Syllabus

Course title/number, number of credit hours

Course Title: Calculus with Analytic Geometry 1

Term: Summer, 2015 Classroom location: ED123 TTh 3;00-5:10pm

Is this an online course: Yes ___ or No _x__ Credit hours 4

CRN(optional): 60023 Course number: MAC 2311 004

Course prerequisites or corequisites

Undergraduate level MAC 1140 Minimum Grade of C or Graduate level MAC 1140 Minimum Grade of C and Undergraduate level MAC 1114 Minimum Grade of C or Graduate level MAC 1114 Minimum Grade of C) or (Undergraduate level MAC 1147 Minimum Grade of C or Graduate level MAC 1147 Minimum Grade of C) or ALEKS- Total Score 65 Undergraduate level MAC 1140 Minimum Grade of C or Graduate level MAC 1140 Minimum Grade of C and Undergraduate level MAC 1114 Minimum Grade of C or Graduate level MAC 1114 Minimum Grade of C) or (Undergraduate level MAC 1147 Minimum Grade of C or Graduate level MAC 1147 Minimum Grade of C) or ALEKS- Total Score 65Course number: MAC 1140

Pre-requisites Course Title: Precalculus Algebra

Course number MAC 1114

Prerequisites Course Title: Trigonometry

--or--

Course number: MAC 1147

Pre-requisites Course Title: Precalculus Algebra and Trigonometry

--or—

ALEKS score of 65

Permission of the instructor is required:

Yes ___ or No _x__

Instructor contact information

Instructor: Frederick Hoffman Office: SE 212A

Office Hours: TTh 1:45-2:45pm Office Phone: (561) 297-3345

E-mail Address:

TA contact information (if applicable) N/A

Course description

Description: Topics include continuity, differentiability, differential approximation, optimization, curve sketching, transcendental and inverse functions, mean value theorem, l'Hospital's Rule, introduction to integration and development of problem-solving skills.

http://www.fau.edu/deanugstudies/NewGeneralEdCurriculum.php.

Objectives, Learning Outcome Goals: Upon successful completion of the course the student will be

able to solve problems in the following areas and achieve the quantitative skills required for courses

requiring calculus 1:

· Limits

· Continuity

· Differentiation

· Curve sketching

· Transcendental and inverse functions

· The Mean Value theorem

· L’Hôpital’s rule

· Related rates and related rates problems

· Optimization problems

· Introduction to integration, including the Fundamental Theorem of Calculus.

· The application of mathematical modeling to other disciplines and real-world problems using a

variety of functions.

IFP General Education Outcomes:

1. Knowledge in several different disciplines;

2. The ability to think critically;

3. The ability to communicate effectively;

4. An appreciation for how knowledge is discovered, challenged, and transformed as it advances;

and

5. An understanding of ethics and ethical behavior.

Information available at http://www.fau.edu/deanugstudies/NewGeneralEdCurriculum.php

General Education: This course satisfies, in part, the general education requirements for Foundations of Mathematics and Quantitative Reasoning.

http://www.science.fau.edu/student_services/student_info_gen_edu.php.

