Mathematics 211. Calculus

Summer 2018, MTWR 10:20AM-11:35AM

Number of credits: 5 credits

Instructor Eugenia Malitsky
Office: B127 Van Vleck

Email: malitsky@math.wisc.edu
Web page: http://www.math.wisc.edu/~malitsky

Office Hours: M 9:15- 10:00, TuTh 1-2, or by appointment.

Textbook: Brief Applied Calculus, 1st edition, by Stewart and Clegg

Homework and Quizzes: Homework will be assigned each Monday and will be posted on this page. Homework will not be collected. Quizzes will be given in Monday discussion sections.
Each quiz will consist of short problems on the material of the last homework.
Calculators are not allowed on quizzes.

Homework:

Homework 1 (due June 25)

§ 1.1: # 2, 7, 8, 21, 25, 29, 31-34, 37, 39, 41, 45, 47, 50, 55, 56, 57, 59
§ 1.2: # 4, 8, 11, 19, 20, 26, 27, 28, 29, 33, 35, 41, 44, 50, 52, 56
§ 1.3: # 8, 14, 25, 28, 32, 37, 49, 51, 52
§ 1.4: # 1, 3, 11, 14, 16, 23, 30, 33, 34, 37, 39, 42, 43
§ 1.5: # 7, 11, 14, 15, 16, 17, 31, 32, 35a-c, 37, 49

Homework 2 (due July 2)

§ 1.6: # 4, 6, 15, 17, 19, 23-27, 29, 32, 33, 47
§ 2.1: # 1, 3, 11, 18, 19
§ 2.2: # 3, 5, 12, 14, 17, 19, 21, 27, 29, 31, 33, 35, 37, 43, 47, 49
§ 2.3: # 1, 3, 5, 7, 9, 17, 19, 27, 33, 35, 37, 42, 45
§ 2.4: # 18, 19, 23, 34, 37, 41, 43, 46

Homework 3 (due July 9)

§ 3.1: # 1, 3, 5, 7, 9, 13, 17, 22, 25, 26, 29, 33, 41, 45, 57, 61, 65
§ 3.2: # 1, 3, 4, 19, 23
§ 3.3: # 1, 3, 5, 11, 13, 19, 23, 27, 29, 35, 38
§ 3.4: # 1, 3, 5, 11, 13, 17, 18, 19, 33, 35, 41, 47, 55

Homework 4 (due July 16)

§ 3.5: # 1, 7, 9, 15, 17, 19, 21, 25, 29, 32, 39, 43
§ 3.6: # 3, 5, 7, 16, 17, 23, 27, 31, 36
§ 4.1: # 1, 3, 5, 7, 9, 15, 21, 29
§ 4.2: # 3, 5, 7, 11, 18, 21, 36, 41, 45, 57

Midterm Exam Review Problems

page 73: # 5-14, 19-23, 27-29, 31, 33, 36, 39
page 130: # 7-15, 18, 22, 45
page 206: # 5-36, 39, 40, 45, 46, 51, 53-55, 57, 61
page 277: # 42, 45

Homework 5 (due July 23)

§ 4.3: # 1, 15, 17, 19, 23, 26, 32, 36, 37, 41, 55
§ 4.4: # 3, 13, 15, 17, 19, 21, 23, 25, 27, 28, 30, 31
§ 4.5: # 3, 8, 9, 11, 22, 25, 28, 39

Homework 6 (due July 30)

§ 4.6: # 2, 5, 10, 14, 16, 20, 29
§ 4.7: # 3, 6, 9, 10, 18, 31, 32, 37, 39
§ 5.1: # 4, 9, 12, 15, 16, 18, 19, 21, 22, 24, 25, 33, 34
§ 5.2: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 20, 25, 31, 32, 35, 39, 43, 57, 60, 62, 66, 69, 72
§ 5.3: # 1, 4, 8, 12, 15, 23, 25, 27, 30, 34

Homework 7 (due August 6)

§ 5.4: # 1, 3, 9, 13, 17, 19, 21, 23, 27, 33, 39, 41, 43, 47, 51, 53
§ 5.5: # 1, 6, 9, 12, 15, 17, 19, 20, 29, 31
§ 6.1: # 3, 6, 9, 10, 15, 19, 27
§ 6.2: # 10, 11, 12, 14, 15, 19, 24, 27, 31, 33
§ 6.4: # 3, 5, 9, 11, 17, 21, 23, 24, 25, 26, 27, 28, 30
§ 6.5: # 3, 5, 7, 9, 17, 21

More Exam Review Problems

page 277: # 9, 11, 14, 16, 17, 19, 20, 23, 25, 26, 27, 49, 50, 51, 55
page 330: # 3, 5, 8, 10-12, 17-20, 24, 27, 29, 31, 33, 34, 40-42, 47, 49, 51, 53, 58, 59
page 378: # 5, 6, 9, 12, 14, 16, 22, 24, 25, 26, 28, 29

Exams: There will be one in class midterm exam and cumulative final.
"Make-up exams" cannot be given except in the most unusual circumstances.
The student seeking a make-up exam should discuss with the instructor in advance and get the approval before the exam.
Calculators are not allowed on the exams.

