Instructor: Christopher Sadowski
Email: csadowski at ursinus dot edu
Office: Pfahler Hall 101A
Office Hours: Monday, Tuesday, Thursday, Friday: 11:00-12:00
Tuesday and Thursday: 3:00-4:00
Text: Calculus Early Transcendentals, Second Edition, by Briggs, Cochran, and Gillett. Students are expected to read the textbook before class meetings.
Make sure that the text you purchase includes access to MyMathLab!
Course Objectives: Students will learn the basic ideas and techniques of multivariable calculus. Students will be required to know:
Learning Goals: This course will meet the following departmental learning goals:
Location: Olin 101
Meeting times: MTThF 10:00 - 10:50
Grading:
-10% Homework
-5% Maple Labs
-10% Quizzes
-15% Midterm 1
-15% Midterm 2
-15% Midterm 3
-30% Final Exam
Exams: Exams will be announced 2 weeks in advance. Make up exams will require documentation as proof of absence, and will be assessed on a case-by-case basis. The following dates are tentative:
Exam 1: 2/19/16
Exam 2: 3/25/16
Exam 3: 4/22/16
Final Exam:
Homework: There will be weekly homework assigned each Friday, to be completed online and finished by the following Friday.
Quizzes: We will have a quiz on Thursday of each week on the material covered in the previous week. The quiz will be on the homework material due that week. The lowest quiz grade will be dropped.
Maple: There will be several Maple assignments throughout the semester to illustrate various important concepts and ideas.
Academic Honesty: Students may work together and discuss assignments with one another, but all work handed in must be solely the student's. Any incident of cheating on a quiz or exam will results in a grade of 0 for the assignment, with no make-up allowed. A second incident of cheating will result in a failing grade for the course. All incidents of cheating will be reported to the Dean's Office. Please refer to the Student Handbook on Academic Honesty and the Statement on Plagiarism.
Attendance: Students are expected to attend all classes. If you are unable to attend class for a legitimate reason, please email me before class.
Inclement Weather Policy: Students will be emailed in the event that class is cancelled due to inclement weather.Ac
Accommodations Policy: Students requiring accommodations should provide me with the appropriate paperwork from the Accommodations Office at the beginning of the semester.
SPTQ: Towards the end of the semester, students will be reminded to fill out SPTQ forms. These forms are invaluable to both the instructor and the department, since they provide valuable feedback to the instructor on how to improve the course, and provide evaluation information to the department chair. Honest constructive feedback (both positive and negative!) is appreciated.
Inclusive climate in the classroom: In this class we will work to promote an environment where everyone feels safe and welcome, even during uncomfortable conversations. Every voice in the classroom has something of value to contribute to class discussion. Because the class will represent a diversity of individual beliefs, backgrounds, and experiences, every member of this class must show respect for every other member of this class. You are encouraged to not only take advantage of opportunities to express your own ideas, but also, learn from the information and ideas shared by other students.
Syllabus (subject to change as the course progresses):
Week 1: (1/18, 1/19, 1/21, 1/22)
Section 11.1: Vectors in the plane
Section 11.2: Vectors in three dimensions
Section 11.3: Dot products
Section 11.4: Cross products
Week 2: (1/25, 1/26, 1/28, 1/29)
Section 11.5: Lines and curves in space
Section 11.6: Calculus of vector-valued functions
Week 3: (2/1, 2/2, 2/4, 2/5)
Section 11.7: Motion in space
Section 11.8: Length of curves
Section 11.9: Curvature and normal vectors (curvature)
Week 4: (2/8, 2/9, 2/10, 2/11)
Section 11.9: Curvature and normal vectors (normal vectors, components of acceleration)
Section 12.1: Planes and surfaces
Section 12.2: Graphs and level curves
Week 5: (2/15, 2/16, 2/18, 2/19)
Section 12.3: Limits and continuity
Section 12.4: Partial derivatives
Week 6: (2/22, 2/23, 2/24, 2/25)
Section 12.5: The chain rule
Section 12.6: Directional derivatives and the gradient
Week 7: (2/29, 3/1, 3/3, 3/4)
Section 12.7: Tangent planes and linear approximation
Section 12.8: Max/min problems
Week 8: (3/7, 3/8, 3/9, 3/10)
Section 12.9: Lagrange multipliers
Section 13.1: Double integrals over rectangular regions
Section 13.2: Double integrals over general regions
SPRING BREAK
Week 9: (3/21, 3/22, 3/24, 3/25)
Section 13.3: Double integrals in polar coordinates
Section 13.4: Triple Integrals
Week 10: (3/28, 3/29, 3/31, 4/1)
Section 13.5: Triple integrals in spherical and cylindrical coordinates
Section 13.7: Change of variables; the Jacobian
Week 11: (4/4, 4/5, 4/7, 4/8)
Section 13.7: Change of variables; the Jacobian
Section 14.1: Vector fields
Section 14.2: Line integrals
Week 12: (4/11, 4/12, 4/14, 4/15)
Section 14.2: Line integrals
Section 14.3: Conservative vector fields
Week 13: (4/18, 4/19, 4/21, 4/22)
Section 14.3: Conservative vector fields
Section 14.4: Green's Theorem
Section 14.5: Divergence and Curl
Week 14: (4/25, 4/26, 4/28, 4/29)
Exam 3 on 4/28/15
Section 14.6: Surface Integrals
Section 14.7: Stokes' Theorem
Section 14.8: Divergence theorem
Week 15: (5/2)
Review