Course topical outline

Date / Topic / HW Assignments
May 12 / 2.1 Tangent and velocity problems
2.2 The limit of a function
2.4 Precise definition of limit / 2.1: 5,6
2.2: 4- 6, 8,11,14, 23,29-31, 36,38
2.4: 2, 13
May 14 / 2.3 Using the limit laws
2.5 Continuity / 2.3: 1,3, 5-7, 9-11, 13,18,22,23, 25, 26, 29-30 , 32-33 (c),41, 62, 63
2.5:3,4,17,20,23,31,35,41,49,55,56
May 19 / 2.6 Limits at infinity; asymptotes
2.7 Derivatives; rates of change / 2.6: 13-15, 20,23,25-27,33-4, 57
2.7: 5,10,17-8, 26-29, 31,33, 35-6
May 21 / 2.8 The derivative as a function
3.1 Polynomials and exponentials / 2.8: 3, 25, 26, 27, 29, 30
3.1: 7, 10, 19, 23, 27, 28, 30, 31, 38, 51, 52, 53, 56, 57, 64, 71
May 26 / 3.2 Product and quotient rules
3.3 Trigonometric functions / 3.2: 1, 3, 7, 8, 11, 14, 22, 24, 31, 33, 35(a), 36(a), 43, 55
3.3: 1,2, 10, 11, 14, 17-19, 22, 25(a), 39, 40, 42-3, 45, 47, 48, 52
May 28 / 3.4 The chain rule / 3.4: 1, 4, 7, 10, 16, 17, 21, 22, 29, 35, 45, 57(a)
June 2 / Review
June 4 / Test 1
June 9 / 3.5 Implicit differentiation
3.6 Logarithmic functions / 3.5: 2, 5, 8, 11, 18, 20, 23-4, 30-1, 34(a,b), 35,49, 50, 54, 60-62, 65
3.6:2-6,11-3,25-6,33,45,48-9, 55-6
June 11 / 3.7 Applications in science
3.8 Exponential growth and decay / 3.7: 1, 4, 14, 18, 22, 32
3.8: 4, 8, 11, 13, 16, 19
June 16 / 3.9 Related rates
3.10 Linear approximation
3.11 Hyperbolic functions / 3.9: 1- 3,5,6,8,10, 14-16, 29,31,35
3.10: 23, 25, 28
3.11: 1-3, 7, 8, 31-34
June 18 / 4.1 Maxima and minima / 4.1: 7, 16-20, 23, 26- 30, 33, 35, 43, 47-49, 54, 55, 57, 60, 61, 75
June 23 / 4.2 The mean value theorem / 4.2: 1,3,5,6,10-12, 17-8,27,29,32-3
June 25 / 4.3 Derivatives and shape / 4.3: 1, 9, 10, 12-14, 17, 18, 20, 22,
33, 37, 42, 43, 44, 46, 47, 68, 77
June 30 / 4.4 l’Hospital’s rule
4.5 Summary of curve sketching / 4.4:7- 9,11-17,19,20,22-3,25-6,28 30,32,39,40,49,51,55,58,73,83, 86
4.5: 1, 4, 9, 15, 23, 24, 33, 34, 35, 40, 42, 62, 63, 64, 66, 70
July 2 / 4.7 Optimization problems / 4.7: 4, 5, 9, 14, 15, 19, 24, 27, 28, 31, 39, 54
July 7 / Test 2/ Newton’s method / 4.8: 3, 7-8, 12-13, 19, 29, 33, 35-6
July 9 / 4.9 Antiderivatives / 4.9: 1-5, 10, 13-17, 20, 22, 24, 35, 38, 39, 41, 47, 48, 59, 62
July 14 / 5.1 Ares and distances
Start 5.2 / 5.1: 2, 4-5, 14
July 16 / 5.2 The definite integral / 5.2: 5, 9, 12, 17-20, 23-4, 34-6, 42
July 21 / 5.3 The fundamental theorem / 5.3: 7,11,13-4, 16,18-21,23,27, 29, 31-2, 35, 39-42, 45, 47, 56, 64, 78
July 23 / 5.4 Indefinite integrals
Start 5.5 / 5.4: 1,3,12, 16- 18, 37-8, 43,45, 60
July 27 / W Deadline
July 28 / 5.5 The substitution rule / 5.5: 1- 8, 11, 16-8, 21, 23, 27, 30, 32, 33, 40, 44, 48, 61, 62, 79
July 30 / Final Examination

Included course topics are subject to reasonable changes at the discretion of the instructor.

Course evaluation method

Average of best 75% of daily quizzes: 25%

Average of Tests 1 and 2: 40%

Comprehensive final Exam: 35%

Course grading scale

Cumulative performance / Grade
≥90 / A
87-89 / A-
83-86 / B+
80-82 / B
77-79 / B-
73-76 / C+
60-72 / C
50-59 / D
<50 / F

Policy on attendance, makeup tests and incompletes

Regular attendance is expected, including active involvement in all class sessions

and professional conduct in class. If announcements are made in class, students are assumed to be aware of the announcements. Students are responsible for arranging to make up work missed because of legitimate class absence, such as illness, family emergencies, military obligation, court-imposed legal obligations, or participation in university-approved activities. It is the student's responsibility to notify the instructor prior to any anticipated absence, and within 24 hours after an unanticipated absence. Makeup tests and exams will be given only under circumstances which coincide with university policy (see link below under attendance). There are no make-ups of quizzes. If you miss a test or exam, you must provide a written, verifiable excuse, if possible in advance of the scheduled exam. For unforeseen absences, you must notify the instructor within 24 hours. http://www.fau.edu/academic/registrar/catalog/academics.php#policiesall

Incompletes are only given according to University policy.

Calculators and other electronics

Students may use electronic textbooks during class; no other use of cellphones, tablets or computers is permitted; cellphones must be silenced. Scientific calculators or five-function calculators may be used during tests (and quizzes and exams), but not graphing calculators. All other electronics must be put away during tests and exams. In particular, you may not use cellphones as calculators during tests or exams.

Tutoring

For tutoring resources, visit http://www.math.fau.edu/MLC/

Required text

Stewart, J. (2012). Calculus: Early Transcendentals (7th ed.). Brooks Cole, Belmont, CA.

Classroom Etiquette

Please refer to the FAU Code of Conduct available at

http://www.fau.edu/regulations/chapter4/4.007_Student_Code_of_Conduct.pdf.

Honor Code

Students at Florida Atlantic University are expected to maintain the highest ethical standards. Academic dishonesty is considered a serious breach of these ethical standards, because

it interferes with the university mission to provide a high quality education in which no student enjoys an unfair advantage over any other. Academic dishonesty is also destructive of the university community, which is grounded in a system of mutual trust and places high value on personal integrity and individual responsibility. Harsh penalties are associated with academic dishonesty. For more information, see University Regulation 4.001 at

http://www.fau.edu/ctl/4.001_Code_of_Academic_Integrity.pdf

Students with Disabilities

In compliance with the Americans with Disabilities Act (ADA), students who require special accommodation due to a disability to properly execute coursework must register with

the Office for Students with Disabilities (OSD) and follow all OSD procedures. In Boca Raton, SU 133 (561-297-3880); in Davie, MOD 1 (954-236-1222); in Jupiter, SR 117 (561-799-8585); or at the Treasure Coast, CO 128 (772-873-3305). OSD website at http://www.osd.fau.edu