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Difference between revisions of "Calculus with Analytic Geometry III -- Spring 2014"
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MTH 231 - Calculus with Analytic Geometry III. Vectors, curves, and surfaces in space. Derivatives and integrals of functions of more than one variable. A study of the calculus of vector-valued functions. PR: MTH230. 4 hours.
- Time and Place: 5:00 - 5:50 pm MTWR at 513 Smith Hall.
- Instructor: Peter Saveliev (call me Peter)
- Office: 325 Smith Hall
- Office Hours: TR 2:30-4:30 (tentative), or by appointment
- Office Phone: x4639
- E-mail: saveliev@marshall.edu
- Class Web-Page: math01.com
- Prerequisites: Calculus II -- Fall 2012
- Text: Calculus by Rogawski, Chapters 11 - 17
- Computer Restrictions: graphic calculator TI-83 or TI-83+
- Goals: Calculus in dimension 2 and 3: parametric curves, functions of several variables, line, surface, and volume integrals, some vector calculus
- Quizzes: taken from the exercise sets, open book
- Homework: online via Webwork, weekly
- Grade Breakdown: TOTAL = .05×A + .40×(Q + HW) + .20×M + .35×F
- attendance and participation: 5%
- quizzes and homework: 40%
- midterm: 20%
- final exam: 35%
- Letter Grades: A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: <60
See also Course policy.
Lectures
They will appear exactly as you see them in class and, as the course progresses, will be updated weekly.
Schedule
Tentative...
Week 1 -- 1/13
Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections
11.1 Parametric Equations, 11.2 Arc Length and Speed, 11.3 Polar Coordinates,
Week 2 -- 1/20
Chapter 12: Vector Geometry
12.1 Vectors in the Plane, 12.2 Vectors in Three Dimensions,
Week 3 -- 1/27
12.3 Dot Product and the Angle Between Two Vectors, 12.4 Cross Product,
Week 4 -- 2/3
12.5 Planes in Three-Space, [12.6 A Survey of Quadric Surfaces], 12.7 Cylindrical and Spherical Coordinates,
Chapter 13: Calculus of Vector-Valued Functions
13.1 Vector-Valued Functions,
Week 5 -- 2/10
13.2 Calculus of Vector-Valued Functions, 13.3 Arc Length and Speed,
Week 6 -- 2/17
13.4 Curvature, [13.5 Motion in Three-Space,] [13.6 Planetary Motion According to Kepler and Newton],
Chapter 14: Differentiation in Several Variables
14.1 Functions of Two or More Variables,
Week 7 -- 2/24
14.2 Limits and Continuity in Several Variables, 14.3 Partial Derivatives,
Week 8 -- 3/3
14.4 Differentiability and Tangent Planes,
<<Midterm>> 3/10
Week 9 -- 3/10
14.5 Directional Derivatives, 14.6 The Chain Rule,
Spring Break -- 3/17
Week 10 -- 3/24
14.7 Optimization in Several Variables, [14.8 Lagrange Multipliers: Optimizing with a Constraint],
Chapter 15: Multiple Integration
15.1 Integration in $2$ Variables,
Week 11 -- 3/31
15.2 Double Integrals over More General Regions, 15.3 Triple Integrals, [15.4 Integration in Polar, Cylindrical, and Spherical Coordinates],
Week 12 -- 4/7
15.5 Applications of Multiple Integrals, 15.6 Change of variables Change of Variables,
Chapter 16: Line and Surface Integrals
16.1 Vector Fields,
Week 13 -- 4/14
16.2 Line Integrals, 16.3 Conservative Vector Fields,
Week 14 -- 4/21
16.4 Parametrized Surfaces and Surface Integrals, 16.5 Surface Integrals of Vector Fields,
Chapter 17: Fundamental Theorems of Vector Analysis
17.1 Green’s Theorem,
Week 15 -- 4/28
[17.2 Stokes’ Theorem,] [17.3 Divergence Theorem,]
May 2, Friday Last Class Day
Notes
Calculus III -- Spring 2014 -- midterm, Monday March 10.
Calculus III -- Spring 2014 -- final exam, Monday May 5, 5:00-7:00 pm, same place. Note: If the two-hour time allowance results in a conflict in exam times, it is the student’s responsibility to notify the professor of the later course and to reschedule the later exam.
Old exams: