Instructor: Christopher Sadowski
Email: csadowski at ursinus dot edu
Office: Pfahler Hall 101L
Office Hours: Tuesdays and Thursdays, 2:30 - 4:00 or by appointment
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!
Location: Pfahler Hall 012
Meeting times: MTThF 10:00 - 10:50
Grading:
-10% Homework and Maple Labs
-10% Quizzes
-15% Midterm 1
-15% Midterm 2
-15% Midterm 3
-35% Final Exam
Midterms:
Exam 1 will be on Thursday, 2/26/15 covering material up to and including 12.4.
Exam 2 will be on Tuesday, 3/31/15 covering material up to and including 13.4.
Exam 3 will be on Tuesday, 4/28/15 covering material up to and including on triple integrals up to and including 14.3.
Midterm Averages:
Midterm 1: 77.9
Midterm 2: 80.5
Midterm 3: 64.5
Homework: There will be weekly homework assigned each Thursday, to be completed online and finished by the following Thursday. The homework will be given a COMPLETION grade. The point is to learn and make your mistakes on the homework so that you are not making mistakes on the quizzes and exams!
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.
Syllabus (subject to change as the course progresses):
Week 1: (1/19)
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: (1/26)
Section 11.5: Lines and curves in space
Section 11.6: Calculus of vector-valued functions
Week 3: (2/2)
Section 11.7: Motion in space
Section 11.8: Length of curves
Section 11.9: Curvature and normal vectors (curvature)
Week 4: (2/9)
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: (2/16)
Section 12.3: Limits and continuity
Section 12.4: Partial derivatives
Week 6: (2/23)
Section 12.5: The chain rule
Section 12.6: Directional derivatives and the gradient
Exam 1 on 2/26/15
Week 7: (3/2)
Section 12.7: Tangent planes and linear approximation
Section 12.8: Max/min problems
SPRING BREAK
Week 8: (3/16)
Section 12.9: Lagrange multipliers
Section 13.1: Double integrals over rectangular regions
Section 13.2: Double integrals over general regions
Week 9: (3/23)
Section 13.3: Double integrals in polar coordinates
Section 13.4: Triple Integrals
Week 10: (3/30)
Exam 2 on Tuesday, 3/31/15
Section 13.5: Triple integrals in spherical and cylindrical coordinates
Section 13.7: Change of variables; the Jacobian
Week 11: (4/6)
Section 13.7: Change of variables; the Jacobian
Section 14.1: Vector fields
Section 14.2: Line integrals
Week 12: (4/13)
Section 14.2: Line integrals
Section 14.3: Conservative vector fields
Week 13: (4/20)
Section 14.3: Conservative vector fields
Section 14.4: Green's Theorem
Section 14.5: Divergence and Curl
Week 14: (4/27)
Exam 3 on 4/28/15
Section 14.6: Surface Integrals
Section 14.7: Stokes' Theorem
Section 14.8: Divergence theorem