45, 47, 49, 53, 59

T: §3.3/3, 8, 19, 20, 24, 34, 37, 38, 43, 45

Mar 17

SPRING BREAK 3/17 - 3/23 NO CLASSES

Mar 24

3.3 Implicit differentiation and related rates

Review for Exam 2

Implicit derivative and Related Rates

Review for Exam 2

Mar 31

Th: Exam 2: 2.1 - 3.3 (Omit 2.6) on April 3 (Practice Problems on WebCT)

EXAM 2

HW #9 (Due April 10)

Th: exam day

T: §4.1/ 6, 14 §4.2/ 4, 14, 20, 26, 28, 30, 36, 42

§4.3/ 2, 8, 20, 30, 42

Apr 7

Algebra Review #5: Algebra of exponents

4.1 Exponential Functions--1-42

4.2 The Function e^x -- 1-44

4.3 Derivatives of Exponential Functions -- 1 - 44

4.4 Natural Logarithm Function--1-42

4.5 The Derivative of ln x-- 1 - 36

4.6 Properties of the Natural Logarithm Function -- 1 - 54

Algebra Review 5

Exponential Functions

And Derivatives

Natural Logarithms, Derivatives, and Properties

HW #10 (Due April 17)

Th: §4.4/10, 14, 26, 30 §4.5/2, 4, 8, 16, 20, 34

§4.6/2, 6, 20, 34, 52

T: §5.1/2, 6, 8, 14, 28

Apr 14

5.1 Exponential Growth and Decay--1-11 and 13-22

5.2 Compound Interest -- 1 - 18

5.4 Other Exponential Models (pages 303-308 only, Examples 1-3)--1 - 7, 11-12

NOTE: Friday Apr. 18 is the last day to withdraw from the course without Dean’s approval. Grade of WP or WF is required.

Growth and Decay

Compound Interest and other Exp. Models

HW #11 (Due April 24)

Th: §5.2/2, 4, 10, 14, 20 §5.4/4, 7, 9, 12

T: §6.1/ 2, 4, 6, 8, 10, 14, 18, 22, 24, 26, 30, 38, 56, 60

Apr 21

6.1 Antidifferentiation--1-48

6.2 Areas and Riemann sums -- 1 - 10

6.3 Definite Integrals and the Fundamental Theorem -- 1 - 50

Antidifferentiation

Areas

Fundamental Theorem

HW #12 (Due Tuesday April 29)

Th: §6.2/ 16

§6.3/ 2, 4, 8, 10, 12, 16, 18, 24, 3034, 38, 40, 42

T: Review for Exam 3

Apr 28

T: REVIEW FOR EXAM 3 – practice problems on WebCT.

Th: EXAM 3 May 1st

Review for Exam 3

EXAM 3

May 5

REVIEW

Note: Friday May 9 is last day to withdraw with Dean’s approval

REVIEW FOR FINAL

MAY 12

FINAL EXAM 0730-0930 AM in regular class room

FINAL EXAM