The date of midterm exam:
During lecture on Tuesday, July 17

Final exam:
During last lecture on Thursday, August 9.
Final exam is cumulative.

Grading:
The final grade will be determined by one in class midterm exam (90 points), the final exam (110 points) and your quizzes grade (50 points).
Thus the maximum number of points you can earn is 250.

Discussion Sections:
Discussion 301 Eugenia Malitsky MTWR 11:45-12:35 in Van Vleck B235

LEARNING OUTCOMES
At the end of this course students should be able to:

Describe the essential algebraic and geometric properties of elementary functions. moreover, to interpret functions as models of real world phenomena and how these properties inform us of how such phenomena behave.
Compute limits of such functions or determine of a limit does not exist. Classify non-existing limits as infinite or not. Interpret phenomena in the context of a limit. Use limits to resolve questions about phenomena. Use limits to describe asymptotic behavior (both geometrically and physically).
Use the definition of the derivative to compute derivative values of differentiable functions. Use standard computational techniques (e.g., the chain rule, product rule, implicit methods, others) to compute derivatives of differentiable functions.
Interpret the derivative geometrically as the slope of a line tangent to a curve. Interpret a derivative physically as an instantaneous rate of change.
Use the derivative in the context of resolving physical and geometric questions about phenomena. Specifically: approximate function values by a tangent line, optimize function values, determine how changes in one quantity effect another (related rates), use derivative values to describe geometric properties of curves (and vice versa).
Interpret the (definite) integral as an area, as total change of a function, and as the limit of a Riemann sum. Use these interpretations to compute or approximate the value of a definite integral. Compute exact values for some definite integrals through antidifferentiation and associated computational techniques (substitution and integration by parts).
Use definite integrals to resolve questions of geometric and physical phenomena, specifically areas between curves, computing probabilities and expectations, and solving some elementary differential equations/initial value problems.

ACADEMIC INTEGRITY

By enrolling in this course, each student assumes the responsibilities of an active participant in UW-Madison’s community of scholars in which everyone’s academic work and behavior are held to the highest academic integrity standards.
Academic misconduct compromises the integrity of the university. Cheating, fabrication, plagiarism, unauthorized collaboration, and helping others commit these acts are examples of academic misconduct, which can result in disciplinary action. This includes but is not limited to failure on the assignment/course, disciplinary probation, or suspension. Substantial or repeated cases of misconduct will be forwarded to the Office of Student Conduct & Community Standards for additional review. For more information, refer to https://conduct.students.wisc.edu/academic-integrity/.

ACCOMMODATIONS FOR STUDENTS WITH DISABILITIES

McBurney Disability Resource Center syllabus statement: “The University of Wisconsin-Madison supports the right of all enrolled students to a full and equal educational opportunity.
The Americans with Disabilities Act (ADA), Wisconsin State Statute (36.12), and UW-Madison policy (Faculty Document 1071) require that students with disabilities be reasonably accommodated in instruction and campus life.
Reasonable accommodations for students with disabilities is a shared faculty and student responsibility. Students are expected to inform faculty [me] of their need for instructional accommodations by the end of the third week of the semester, or as soon as possible after a disability has been incurred or recognized. Faculty [I], will work either directly with the student [you] or in coordination with the McBurney Center to identify and provide reasonable instructional accommodations. Disability information, including instructional accommodations as part of a student's educational record, is confidential and protected under FERPA.” http://mcburney.wisc.edu/facstaffother/faculty/syllabus.php

DIVERSITY & INCLUSION

Institutional statement on diversity: “Diversity is a source of strength, creativity, and innovation for UW-Madison. We value the contributions of each person and respect the profound ways their identity, culture, background, experience, status, abilities, and opinion enrich the university community.
We commit ourselves to the pursuit of excellence in teaching, research, outreach, and diversity as inextricably linked goals. The University of Wisconsin-Madison fulfills its public mission by creating a welcoming and inclusive community for people from every background – people who as students, faculty, and staff serve Wisconsin and the world.” https://diversity.wisc.edu/